Three-Dimensional Finite Element Computation of Laser Cavity Eigenmodes

Pflaum C, Seider D, Altmann K (2004)

Publication Type: Journal article, Original article

Publication year: 2004


Book Volume: 43

Pages Range: 1892-1901

Journal Issue: 9


DOI: 10.1364/AO.43.001892


A new method for computing eigenmodes of a laser resonator by the use of finite element analysis is presented. For this purpose, the scalar wave equation (Δ + k 2)(x, y, z) = 0 is transformed into a solvable three-dimensional eigenvalue problem by the separation of the propagation factor exp(-ikz) from the phasor amplitude (x, y, z) of the time-harmonic electrical field. For standing wave resonators, the beam inside the cavity is represented by a two-wave ansatz. For cavities with parabolic optical elements, the new approach has successfully been verified by the use of the Gaussian mode algorithm. For a diode-pumped solid-state laser with a thermally lensing crystal inside the cavity, the expected deviation between Gaussian approximation and numerical solution could be demonstrated clearly.

Authors with CRIS profile

How to cite


Pflaum, C., Seider, D., & Altmann, K. (2004). Three-Dimensional Finite Element Computation of Laser Cavity Eigenmodes. Applied Optics, 43(9), 1892-1901.


Pflaum, Christoph, David Seider, and Konrad Altmann. "Three-Dimensional Finite Element Computation of Laser Cavity Eigenmodes." Applied Optics 43.9 (2004): 1892-1901.

BibTeX: Download