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

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Presentation transcript:

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

Interference & Coherent Sources

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.

Double Slits Interference-1 Fringes

Double Slits Interference-2 Mirror Equation

Example: Determining

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

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

Newton Rings & Applications

Non-reflective & Reflective Coatings

Diffraction & Geometric Optics

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

Single Slit Diffraction

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.

Dark Fringes R

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

X-Ray Diffraction

Circular Apertures & Resolving Power First Dark Ring occurs

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

Holography

Summary: Superposition, interference, & Coherent Sources

Summary: Double Slits Interference

Summary: Thin Film Interference

Summary: Diffraction & Gratings

Summary: X-Ray Diffraction

Summary: Circular Apertures & Resolving Power

Summary: Holography

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

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