Abstract
A new class of layer-by-layer structures that have full three-dimensional photonic band gaps is described. Each layer has a particularly simple arrangement of one-dimensional rods. These new structures have gaps of appreciable width. The dependence of the gap on the dielectric contrast, filling ratio, cross sectional geometry of the rods, and the structure of the unit cell is systematically studied. The gap is relatively insensitive to the exact geometrical properties of the rods in each layer. Such layer-by-layer structures have already been fabricated over a wide range of microwave and millimeter wave frequencies. Other structures with three-dimensional photonic bandgaps are surveyed.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
For a recent review, see C.M. Soukoulis, ed., Photonic bandgaps and Localization (Plenum, New York, 1993).
Articles in Development and applications of materials exhibiting photonic band gaps, J. Opt. Soc. Am. B 10 (1993), a special feature edited by C.M. Bowden, J.P. Dowling, and H.O. Everitt.
K.M. Ho, C.T. Chan, and C.M. Soukoulis, Existence of a photonic band gap in periodic dielectric structures, Phys. Rev. Lett.. 65, 3152 (1990).
K.M. Leung and Y.F. Liu, Full vector wave calculation of photonic band structures in fcc dielectric media, Phys. Rev. Lett. 65, 2646 (1990).
Z. Zhang and S. Satpathy, Electromagnetic propagation in periodic structure: Bloch wave solution of Maxwell’s equation, Phys. Rev. Lett.. 65, 2650 (1990).
E. Yablonovitch, T.J. Gmitter and K.M. Leung, Photonic band structure: the face-centered-cubic case employing nonspherical atoms, Phys. Rev. Lett.. 67, 2295 (1991).
C.T. Chan, K.M. Ho and C.M. Soukoulis, Photonic band gaps in experimentally realizable periodic dielectric structures, Europhys. Lett. 16, 563 (1991).
K.M. Ho, C.T. Chan, C.M. Soukoulis, R. Biswas, and M. Sigalas, Photonic band gaps in three dimensions: New layer-by-layer periodic structures, Solid State Comm. 89, 413 (1994).
E. Ozbay, A. Abeyta, G. Tuttle, M. Tringides, R. Biswas, M. Sigalas, C.M. Soukoulis, C.T. Chan and K.M. Ho, Measurement of three-dimensional photonic band gap in new crystal structure made of dielectric rods, Phys. Rev. B 50, 1945 (1994).
E. Ozbay, G. Tuttle, R. Biswas, M. Sigalas, and K.M. Ho, Micromachined millimeter wave photonic band gap crystals, Appl. Phys. Lett.. 64, 2059 (1994).
E. Ozbay, E. Michel, G. Tuttle, R. Biswas, K.M. Ho, J. Bostak, and D.M. Bloom, Terahertz spectroscopy of three-dimensional photonic band gap crystals, Optics Lett., 19, 1155 (1994).
E. Ozbay, G. Tuttle, R. Biswas, K.M. Ho, J. Bostak, and D.M. Bloom, Double-etch geometry for millimeter-wave photonic band gap crystals, Appl. Phys. Lett.. 65, 1617 (1994).
P.L. Gourley, J.R. Wendt, G.A. Vawter, T.M. Brennan, and B.E. Hammons, Optical properties of two-dimensional photonic lattices fabricated as honeycomb nanostructures in compound semiconductors, Appl. Phys. Lett.. 64, 687 (1994).
R.D. Meade, K.D. Brommer, A.M. Rappe, and J.D. Joannopoulos, Existence of a photonic band gap in two dimensions, Appl. Phys. Lett.. 61, 495 (1992).
H.S. Sozuer, J.W. Haus, and R. Inguva, Photonic bands: Convergence problems with the plane wave method, Phys. Rev. B 45, 13962 (1992).
T. Suzuki and P. Yu, Emission power of an electric dipole in the photonic band structure of the fcc lattice, J. Opt. Soc. of Am. B 12, 571 (1995).
C.T. Chan, S. Datta, K.M. Ho and C.M. Soukoulis, The A-7 structure: A family of photonic crystals, Phys. Rev. B 49, 1988 (1994).
S. Fan, P. R. Villeneuve, R.D. Meade, and J. D. Joannopoulos, Design of 3D photonic crystals at submicron lengthscales, Appl. Phys. Lett.. 65, 1466 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Biswas, R., Chan, C.T., Sigalas, M., Soukoulis, C.M., Ho, K.M. (1996). Photonic Band Gap Materials. In: Soukoulis, C.M. (eds) Photonic Band Gap Materials. NATO ASI Series, vol 315. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1665-4_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-1665-4_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7245-8
Online ISBN: 978-94-009-1665-4
eBook Packages: Springer Book Archive