Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target

V. Aksenov, Yu Isaev, E. Zakharova, V. Reino, R. Tsvik

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

When studying the regularities of variations of laser beam parameters, a problem arises to measure the intensity J(ρ, t) in the beam cross section. One of the possible methods of intensity measurement is its reconstruction from the temperature field T(ρ, t) on the target surface. The theory of solving of the inverse heat transfer problem and results of numerical experiment for uniform target irradiated by nonuniform laser beam was reported. In the case of a thin thermally insulated target the following relationship was obtained. (1 - R)I(ρ, t) = k L/a2[∂/∂t T(ρ, t) - a2 Δ T(ρ, t)]. where R is the reflection coefficient; a2 and k are the thermal diffusivity and conductivity, respectively; L is the target thickness; Δ = ∂/∂x2 + ∂/∂y2 is the transverse Laplacian operator. Deriving algorithms for this equation, the authors use the difference procedure. For decreasing of the effect of random errors filtration of initial data is performed. A simple and effective filter that ensures satisfactory accuracy is the convolution of initial data with a stabilizing function sinc(x) = sin(αmax x)/π x, αmax ≈ 2 cm-1.

Original languageEnglish
Title of host publicationConference on Lasers and Electro-Optics Europe - Technical Digest
Editors Anon
Pages249
Number of pages1
Publication statusPublished - 1996
Externally publishedYes
EventProceedings of the 1996 Conference on Lasers and Electro-Optics Europe, CLEO/Europe - Hamburg, Ger
Duration: 8 Sep 199613 Sep 1996

Conference

ConferenceProceedings of the 1996 Conference on Lasers and Electro-Optics Europe, CLEO/Europe
CityHamburg, Ger
Period8.9.9613.9.96

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Aksenov, V., Isaev, Y., Zakharova, E., Reino, V., & Tsvik, R. (1996). Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target. In Anon (Ed.), Conference on Lasers and Electro-Optics Europe - Technical Digest (pp. 249)