Transmittance and fractality in a cantor-like multibarrier system

Progress in Electromagnetics Research Letters

Volumn 2, Issue , 2008, Pages 149-155

  Diaz Guerrero D S ^a   Montoya, F ^a   Gaggero Sager, L M ^a   Perez Alvarez R ^a  

^a UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

TRANSFER MATRIX METHOD;

COMPLEX STRUCTURE; EFFECTIVE-MASS THEORY; FRACTAL CHARACTER; FRACTAL STRUCTURES; MULTI-BARRIER SYSTEMS; MULTIFRACTAL STRUCTURE; NUMERICAL EXPERIMENTS; TYPICAL VALUES;

FRACTAL DIMENSION;

EID: 84991388168     PISSN: 19376480     EISSN: None     Source Type: Journal    
DOI: 10.2528/PIERL07122804     Document Type: Article

References (14)

1. Gaggero-Sager, L. M., E. R. Pujals, and O. Sotolongo-Costa, “Selfsimilarity in a Cantor-like semiconductor quantum well,” Phys. Stat. Sol. (b), Vol. 220, 167-169, 2000.
2. Lavrinenko, A. V., S. V. Zhukovsky, K. S. Sandomirski, and S. V. Gaponenko, “Propagation of classical waves in nonperiodic media: Scaling properties of an optical Cantor filter,” Phys. Rev. E, Vol. 65, 036621, 2002.
3. Zhukovsky, S. V., A. V. Lavrinenko, and S. V. Gaponenko, “Spectral scalability as a result of geometrical self-similarity in fractal multilayers,” Europhys. Lett., Vol. 66, No. 3, 455-461, 2004.
4. Moretti, L., I. Rea, L. de Stefano, and I. Rendina, “Periodic versus aperiodic: Enhancing the sensitivity of porous silicon based optical sensors,” Applied Physics Letters, Vol. 90, 191112, 2007.
5. Pérez-Alvarez, R. and F. García-Moliner, Transfer Matrix, Green Function and Related Techniques: Tools for the Study of Multilayer Heterostructures, Universitat Jaume I, Castellón, Spain, 2004.
6. Mora, M., R. Pérez-Álvarez, and C. Sommers, “Transfer matrix in one dimensional problems,” J. Physique, Vol. 46, No. 7, 1021-1026, 1985.
7. Griffiths, D. J. and C. A. Steinke, “Waves in locally periodic media,” Am. J. Phys., Vol. 69, No. 2, 137-154, 2001.
8. Rasband, S. N., Chaos Dynamics of Nonlinear Systems, Wiley Professional Paperback Series, 1997.
9. Pérez-Alvarez, R., F. García-Moliner, C. Trallero-Giner, and V. R. Velasco, “Polar optical modes in Fibonacci heterostructures,” J. Raman Spectroscopy, Vol. 31, No. 5, 421-425, 2000.
10. Pérez-Alvarez, R. and F. García-Moliner, “The spectrum of quasiregular heterostructures,” invited chapter in Contemporary Problems of the Condensed Matter Physics, S. Vlaev and L. M. Gaggero-Sager (eds.), Editorial Nova Science Publishers, Huntington, New York, 2001.
11. Velasco, V. R., R. Pérez-Alvarez, and F. García-Moliner, “Some properties of the elastic waves in quasiregular heterostructures,” J. Phys.: Cond. Matt., Vol. 14, 5933-5957, 2002.
12. Pérez-Álvarez, R., F. García-Moliner, and V. R. Velasco, “Some elementary questions in the theory of quasiperiodic heterostructures,” J. of Phys.: Condens. Matter, Vol. 13, 3689-3698, 2001.
13. Bovier, A. and J. M. Ghez, “Spectral properties of onedimensional Schrödinger operators withp otentials generated by substitutions,” Commun. Math. Phys., Vol. 158, No. 1, 45-66, 1993.
14. Bovier, A. and J. M. Ghez, “Remarks on the spectral properties of tight-binding and Kronig-Penney models with substitution sequences,” J. Phys. A:Math. Gen., Vol. 28, No. 8, 2313-2324, 1995.