Calculation of spontaneous emission from a V-type three-level atom in photonic crystals using fractional calculus

CCUR > College of Natural Science and Engineering > College of Science > Department of Physics > journal articles > Item 987654321/24010

Please use this identifier to cite or link to this item: https://irlib.pccu.edu.tw/handle/987654321/24010

Title:	Calculation of spontaneous emission from a V-type three-level atom in photonic crystals using fractional calculus
Authors:	Huang, CH (Huang, Chih-Hsien)1,2,3 Wu, JN (Wu, Jing-Nuo) Li, YY (Li, Yen-Yin) Cheng, SC (Cheng, Szu-Cheng) Hsieh, WF (Hsieh, Wen-Feng)
Contributors:	Dept Phys
Keywords:	BAND-GAP EDGE
Date:	2011-07
Issue Date:	2013-01-16 14:22:00 (UTC+8)
Abstract:	Fractional time derivative, an abstract mathematical operator of fractional calculus, is used to describe the real optical system of a V-type three-level atom embedded in a photonic crystal. A fractional kinetic equation governing the dynamics of the spontaneous emission from this optical system is obtained as a fractional Langevin equation. Solving this fractional kinetic equation by fractional calculus leads to the analytical solutions expressed in terms of fractional exponential functions. The accuracy of the obtained solutions is verified through reducing the system into the special cases whose results are consistent with the experimental observation. With accurate physical results and avoiding the complex integration for solving this optical system, we propose fractional calculus with fractional time derivative as a better mathematical method to study spontaneous emission dynamics from the optical system with non-Markovian dynamics.
Relation:	PHYSICAL REVIEW A Volume: 84 Issue: 1 Article Number: 013802
Appears in Collections:	[Department of Physics ] journal articles

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	652	View/Open

View Licence