Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Robert Viator"'
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 56:1483-1519
Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielectric contrast inclusions. Central to this approach is the identificati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c400c801c9f3f3d899286fc1bedc0af
https://doi.org/10.1051/m2an/2022045
https://doi.org/10.1051/m2an/2022045
Autor:
Robert Viator, Braxton Osting
We consider Steklov eigenvalues of three-dimensional, nearly-spherical domains. In previous work, we have shown that the Steklov eigenvalues are analytic functions of the domain perturbation parameter. Here, we compute the first-order term of the asy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2698378fe87aea2e7936b83e5c82ff6c
Autor:
Braxton Osting, Robert Viator
Publikováno v:
Research in the Mathematical Sciences. 7
We consider the Dirichlet-to-Neumann operator (DNO) on nearly circular and nearly spherical domains in two and three dimensions, respectively. Treating such domains as perturbations of the ball, we prove the analyticity of the DNO with respect to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fba7c63dd9987ee2dd0cf59ccd54aa20
https://doi.org/10.1007/s40687-020-0202-4
https://doi.org/10.1007/s40687-020-0202-4
Autor:
T.S. Belozerova, S. Cortés-López, Piotr Czaja, Roman Czapla, Nataliya Dadoenkova, Yuliya Dadoenkova, Piotr Drygaś, Leonid A. Filshtinsky, Simon Gluzman, Tatjana Gric, Wojciech Gwizdała, V.K. Henner, Ortwin Hess, El Mostafa Kalmoun, Kamila Kluczewska-Chmielarz, Robert Lipton, Valeri Lozovski, Igor Lyubchanskii, Jacek Michniowski, Vladimir Mityushev, Mohamed M.S. Nasser, Wojciech Nawalaniec, Ivan Panyaev, F. Pérez-Rodríguez, Margarita Razumova, Dmitry Sannikov, Mariusz Sokołowski, Jan Suchanicz, Illya I. Tarasenko, Robert Viator, Marcin Wąs, V.I. Yukalov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32cf837ff3f6a62d490b8518b9e32cfb
https://doi.org/10.1016/b978-0-12-818819-4.00005-2
https://doi.org/10.1016/b978-0-12-818819-4.00005-2
Autor:
Robert Viator, Robert Lipton
We identify explicit conditions on geometry and material contrast for creating band gaps in 2D photonic and 3D acoustic crystals made from composites. This approach is new and makes use of the electrostatic and quasiperiodic source-free resonances of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff73fa96e657be6df0f2783fcd2b432e
https://doi.org/10.1016/b978-0-12-818819-4.00010-6
https://doi.org/10.1016/b978-0-12-818819-4.00010-6
Autor:
Braxton Osting, Robert Viator
We consider Steklov eigenvalues of reflection-symmetric, nearly circular, planar domains. Treating such domains as perturbations of the disc, we obtain a second-order formal asymptotic estimate in the domain perturbation parameter. We conclude with a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e18b597132ee089c121102affb41fc6
https://europepmc.org/articles/PMC6304027/
https://europepmc.org/articles/PMC6304027/
Autor:
Robert Viator, Robert Lipton
We identify explicit conditions on geometry and material contrast for creating band gaps in 2-d photonic and 3-d acoustic crystals. This approach is novel and makes use of the electro-static and quasi-periodic source free resonances of the crystal. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e18a7e5de005cd1d3ecdc9c633583334
http://arxiv.org/abs/1607.02365
http://arxiv.org/abs/1607.02365
Autor:
Robert Lipton, Robert Viator
Analytic representation formulas and power series are developed describing the band structure inside periodic photonic and acoustic crystals made from high contrast inclusions. Central to this approach is the identification and utilization of a reson
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::787f2ca541866c6007e0e0ce73b133b1