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Thermal deformation of the active medium in a solid-state laser with natural cooling

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Abstract

An analytical expression is derived for the transient thermal deformation of the active medium in a periodic duty laser with natural cooling.

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Abbreviations

W:

thermooptical constant of the active medium

n:

refractive index of the active medium

k:

thermal expansivity of the active medium

λ:

thermal conductivity of the active medium

a :

thermal diffusivity of the active medium

L:

length of the active medium

2R:

diameter of the active medium

H:

distance from axis of the pump lamp to the axis of the active medium

ϑi=ti − ta :

excess temperature

ti :

temperature of the i-th element

ta :

ambient temperature

Pi :

power of heat generation within the i-th element

Ci :

total thermal capacity of the i-th element

Pij :

thermal flux from body i to body j (i, j=1, 2, 3)

σij :

thermal conductance between body i and body j (i, j=1, 2, 3)

αij :

heat-transfer coefficient from body i to body j (i, j=1, 2, 3)

P:

average pump power

τ:

time

1:

pump lamp

2:

active medium

3:

luminaire envelope

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Authors and Affiliations

  1. Leningrad Institute of Precision Mechanics and Optics, USSR

    G. N. Dul'nev & S. I. Khankov

Authors
  1. G. N. Dul'nev
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  2. S. I. Khankov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 42, No. 1, pp. 85–91, January, 1982.

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Dul'nev, G.N., Khankov, S.I. Thermal deformation of the active medium in a solid-state laser with natural cooling. Journal of Engineering Physics 42, 70–75 (1982). https://doi.org/10.1007/BF00824995

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  • DOI: https://doi.org/10.1007/BF00824995

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