We present a numerical scheme for the analysis of periodic dielectric waveguides using Floquet–Bloch theory. The problem of finding the fundamental propagation modes is reduced to a nonlinear eigenvalue problem involving Dirichlet-to-Neumann maps. This approach leads to much smaller matrix problems than the ones that have appeared previously. By an increase of the discretization fineness, any desired precision of the method can be achieved. We discuss an eigensolver and extend the conventional rule to choose the branches of the transverse wave numbers. This ensures analytic dependence on the Floquet multiplier and convergence of the nonlinear solver. We demonstrate that even for a complicated multilayer waveguide structure the propagation factors can be calculated within seconds to several digits of accuracy.

© 2002 Optical Society of America

[Optical Society of America ]

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Wavelength-interrogated optical sensor for biochemical applications (OL)
• Split-step time-domain analysis of optical waveguide devices composed of a directional coupler and gratings (OL)
• Surface-plasmon-assisted resonant tunneling of light through a periodically corrugated thin metal film (OL)
• Simple grating synthesis algorithm (OL)
• Obliquely incident wave coupling on finite-aperture waveguide gratings (JOSAA)

Related Conference Papers

• New iterative approach for designing Bragg gratings
• A Finite Difference Mode Solver Based on Domain Decomposition
• A Fourth Order Eigenmode Expansion Method for 2-D Wave-Guiding Structures
• A Vector Finite Element modeling of Bragg Grating Waveguides using a Transfer Matrix Method
• Application of a Modified Finite-Difference Formula Based on Yee's Mesh to Optical Waveguide Analyses