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Question: Plotting rays in the first quadrant

Question:Plotting rays in the first quadrant

prAne 10
plot
July 24 2013
0

Solving Helmholtz' equation by seperation of variables yields a solution of the form

(a*exp(I*k_x*x)+b*exp(-I*k_x*x))*(c*exp(I*k_y*y)+d*exp(-I*k_y*y))

if we consider a wave in the first quadrant that is moving away from the x axis then it has the form

c*(a*exp(I*k_x*x)+b*exp(-I*k_x*x))

is it possible to plot this wave in the first quadrant?

Also if I switch to polar coordinates (r,theta) can I produce similar plots of rays?
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