Mathematics
Scientific paper
Apr 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986qapma..44...13l&link_type=abstract
Quarterly of Applied Mathematics (ISSN 0033-569X), vol. 44, April 1986, p. 13-18.
Mathematics
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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