Quantum-theoretical formalism for inhomogeneous graded-index waveguides.

*(English)* Zbl 1103.78301
Berlin: Akademie Verlag (ISBN 3-05-501598-3/hbk). 349 p. (1994).

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:

78A50 | Antennas, wave-guides |

81R05 | Representations of finite-dimensional groups and algebras in quantum theory |

81-02 | Research monographs (quantum theory) |

78-02 | Research monographs (optics, electromagnetic theory) |

78A60 | Lasers, masers, optical bistability, nonlinear optics |

81V80 | Applications of quantum theory to quantum optics |