# Modeling and Simulation of Solid‐State Lasers: From Mathematics to Industrial Application

Pflaum C (2018)

**Publication Type:** Conference contribution, Conference Contribution

**Publication year:** 2018

**Publisher:** PAMM

**Event location:** München TUM

**URI:** https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201800215

**DOI:** 10.1002/pamm.201800215

### Abstract

Solid‐state lasers are widely used for different industrial applications
ranging from material processing to medical applications. For designing
and optimization of a solid‐state laser an accurate simulation tool is
need. Such a simulation tool has to be able to simulate different kind
of physical effects like thermal effects, depolarization caused by
stress inside a laser crystal, non‐linear gain, and mode competition. In
order to calculate output power and beam quality, we apply an extension
of the dynamic mode analysis concept (DMA) (see [1]). This model is
based on a 3‐dimensional discretization of population inversion and a
system of complex rate equations. The resulting mathematical equation
system is a large system of ODE's, which has to be solved by a suitable
method including time step control. The difficulty in such a simulation
is the extreme change of parameters. As a consequence the output signal
might be a pulsed signal with high output power of pulse width 1 ns and
time period 1 ms. In order to solve such a system of ordinary
differential equations accurately, we present a suitable numerical
method. Simulation results with industrial applications are presented.

### Authors with CRIS profile

### Related research project(s)

### How to cite

**APA:**

Pflaum, C. (2018). Modeling and Simulation of Solid‐State Lasers: From Mathematics to Industrial Application. In *Proceedings of the GAMM 2018*. München TUM: PAMM.

**MLA:**

Pflaum, Christoph. "Modeling and Simulation of Solid‐State Lasers: From Mathematics to Industrial Application." *Proceedings of the GAMM 2018, München TUM* PAMM, 2018.

**BibTeX:** Download