Semi-analytical solution for the temperature profiles in solid-state laser disks mounted on heat spreaders

Area of Science:

• Laser physics
• Thermal management
• Computational modeling

Background:

• Numerical methods like finite-element analysis are standard for calculating temperature profiles in solid-state laser disks.
• Existing analytical solutions are limited to specific conditions (infinitely thick or zero-thickness heat spreaders).

Purpose of the Study:

• To develop a simplified, semi-analytical method for calculating 3D temperature profiles in laser disks and heat spreaders.
• To enable straightforward optimization of cooling for various disk and heat spreader dimensions.

Main Methods:

• Solving the heat conduction equation using Hankel transforms.
• A semi-analytical approach applicable to arbitrary disk and heat spreader geometries.

Main Results:

• A generalized method for determining 3D temperature distributions in laser disks.
• The method accounts for all disk and heat spreader dimensions.

Conclusions:

• The presented semi-analytical method offers a more versatile and efficient approach to thermal analysis of disk lasers.
• This technique facilitates the optimization of cooling systems for solid-state and semiconductor disk lasers.