Solving Maxwell's Equations in Laser Cavity | Tips and Troubleshooting

[atha]

Hello guys,

I've been trying to solve Maxwell's Equations in a laser cavity, with length L.
However I cannot...
I've searched over the net to find a proper solution but I couldn't.

I started by taking a field E(x,y,x,t)=E₀ e(x,y)e^{-jw t}e^{-jb z}.
I take the phasor E(x,y,z)=e(x,y)e^{-jb z} and I put it in the Maxwell's equations

\nabla x E = -j \omega \mu_0 H
\nabla x H = j \omega \epsilon_0 E

where H=the phasor of the magnetic field=h(x,y)e^{-j \beta z}.

Any ideas? Please...

 

[chrisbaird]

http://faculty.uml.edu/cbaird/95.658%282011%29/Lecture5.pdf" You start with the waveguide equations and then apply boundary conditions.