Photonic Band Gaps: Noncommuting Limits and the “Acoustic Band”
- 21 August 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (8) , 1507-1510
- https://doi.org/10.1103/physrevlett.75.1507
Abstract
We study the photonic “acoustic band” for both square arrays of dielectric and infinite refractive index cylinders. We show that the effective refractive index defined by this band does not have a continuous limit as the cylinder refractive index approaches infinity, and we explain this physically.Keywords
This publication has 20 references indexed in Scilit:
- Photonic bandgaps in periodic dielectric structuresProgress in Quantum Electronics, 1994
- Photonic Bandgaps: What is the Best Numerical Representation of Periodic Structures?Journal of Modern Optics, 1994
- Calculation of photon dispersion relationsPhysical Review Letters, 1992
- Photonic bands: Convergence problems with the plane-wave methodPhysical Review B, 1992
- Photonic band structure: The face-centered-cubic case employing nonspherical atomsPhysical Review Letters, 1991
- Existence of a photonic gap in periodic dielectric structuresPhysical Review Letters, 1990
- Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell’s equationsPhysical Review Letters, 1990
- Full vector wave calculation of photonic band structures in face-centered-cubic dielectric mediaPhysical Review Letters, 1990
- Strong localization of photons in certain disordered dielectric superlatticesPhysical Review Letters, 1987
- LVI. On the influence of obstacles arranged in rectangular order upon the properties of a mediumJournal of Computers in Education, 1892