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Optical waveguide dispersion characteristics from the scalar wave equation

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3 Author(s)
Haus, H. ; Massaschusetts Institute of Technology, Cambridge, MA, USA ; Huang, Wei-Ping ; Whitaker, N.

The electric and magnetic fields of an optical waveguide are well represented as derivatives of a linearly polarized vector potential. This vector potential obeys a scalar wave equation. Through the use of a variational principle one may obtain good approximations to the dispersion relation, however, without resolution of the birefringence. A simple perturbational approach yields the birefringence. Universal plots may be obtained in this way for TE and TM modes for rectangular channel waveguides with small index discontinuities.

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Lightwave Technology, Journal of  (Volume:5 ,  Issue: 12 )