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Photonic bands: Convergence problems with the plane-wave method
Abstract
The problems associated with the poor convergence of the Fourier transform of the hard-sphere dielectric function are discussed. A significant band gap between the eighth and ninth levels has been found for air spheres in fcc. We also consider a periodic array of Gaussian spheres, which converges well and allows a consistent and reliable determination of the general features of photonic bands. It is found that when \ensuremath{\epsilon}(r) is sharply peaked, photonic levels become almost degenerate throughout the Brillouin zone, corresponding to standing waves.
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Cited by
Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis
Johnson, S., & Joannopoulos, J. (2001) · Optics Express · doi:10.1364/oe.8.000173 · Cited by 3,217
Preparation of Photonic Crystals Made of Air Spheres in Titania
Wijnhoven, J. E. G. J., & Vos, W. L. (1998) · Science · doi:10.1126/science.281.5378.802 · Cited by 1,648
On-chip natural assembly of silicon photonic bandgap crystals
Vlasov, Y. A., Bo, X.-Z., Sturm, J. C., & Norris, D. J. (2001) · Nature · doi:10.1038/35104529 · Cited by 1,640
Theory of acoustic band structure of periodic elastic composites
Kushwaha, M. S., Halevi, P., Martínez, G., Dobrzynski, L., & Djafari-Rouhani, B. (1994) · Physical Review B · doi:10.1103/physrevb.49.2313 · Cited by 888
Photonic band gaps in three dimensions: New layer-by-layer periodic structures
Ho, K. M., Chan, C. T., Soukoulis, C. M., Biswas, R., & Sigalas, M. (1994) · Solid State Communications · doi:10.1016/0038-1098(94)90202-x · Cited by 758
Metadata
- Authors
- Sözüer, H. S., Haus, J. W., & Inguva, R.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1992-06-15
- Volume
- 45
- Issue
- 24
- Pages
- 13962-13972
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2072303629
- Cited by
- 457
- References
- 0
- FWCI
- 8.28
- Type
- journal article
- Language
- en
- Open access
- closed
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- Sözüer, H. S., Haus, J. W., & Inguva, R. (1992). Photonic bands: Convergence problems with the plane-wave method. Physical Review B. https://doi.org/10.1103/physrevb.45.13962
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