Date of Award
12-1995
Degree Name
Master of Arts
Department
Physics
First Advisor
Dr. Arthur McGurn
Second Advisor
Dr. E. Kamber
Third Advisor
Dr. Clement Burns
Access Setting
Masters Thesis-Open Access
Abstract
In this thesis I study the band structure for acoustic waves propagating in a one-dimensional elastic array which forms a periodic elastic system in which band gaps are opened in the frequency spectrum. Specifically, I study the single impurity problem in this system. An impurity is introduced in the system by replacing one of the acoustic slabs with a new slab of different acoustic medium or by changing the thickness of impurity slab. I study the very narrow (in frequency) impurity modes in the band gaps which are localized about the impurity sites. Then I study the frequency of impurity modes as a function of thickness of impurity slab or impurity impedance, and determine what conditions are needed for an impurity mode to exist. The calculations presented in this thesis are based on numerically studying the transmittance of impurity modes into band gap in one-dimensional, periodic arrays of slabs.
Recommended Citation
Rahman, Abdur, "Band Structure for Acoustic Waves Propagating in a Periodic Elastic Media and Impurity Modes Arising from Slab Substitutions" (1995). Masters Theses. 4271.
https://scholarworks.wmich.edu/masters_theses/4271