Analytical model of transient temperature and thermal stress in continuous wave double-end-pumped laser rod: Thermal stress minimization study

The exact analytical solution of axis-symmetry transient temperature and Tresca failure stress in pulsed mode solid-state laser rod is derived using integral transform method. The result obtained from this work is compared with previously published data and good agreement is found. The effect of increasing period is studied, and it is found that at constant pulse width as the period is increased, the allowable pumping power is increased too. Furthermore, the effect of changing pulse width with a constant period is studied, and it is found that as the pulse width is increased, the allowable pumping power is decreased. The effect of duty cycle is studied also and it is found that as duty cycle is increased the allowable pumping power is decreased. This work permits proper selection of pulse width, period and duty cycle to avoid laser rod fracture while obtaining maximum output laser power in the designing of laser system.

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“…Assuming z = 0 then Tresca failure could be written [9,16]: Incorporating the equation of θ and carrying the integration result in:…”

Section: Tresca Failure Stress Equationmentioning

confidence: 99%

Transient analytical solution of temperature distribution and fracture limits in pulsed solid-state laser rod

et al. 2017

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“…Here -3 ] -the heat source density, and T [K] -the temperature. This equation can be solved by the successive application of integral transform to the x, y, and z variables, The part of absorbed power that converts to heat act as a heat source and it can has different profile [5,6,11].…”

Section: Theorymentioning

confidence: 99%

“…3, pp. 1223-1230 ing [5][6][7]. Few literature dealt with analytical solution of transient temperature in laser slab.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of transient temperature in continuous wave end-pumped laser slab: Reduction of temperature distribution and time of thermal response

2017

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An analytical solution of transient 3-D heat equation based on integral transform method is derived. The result are compared with numerical solution, and good agreements are obtained. Minimization of response time and temperature distribution through a laser slab are tested. It is found that the increasing in the lateral convection heat transfer coefficient can significantly reduce the response time and the temperature distribution while no effect on response time is observed when changing pumping profile from Gaussian to top hat beam in spite of the latter reduce the temperature distribution, also it is found that dividing the pumping power between two slab ends might reduce the temperature distribution and it has no effect on thermal response time.

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“…Several previous works studied the thermal model and thermal effects of solid-state lasers in different geometries [2][3][4][5][6][7][8][9][10][11]. Full temperature distribution analytical evaluations in end-pumped solid-state lasers under all profiles types were presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

Effects of pumping profiles on the temperature distributions in doubleend pumped solid-state lasers: A comparison study

Jawad¹,

AbdulRazzaq²,

Shibib³

2022

ETJ

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 Understanding the thermal behavior of dual end-pumped solid-state lasers.  The exponent of the beam profile has a significant effect on the temperature distributions.  Monitoring the thermal behavior keeps the performance of the lasers before being subject to damage.  A theoretical basis for laser cavity design of dual-end-pumped cylindrical laser rods was provided.In this work, the effects of pumping profiles on the temperature distributions in solid-state lasers pumped by laser diode from two different end faces were studied. With different pump spot radii of , various exponent factors were examined to evaluate the behavior of temperature distributions due to Gaussian and super-Gaussian profiles. For a Gaussian pumping (n=2), the maximum temperature difference on each rod face was calculated to be 295.5 K and 226 K, respectively, at a total pump power of 92.8 W (46.4 W per face). While at the same pumping power, the temperature decreased as the n exponent increased. A good match was obtained between the proposed model and the previous works listed in the literature.

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Analytical model of transient temperature and thermal stress in continuous wave double-end-pumped laser rod: Thermal stress minimization study

Cited by 13 publications

References 13 publications

Transient analytical solution of temperature distribution and fracture limits in pulsed solid-state laser rod

Transient analytical solution of temperature distribution and fracture limits in pulsed solid-state laser rod

Analytical solution of transient temperature in continuous wave end-pumped laser slab: Reduction of temperature distribution and time of thermal response

Effects of pumping profiles on the temperature distributions in doubleend pumped solid-state lasers: A comparison study

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