標題: Spontaneous emission near the band edge of a three-dimensional photonic crystal: a fractional calculus approach
作者: Cheng, Szu-Cheng
Wu, Jing-Nuo
Tsai, Ming-Rung
Hsieh, Wen-Feng
光電工程學系
Department of Photonics
公開日期: 7-Jan-2009
摘要: We suggest a better mathematical method, fractional calculus, for studying the behavior of the atom-field interaction in photonic crystals. By studying the spontaneous emission of an atom in a photonic crystal with a one-band isotropic model, we found that the long-time inducing memory of the spontaneous emission is a fractional phenomenon. This behavior could be well described by fractional calculus. The results show no steady photon-atom bound state for the atomic resonant transition frequency lying in the proximity of the allowed band edge which was encountered in a previous study (Woldeyohannes and John 2003 J. Opt. B: Quantum Semiclass. Opt.5 R43). The correctness of this result is validated by the 'cut-off smoothing' density of photon states (DOS) with fractional calculus. By obtaining a rigorous solution without the multiple-valued problem for the system, we show that the method of fractional calculus has a logically concise property.
URI: http://dx.doi.org/10.1088/0953-8984/21/1/015503
http://hdl.handle.net/11536/7753
ISSN: 0953-8984
DOI: 10.1088/0953-8984/21/1/015503
期刊: JOURNAL OF PHYSICS-CONDENSED MATTER
Volume: 21
Issue: 1
結束頁: 
Appears in Collections:Articles


Files in This Item:

  1. 000261517500024.pdf