Physics 106 Lesson #27 Dr. Andrew Tomasch 2405 Randall Lab [email protected] Interference and Diffraction: The Wave Nature of Light

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Physics 106 Lesson #27 Dr. Andrew Tomasch 2405 Randall Lab [email protected] Interference and Diffraction: The Wave Nature of Light Slide 2 What Do We Know About Light? EM wave Mostly travels in straight lines (Ray Tracing) In vacuum light travels at Reflects with i = r Refracts when passing between media with different index of refraction: Bends toward the normal when passing into higher n Snells Law Slide 3 How do We Know Light is a Wave? Distinguishing features of waves: Interference: two waves can add together and cancel Diffraction: waves can travel around corners Slide 4 Interference: Thin Films Light waves traveling from one medium to another undergo partial reflection and partial transmission at the interface of the two mediums Slide 5 Soap Films Slide 6 Diffraction Diffraction: The bending of waves around small obstacles and the spreading of waves beyond small openings Small is defined in comparison to the wavelength The fact that we can hear sounds around corners and behind barriers involves both the diffraction and the reflection of sound waves Slide 7 Huygens Principle Every point on a wave front acts as a source of tiny wavelets that move forward with the same speed as the wave The wave front at a latter instant is the surface that is tangent to the wavelets Slide 8 Diffraction Waves passing through narrow single opening bend and spread out. The diffraction of light is only noticeable when the size of the opening is small compared to the wavelength of the light The amount of bending increases as the size of the opening decreases Slide 9 Diffraction of a Water Wave The extent of the diffraction increases as the size of the opening decreases. Slide 10 Single-Slit Diffraction This top view shows five sources of Huygens wavelets Demonstration Slide 11 The Diffraction Grating We can replace the sine of the diffraction angle by the ratio of two sides of a triangle The slits of the grating are perpendicular to the plane of the page. Slide 12 X-ray Diffraction Complex diffraction patterns reveal the internal arrangements of crystals Lower right panel shows the DNA diffraction pattern that lead to the discovery of the double-helix structure