Transmission for a superlattice with linear modulation of the barriers width
PDF (Español (España))


filtro Transmittance

How to Cite

Barajas-Aguilar, A. H., Enciso-Muñoz, A., & Contreras-Solorio, D. A. (2012). Transmission for a superlattice with linear modulation of the barriers width. Nova Scientia, 4(8), 1–12.


Using the transfer matrix method and the Ben Daniel-Duke equation for variable mass electrons propagation, we calculate the transmittance for a symmetric finite superlattice which has a linear dependence for the width of the potential barriers. The width of the barriers decreases from the center toward to the ends of the superlattice. The energy dependence of the transmittance presents intervals of stopbands and quite flat passbands. We calculate the transmission for several heights of barriers and widths of wells and compare with the transmission of a regular superlattice where all the barriers have the same width. We also compare with an inverted linear superlattice where the barriers width increases from the center to the ends, as well with the transmission produced by a superlattice with a Gaussian variation of the barriers width.
PDF (Español (España))


Arriaga, J. and X. Saldaña. 2006. Band structure and reflectivity of omnidirectional Si-based mirrors with a Gaussian profile refractive index. J. Appl. Phys. 100(4): 044911.

Ben Daniel, D. J. and C. B. Duke. 1996. Space-charge effects on electron tunneling. Phys. Rev. 152: 683-692.

Gómez, I., F. Domínguez-Adame, E. Diez, and V. Bellani. 1999. Electron transport across a Gaussian superlattice. J. Appl. Phys. 85(7): 3916-3918.

Madrigal Melchor, J., Agustín Enciso Muñoz, X. I. Saldaña y D. A. Contreras Solorio. 2009. Filtro óptico multicapas con variación gaussiana del índice refractivo. LII Congreso Nacional de Física, Acapulco, Guerrero, México.

Madrigal-Melchor, J., R. A. Reyes-Villagrana, X. Saldaña, S. Jelev-Vlaev, and D. A. Contreras-Solorio. 2008. Acoustic layered filter with a Gaussian distribution of impedances. SLAFES, Book of Abstracts. Iguazú, Argentina.

Pérez-Álvarez, Rolando, F. García-Moliner. 2004. Transfer matrix, Green functions and related techniques. Universitat Jaume I, Spain.

Saldaña Saldaña, X. I, D. A. Contreras Solorio y A. Enciso Muñoz. 2008. Reflectancia de una estructura multicapas con intercalado de materiales izquierdos. 20 Encuentro Nacional de Investigación Científica y Tecnológica del Golfo de México, Cd. Victoria, Tam., México.

Singh, Jasprit. 1993. Physics of semiconductors and their heterostructures. McGraw-Hill.

Tung, H. H. and C. P. Lee. 1996. An energy band-pass filter using superlattice structures. IEEE J. Quantum Electron. 32: 507-512.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright (c) 2015 Nova Scientia