The key aspect of two-slit interference is the dependence of the total intensity at point O on the angle θ. Find this intensity I(θ). The formula for intensity is I=(ϵ0c(amplitudeofE)2)/2 Express your answer in terms of Imax, θ, d, and λ, where Imax=2ϵ0cE(r)2. Note: cos2x should be coded as cos(x)^2. In order to make the math as simple as possible, we will define two phases:
The key aspect of two-slit interference is the dependence of the total intensity at point O on the angle θ. Find this intensity I(θ). The formula for intensity is I=(ϵ0c(amplitudeofE)2)/2 Express your answer in terms of Imax, θ, d, and λ, where Imax=2ϵ0cE(r)2. Note: cos2x should be coded as cos(x)^2. In order to make the math as simple as possible, we will define two phases:
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter4: Diffraction
Section: Chapter Questions
Problem 89AP: Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in...
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The key aspect of two-slit interference is the dependence of the total intensity at point O on the angle θ. Find this intensity I(θ).
The formula for intensity is
I=(ϵ0c(amplitudeofE)2)/2
Express your answer in terms of Imax, θ, d, and λ, where Imax=2ϵ0cE(r)2. Note: cos2x should be coded as cos(x)^2.
In order to make the math as simple as possible, we will define two phases:
ϕ=(2π/λ)*(r−ct)
andδϕ=(π/λ)dsin(θ)
ThenΦlower=ϕ+δϕ
andΦupper=ϕ−δϕ
E=2E(r)cosϕcosδϕ
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