Interference_Diffraction

Interference_Diffraction - Wave Optics Wave Optics •...

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Unformatted text preview: Wave Optics Wave Optics • Water wave passing though an opening • Sharp shadow • The wave nature of light is needed to explain various phenomena – Interference – Diffraction • The particle nature of light was the basis for ray (geometric) optics Interference of light • Young’s double slit experiment – Observed interference fringes Interference • Constructive interference occurs when the path-length difference is integer multiple of the wavelength • In small-angle approximation, angle of bight fringes is • The position of bright fringes can be found • The fringe spacing is independent of m λ θ ∆ m sin d r = = ... , 3 , 2 , 1 , m , d L m y tan L y m = = ⇒ = λ θ ... 3 , 2 , 1 , m , d m m = = λ θ d L y y y m 1 m λ ∆ = − = + Interference • Destructive interference occurs when the path-length difference is a half-integer number of wavelengths • Dark fringes are located exactly halfway between the bright fringes. ... , 2 , 1 , m 2 1 m r = + = λ ∆ ... , 2 , 1 , m , d L 2 1 m ' y m = + = λ Intensity in a double-slit interference • In general, intensity proportional to the square of the amplitude of the wave. • The net amplitude of superimposed wave is given by • The phase difference at position y is • The light intensity is then = 2 cos a 2 A φ ∆ Where a is the amplitude of each individual...
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Interference_Diffraction - Wave Optics Wave Optics •...

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