This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 pathlength difference is integer multiple of the wavelength • In smallangle 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 pathlength difference is a halfinteger 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 doubleslit 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...
View
Full Document
 Spring '08
 drake
 Diffraction, Light, Wavelength, Slit Diffraction, single slit diffraction

Click to edit the document details