Inverse analysis for the identification of temporal and spatial characteristics of a short super-Gaussian laser pulse interacting with a solid plate

TL;DR

This paper introduces a numerical inverse method using thermography to identify key parameters of a short super-Gaussian laser pulse interacting with a solid, validated through synthetic data and sensitivity analysis.

Contribution

It presents a novel inverse analysis technique combining heat transfer modeling and Levenberg-Marquardt optimization for laser pulse characterization.

Findings

Successfully retrieves laser parameters from temperature data

Demonstrates robustness of the inverse method with synthetic data

Provides insights into the method's strengths and limitations

Abstract

In this paper, the results of numerical experiments verifying a novel setup for laser beam profiling are presented. The experimental setup is based on infrared thermography and includes laser beam illuminating a thin metal plate. The method allows to determine four parameters of the short high-power laser pulse, namely the Super-Gaussian profile coefficient, laser power, pulse start time and duration. The unknown parameters are retrieved based on temporal and spatial temperature distributions at the rear side of the illuminated plate. The applied inverse method is based on Levenberg-Marquardt technique and it is implemented in the GNU Octave environment. Solutions of the forward problem are obtained numerically, with the aid of three-dimensional transient heat transfer model implemented in the commercial software ANSYS Fluent. The paper presents the results of the sensitivity analysis as well as calibration and verification of the developed inverse algorithm through application of numerically-generated synthetic data. Strengths and weaknesses of the applied approach are widely discussed.