Simulations of 2D Maxwell-Bloch equations

Author

Xiong, Jingyi ; Colice, Max ; Schlottau, Friso ; Wagner, Kelvin ; Fornberg, B.

Author_Institution

Univ. of Colorado, Boulder

fYear

2007

Firstpage

5

Lastpage

6

Abstract

Rare-earth-doped crystals can be modelled as inhomogeneously broadened two-level atoms. Beam propagation in the crystals can be described by the Maxwell-Bloch equations. We numerically solve Maxwell´s equations by using the FFT-finite difference beam propagation method and the Bloch equations by using the finite difference method. Numerical simulation results are given for an off-axis 3-pulse photon echo.

Keywords

Maxwell equations; atom-photon collisions; fast Fourier transforms; finite difference methods; light propagation; microwave materials; optical materials; photon echo; quantum optics; quantum theory; thulium; yttrium compounds; 2D Maxwell-Bloch equations; 3-pulse photon echo; FFT; Maxwell´s equations; YAG:Tm; YAG:Tm³⁺ - System; beam propagation; finite difference beam propagation method; finite difference method; numerical simulation; rare-earth-doped crystals; two-level atoms; Atomic measurements; Difference equations; Finite difference methods; Frequency; Holographic optical components; Maxwell equations; Optical propagation; Optical signal processing; Photonic crystals; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Numerical Simulation of Optoelectronic Devices, 2007. NUSOD '07. International Conference on

Conference_Location

Newark, DE

Print_ISBN

978-1-4244-1431-4

Type

conf

DOI

10.1109/NUSOD.2007.4348996

Filename

4348996