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: 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.
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
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, J. Math. Phys., 26, 1858, 1985
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