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26 Interference & Diffraction -- Physical/Wave Optics Thin film interference.

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Presentation on theme: "26 Interference & Diffraction -- Physical/Wave Optics Thin film interference."— Presentation transcript:

1 26 Interference & Diffraction -- Physical/Wave Optics Thin film interference

2 Interference & Coherent Sources

3 Superposition & Interference Superposition: The net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually (wikipedia) Key factor: phase.

4 Double Slits Interference-1 Fringes

5 Double Slits Interference-2 Mirror Equation

6 Example: Determining

7 Interference in Thin Film Note: when n b > n a, reflected wave undergoes an additional half cycle (i.e., /2) phase shift.

8 Example: Interference Fringes (note: additional /2 phase shift from the bottom reflection)

9 Newton Rings & Applications

10 Non-reflective & Reflective Coatings

11 Diffraction & Geometric Optics

12 Diffraction—Reality Fresnel diffraction: near-field diffraction Fraunhofer diffraction: far-field diffraction

13 Single Slit Diffraction

14 Fresnel & Fraunhofer: Single Slit Huygens’s Principle: Every point of a wave front may be considered the source of secondary wavelets that spread out in all directions with a speed equal to the speed of propagation of the waves.

15 Dark Fringes R

16 Multiple Slits & Diffraction Gratings Constructive interference or bright fringes occur: Destructive interference or dark fringes occur:

17 X-Ray Diffraction

18 Circular Apertures & Resolving Power First Dark Ring occurs

19 Resolving Power Rayleigh’s Criterion (  increase D or reduce could improve the resolution)

20 Holography

21 Summary: Superposition, interference, & Coherent Sources

22 Summary: Double Slits Interference

23 Summary: Thin Film Interference

24 Summary: Diffraction & Gratings

25 Summary: X-Ray Diffraction

26 Summary: Circular Apertures & Resolving Power

27 Summary: Holography

28 Ch 26 Homework Answers to multiple choice problems Problems: 1, 6, 11, 15, 25, 27, 47


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