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Zbl 1103.78301
Krivoshlykov, Sergej G.
Quantum-theoretical formalism for inhomogeneous graded-index waveguides.
(English)
[B] Berlin: Akademie Verlag. 349~p. (1994). ISBN 3-05-501598-3/hbk

Publisher's description: In this book algebraic methods are developed according to modern quantum theory and applied to the classical waveguide theory of active and passive graded-index waveguide structures with regular and/or random longitudinal inhomogeneities. An analogy is drawn between corresponding wave equations in classical aerodynamics or acoustics and Schrödinger's equation in quantum mechanics in order to arrive at an analytical solution to the problem. Graded-index waveguides take place in many physical systems of practical interest (in optoelectronics or fibre optics, heterostructure lasers, graded-index lenses, gas lenses, laser propagation through atmosphere, underwater acoustic channels in oceans, radio waveguides in the ionosphere, acoustic channels in the earth). Full attention is paid to excitation of modes, beam propagation effects, mode coupling phenomena and control of the beam properties.
MSC 2000:
*78A50 Antennas, wave-guides
81R05 Repres. of finite-dim. groups and algebras from quantum theory
81-02 Research monographs (quantum theory)
78-02 Research monographs (optics, electromagnetic theory)
78A60 Lasers, etc.
81V80 Appl. of quantum theory to quantum optics
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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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