Abstract
A new formulation of eigenproblem for phononic crystals is developed. The convergence of the new formulation in the band-structure calculations is examined in detail and compared with that of the conventional plane wave expansion (CPWE) method. Numerical results show that the slow convergence of the CPWE method is not due to the slow convergence of the Fourier series for the elastic coefficients (or displacement fields) in the interfaces of different materials, but to the inappropriate formulation of the eigenproblem used in the calculations. Numerical calculations also show that the new formulation can provide much more accurate numerical results than the CPWE method for the systems of either very high or very low filling fractions, or of large elastic mismatch.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.