Three-dimensional computation of laser cavity eigenmodes by the use of finite element analysis (FEA)

Konrad Altmann; Christoph Pflaum; David Seider

doi:10.1117/12.532578

1 June 2004 Three-dimensional computation of laser cavity eigenmodes by the use of finite element analysis (FEA)

Konrad Altmann, Christoph Pflaum, David Seider

Proceedings Volume 5333, Laser Resonators and Beam Control VII; (2004) https://doi.org/10.1117/12.532578
Event: Lasers and Applications in Science and Engineering, 2004, San Jose, Ca, United States

Abstract

A new method for computing eigenmodes of a laser resonator by the use of finite element analysis (FEA) is presented. For this purpose, the scalar wave equation [Δ + k²]E(x,y,z) = 0 is transformed into a solvable 3D eigenvalue problem by separating out the propagation factor exp(-ikz) from the phasor amplitude E(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 DPSSL with a thermally lensing crystal inside the cavity the expected deviation between Gaussian approximation and numerical solution could be demonstrated clearly.

Citation Download Citation

Konrad Altmann, Christoph Pflaum, and David Seider "Three-dimensional computation of laser cavity eigenmodes by the use of finite element analysis (FEA)", Proc. SPIE 5333, Laser Resonators and Beam Control VII, (1 June 2004); https://doi.org/10.1117/12.532578

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