Acta Physica Sinica
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ISSN 1000-3290
CN 11-1958/O4
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Acta Physica Sinica  
  Acta Physica Sinica--1962, 18 (7)   Published: 15 July 1962
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CONTENT

GENERALIZED THEORY OF COUPLED LOCAL NORMAL MODES IN MULTI-WAVE GUIDES

HUANG HUNG-CHIA
Acta Physica Sinica. 1962, 18 (7): 0325 doi: 10.7498/aps.18.325
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In this paper a generalized theory of coupled local normal modes is developed, which is based on the mathematical method-"method of slowly varying coefficients", introduced by the author in a previous paper. By this method, the set of ordinary coupled wave equations is transformed into a new set of equations for the local normal modes with much reduced couplings. To illustrate the applicability of the method, the all-important problem of bend with slowly varying curvature is solved by considering two and three coupled modes succesively. For the two coupled-modes case, our results agree with those by Louisell and Unger. Solution for the three coupled-modes problem has not been appeared in literatures heretofore. A numerical evaluation of the spurious modes in an S-shaped bend is given. Further applications are discussed.

СИЛЬНОЕ ВЗАИМОДЕЙСТВИЕ СТРАННЫХ ЧАСТИЦ

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Acta Physica Sinica. 1962, 18 (7): 0334 doi: 10.7498/aps.18.334
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