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Study on the Gain Material with Four Energy Level Model Using FDTD Method
Author(s) -
Hui Xue,
Zhixiang Huang,
Xianliang Wu
Publication year - 2013
Publication title -
optics and photonics journal
Language(s) - English
Resource type - Journals
eISSN - 2160-889X
pISSN - 2160-8881
DOI - 10.4236/opj.2013.32b004
Subject(s) - finite difference time domain method , lasing threshold , maxwell's equations , population , finite difference method , computational physics , polarization (electrochemistry) , electron , electromagnetic radiation , energy (signal processing) , population inversion , physics , computer science , mathematics , mathematical analysis , quantum mechanics , laser , chemistry , demography , sociology

A faster numerical method based on FDTD for the four energy level atomic system is present here. The initial conditions for the electrons of each level are achieving while the fields are in steady state. Polarization equation, rate equations of electronic population and Maxwell’s equations were used to describe the coupling between the atoms and electromagnetic wave. Numerical simulations, based on a finite-difference time-domain (FDTD) method, were utilized to obtain the population inversion and lasing threshold. The validity of the model and its theory is confirmed. The time, which we can observe the lasing phenomenon, is much shorter in our new model. Our model can be put into using in large scale simulations in mutiphysics to reduce the total simulated time.

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