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Physics & Informatics Ildikó László, PhD The Camera - Overview Geometrical Optics Ray Optics Image Formation The Spherical Mirror Image Forming Instruments - The Camera Ildikó László, PhD Dept. Programming Languages and Compilers Eötvös Loránd University, Budapest, Hungary Financed from the financial support ELTE won from the Higher Education Restructuring Fund of the Hungarian Government

Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

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Page 1: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Image Forming Instruments - TheCamera

Ildikó László, PhD

Dept. Programming Languages and CompilersEötvös Loránd University, Budapest, Hungary

Financed from the financial support ELTE won from the HigherEducation Restructuring Fund of the Hungarian Government

Page 2: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Image Forming InstrumentsI - the simplest optical instruments consist of a single

convergent lensI - forming a real image of an object upon a

light-sensitive material;I - such examples are:

- the eye and the photographic camera;

Page 3: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Image Forming InstrumentsI - the simplest optical instruments consist of a single

convergent lensI - forming a real image of an object upon a

light-sensitive material;I - such examples are:

- the eye and the photographic camera;

Page 4: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Image Forming InstrumentsI - the simplest optical instruments consist of a single

convergent lensI - forming a real image of an object upon a

light-sensitive material;I - such examples are:

- the eye and the photographic camera;

Page 5: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - a camera is an optical instrument for recordingimages;

I - the word camera comes from camera obscura,which means "dark chamber"

I - and is the Latin name of the original devicefor projecting an image of external reality onto a flatsurface;

I - the modern photographic camera evolved from thecamera obscura;

I - the functioning of the camera is very similar to thefunctioning of the human eye;

Page 6: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - a camera is an optical instrument for recordingimages;

I - the word camera comes from camera obscura,which means "dark chamber"

I - and is the Latin name of the original devicefor projecting an image of external reality onto a flatsurface;

I - the modern photographic camera evolved from thecamera obscura;

I - the functioning of the camera is very similar to thefunctioning of the human eye;

Page 7: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - a camera is an optical instrument for recordingimages;

I - the word camera comes from camera obscura,which means "dark chamber"

I - and is the Latin name of the original devicefor projecting an image of external reality onto a flatsurface;

I - the modern photographic camera evolved from thecamera obscura;

I - the functioning of the camera is very similar to thefunctioning of the human eye;

Page 8: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - a camera is an optical instrument for recordingimages;

I - the word camera comes from camera obscura,which means "dark chamber"

I - and is the Latin name of the original devicefor projecting an image of external reality onto a flatsurface;

I - the modern photographic camera evolved from thecamera obscura;

I - the functioning of the camera is very similar to thefunctioning of the human eye;

Page 9: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - a camera is an optical instrument for recordingimages;

I - the word camera comes from camera obscura,which means "dark chamber"

I - and is the Latin name of the original devicefor projecting an image of external reality onto a flatsurface;

I - the modern photographic camera evolved from thecamera obscura;

I - the functioning of the camera is very similar to thefunctioning of the human eye;

Page 10: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the simplest optical instrument- consists of a single convergent lens- forming a real image of an object on alight-sensitive surface;

I - a camera may work with the light of the visiblespectrum- or with other portions of the electromagneticspectrum;

I - the first permanent photograph of a camera imageI - was made in 1826 by Joseph Nicéphore Niépce;I - he used a sliding wooden box camera made by:

- Charles and Vincent Chevalier in Paris;

Page 11: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the simplest optical instrument- consists of a single convergent lens- forming a real image of an object on alight-sensitive surface;

I - a camera may work with the light of the visiblespectrum- or with other portions of the electromagneticspectrum;

I - the first permanent photograph of a camera imageI - was made in 1826 by Joseph Nicéphore Niépce;I - he used a sliding wooden box camera made by:

- Charles and Vincent Chevalier in Paris;

Page 12: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the simplest optical instrument- consists of a single convergent lens- forming a real image of an object on alight-sensitive surface;

I - a camera may work with the light of the visiblespectrum- or with other portions of the electromagneticspectrum;

I - the first permanent photograph of a camera imageI - was made in 1826 by Joseph Nicéphore Niépce;I - he used a sliding wooden box camera made by:

- Charles and Vincent Chevalier in Paris;

Page 13: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the simplest optical instrument- consists of a single convergent lens- forming a real image of an object on alight-sensitive surface;

I - a camera may work with the light of the visiblespectrum- or with other portions of the electromagneticspectrum;

I - the first permanent photograph of a camera imageI - was made in 1826 by Joseph Nicéphore Niépce;I - he used a sliding wooden box camera made by:

- Charles and Vincent Chevalier in Paris;

Page 14: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the simplest optical instrument- consists of a single convergent lens- forming a real image of an object on alight-sensitive surface;

I - a camera may work with the light of the visiblespectrum- or with other portions of the electromagneticspectrum;

I - the first permanent photograph of a camera imageI - was made in 1826 by Joseph Nicéphore Niépce;I - he used a sliding wooden box camera made by:

- Charles and Vincent Chevalier in Paris;

Page 15: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the inventor Louis-Jacques-Mande Daguerreimproved the camera obscura design;

I - he succeeded in developing a high-contrast andsharp image

I - by exposing on a plate coated with silver iodide,- and exposing this plate again to mercury vapor;

I - by 1837, he was able to fix the imageswith a common salt solution;

I - he called this process Daguerreotype;

Page 16: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the inventor Louis-Jacques-Mande Daguerreimproved the camera obscura design;

I - he succeeded in developing a high-contrast andsharp image

I - by exposing on a plate coated with silver iodide,- and exposing this plate again to mercury vapor;

I - by 1837, he was able to fix the imageswith a common salt solution;

I - he called this process Daguerreotype;

Page 17: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the inventor Louis-Jacques-Mande Daguerreimproved the camera obscura design;

I - he succeeded in developing a high-contrast andsharp image

I - by exposing on a plate coated with silver iodide,- and exposing this plate again to mercury vapor;

I - by 1837, he was able to fix the imageswith a common salt solution;

I - he called this process Daguerreotype;

Page 18: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the inventor Louis-Jacques-Mande Daguerreimproved the camera obscura design;

I - he succeeded in developing a high-contrast andsharp image

I - by exposing on a plate coated with silver iodide,- and exposing this plate again to mercury vapor;

I - by 1837, he was able to fix the imageswith a common salt solution;

I - he called this process Daguerreotype;

Page 19: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the inventor Louis-Jacques-Mande Daguerreimproved the camera obscura design;

I - he succeeded in developing a high-contrast andsharp image

I - by exposing on a plate coated with silver iodide,- and exposing this plate again to mercury vapor;

I - by 1837, he was able to fix the imageswith a common salt solution;

I - he called this process Daguerreotype;

Page 20: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the first photographic camera developed forcommercial manufacture was

I - a daguerreotype camera,- built by Alphonse Giroux in 1839;

I - the camera was a double-box design,- with a landscape lens fitted to the outer box,

I - and a holder for a ground glass focusing screenand image plate on the inner box;

Page 21: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the first photographic camera developed forcommercial manufacture was

I - a daguerreotype camera,- built by Alphonse Giroux in 1839;

I - the camera was a double-box design,- with a landscape lens fitted to the outer box,

I - and a holder for a ground glass focusing screenand image plate on the inner box;

Page 22: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the first photographic camera developed forcommercial manufacture was

I - a daguerreotype camera,- built by Alphonse Giroux in 1839;

I - the camera was a double-box design,- with a landscape lens fitted to the outer box,

I - and a holder for a ground glass focusing screenand image plate on the inner box;

Page 23: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the first photographic camera developed forcommercial manufacture was

I - a daguerreotype camera,- built by Alphonse Giroux in 1839;

I - the camera was a double-box design,- with a landscape lens fitted to the outer box,

I - and a holder for a ground glass focusing screenand image plate on the inner box;

Page 24: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - by sliding the inner box,objects at various distances could be broughtto as sharp a focus as desired;

I - after an image had been focused on the screen,- the screen was replaced with a sensitized plate;

I - Daguerreotype cameras formed images on silveredcopper plates;

I - they required long exposure times,- which in 1839 could be from 5 to 30 minutes;

Page 25: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - by sliding the inner box,objects at various distances could be broughtto as sharp a focus as desired;

I - after an image had been focused on the screen,- the screen was replaced with a sensitized plate;

I - Daguerreotype cameras formed images on silveredcopper plates;

I - they required long exposure times,- which in 1839 could be from 5 to 30 minutes;

Page 26: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - by sliding the inner box,objects at various distances could be broughtto as sharp a focus as desired;

I - after an image had been focused on the screen,- the screen was replaced with a sensitized plate;

I - Daguerreotype cameras formed images on silveredcopper plates;

I - they required long exposure times,- which in 1839 could be from 5 to 30 minutes;

Page 27: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - by sliding the inner box,objects at various distances could be broughtto as sharp a focus as desired;

I - after an image had been focused on the screen,- the screen was replaced with a sensitized plate;

I - Daguerreotype cameras formed images on silveredcopper plates;

I - they required long exposure times,- which in 1839 could be from 5 to 30 minutes;

Page 28: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the use of photographic film was pioneered byGeorge Eastman;

I - first he started manufacturing paper film in 1885before switching to celluloid in 1889;

I - his first camera, which he called the "Kodak,"- was first offered for sale in 1888;

I - it was a very simple box camera witha fixed-focus lens and single shutter speed;

I - the Kodak came pre-loaded with enough film for100 exposures;

Page 29: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the use of photographic film was pioneered byGeorge Eastman;

I - first he started manufacturing paper film in 1885before switching to celluloid in 1889;

I - his first camera, which he called the "Kodak,"- was first offered for sale in 1888;

I - it was a very simple box camera witha fixed-focus lens and single shutter speed;

I - the Kodak came pre-loaded with enough film for100 exposures;

Page 30: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the use of photographic film was pioneered byGeorge Eastman;

I - first he started manufacturing paper film in 1885before switching to celluloid in 1889;

I - his first camera, which he called the "Kodak,"- was first offered for sale in 1888;

I - it was a very simple box camera witha fixed-focus lens and single shutter speed;

I - the Kodak came pre-loaded with enough film for100 exposures;

Page 31: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the use of photographic film was pioneered byGeorge Eastman;

I - first he started manufacturing paper film in 1885before switching to celluloid in 1889;

I - his first camera, which he called the "Kodak,"- was first offered for sale in 1888;

I - it was a very simple box camera witha fixed-focus lens and single shutter speed;

I - the Kodak came pre-loaded with enough film for100 exposures;

Page 32: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - the use of photographic film was pioneered byGeorge Eastman;

I - first he started manufacturing paper film in 1885before switching to celluloid in 1889;

I - his first camera, which he called the "Kodak,"- was first offered for sale in 1888;

I - it was a very simple box camera witha fixed-focus lens and single shutter speed;

I - the Kodak came pre-loaded with enough film for100 exposures;

Page 33: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - and needed to be sent back to the factoryfor processing and reloading when the roll wasfinished;

I - in a photographic camera,- a real and inverted image of an object is formed

I - by a lens or combination of lenses- upon a surface of a photographic film or plate;

I - a main characteristic of a camera is- the focal length of its optical system

I - another requirement is that it should cover a largeangular field;

Page 34: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - and needed to be sent back to the factoryfor processing and reloading when the roll wasfinished;

I - in a photographic camera,- a real and inverted image of an object is formed

I - by a lens or combination of lenses- upon a surface of a photographic film or plate;

I - a main characteristic of a camera is- the focal length of its optical system

I - another requirement is that it should cover a largeangular field;

Page 35: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - and needed to be sent back to the factoryfor processing and reloading when the roll wasfinished;

I - in a photographic camera,- a real and inverted image of an object is formed

I - by a lens or combination of lenses- upon a surface of a photographic film or plate;

I - a main characteristic of a camera is- the focal length of its optical system

I - another requirement is that it should cover a largeangular field;

Page 36: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - and needed to be sent back to the factoryfor processing and reloading when the roll wasfinished;

I - in a photographic camera,- a real and inverted image of an object is formed

I - by a lens or combination of lenses- upon a surface of a photographic film or plate;

I - a main characteristic of a camera is- the focal length of its optical system

I - another requirement is that it should cover a largeangular field;

Page 37: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera

I - and needed to be sent back to the factoryfor processing and reloading when the roll wasfinished;

I - in a photographic camera,- a real and inverted image of an object is formed

I - by a lens or combination of lenses- upon a surface of a photographic film or plate;

I - a main characteristic of a camera is- the focal length of its optical system

I - another requirement is that it should cover a largeangular field;

Page 38: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera - Overview

Geometrical OpticsRay OpticsImage FormationThe Spherical Mirror

Page 39: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Geometrical Optics

I - there are many evidences, which suggest- that light travels in straight line- in a variety of circumstances;

I - these experiences led to the ray model of light;I - light is described by rays that travel in different

optical mediaI - in accordance with a set of geometrical rules;

Page 40: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Geometrical Optics

I - there are many evidences, which suggest- that light travels in straight line- in a variety of circumstances;

I - these experiences led to the ray model of light;I - light is described by rays that travel in different

optical mediaI - in accordance with a set of geometrical rules;

Page 41: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Geometrical Optics

I - there are many evidences, which suggest- that light travels in straight line- in a variety of circumstances;

I - these experiences led to the ray model of light;I - light is described by rays that travel in different

optical mediaI - in accordance with a set of geometrical rules;

Page 42: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Geometrical Optics

I - there are many evidences, which suggest- that light travels in straight line- in a variety of circumstances;

I - these experiences led to the ray model of light;I - light is described by rays that travel in different

optical mediaI - in accordance with a set of geometrical rules;

Page 43: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - ray optics is therefore called:geometrical optics;

I - geometrical optics is that part of optics in which weneglect the wave property of light;

I - in this approximation the optical laws may beformulated in the language of geometry;

I - the geometrical light rays may be definedI - as the orthogonal trajectories to the geometrical

wave-fronts;

Page 44: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - ray optics is therefore called:geometrical optics;

I - geometrical optics is that part of optics in which weneglect the wave property of light;

I - in this approximation the optical laws may beformulated in the language of geometry;

I - the geometrical light rays may be definedI - as the orthogonal trajectories to the geometrical

wave-fronts;

Page 45: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - ray optics is therefore called:geometrical optics;

I - geometrical optics is that part of optics in which weneglect the wave property of light;

I - in this approximation the optical laws may beformulated in the language of geometry;

I - the geometrical light rays may be definedI - as the orthogonal trajectories to the geometrical

wave-fronts;

Page 46: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - ray optics is therefore called:geometrical optics;

I - geometrical optics is that part of optics in which weneglect the wave property of light;

I - in this approximation the optical laws may beformulated in the language of geometry;

I - the geometrical light rays may be definedI - as the orthogonal trajectories to the geometrical

wave-fronts;

Page 47: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - ray optics is therefore called:geometrical optics;

I - geometrical optics is that part of optics in which weneglect the wave property of light;

I - in this approximation the optical laws may beformulated in the language of geometry;

I - the geometrical light rays may be definedI - as the orthogonal trajectories to the geometrical

wave-fronts;

Page 48: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - and are useful in studying image formation;I - optical components are often centered about an

optical axis, around which the rays travel at smallinclinations;

I - such rays are called paraxial rays;I - this is a basic assumption of paraxial optics;

Page 49: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - and are useful in studying image formation;I - optical components are often centered about an

optical axis, around which the rays travel at smallinclinations;

I - such rays are called paraxial rays;I - this is a basic assumption of paraxial optics;

Page 50: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - and are useful in studying image formation;I - optical components are often centered about an

optical axis, around which the rays travel at smallinclinations;

I - such rays are called paraxial rays;I - this is a basic assumption of paraxial optics;

Page 51: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Ray Optics

I - and are useful in studying image formation;I - optical components are often centered about an

optical axis, around which the rays travel at smallinclinations;

I - such rays are called paraxial rays;I - this is a basic assumption of paraxial optics;

Page 52: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera - Overview

Geometrical OpticsRay OpticsImage FormationThe Spherical Mirror

Page 53: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Fermat’s Principle

I - light travels in the form of rays;- the rays are emitted by light sources and can beobserved when they reach an optical "detector";

I - an optical medium is characterized by a quantityn ≥ 1, called refractive index;- the refractive index is the ratio of the speed of lightin free space c, to that in the medium v ;

I - in an inhomogeneous medium, the refractive index- n(r) is a function of the position;

I - Fermat’s Principle:- optical rays traveling between two points A and Bfollow a path such that the time of travel between thetwo points is an extremum relative to neighboringpaths;

Page 54: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Fermat’s Principle

I - light travels in the form of rays;- the rays are emitted by light sources and can beobserved when they reach an optical "detector";

I - an optical medium is characterized by a quantityn ≥ 1, called refractive index;- the refractive index is the ratio of the speed of lightin free space c, to that in the medium v ;

I - in an inhomogeneous medium, the refractive index- n(r) is a function of the position;

I - Fermat’s Principle:- optical rays traveling between two points A and Bfollow a path such that the time of travel between thetwo points is an extremum relative to neighboringpaths;

Page 55: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Fermat’s Principle

I - light travels in the form of rays;- the rays are emitted by light sources and can beobserved when they reach an optical "detector";

I - an optical medium is characterized by a quantityn ≥ 1, called refractive index;- the refractive index is the ratio of the speed of lightin free space c, to that in the medium v ;

I - in an inhomogeneous medium, the refractive index- n(r) is a function of the position;

I - Fermat’s Principle:- optical rays traveling between two points A and Bfollow a path such that the time of travel between thetwo points is an extremum relative to neighboringpaths;

Page 56: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Fermat’s Principle

I - light travels in the form of rays;- the rays are emitted by light sources and can beobserved when they reach an optical "detector";

I - an optical medium is characterized by a quantityn ≥ 1, called refractive index;- the refractive index is the ratio of the speed of lightin free space c, to that in the medium v ;

I - in an inhomogeneous medium, the refractive index- n(r) is a function of the position;

I - Fermat’s Principle:- optical rays traveling between two points A and Bfollow a path such that the time of travel between thetwo points is an extremum relative to neighboringpaths;

Page 57: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Plane Mirror

I - a plane mirror reflects the rays originating- from a point so that the reflected rays- appear to originate from a point behind the mirror,- called image;

I - image formation by a plane mirror:

Page 58: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Plane Mirror

I - a plane mirror reflects the rays originating- from a point so that the reflected rays- appear to originate from a point behind the mirror,- called image;

I - image formation by a plane mirror:

Page 59: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Laws of Reflection and Refraction

I - the angle of incidence θi , is the angle an incidentray makes with the normal to the surface;

I - the angle of reflection θr is the angle the reflectedray makes with the normal of the surface;

I - the angle of incidence is equal to the angle ofreflection;-that is:- θi = θr ;

Page 60: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Laws of Reflection and Refraction

I - the angle of incidence θi , is the angle an incidentray makes with the normal to the surface;

I - the angle of reflection θr is the angle the reflectedray makes with the normal of the surface;

I - the angle of incidence is equal to the angle ofreflection;-that is:- θi = θr ;

Page 61: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Laws of Reflection and Refraction

I - the angle of incidence θi , is the angle an incidentray makes with the normal to the surface;

I - the angle of reflection θr is the angle the reflectedray makes with the normal of the surface;

I - the angle of incidence is equal to the angle ofreflection;-that is:- θi = θr ;

Page 62: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Camera - Overview

Geometrical OpticsRay OpticsImage FormationThe Spherical Mirror

Page 63: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

Reflection by Spherical Mirrors

I - a spherical mirror of radius R,- acts like a paraboloidal mirror,- of focal length f = R/2;

Page 64: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Concave MirrorI - a spherical mirror is called concave

- if the reflecting surface is on the inner surface of thesphere;

I - the triangle CIF is isosceles; that is, CF=IF;I - if the rays are paraxial, FO can be approximated by

IF and for the focal length we get:f = R/2;

Page 65: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Concave MirrorI - a spherical mirror is called concave

- if the reflecting surface is on the inner surface of thesphere;

I - the triangle CIF is isosceles; that is, CF=IF;I - if the rays are paraxial, FO can be approximated by

IF and for the focal length we get:f = R/2;

Page 66: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Concave MirrorI - a spherical mirror is called concave

- if the reflecting surface is on the inner surface of thesphere;

I - the triangle CIF is isosceles; that is, CF=IF;I - if the rays are paraxial, FO can be approximated by

IF and for the focal length we get:f = R/2;

Page 67: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Concave Mirror

I - denoting the height of the object and image by o,and i respectively, it results in:

od0

=idi;

od0−r =

ir − di

; (1)

I - from where we get:

1d0

+1di

=2r; (2)

Page 68: Image Forming Instruments - The Cameraaszt.inf.elte.hu/~ildiko/Physics/Cl_1_2.pdf · I - was made in 1826 by Joseph Nicéphore Niépce; I - he used a sliding wooden box camera made

Physics &Informatics

Ildikó László, PhD

The Camera -Overview

GeometricalOpticsRay Optics

Image Formation

The Spherical Mirror

The Concave Mirror

I - denoting the height of the object and image by o,and i respectively, it results in:

od0

=idi;

od0−r =

ir − di

; (1)

I - from where we get:

1d0

+1di

=2r; (2)