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Asymptotic approximation of eigenvalues of vector equations

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.

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Publication date:
2005-08-01
UUID:
uuid:6fd22a66-36f6-4ab7-b208-457dc9c2fc29
Local pid:
oai:eprints.maths.ox.ac.uk:293
Deposit date:
2011-05-19

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