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Asymptotic approximation of eigenvalues of vector equations

Published online by Cambridge University Press:  12 September 2005

S. J. CHAPMAN
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX3 8AL, UK email: [email protected]
J. D. SALAZAR
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK email: [email protected]

Abstract

A vectorial extension of the Keller–Rubinow method of computing asymptotic approximations of eigenvalues in bounded domains is presented. The method is applied to the problem of a multimode step-profile cylindrical optical fibre, including the effects of polarisation. A comparison of the asymptotic results with the exact eigenvalues is made when these are available, and the agreement is shown to be good.

Type
Papers
Copyright
2005 Cambridge University Press

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