PH 4433/6433 Homework 3, Problem 1

Mikhail Gaerlan
16 September 2015

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Introduction

When a plane wave is partially blocked by a straight edge, the intensity of of the wave at a point (x, z) is given by

$\displaystyle{I=\frac{I _0}{8}\left([2C(u)+1]^2+[2S(u)+1]^2\right)}$
$\displaystyle{u=x\sqrt{\frac{2}{\lambda z}}\quad C(u)=\int _0^u\cos\left(\frac{1}{2}\pi t^2\right)dt\quad S(u)=\int _0^u\sin\left(\frac{1}{2}\pi t^2\right).}$


Code


Results

Intensity

z = 0.5 z = 1
z = 2 z = 3


Discussion

A value of N = 100 was found to obtain accurate results.