Title :
Unfolding the multivalued planar waveguide dispersion relation
Author :
Smith, R.E. ; Forbes, G.W. ; Houde-Walter, S.N.
Author_Institution :
Inst. of Opt., Rochester Univ., NY, USA
fDate :
4/1/1993 12:00:00 AM
Abstract :
Conventional 2×2 matrix techniques give an implicit dispersion relation for planar waveguides that involves multivalued functions. This multivalued form can cause complications and confusion. It is shown that it is possible to derive a single-valued form that avoids all such difficulties. The resulting formulation allows the unique identification of all the proper and improper modes of a structure and simplifies their numerical determination
Keywords :
dispersion (wave); waveguide theory; improper modes; matrix techniques; multivalued planar waveguide dispersion relation; proper modes; single-valued form; Dispersion; Equations; Nonhomogeneous media; Optical refraction; Optical waveguides; Planar waveguides; Polarization; Propagation constant; Tellurium; Transmission line matrix methods;
Journal_Title :
Quantum Electronics, IEEE Journal of
