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By Jieran Fang1, Ludmila Prokopeva1, Jan Trieschmann2, Nikita Arnold3, Alexander V. Kildishev1

1. Purdue University 2. Ruhr University Bochum 3. Johannes Kepler University, Linz

Time-domain numerical simulation of the local response of a generic four-level gain system to its excitation with a pump-probe pulse sequence.

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Version 1.2 - published on 24 Apr 2013

doi:10.4231/D3PK07200 cite this

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A four-level system is a typical model describing the process of lasing. It is widely used to model gain media. PhotonicsGAIN-0D simulates the local response (0-dimenstion) of a generic 4-level system interacting with one or two sequential incident light pulses. The code uses the local electric field, to compute the population kinetics at each energy level, and monitors the polarization evolution in time domain. Then, the effective susceptibility is calculated in frequency domain through the Fast Fourier transform (FFT).

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The GUI of PhotonicsGAIN-0D is developed using the Matlab GUIDE library. The FDTD solver is written as Matlab scripts. The GUI and the solver are then compiled.


  • J. Fang ... Developed the GUI, integrated the FDTD engine, and tested the tool
  • L. J. Prokopeva ... Validated the theory, developed the FDTD engine, and tested the tool
  • J. Trieschmann ... Validated the theory, and tested the tool
  • N. Arnold ... Validated the code with an alternative numerical simulation, and tested the tool
  • A. V. Kildishev ... Developed the very first FDTD and FEM prototypes of the code and led the entire effort
  • Acknowledgements:

  • Vlad Drachev, University of North Texas ... useful discussions of the theoretical and experimental details
  • Thomas Klar, Johannes Kepler University, Linz Austria ... useful discussions of the theoretical and experimental details

Sponsored by

Office of Naval Research Multidisciplinary University Research Initiative (ONR MURI) Grant "Novel Nonlinear Optical Processes in Active, Random and Nanostructured Systems" MURI N00014-13-0649

ERC starting grant "Active NP", #257158


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[15] Trieschmann, J., Xiao, S., Prokopeva, L. J., Drachev, V. P. and Kildishev, A. V., “Experimental retrieval of the kinetic parameters of a dye in a solid film,” Opt. Express, Vol. 19, 18253-18259, 2011.

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[1] J. Trieschmann, S. Xiao, L. J. Prokopeva, V. P. Drachev, and A. V. Kildishev, “Time Domain Model of a Gain Medium Fitted to Pump-Probe Experiments” Quantum Electronics and Laser Science Conference (QELS), May, 2011, Baltimore, MA, USA.

[2] J. Trieschmann, S. Xiao, L. J. Prokopeva, V. P. Drachev, and A. V. Kildishev, “Experimental retrieval of the kinetic parameters of a dye in a solid film” Optics Express, Vol. 19, Issue 19, 18253-18259 (2011).

Cite this work

Researchers should cite this work as follows:

  • Jieran Fang; Ludmila Prokopeva; Jan Trieschmann; Nikita Arnold; Alexander V. Kildishev (2012), "PhotonicsGAIN-0D",
  • Jieran Fang; Ludmila Prokopeva; Jan Trieschmann; Nikita Arnold; Alexander V. Kildishev (2013), "PhotonicsGAIN-0D," (DOI: 10.4231/D3PK07200).

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