Explore BrainMass

Plane Wave Propagation

Please see the attached file for a full description of the problem.

Consider a unit vector s = , and a plane perpendicular to s at a distance d from the origin.

a. For all points r within this plane, show that r.s = x sz + y sy + z sz = d.
b. Show that the scalar function f (x, y, z, t) = exp(i 2 pi (xsx + ysy + z sz)/L - nt)
represents a plane wave propagating along s with wavelength L and temporal frequency n, at a speed v = Ln


Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.

r.s = ...

Solution Summary

Solution to this problem is in a 4-page word document. I have clearly shown every step of the solution. Solution is typed using equation editor and in an easy to understand manner.