International Journal of Electromagnetics and Applications
pISSN: 21685037 eISSN: 21685045
2019; 9(1): 1434
doi:10.5923/j.ijea.20190901.03
Özüm Emre Aşırım, Mustafa Kuzuoğlu
Department of Electrical and Electronics Engineering, Middle East Technical University, Ankara, Turkey
Correspondence to: Özüm Emre Aşırım, Department of Electrical and Electronics Engineering, Middle East Technical University, Ankara, Turkey.
Email: 
Copyright © 2019 The Author(s). Published by Scientific & Academic Publishing.
This work is licensed under the Creative Commons Attribution International License (CC BY).
http://creativecommons.org/licenses/by/4.0/
This paper aims to computationally show that it is possible to achieve wideband highgain optical parametric amplification in a very small lowloss microcavity. Our model involves numerical modeling of the charge polarization density in terms of the nonlinear electron cloud motion. Through a series of finite difference time domain simulations, we have determined the pump wave frequencies that maximize the electric energy density inside the microcavity. These pump wave frequencies that maximize the energy density are then selected for stimulus (input) wave amplification via nonlinear energy coupling. The achieved amplification factors are tabulated in terms of the pump wave frequency, stored electric energy density, and the intracavity charge polarization density. It is found that unlike what the current literature on nonlinear wave mixing suggests, micrometerscale achievement of wideband highgain optical parametric amplification is possible by choosing the optimum pump wave frequency that maximizes the stored electric energy density.
Keywords: Optical amplification, Nonlinear wave mixing, Optical microcavity, Parametric amplifier, Optimization
Cite this paper: Özüm Emre Aşırım, Mustafa Kuzuoğlu, Optimization of Optical Parametric Amplification Efficiency in a Microresonator Under Ultrashort Pump Wave Excitation, International Journal of Electromagnetics and Applications, Vol. 9 No. 1, 2019, pp. 1434. doi: 10.5923/j.ijea.20190901.03.
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Figure 1. A cavity with a high electric energy density (due to ) and two propagating waves 
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Figure 2. A nonlinear dipersive medium placed in a cavity 
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Figure 3. Two waves are propagating through a nonlinear dipersive medium placed in a cavity 
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Figure 4. The domain of computation and the domain of termination (PML region) 
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Figure 5. Configuration of the cavity and the dielectric material specifications for simulation1part1 
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Figure 6. Maximum electric energy density created by the pump wave (for 0<t<30ps), as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 
Figure 7. Maximum charge polarization density created by the pump wave (for 0<t<30ps), as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 
Figure 8. Maximum stimulus wave amplitude between 0<t<30ps, as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 
Figure 9. Stimulus wave amplitude variation at x=5.73µm for a pump wave frequency of 120THz 
Figure 10. The configuration for computing the gain spectrum of the stimulus wave for 
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Figure 11. Gain spectrum of the stimulus wave for and 

Figure 12. Configuration of the cavity and the dielectric material specifications for simulation2part1 
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Figure 13. Maximum electric energy density created by the pump wave (for 0<t<10ps), as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 
Figure 14. Maximum charge polarization density created by the pump wave (for 0<t<10ps), as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 
Figure 15. Maximum stimulus wave amplitude between 0<t<10ps, as measured inside the cavity at x=5.73µm, versus the frequency of the pump wave 

Figure 16. Stimulus wave amplitude variation at x=5.73µm for a pump wave frequency of 350THz 
Figure 17. The configuration for computing the gain spectrum of the stimulus wave for 
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Figure 18. Gain spectrum of the stimulus wave for and 
Figure 19. Configuration for frequency upconversion 
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Figure 20. Comparison of the frequency upconversion efficiencies for and versus the pump wave amplitude 
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