One-dimensional equations and their solutions modelling a homogeneously broadened, frequency continuum, injection maser

Mathematics

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Astronomical Models, Continuous Spectra, Injection Lasers, Masers, Nonlinear Equations, Differential Equations, Laser Modes, Time Dependence

Scientific paper

The strongly coupled, nonlinear, differential equations describing the amplification of intensity for propagation of a broad-band signal through a homogeneously broadened amplifier are reduced to a simple linear integral equation which is solved by conventional Laplace transform techniques. The frequency-dependent intensity is shown to be generally expressible in terms of simple quadratures taken over the solution to the linear integral equation.

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