Matches in SemOpenAlex for { <https://semopenalex.org/work/W367275991> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W367275991 abstract "The purpose of this paper is to present recent work on a class of eigenvalue problems for ordinary differential equations arising in optical tunnelling from a weakly-guiding fibre, and to discuss some generalisations which are of mathematical rather than physical interest. It is based on publications with colleagues at Dublin City University and with Dr. R. B. Paris of Dundee Institute of Technology. These seven papers fall into three distinct groups. The first group ([16], [5]) consists of one-dimensional models which seek to provide a deeper understanding of the mechanisms described by Kath and Kriegsmann [9] in determining radiation losses in bent fibre-optic waveguides. The second group considers related eigenvalue problems for singularly-perturbed ordinary differential equations ([4], [11]) and their connection to the theory of resonances in quantum mechanics [10]. The physical problem in the above papers is essentially one of radiation damping, a difficult area of transcendental asymptotics which has yet to be given a satisfactory general treatment, even for ordinary differential equations. For another non-quantum mechanics application, arising in the theory of surface waves trapped by round islands of small seabed slope, the reader is referred to Lozano and Meyer [12]. The third group ([17], [18]) is concerned with obtaining exponentially-improved asymptotic expansions for special functions which appear in the eigenvalue relations above." @default.
- W367275991 created "2016-06-24" @default.
- W367275991 creator A5049479225 @default.
- W367275991 date "1991-01-01" @default.
- W367275991 modified "2023-09-27" @default.
- W367275991 title "Exponential Asymptotics and Spectral Theory for Curved Optical Waveguides" @default.
- W367275991 cites W1543016276 @default.
- W367275991 cites W1967078644 @default.
- W367275991 cites W2070699277 @default.
- W367275991 cites W2139131426 @default.
- W367275991 cites W2087238831 @default.
- W367275991 doi "https://doi.org/10.1007/978-1-4757-0435-8_25" @default.
- W367275991 hasPublicationYear "1991" @default.
- W367275991 type Work @default.
- W367275991 sameAs 367275991 @default.
- W367275991 citedByCount "3" @default.
- W367275991 countsByYear W3672759912022 @default.
- W367275991 crossrefType "book-chapter" @default.
- W367275991 hasAuthorship W367275991A5049479225 @default.
- W367275991 hasConcept C121332964 @default.
- W367275991 hasConcept C134306372 @default.
- W367275991 hasConcept C151376022 @default.
- W367275991 hasConcept C158693339 @default.
- W367275991 hasConcept C199343813 @default.
- W367275991 hasConcept C2777686260 @default.
- W367275991 hasConcept C33923547 @default.
- W367275991 hasConcept C51544822 @default.
- W367275991 hasConcept C62520636 @default.
- W367275991 hasConcept C62799726 @default.
- W367275991 hasConcept C71924100 @default.
- W367275991 hasConcept C78045399 @default.
- W367275991 hasConcept C98306654 @default.
- W367275991 hasConceptScore W367275991C121332964 @default.
- W367275991 hasConceptScore W367275991C134306372 @default.
- W367275991 hasConceptScore W367275991C151376022 @default.
- W367275991 hasConceptScore W367275991C158693339 @default.
- W367275991 hasConceptScore W367275991C199343813 @default.
- W367275991 hasConceptScore W367275991C2777686260 @default.
- W367275991 hasConceptScore W367275991C33923547 @default.
- W367275991 hasConceptScore W367275991C51544822 @default.
- W367275991 hasConceptScore W367275991C62520636 @default.
- W367275991 hasConceptScore W367275991C62799726 @default.
- W367275991 hasConceptScore W367275991C71924100 @default.
- W367275991 hasConceptScore W367275991C78045399 @default.
- W367275991 hasConceptScore W367275991C98306654 @default.
- W367275991 hasLocation W3672759911 @default.
- W367275991 hasOpenAccess W367275991 @default.
- W367275991 hasPrimaryLocation W3672759911 @default.
- W367275991 hasRelatedWork W127056878 @default.
- W367275991 hasRelatedWork W1568790415 @default.
- W367275991 hasRelatedWork W1592677701 @default.
- W367275991 hasRelatedWork W1967499346 @default.
- W367275991 hasRelatedWork W1971541059 @default.
- W367275991 hasRelatedWork W1996932647 @default.
- W367275991 hasRelatedWork W2006559310 @default.
- W367275991 hasRelatedWork W2020527197 @default.
- W367275991 hasRelatedWork W2023550793 @default.
- W367275991 hasRelatedWork W2035788515 @default.
- W367275991 hasRelatedWork W2040154188 @default.
- W367275991 hasRelatedWork W2047551380 @default.
- W367275991 hasRelatedWork W2086197541 @default.
- W367275991 hasRelatedWork W2505941476 @default.
- W367275991 hasRelatedWork W2568276651 @default.
- W367275991 hasRelatedWork W2754435796 @default.
- W367275991 hasRelatedWork W2808548008 @default.
- W367275991 hasRelatedWork W2810432504 @default.
- W367275991 hasRelatedWork W2906907308 @default.
- W367275991 hasRelatedWork W3135294446 @default.
- W367275991 isParatext "false" @default.
- W367275991 isRetracted "false" @default.
- W367275991 magId "367275991" @default.
- W367275991 workType "book-chapter" @default.