Immittance matching for multidimensional open-system photonic crystals

作者: Jun Ushida , Masatoshi Tokushima , Masayuki Shirane , Akiko Gomyo , Hirohito Yamada

DOI: 10.1103/PHYSREVB.68.155115

关键词:

摘要: An electromagnetic (EM) Bloch wave propagating in a photonic crystal (PC) is characterized by the immittance (impedance and admittance) of wave. The used to investigate transmission reflection at surface or an interface PC. In particular, general properties are useful for clarifying propagation characteristics. We give proof that EM waves on plane infinite one- two-dimensional (2D) PCs real when PC vector perpendicular plane. also show pure-real feature three-dimensional good approximation based numerical calculations. analytical indicates method matching extremely simplified since only part function needed analysis without verification. As application proof, we describe qualitatively evaluating semi-infinite 2D PC, between slab waveguide (WG) line-defect WG, channel WG WG.

参考文章(33)
Joshua N. Winn, Robert D. Meade, Steven G. Johnson, John D. Joannopoulos, Photonic Crystals: Molding the Flow of Light ,(1995)
Steven G. Johnson, John D. Joannopoulos, Photonic Crystals: The Road from Theory to Practice ,(2001)
Susumu Noda, Alongkarn Chutinan, Masahiro Imada, Trapping and emission of photons by a single defect in a photonic bandgap structure Nature. ,vol. 407, pp. 608- 610 ,(2000) , 10.1038/35036532
Steven G. Johnson, Shanhui Fan, Pierre R. Villeneuve, J. D. Joannopoulos, L. A. Kolodziejski, Guided modes in photonic crystal slabs Physical Review B. ,vol. 60, pp. 5751- 5758 ,(1999) , 10.1103/PHYSREVB.60.5751
Hirohito Yamada, Masatoshi Tokushima, Masayuki Shirane, Micro-lightwave circuits based on photonic crystal ITCom 2002: The Convergence of Information Technologies and Communications. ,vol. 4870, pp. 357- 367 ,(2002) , 10.1117/12.475548
Alongkarn Chutinan, Susumu Noda, Waveguides and waveguide bends in two-dimensional photonic crystal slabs Physical Review B. ,vol. 62, pp. 4488- 4492 ,(2000) , 10.1103/PHYSREVB.62.4488
W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Measurement of photonic band structure in a two-dimensional periodic dielectric array. Physical Review Letters. ,vol. 68, pp. 2023- 2026 ,(1992) , 10.1103/PHYSREVLETT.68.2023
Ali Adibi, Yong Xu, Reginald K. Lee, Amnon Yariv, Axel Scherer, Guiding Mechanisms in Dielectric-Core Photonic-Crystal Optical Waveguides Physical Review B. ,vol. 64, pp. 033308- ,(2001) , 10.1103/PHYSREVB.64.033308
Hideo Kosaka, Takayuki Kawashima, Akihisa Tomita, Masaya Notomi, Toshiaki Tamamura, Takashi Sato, Shojiro Kawakami, Photonic crystals for micro lightwave circuits using wavelength-dependent angular beam steering Applied Physics Letters. ,vol. 74, pp. 1370- 1372 ,(1999) , 10.1063/1.123553