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Temperature distribution in a uniform medium heated by linear absorption of a Gaussian light beam
1994
Applied Optics
Preserved Fulltext
The linear-diffusion equation is considered for a positive half-space with heat sources represented by Gaussian functions in the transverse plane and by exponential decay along the longitudinal axis. The exact solution is presented as a single quadrature of the complementary error function (erfc). The approximate solution is suggested in the form of the product of two Gaussian functions and the hyperbolic secant function. Comparison with the exact solution shows that the error of this
doi:10.1364/ao.33.003831
pmid:20935723
fatcat:q7jiavribzgpzg4rtjkjcnp4na