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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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


Author: I. Lerche
Journal: Quart. Appl. Math. 44 (1986), 13-18
MSC: Primary 85A30; Secondary 78A60, 81K05
DOI: https://doi.org/10.1090/qam/840439
MathSciNet review: 840439
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Abstract | References | Similar Articles | Additional Information

Abstract: 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.


References [Enhancements On Off] (What's this?)

    D. T. Cassidy, Appl. Phys. Lett. 44, 489, 1984 P. C. Clemmow and J. A. Dougherty, Plasma Electrodynamics, McGraw-Hill Book Co., Reading, Mass., 1969 A. Cook, Celestial masers, Cambridge University Press, Cambridge, 1979 P. Goldreich and S. Keeley, Astrophys. J. 174, 517, 1972 K. Y. Lau and A. Yariv, Appl. Phys. Lett. 40, 763, 1982
  • I. Lerche, On the general solution to equations modeling a homogeneously broadened injection laser, J. Math. Phys. 26 (1985), no. 7, 1858–1859. MR 793333, DOI https://doi.org/10.1063/1.526902
  • D. Marcuse, J. Quantum Electron QE-19, 63, 1983 D. C. Montgomery and D. A. Tidman, Plasma kinetic theory, McGraw-Hill Book Co., Reading, Mass., 1968

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Article copyright: © Copyright 1986 American Mathematical Society