volume | PIER Journals

2010-07-03

The Influences of Confined Phonons on the Nonlinear Absorption Coefficient of a Strong Electromagnetic Wave by Confined Electrons in Doping Superlattices

Nguyen Quang Bau,

Dr. Nguyen Quang Bau

Department of Physics, College of Natural Science

National University in Hanoi

Vietnam

Homepage

Do Manh Hung,

Dr. Do Manh Hung

Department of Physics, College of Natural Science

National University in Hanoi

Vietnam

Homepage

Le Thai Hung

Dr. Le Thai Hung

Department of Physics, College of Natural Sciences

Hanoi National University

Viet Nam

Homepage

Progress In Electromagnetics Research Letters, Vol. 15, 175-185, 2010

doi:10.2528/PIERL10030911

Abstract

The influences of confined phonons on the nonlinear absorption coefficient (NAC) by a strong electromagnetic wave for the case of electron-optical phonon scattering in doped superlattices (DSLs) are theoretically studied by using the quantum transport equation for electrons. The dependence of NAC on the energy (hΩ), the amplitude (E₀) of external strong electromagnetic wave, the temperature (T) of the system, is obtained. Two cases for the absorption: Close to the absorption threshold ∣khΩ - hω₀∣<< ε and far away from the absorption threshold ∣khΩ - hω₀∣>> ε (k = 0, 1, 2..., hω₀ and ε are the frequency of optical phonon and the average energy of electrons, respectively) are considered. The formula of the NAC contains a quantum number m characterizing confined phonons. The analytic expressions are numerically evaluated, plotted and discussed for a specific of the n-GaAs/p-GaAs DSLs. The computations show that the spectrums of the NAC in case of confined phonon are much different from they are in case of un-confined phonon and strongly depend on a quantum number m characterizing confinement phonon.

Citation

Copy Export

Nguyen Quang Bau, Do Manh Hung, and Le Thai Hung, "The Influences of Confined Phonons on the Nonlinear Absorption Coefficient of a Strong Electromagnetic Wave by Confined Electrons in Doping Superlattices," Progress In Electromagnetics Research Letters, Vol. 15, 175-185, 2010.
doi:10.2528/PIERL10030911

References

1. Mori, N. and T. Ando, "Electron-optical-phonon interaction in single and double heterostructures," Phys. Rev. B, Vol. 40, 6175, 1989.
doi:10.1103/PhysRevB.40.6175

2. Rucker, H., E. Molinari, and P. Lugli, "Microscopic calculation of the electron-phonon interaction in quantum wells," Phys. Rev. B, Vol. 45, 6747, 1992.
doi:10.1103/PhysRevB.45.6747

3. Pozela, J. and V. Juciene, "Enhancement of electron mobility in 2D MODFET structures," Sov. Phys. Tech. Semicond., Vol. 29, 459, 1995.

4. Vasilopoulos, P., M. Charbonneau, and C. M. Van Vliet, "Linear and nonlinear electrical conduction in quasi-two-dimensional quantum-wells," Phys. Rev. B, Vol. 35, 1334, 1987.
doi:10.1103/PhysRevB.35.1334

5. Suzuki, A., "Theory of hot-electron magnetophonon resonance in quasi-twodimensional quantum-well structures," Phys. Rev. B, Vol. 45, 6731, 1992.
doi:10.1103/PhysRevB.45.6731

6. Pavlovich, V. V. and E. M. Epshtein, "Quantum theory of absorption of electronmagnetic wave by free carries in simiconductors," Sov. Phys. Stat., Vol. 19, 1970, 1977.

7. Shmelev, G. M., I. A. Chaikovskii, and N. Q. Bau, "HF conduction in semiconductors superlattices," Sov. Phys. Tech. Semicond., Vol. 12, 1932, 1978.

8. Bau, N. Q. and T. C. Phong, "Calculations of the absorption coefficient of a weak EMW by free carriers in quantum wells by the Kubo-Mori Method," J. Phys. Soc. Jpn., Vol. 67, 3875, 1998.
doi:10.1143/JPSJ.67.3875

9. Bau, N. Q., N. V. Nhan, and T. C. Phong, "Calculations of the absorption coefficient of a weak electromagnetic wave by free carriers in doped superlattices by using the Kubo-Mori method," J. Kor. Phys. Soc., Vol. 42, No. 1, 149, 2002.

10. Schmit-Rink, S., D. S. Chemla, and D. A. B. Miler, "Linear and nonlinear optical properties in semiconductor quantum wells," Adv. Phys., Vol. 38, 89, 1989.
doi:10.1080/00018738900101102

11. Bau, Q. N., D. M. Hung, and B. N. Ngoc, "The nonlinear absorption coeffcient of a strong electromagnetic wave caused by confined electrons in quantum wells," J. Korean Phys. Soc., Vol. 2, 765, 2009.