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Asymptotic approximation of eigenvalues of vector equations

Published online by Cambridge University Press:  12 September 2005

S. J. CHAPMAN  and
J. D. SALAZAR
S. J. CHAPMAN
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX3 8AL, UK email: chapman@maths.ox.ac.uk
J. D. SALAZAR
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK email: salazar@maths.warwick.ac.uk
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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
Information
European Journal of Applied Mathematics , Volume 16 , Issue 4 , August 2005 , pp. 447 - 466
Copyright
2005 Cambridge University Press

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