Www.opticalimaging.org Tutorial on Computational Optical Imaging University of Minnesota 19-23 September David J. Brady Duke University

www.opticalimaging.org

Tutorial on Computational Optical Imaging

University of Minnesota19-23 September

David J. BradyDuke University

www.disp.duke.edu


Lectures

1. Computational Imaging2. Geometric Optics and Tomography3. Diffraction and optical elements4. Holography5. Lenses, Imaging and MTF6. Wavefront Coding and the impulse response7. Interferometry and the van Cittert Zernike Theorem8. Optical coherence tomography and modal analysis9. Spectra, coherence and polarization10. Computational spectroscopy and imaging


Lecture 3. Diffractionand Optical Elements

• Harmonic analysis in optics

• Diffraction and the diffraction impulse response

• Fresnel diffraction

• Fraunhofer diffraction

• Optical Elements


Wave Model of the Electromagnetic Field


Harmonic Analysis of EM Fields


Harmonic Analysis of EM Field


Diffraction and the Impulse Response


Shift Invariant Linear Transformation

H(u,v)=


Fresnel Diffraction





Uncertainty and the Fresnel Transform


Fraunhoffer Diffraction


Size Estimation from Fraunhofer Diffraction


Optical Elements

prism

http://www.holonet.khm.de/jross/collection/reber.htmlgrating

http://www.holonet.khm.de/jross/collection/reber.html


Transmittance Functions


Prism Transmittance


Grating Transmittance


Absorption, density and surface gratings


Lenses


Lens transmittance


The Lens as a Curved Prism





3D optical elementshttp://www.canon.com/camera-museum/tech/l_plant/kumitate/ku_5/body5.html


Photonic Crystals and Circuits


Interesting Mathematical Issues

• How to simply model, understand and use 3D optical elements

Documents

Www.opticalimaging.org Tutorial on Computational Optical Imaging University of Minnesota 19-23 September David J. Brady Duke University