Abstract
An improved finite-difference frequency-domain method based on Taylor
series expansion, local coordinate transformation, and boundary condition
matching is developed for analyzing the band diagrams of 2-D photonic crystals.
This newly proposed scheme can deal with piecewise homogeneous structures
with curved dielectric interfaces. It also shows much better performance in
modeling structures of highly index contrast ratio. We have verified this
improved scheme with frequently-used plane-wave expansion method through the
calculation of the band diagrams of a 2-D photonic crystal with square lattice.
We also compare the scheme with the staircase approximation. We further improve
the convergence behavior by adopting high-order terms. The result of this
adopting is also demonstrated.
© 2008 IEEE
PDF Article
More Like This
Cited By
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica Member Subscription