Adomian's decomposition method for electromagnetically induced transparency

Yee-Mou Kao, T. F. Jiang, Ite A. Yu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We developed the Adomian's decomposition method to work for the electromagnetically induced transparency (EIT) problem. The method is general and capable to solve the coupled nonlinear partial differential equations for a light pulse passing through a three-level Λ-type coherent medium. This EIT system is described by the coupled Maxwell-Schrödinger equations and optical Bloch equations. In the weak probe field case, the results agree with perturbation solutions and experimental data. In the stronger probe field case while perturbation may fail, our results reproduce experimental data well. With the techniques of spatial and time partitions, we extend the decomposition method that will be versatile for the investigation of the light pulse propagating through a coherent atomic medium.

Original languageEnglish
Article number066703
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number6
DOIs
Publication statusPublished - 2005 Dec 1

Fingerprint

Electromagnetically Induced Transparency
Adomian Decomposition Method
Probe
Experimental Data
decomposition
Perturbation Solution
perturbation
probes
Decomposition Method
pulses
Maxwell's equations
Nonlinear Partial Differential Equations
Maxwell equation
partial differential equations
partitions
Partition
Perturbation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Adomian's decomposition method for electromagnetically induced transparency. / Kao, Yee-Mou; Jiang, T. F.; Yu, Ite A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 72, No. 6, 066703, 01.12.2005.

Research output: Contribution to journalArticle

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