Open Access Nano Express

Tunneling times of acoustic phonon packets through a distributed Bragg reflector

Zorayda Lazcano1, Pedro Luis Valdés Negrín2, Diosdado Villegas12, Jesus Arriaga1* and Rolando Pérez-Álvarez3

Author Affiliations

1 Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, CP 7250 Puebla, México

2 Departamento de Física, Universidad Central ‘Marta Abreu’ de Las Villas, CP 54830 Santa Clara, Cuba

3 Universidad Autónoma del Estado de Morelos, Ave. Universidad 1001, CP 62209 Cuernavaca, México

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Nanoscale Research Letters 2014, 9:449  doi:10.1186/1556-276X-9-449

Published: 29 August 2014


The longwave phenomenological model is used to make simple and precise calculations of various physical quantities such as the vibrational energy density, the vibrational energy, the relative mechanical displacement, and the one-dimensional stress tensor of a porous silicon distributed Bragg reflector. From general principles such as invariance under time reversal, invariance under space reflection, and conservation of energy density flux, the equivalence of the tunneling times for both transmission and reflection is demonstrated. Here, we study the tunneling times of acoustic phonon packets through a distributed Bragg reflector in porous silicon multilayer structures, and we report the possibility that a phenomenon called Hartman effect appears in these structures.

Distributed Bragg reflector; Tunneling time; Hartman effect