A multilayer heat conduction solution for magneto-optical disk recording

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Abstract
The Green’s function temperature expressions formulated by McGahan and Cole [J. Appl. Phys. 72, 1362 (1992)] are modified into a form suitable for solving the heat conduction problem encountered in magneto-optical (MO) disk recording situations. The temperature distribution within MO multilayer media heated by a pulsed scanning Gaussian laser beam is calculated by using Fourier-transformed Green’s functions. The linear heat conduction equation is solved exactly not in real space but in frequency space. The temperature in real space is efficiently recovered by the inverse fast Fourier transform; numerical integrations are unnecessary. Optical absorption in MO media is calculated exactly. Realistic and piecewise-linear models of the laser pulse’s time dependence are incorporated directly into the formalism. Elliptically shaped laser-beam cross sections are also easily included. At the same time, the extended method still preserves the conceptual simplicity and computational efficiency of the original theory. This paper describes the extended method, discusses some numerical issues arising from the modifications, and presents comparisons with previously published finite-difference calculations.