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

Результат исследований: Материалы для книги/типы отчетовМатериалы для конференции

Выдержка

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.

Язык оригиналаАнглийский
Название основной публикацииConference on Lasers and Electro-Optics Europe - Technical Digest
Редакторы Anon
Страницы249
Число страниц1
СостояниеОпубликовано - 1996
Опубликовано для внешнего пользованияДа
СобытиеProceedings of the 1996 Conference on Lasers and Electro-Optics Europe, CLEO/Europe - Hamburg, Ger
Продолжительность: 8 сен 199613 сен 1996

Конференция

КонференцияProceedings of the 1996 Conference on Lasers and Electro-Optics Europe, CLEO/Europe
ГородHamburg, Ger
Период8.9.9613.9.96

Отпечаток

Laser beams
Random errors
Thermal diffusivity
Convolution
Mathematical operators
Thermal conductivity
Temperature distribution
Heat transfer
Temperature
Experiments

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Цитировать

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. В Anon (Ред.), Conference on Lasers and Electro-Optics Europe - Technical Digest (стр. 249)

Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target. / Aksenov, V.; Isaev, Yu; Zakharova, E.; Reino, V.; Tsvik, R.

Conference on Lasers and Electro-Optics Europe - Technical Digest. ред. / Anon. 1996. стр. 249.

Результат исследований: Материалы для книги/типы отчетовМатериалы для конференции

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. в Anon (ред.), Conference on Lasers and Electro-Optics Europe - Technical Digest. стр. 249, Proceedings of the 1996 Conference on Lasers and Electro-Optics Europe, CLEO/Europe, Hamburg, Ger, 8.9.96.
Aksenov V, Isaev Y, Zakharova E, Reino V, Tsvik R. Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target. В Anon, редактор, Conference on Lasers and Electro-Optics Europe - Technical Digest. 1996. стр. 249
Aksenov, V. ; Isaev, Yu ; Zakharova, E. ; Reino, V. ; Tsvik, R. / Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target. Conference on Lasers and Electro-Optics Europe - Technical Digest. редактор / Anon. 1996. стр. 249
@inproceedings{2f69e2a48c2a41388c5e8deb9575162d,
title = "Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target",
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.",
author = "V. Aksenov and Yu Isaev and E. Zakharova and V. Reino and R. Tsvik",
year = "1996",
language = "English",
pages = "249",
editor = "Anon",
booktitle = "Conference on Lasers and Electro-Optics Europe - Technical Digest",

}

TY - GEN

T1 - Retrieving of laser beam intensity distribution from the temperature along surface of heated thin target

AU - Aksenov, V.

AU - Isaev, Yu

AU - Zakharova, E.

AU - Reino, V.

AU - Tsvik, R.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0029747739&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029747739&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029747739

SP - 249

BT - Conference on Lasers and Electro-Optics Europe - Technical Digest

A2 - Anon, null

ER -