Theoretical study of three dimensional elastic band gaps with the finite-difference time-domain method

By M. Sigalas, N. Garcı́a. 2000

211 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/7713110a6746d959ef0150410e257fdc2b7e03a9

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

In Electrical and Electronic Engineering

Citations in the corpus

Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, methodology): “2 numerical techniques like Plane Waves Expansion [8,9,11–13,18,19,21–23,26,27,30,31], Finite Difference Time Domain [16,20,24], Multiple Scattering Theory [14,17], and Finite Elements methods [25,28,29].”
Microfabricated phononic crystal devices and applications (2008, methodology): “32, which was determined to be the optimum value for maximizing the width of a W/SiO2 bandgap utilizing finite-difference-time-domain (FDTD) modeling [5, 30].”
Sonic crystals and sonic wave-guides (2005, methodology): “The first is (1) the plane-wave expansion (PWE) method which is valid for periodic structures of an infinite size [11, 71, 68], (2) the FDTD method for arbitrary structures of a finite size [53, 79], (3) the wave propagation method which solves slowly varying envelope functions of waves in an arbitr”
Genetic algorithm optimization of phononic bandgap structures (2006, methodology): “…2003; Zhang et al., 2003a,b; Kee et al., 2000; Suzuki and Yu, 1998; Goffaux and Vigneron, 2001), the finite difference time domain (FDTD) method (Sigalas and Garcia, 2000; Tanaka et al., 2000; Tanaka and Tamura, 2002), the multiple scattering (MST) method (Psarobas et al., 2000; Kafesaki and…”
Classical vibrational modes in phononic lattices: theory and experiment (2005, unknown): “for 3D systems [18].”
A Review of Acoustic Metamaterials and Phononic Crystals (2020, methodology): “The finite-difference time-domain method [29,30] discretizes partial differential equations by discretizing time and space, transforms the partial differential equations into differential equations, and then uses numerical calculation methods to solve all vibrations at three points during wave propa”