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Open Access Nano Express

Tunneling times of acoustic phonon packets through a distributed Bragg reflector

Zorayda Lazcano, Pedro Luis Valdés Negrín, Diosdado Villegas, Jesus Arriaga and Rolando Pérez-Álvarez

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

Published: 29 August 2014

Abstract (provisional)

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.

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