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Waveguiding in a dielectric medium varying slowly in one transverse direction

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Abstract

We solve the problem of wave propagation in a medium whose dielectric constant varies quickly in one transverse direction and slowly in the other direction. This dielectric-constant profile is present in the waveguiding of double-heterostructure-junction lasers. The advantage of our solution is in its generality because we do not make other assumptions about the dielectric-constant function. From our solution we were able to correct the expression for the filling factor in TM modes that is seen in the literature.

© 1981 Optical Society of America

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