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上海交通大学学报：英文版

THIRD HARMONIC GENERATION IN AN ASYMMETRIC QUANTUM WELL

Peng Fei

Published Jan 1, 1999• 0 citations
OpenAlex

Abstract

A semi parabolic quantum well model to study the third order optical nonlinearities was proposed. A concise formulation of the third harmonic generation was presented. Using a compact density matrix approach, the extremely large third order nonlinearities were obtained. The reason is the possibility of tuning independently the frequency of the semi parabolic potential and the triply resonance effect. The value of | χ (3) max (3 ω )| is as high as 2.7×10 -12 (m/V) 2 at 10.7 μm.

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Journal of Applied Physics•Mar 15, 1994•29 citations
A semi parabolic quantum well model to study the third order optical
nonlinearities was proposed. A concise formulation of the third harmonic generation was
presented. Using a compact density matrix approach, the extremely large third order
nonlinearities were obtained. The reason is the possibility of tuning independently the
frequency of the semi parabolic potential and the triply resonance effect. The value of | χ
(3) max (3 ω )| is as high as 2.7×10 -12 (m/V) 2 at 10.7 μm.
Third-order optical nonlinearities in semi-parabolic quantum wells are studied. The third-harmonic generation coefficient is obtained by using compact-density-matrix approach and iterative method, and the numerical results are presented for spical semi-parabolic quantum wells. The very large third-harmonic-generation coefficient is obtained in this semi-parabolic quantum wells and it is over 10 times bigger than that obtained in parabolic quantum wells. In addition, the relations among the third-harmonic-generation coefficient, the photons energy, the parabolic confinement frequency, and the relaxation constant are also investigated, respectively.
Within the framework of the compact density matrix approach, the third-harmonic generation (THG) in an electric-field-biased semi-parabolic quantum well (QW) has been deduced and investigated. Via variant of displacement harmonic oscillation, the exact electronic states in the semi-parabolic QW with an applied electric field have also been obtained and discussed. Numerical results on typical GaAs material reveal that, electric fields and confined potential frequency of semi-parabolic QW have obvious influences on the energy levels of electronic states and the THG in the semi-parabolic QW systems.
Within the framework of the compact density matrix approach, the third-harmonic generation (THG) in an electric-field-biased semi-parabolic quantum well (QW) has been deduced and investigated. Via variant of displacement harmonic oscillation, the exact electronic states in the semi-parabolic QW with an applied electric field have also been obtained and discussed. Numerical results on typical GaAs material reveal that, electric fields and confined potential frequency of semi-parabolic QW have obvious influences on the energy levels of electronic states and the THG in the semi-parabolic QW systems.
The third harmonic susceptibility for the finite parabolic quantum well (PQW) is studied theoretically. An important feature of the finite PQW is that the subband eigenenergies En form an equally spaced energy-level ladder. Since the eigenenergy spacing ℏω0 can be designed to resonate with the pumping source, the third harmonic susceptibility can be greatly enhanced through the triple resonance. A third harmonic susceptibility as high as 2000 (nm/V)2 could be achieved for the finite parabolic quantum well structure. This is a more than six orders of magnitude enhancement as compared to that of the bulk GaAs.