@inproceedings{fbf2f516cc084aeca44d85464ba89977,
title = "Interpreting phononic Bragg band gaps through finite system dynamics and transfer functions",
abstract = "This work presents an effort to understand the evolution of Bragg scattering band gaps in the context of the transfer functions of finite Phononic Crystals (PCs). Following the dispersion analysis of an infinite PC based on a single unit cell, an analytical derivation of the natural frequencies of a finite PC with a given number of cells is presented. Next, the transfer function between the tip displacement of a finite PC and a force exerted at the other end is derived in closed-form, and used to establish an understanding of the band gap formation in the finite setting. The analysis reveals that the phenomenon can be attributed to the split of poles around the center of the band gap and the absence of any poles within it. The formation mechanism is then discussed in light of several numerical examples with different combinations of system parameters and number of cells.",
keywords = "Phononic Crystals, band gap, transfer functions",
author = "\{Al Ba'ba'a\}, H. and T. Singh and M. Nouh",
note = "Publisher Copyright: {\textcopyright} COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.; Health Monitoring of Structural and Biological Systems XII 2018 ; Conference date: 05-03-2018 Through 08-03-2018",
year = "2018",
doi = "10.1117/12.2296658",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Tribikram Kundu",
booktitle = "Health Monitoring of Structural and Biological Systems XII",
address = "United States",
}