A new method for computing eigenmodes of a laser resonator by the use of fi-nite element analysis (FEA) is presented. For this purpose, the scalar wave equation [Δ + k 2]Ẽ(x, y, z) = 0 is transformed into a solvable 3D eigenvalue problem by separating out the propagation factor exp(-ikz) from the phasor amplitude Ẽ(x, y, z) of the time-harmonic electrical field. For cavities with parabolic optical elements the new approach has successfully been verified by the use of the gaussian mode algorithm. For a DPSSL with a thermally lensing crystal inside the cavity the expected deviation between gaussian approximation and numerical solution could be demonstrated clearly.
© 2004 Optical Society of AmericaPDF Article