# Question on homogeneous plane wave

1. Feb 9, 2009

### r3dxp

1. The problem statement, all variables and given/known data
http://www.prism.gatech.edu/~bpark6/ECE/Example_Plane_Wave_Problem.pdf [Broken]

What I do not understand is how they calculated h(with ^ on top) == h(hat) that is present under SOLUTION: section on the line that goes H(r) = 1.22 x 10^-7 [.....

following the constitutive parts, h(hat) is [1/sqrt(6) *x(hat) - 1//sqrt(6) *y(hat) - 2/sqrt(6) *z(hat)]

my analogy to maybe solving the h(hat) is by crossing e(hat) with k(hat) where..

e(hat) =[ 4/sqrt(21) *x(hat) - 2/sqrt(21) *y(hat) + 1/sqrt(21) *z(hat) ]
k(hat) =[ 1/sqrt(14) *x(hat) + 3/sqrt(14) *y(hat) + 2//sqrt(14) *z(hat) ]

when i do the cross product, I get h(hat) = [-1/sqrt(6) *x(hat) - 1//sqrt(6) *y(hat) + 2/sqrt(6) *z(hat)]

thus, my answer of h(hat) is different than the h(hat) solution only due to the signs..

could somebody explain to me how to get the correct h(hat) with the correct signs ? thanks alot in advance!

Last edited by a moderator: May 4, 2017