Title :
A variational coupled-mode theory for periodic waveguides
Author :
Little, B.E. ; Haus, H.A.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
fDate :
12/1/1995 12:00:00 AM
Abstract :
A simple variational theorem for the dispersion relations and propagation constants of periodic waveguides is derived. The trial fields used in the variational formula incorporate all the Floquet components correct to first order. This yields a propagation constant in which errors enter only to fourth order in the trial field. The analysis yields a new coupled mode formulation which is shown to yield excellent agreement with exact analytic solutions (in l-D), and numerical simulations (in 2-D), for high-index contrast structures
Keywords :
dispersion relations; optical constants; optical couplers; optical waveguide theory; optical waveguides; refractive index; variational techniques; Floquet components; coupled mode formulation; dispersion relations; exact analytic solutions; first order; fourth order; high-index contrast structures; numerical simulations; periodic waveguides; propagation constant; propagation constants; simple variational theorem; trial field; trial fields; variational coupled-mode theory; variational formula; Coupled mode analysis; Couplers; Distributed feedback devices; Error correction; Frequency; Gratings; Mathematics; Maxwell equations; Partial differential equations; Periodic structures; Permittivity; Propagation constant; Waveguide theory;
Journal_Title :
Quantum Electronics, IEEE Journal of
