FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2803402103> ?p ?o ?g. }

• W2803402103 endingPage "20180547" @default.
• W2803402103 startingPage "20180547" @default.
• W2803402103 abstract "In this study, we establish an inclusive paradigm for the homogenization of scalar wave motion in periodic media (including the source term) at finite frequencies and wavenumbers spanning the first Brillouin zone. We take the eigenvalue problem for the unit cell of periodicity as a point of departure, and we consider the projection of germane Bloch wave function onto a suitable eigenfunction as descriptor of effective wave motion. For generality the finite wavenumber, finite frequency homogenization is pursued in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msup> <mml:mrow> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> </mml:math> via second-order asymptotic expansion about the apexes of ‘wavenumber quadrants’ comprising the first Brillouin zone, at frequencies near given (acoustic or optical) dispersion branch. We also consider the junctures of dispersion branches and ‘dense’ clusters thereof, where the asymptotic analysis reveals several distinct regimes driven by the parity and symmetries of the germane eigenfunction basis. In the case of junctures, one of these asymptotic regimes is shown to describe the so-called Dirac points that are relevant to the phenomenon of topological insulation. On the other hand, the effective model for nearby solution branches is found to invariably entail a Dirac-like system of equations that describes the interacting dispersion surfaces as ‘blunted cones’. For all cases considered, the effective description turns out to admit the same general framework, with differences largely being limited to (i) the eigenfunction basis, (ii) the reference cell of medium periodicity, and (iii) the wavenumber–frequency scaling law underpinning the asymptotic expansion. We illustrate the analytical developments by several examples, including Green's function near the edge of a band gap and clusters of nearby dispersion surfaces." @default.
• W2803402103 created "2018-06-01" @default.
• W2803402103 creator A5059261882 @default.
• W2803402103 creator A5073819137 @default.
• W2803402103 creator A5078343151 @default.
• W2803402103 date "2019-03-01" @default.
• W2803402103 modified "2023-10-16" @default.
• W2803402103 title "A rational framework for dynamic homogenization at finite wavelengths and frequencies" @default.
• W2803402103 cites W1204726923 @default.
• W2803402103 cites W1966837821 @default.
• W2803402103 cites W1994055708 @default.
• W2803402103 cites W2008279176 @default.
• W2803402103 cites W2029054034 @default.
• W2803402103 cites W2029887342 @default.
• W2803402103 cites W2032513775 @default.
• W2803402103 cites W2032588388 @default.
• W2803402103 cites W2033289507 @default.
• W2803402103 cites W2039105999 @default.
• W2803402103 cites W2050954283 @default.
• W2803402103 cites W2060375283 @default.
• W2803402103 cites W2064174331 @default.
• W2803402103 cites W2076046292 @default.
• W2803402103 cites W2080114637 @default.
• W2803402103 cites W2083346041 @default.
• W2803402103 cites W2087317126 @default.
• W2803402103 cites W2101411933 @default.
• W2803402103 cites W2124533274 @default.
• W2803402103 cites W2126488759 @default.
• W2803402103 cites W2126982008 @default.
• W2803402103 cites W2169005607 @default.
• W2803402103 cites W2208027787 @default.
• W2803402103 cites W2296492876 @default.
• W2803402103 cites W2300498841 @default.
• W2803402103 cites W2756727038 @default.
• W2803402103 cites W2762304334 @default.
• W2803402103 cites W2898147335 @default.
• W2803402103 cites W3099528508 @default.
• W2803402103 cites W631968210 @default.
• W2803402103 doi "https://doi.org/10.1098/rspa.2018.0547" @default.
• W2803402103 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31007545" @default.
• W2803402103 hasPublicationYear "2019" @default.
• W2803402103 type Work @default.
• W2803402103 sameAs 2803402103 @default.
• W2803402103 citedByCount "14" @default.
• W2803402103 countsByYear W28034021032020 @default.
• W2803402103 countsByYear W28034021032021 @default.
• W2803402103 countsByYear W28034021032022 @default.
• W2803402103 countsByYear W28034021032023 @default.
• W2803402103 crossrefType "journal-article" @default.
• W2803402103 hasAuthorship W2803402103A5059261882 @default.
• W2803402103 hasAuthorship W2803402103A5073819137 @default.
• W2803402103 hasAuthorship W2803402103A5078343151 @default.
• W2803402103 hasBestOaLocation W28034021031 @default.
• W2803402103 hasConcept C121130766 @default.
• W2803402103 hasConcept C121332964 @default.
• W2803402103 hasConcept C128803854 @default.
• W2803402103 hasConcept C130217890 @default.
• W2803402103 hasConcept C134306372 @default.
• W2803402103 hasConcept C158693339 @default.
• W2803402103 hasConcept C16291881 @default.
• W2803402103 hasConcept C18903297 @default.
• W2803402103 hasConcept C2778722038 @default.
• W2803402103 hasConcept C33923547 @default.
• W2803402103 hasConcept C62520636 @default.
• W2803402103 hasConcept C86803240 @default.
• W2803402103 hasConceptScore W2803402103C121130766 @default.
• W2803402103 hasConceptScore W2803402103C121332964 @default.
• W2803402103 hasConceptScore W2803402103C128803854 @default.
• W2803402103 hasConceptScore W2803402103C130217890 @default.
• W2803402103 hasConceptScore W2803402103C134306372 @default.
• W2803402103 hasConceptScore W2803402103C158693339 @default.
• W2803402103 hasConceptScore W2803402103C16291881 @default.
• W2803402103 hasConceptScore W2803402103C18903297 @default.
• W2803402103 hasConceptScore W2803402103C2778722038 @default.
• W2803402103 hasConceptScore W2803402103C33923547 @default.
• W2803402103 hasConceptScore W2803402103C62520636 @default.
• W2803402103 hasConceptScore W2803402103C86803240 @default.
• W2803402103 hasFunder F4320338279 @default.
• W2803402103 hasIssue "2223" @default.
• W2803402103 hasLocation W28034021031 @default.
• W2803402103 hasLocation W28034021032 @default.
• W2803402103 hasLocation W28034021033 @default.
• W2803402103 hasLocation W28034021034 @default.
• W2803402103 hasLocation W28034021035 @default.
• W2803402103 hasLocation W28034021036 @default.
• W2803402103 hasOpenAccess W2803402103 @default.
• W2803402103 hasPrimaryLocation W28034021031 @default.
• W2803402103 hasRelatedWork W1575765233 @default.
• W2803402103 hasRelatedWork W1984332491 @default.
• W2803402103 hasRelatedWork W1990842824 @default.
• W2803402103 hasRelatedWork W2053448926 @default.
• W2803402103 hasRelatedWork W2767914060 @default.
• W2803402103 hasRelatedWork W2909579154 @default.
• W2803402103 hasRelatedWork W2989723623 @default.
• W2803402103 hasRelatedWork W3088741476 @default.
• W2803402103 hasRelatedWork W4287661460 @default.
• W2803402103 hasRelatedWork W128178425 @default.
• W2803402103 hasVolume "475" @default.

• next