Abstract
It is now widely recognised that a volume of dielectric material with an appropriately designed periodic microstructure — a photonic crystal — will support a full three-dimensional photonic band gap (PBG) [1]. Over the frequency range spanned by the PBG, all electromagnetic modes are suppressed within the volume, allowing a single resonance (or photonic state) to be introduced by means of a structural point defect [2]. This unique ability to tamper strongly with the electromagnetic mode density enables the channelling of spontaneous emission into one or a few electromagnetic modes, and is attractive for enhancing the emission rate from light emitting diodes, and in achieving low threshold highly efficient operation in micro-cavity lasers [3].
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
E. Yablonovitch, “Photonic band gap structures,” J. Opt. Soc. Am. B 10 (283–295) 1993
E. Yablonovitch, T.J. Gmitter, R.D. Meade, A.M. Rappe, K.D. Brommer and J.D. Joannopolous, “Donor and acceptor modes in photonic band structure,” Phys. Rev. Lett. 67 (3380–3383) 1991
See section entitled “Confined Photons” in Confined Electrons and Photons: New Physics and Applications Eds: E. Burstein and C. Weisbuch, (Plenum Press 1995), pp 383–646
P. R. Villeneuve and M. Piché, “Photonic band gaps in two-dimensional square and hexagonal lattices,” Phys. Rev. B 46(4649–4972) 1992
T. Krauss, Y.P. Song, S. Thomas, C.D.W. Wilkinson and R.M. DeLaRue, “Fabrication of 2-D photonic band gap structures in GaAs/AlGaAs,” Electron. Lett. 30 (1444–1446) 1994
K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi and J.W. Haus, “Fabrication of a two-dimensional photonic band structure with near-infrared band gap,” Jpn.J.Appl.Phys. 33(L1463–L1465) 1994
A.A. Maradudin and A.R. McGurn, “Photonic band structure of a truncated, two- dimensional, periodic dielectric medium,” J. Opt. Soc. Am. 10(307–313) 1993
See, e.g., Y. Yamamoto and R.E. Slusher, “Optical processes in microcavities,” Physics Today 46 (66–73) 1993
See, e.g., A. Yariv, Optical Electronics, 4th edition (Harcourt Brace College Publishers, Fort Worth, 1991)
H. Kogelnik, “Theory of Optical Waveguides,” in Guided-Wave Optoelectronics, Ed: T. Tamir (Springer-Verlag Berlin Heidelberg 1988 & 1990)
D.M. Atkin, P.St.J. Russell, T.A. Birks & P.J. Roberts, “Photonic band structure of guided Bloch modes in high index films fully etched through with periodic microstructure,” to be published in J. Mod. Opt., 1996
P.St.J. Russell, T.A. Birks and F.D. Lloyd-Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons: New Physics and Applications, Eds: E. Burstein and C. Weisbuch, (Plenum Press 1995), pp 585–633
P. Yeh, A. Yariv and C. S. Hong, “Electromagnetic propagation in periodic stratified media: I & II,” J. Opt. Soc. Am. 67 (423–448) 1977
J.B. Pendry, “Photonic band structures,” J.Mod.Opt. 41 (209–229) 1994
T.A. Birks, P.J. Roberts, P.St.J. Russell, D.M. Atkin and T.J. Shepherd, “Full 2-D photonic band gaps in silica/air structures,” Electron. Lett. 31 (1941–1942) 1996
P.J. Roberts, T.A. Birks, P.St.J. Russell, T.J. Shepherd and D.M. Atkin, “Two- dimensional photonic band-gap structures as quasi-metals,” to be published in Opt. Lett., 1996
P.St.J. Russell and T.A. Birks, “Bloch wave optics in photonic crystals: Physics and applications,” in Photonic Band Gap Materials, Editor C.M. Soukoulis, (Kluwer Academic, to be published 1996)
U. Grüning, V. Lehmann and C.M. Engelhardt, “Two-dimensional infrared photonic band gap structure based on porous silicon,” Appl. Phys. Lett. 66 (3254–3256) 1995
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
Russell, P.S.J., Atkin, D.M., Birks, T.A., Roberts, P.J. (1996). Bound Modes of Two-Dimensional Photonic Crystal Waveguides. In: Rarity, J., Weisbuch, C. (eds) Microcavities and Photonic Bandgaps: Physics and Applications. NATO ASI Series, vol 324. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0313-5_18
Download citation
DOI: https://doi.org/10.1007/978-94-009-0313-5_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6626-6
Online ISBN: 978-94-009-0313-5
eBook Packages: Springer Book Archive