- #1
atomicpedals
- 209
- 7
Homework Statement
For a rectangular wave guide the components of E were found to be
Ex = A1 cos( k1 x) sin(k2 y) e-i ([tex]\omega[/tex]t-[tex]\gamma[/tex]z)
Ey = A2 cos( k1 x) sin(k2 y) e-i ([tex]\omega[/tex]t-[tex]\gamma[/tex]z)
Ez = 0
Show that in these equations A1 = -A2 k2 / k1
Homework Equations
See part (a)
The Attempt at a Solution
My first instinct is simply substitute this given A1 into the x equation and show its equivalence to the second. But I'm not so sure that's the best way to go about it (or even the correct way to go about it). It would be tempting to solve this using matrices but that doesn't seem appropriate.
So, any suggestions as to if I'm on the right track or way off base are much appreciated!