Springer Nature
Zeitschrift fur Angewandte Mathematik und Physik
,  volume 69 ,  issue 5 ,  publication number 123

Exterior diffraction problems for two-dimensional square lattice

Publication type: Journal Article
Publication date: 2018-09-11
Springer Nature
scimago Q1
wos Q2
SJR: 0.953
CiteScore: 2.9
Impact factor: 1.6
ISSN: 00442275, 14209039
General Physics and Astronomy
General Mathematics
Applied Mathematics
Abstract
We study exterior Dirichlet problems for the two-dimensional discrete Helmholtz equation with the real wave number $$k\in (0,2\sqrt{2})\backslash \{2\}$$ . The investigation is carried out without passing to the complex wave number. Similarly to the continuum theory, we use the notion of radiating solution. Then, the unique solvability result and Green’s representation formula are obtained with the help of difference potentials. Finally, we proposed a method for numerical calculation. Efficiency of our approach is demonstrated on an example related to the propagation problems in the left-handed 2D inductor–capacitor metamaterial with a hole.
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GOST Copy
Kapanadze D. Exterior diffraction problems for two-dimensional square lattice // Zeitschrift fur Angewandte Mathematik und Physik. 2018. Vol. 69. No. 5. 123
GOST all authors (up to 50) Copy
Kapanadze D. Exterior diffraction problems for two-dimensional square lattice // Zeitschrift fur Angewandte Mathematik und Physik. 2018. Vol. 69. No. 5. 123
RIS |
Cite this
RIS Copy
TY - JOUR
DO - 10.1007/s00033-018-1019-5
UR - https://doi.org/10.1007/s00033-018-1019-5
TI - Exterior diffraction problems for two-dimensional square lattice
T2 - Zeitschrift fur Angewandte Mathematik und Physik
AU - Kapanadze, D
PY - 2018
DA - 2018/09/11
PB - Springer Nature
IS - 5
VL - 69
SN - 0044-2275
SN - 1420-9039
ER -
BibTex
Cite this
BibTex (up to 50 authors) Copy
@article{2018_Kapanadze,
author = {D Kapanadze},
title = {Exterior diffraction problems for two-dimensional square lattice},
journal = {Zeitschrift fur Angewandte Mathematik und Physik},
year = {2018},
volume = {69},
publisher = {Springer Nature},
month = {sep},
url = {https://doi.org/10.1007/s00033-018-1019-5},
number = {5},
pages = {123},
doi = {10.1007/s00033-018-1019-5}
}