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26 Interference & Diffraction -- Physical/Wave Optics Thin film interference
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Interference & Coherent Sources
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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.
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Double Slits Interference-1 Fringes
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Double Slits Interference-2 Mirror Equation
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Example: Determining
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Interference in Thin Film Note: when n b > n a, reflected wave undergoes an additional half cycle (i.e., /2) phase shift.
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Example: Interference Fringes (note: additional /2 phase shift from the bottom reflection)
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Newton Rings & Applications
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Non-reflective & Reflective Coatings
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Diffraction & Geometric Optics
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Diffraction—Reality Fresnel diffraction: near-field diffraction Fraunhofer diffraction: far-field diffraction
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Single Slit Diffraction
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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.
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Dark Fringes R
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Multiple Slits & Diffraction Gratings Constructive interference or bright fringes occur: Destructive interference or dark fringes occur:
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X-Ray Diffraction
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Circular Apertures & Resolving Power First Dark Ring occurs
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Resolving Power Rayleigh’s Criterion ( increase D or reduce could improve the resolution)
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Holography
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Summary: Superposition, interference, & Coherent Sources
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Summary: Double Slits Interference
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Summary: Thin Film Interference
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Summary: Diffraction & Gratings
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Summary: X-Ray Diffraction
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Summary: Circular Apertures & Resolving Power
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Summary: Holography
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Ch 26 Homework Answers to multiple choice problems Problems: 1, 6, 11, 15, 25, 27, 47
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