Matches in SemOpenAlex for { <https://semopenalex.org/work/W4315589067> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4315589067 abstract "Potential-based formulation with generalized Lorenz gauge can be used in the quantization of electromagnetic fields in inhomogeneous media. However, one often faces the redundancy of modes when finding eigenmodes from potential-based formulation. In free space, this can be explained by the connection to the well-known Helmholtz decomposition. In this work, we generalize the Helmholtz decomposition to its generalized form, echoing the use of generalized Lorenz gauge in inhomogeneous media. We formulate electromagnetics eigenvalue problems using vector potential formulation which is often used in numerical quantization. The properties of the differential operators are mathematically analyzed. Orthogonality relations between the two classes of modes are proved in both continuous and discrete space. Completeness of two sets of modes and the orthogonality relations are numerically validated in inhomogeneous anisotropic media. This work serves as a foundation for numerical quantization of electromagnetic fields in inhomogeneous media with potential-based formulation." @default.
- W4315589067 created "2023-01-11" @default.
- W4315589067 creator A5001685932 @default.
- W4315589067 creator A5032649464 @default.
- W4315589067 creator A5035435056 @default.
- W4315589067 creator A5045214825 @default.
- W4315589067 date "2023-01-09" @default.
- W4315589067 modified "2023-10-16" @default.
- W4315589067 title "Generalized Helmholtz Decomposition for Modal Analysis of Electromagnetic Problems in Inhomogeneous Media" @default.
- W4315589067 doi "https://doi.org/10.48550/arxiv.2301.03446" @default.
- W4315589067 hasPublicationYear "2023" @default.
- W4315589067 type Work @default.
- W4315589067 citedByCount "0" @default.
- W4315589067 crossrefType "posted-content" @default.
- W4315589067 hasAuthorship W4315589067A5001685932 @default.
- W4315589067 hasAuthorship W4315589067A5032649464 @default.
- W4315589067 hasAuthorship W4315589067A5035435056 @default.
- W4315589067 hasAuthorship W4315589067A5045214825 @default.
- W4315589067 hasBestOaLocation W43155890671 @default.
- W4315589067 hasConcept C115071613 @default.
- W4315589067 hasConcept C121332964 @default.
- W4315589067 hasConcept C134306372 @default.
- W4315589067 hasConcept C17137986 @default.
- W4315589067 hasConcept C181830111 @default.
- W4315589067 hasConcept C196258919 @default.
- W4315589067 hasConcept C2524010 @default.
- W4315589067 hasConcept C27592594 @default.
- W4315589067 hasConcept C28826006 @default.
- W4315589067 hasConcept C28843909 @default.
- W4315589067 hasConcept C2909720056 @default.
- W4315589067 hasConcept C31593994 @default.
- W4315589067 hasConcept C33923547 @default.
- W4315589067 hasConcept C37914503 @default.
- W4315589067 hasConcept C40263606 @default.
- W4315589067 hasConcept C61696701 @default.
- W4315589067 hasConcept C62520636 @default.
- W4315589067 hasConceptScore W4315589067C115071613 @default.
- W4315589067 hasConceptScore W4315589067C121332964 @default.
- W4315589067 hasConceptScore W4315589067C134306372 @default.
- W4315589067 hasConceptScore W4315589067C17137986 @default.
- W4315589067 hasConceptScore W4315589067C181830111 @default.
- W4315589067 hasConceptScore W4315589067C196258919 @default.
- W4315589067 hasConceptScore W4315589067C2524010 @default.
- W4315589067 hasConceptScore W4315589067C27592594 @default.
- W4315589067 hasConceptScore W4315589067C28826006 @default.
- W4315589067 hasConceptScore W4315589067C28843909 @default.
- W4315589067 hasConceptScore W4315589067C2909720056 @default.
- W4315589067 hasConceptScore W4315589067C31593994 @default.
- W4315589067 hasConceptScore W4315589067C33923547 @default.
- W4315589067 hasConceptScore W4315589067C37914503 @default.
- W4315589067 hasConceptScore W4315589067C40263606 @default.
- W4315589067 hasConceptScore W4315589067C61696701 @default.
- W4315589067 hasConceptScore W4315589067C62520636 @default.
- W4315589067 hasLocation W43155890671 @default.
- W4315589067 hasOpenAccess W4315589067 @default.
- W4315589067 hasPrimaryLocation W43155890671 @default.
- W4315589067 hasRelatedWork W1611779172 @default.
- W4315589067 hasRelatedWork W1656087933 @default.
- W4315589067 hasRelatedWork W2042830636 @default.
- W4315589067 hasRelatedWork W2107778260 @default.
- W4315589067 hasRelatedWork W2119573428 @default.
- W4315589067 hasRelatedWork W2185108727 @default.
- W4315589067 hasRelatedWork W220068991 @default.
- W4315589067 hasRelatedWork W2529574580 @default.
- W4315589067 hasRelatedWork W2952154322 @default.
- W4315589067 hasRelatedWork W3009103089 @default.
- W4315589067 isParatext "false" @default.
- W4315589067 isRetracted "false" @default.
- W4315589067 workType "article" @default.