Abstract
Here we report the results obtained for band structure calculations of phononic crystals with rigid scatterers using the plane-wave expansion method. A scatterer with infinite acoustic impedance is modeled by approaching either the mass density or the elastic modulus to infinity. It is shown, that in both cases the dispersion equation contains singular matrices. This singularity leads to the correct band structure in the case of infinite elastic modulus. However, in the limiting case of infinite density the dispersion equation becomes meaningless. We explain the mathematical reason for this drastic difference.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
