Generalized eigenproblem of hybrid matrix for Floquet wave propagation in one-dimensional phononic crystals with solids and fluids.
A method based on the solution to a generalized eigenproblem of hybrid matrix is presented for stable analysis of Floquet wave propagation in one-dimensional phononic crystals with solids and fluids. The method overcomes the numerical instability in the standard eigenproblem of transfer matrix, thus enabling Floquet waves to be determined reliably. The recursion relations of hybrid matrix for periodic multilayered structure of various solid and/or fluid phases are formulated. Dispersion relation and omnidirectional reflection for one-dimensional phononic crystals with solids and fluids are discussed. The frequency-thickness range of phononic bandgap is determined conveniently based on the Floquet wavenumbers.
Tan
Eng Leong
EL
Nanyang Technological University, School of Electrical & Electronic Engineering, Block S2, Nanyang Ave, 639798, Singapore. eeltan@ntu.edu.sg
D000465:Algorithms; D045424:Complex Mixtures / Q000032:analysis / Q000737:chemistry*; D003198:Computer Simulation; D019220:High-Energy Shock Waves; D008420:Manufactured Materials / Q000032:analysis*; D008956:Models, Chemical; D011208:Powders / Q000032:analysis / Q000737:chemistry*; D012542:Scattering, Radiation
D045424:Complex Mixtures; D011208:Powders