Wave scattering on lattice structures involving an array of cracks
| Autor: | Gaurav Maurya, Basant Lal Sharma |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Diffraction
Floquet theory General Mathematics FOS: Physical sciences General Physics and Astronomy 02 engineering and technology Crystal structure Physics - Classical Physics 01 natural sciences Optics Waveguide (acoustics) 0101 mathematics Vertical array Mathematical Physics Physics business.industry Scattering General Engineering Special Feature Classical Physics (physics.class-ph) Mathematical Physics (math-ph) 021001 nanoscience & nanotechnology Square lattice 010101 applied mathematics Transmission (telecommunications) 0210 nano-technology business |
| Zdroj: | Proc Math Phys Eng Sci |
| ISSN: | 1364-5021 |
| Popis: | Scattering of waves as a result of a vertical array of equally spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of a specific wave-mode from a single crack in a waveguide. The discrete Green’s function, for the waveguide, is used to obtain the semi-analytical solution for the scattering problem in the case of finite cracks whereas the limiting case of semi-infinite cracks is tackled by an application of the Wiener–Hopf technique. Reflectance and transmittance of such an array of cracks, in terms of incident wave parameters, is analysed. Potential applications include construction of tunable atomic-scale interfaces to control energy transmission at different frequencies. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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