Abstract

An approximate analytical approach for calculating the dispersion relations of two-dimensional photonic crystals, which was earlier developed for E-polarization, is extended for H-polarization (which is usually problematic for analytical treatment, because of field discontinuities). Useful analytical formulas, for calculating the dispersion relations and the magnetic fields, are developed. We show that the presented approach and the derived expressions provide a good approximation for a wide range of photonic crystal parameters. The results are also compared with accurate numerical calculations to check the validity of the approximations. This approach provides not only a fast way for photonic crystal calculations, but it also can be useful for the investigation of various physical effects as well as for the design and analysis of new photonic crystal devices.

© 2009 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Approximate analysis of two-dimensional photonic crystals with rectangular geometry. I. E polarization

Inna Nusinsky and Amos A. Hardy
J. Opt. Soc. Am. B 25(7) 1135-1143 (2008)

Analytical approach for complex-shaped two-dimensional photonic crystals

Inna Nusinsky and Amos A. Hardy
J. Opt. Soc. Am. B 27(12) 2731-2738 (2010)

Iterative perturbation scheme for morphology-dependent resonances in dielectric spheres

K. M. Lee, P. T. Leung, and K. M. Pang
J. Opt. Soc. Am. A 15(5) 1383-1393 (1998)

References

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
Login to access OSA Member Subscription

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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files 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
Login to access OSA Member Subscription

Equations (51)

You do not have subscription access to this journal. Equations 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
Login to access OSA Member Subscription

Metrics

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
Login to access OSA Member Subscription