## Dependence of Optical Matrix Elements on the Boundary Conditions of the Continuum States in Quantum Wells

Journal of the Optical Society of Korea, Vol. 9, Issue 2, pp. 39-44 (2005)

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### Abstract

Unlike for the bound states, several different boundary conditions are used for the continuum states above the barrier in semiconductor quantum wells. We employed three boundary conditions, infinite potential barrier boundary condition, periodic boundary condition and scattering boundary condition, and calculated the local number of states, wavefunctions and optical matrix elements for the symmetric and asymmetric quantum wells. We discussed how these quantities are related in the three boundary conditions. We argue that the scattering boundary condition has several advantages over the other two cases. These results would be useful in understanding quantum well lasers and detectors involving continuum states.

© 2005 Optical Society of Korea

**OCIS Codes**

(000.1600) General : Classical and quantum physics

(040.4200) Detectors : Multiple quantum well

(040.5160) Detectors : Photodetectors

(140.5960) Lasers and laser optics : Semiconductor lasers

(230.5590) Optical devices : Quantum-well, -wire and -dot devices

**History**

Original Manuscript: February 14, 2005

Revised Manuscript: May 26, 2005

Published: June 1, 2005

**Citation**

Y. R. Jang, K. H. Yoo, and L. R. Ram-Mohan, "Dependence of Optical Matrix Elements on the Boundary Conditions of the Continuum States in Quantum Wells," J. Opt. Soc. Korea **9**, 39-44 (2005)

http://www.opticsinfobase.org/josk/abstract.cfm?URI=josk-9-2-39

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