FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2015145341> ?p ?o ?g. }

• W2015145341 endingPage "176" @default.
• W2015145341 startingPage "125" @default.
• W2015145341 abstract "The treatment, initiated in Paper I [J. Math. Phys. 10, 82 (1969)], of the high-frequency scattering of a scalar plane wave by a transparent sphere is continued. The main results here are an improved theory of the rainbow and a theory of the glory. The modified Watson transformation is applied to the third term of the Debye expansion of the scattering amplitude in terms of multiple reflections. Only the range 1&lt;N&lt;√2, where N is the refractive index, is considered. In the geometrical-optic approximation, this term is associated with rays transmitted after one internal reflection, and there are three angular regions, corresponding to one ray, two rays, or no ray (shadow) passing through each direction. Together with transition regions, this leads to six different angular domains. In the 1-ray and 2-ray regions, geometrical-optic terms are dominant. Correction terms corresponding to the 2nd-order WKB approximation are also evaluated. In the 0-ray region, the amplitude is dominated by complex rays and surface waves. The 1-ray/2-ray transition is a Fock-type region. The rainbow appears in the 2-ray/0-ray transition region. The extension of the method of steepest descents due to Chester, Friedman and Ursell is applied. The result is a uniform asymptotic expansion for the scattering amplitude. It reduces to Airy's theory in the lowest-order approximation, but its domain of validity is considerably greater, both with regard to size parameter and to angles. The glory is an example of strong ``Regge-pole dominance'' of the near-backward scattering amplitude. Van de Hulst's conjecture that surface waves are responsible for the glory is confirmed. However, besides surface waves taking two shortcuts through the sphere, higher-order terms in the Debye expansion must also be taken into account. By considering also the effect of higher-order surface-wave contributions, all the features observed in the glory (apart from the polarization) are explained. Resonance effects associated with nearly-closed paths of diffracted rays lead to large, rapid, quasiperiodic intensity fluctuations. The same effects are responsible for the ripple in the total cross-section. Similar fluctuations appear in any direction, but their amplitude increases with the scattering angle, becoming a maximum near the backward direction, where they are dominant. They can also be interpreted as a collective effect due to many nearly-resonant partial waves in the edge domain. The dominant surface-wave contributions can also be summed to all orders for N &lt; 1, leading to a renormalization of the propagation constants of surface waves." @default.
• W2015145341 created "2016-06-24" @default.
• W2015145341 creator A5015343426 @default.
• W2015145341 date "1969-01-01" @default.
• W2015145341 modified "2023-09-26" @default.
• W2015145341 title "High-Frequency Scattering by a Transparent Sphere. II. Theory of the Rainbow and the Glory" @default.
• W2015145341 cites W1973460815 @default.
• W2015145341 cites W1978750960 @default.
• W2015145341 cites W1983016759 @default.
• W2015145341 cites W1991112855 @default.
• W2015145341 cites W2006482738 @default.
• W2015145341 cites W2007526061 @default.
• W2015145341 cites W2015013217 @default.
• W2015145341 cites W2022533330 @default.
• W2015145341 cites W2034245310 @default.
• W2015145341 cites W2049726424 @default.
• W2015145341 cites W2059737334 @default.
• W2015145341 cites W2090733519 @default.
• W2015145341 cites W2121908831 @default.
• W2015145341 cites W2143523589 @default.
• W2015145341 cites W2151341394 @default.
• W2015145341 cites W2163902420 @default.
• W2015145341 cites W2164405908 @default.
• W2015145341 cites W4247614116 @default.
• W2015145341 doi "https://doi.org/10.1063/1.1664747" @default.
• W2015145341 hasPublicationYear "1969" @default.
• W2015145341 type Work @default.
• W2015145341 sameAs 2015145341 @default.
• W2015145341 citedByCount "170" @default.
• W2015145341 countsByYear W20151453412012 @default.
• W2015145341 countsByYear W20151453412013 @default.
• W2015145341 countsByYear W20151453412014 @default.
• W2015145341 countsByYear W20151453412015 @default.
• W2015145341 countsByYear W20151453412016 @default.
• W2015145341 countsByYear W20151453412017 @default.
• W2015145341 countsByYear W20151453412018 @default.
• W2015145341 countsByYear W20151453412019 @default.
• W2015145341 countsByYear W20151453412020 @default.
• W2015145341 countsByYear W20151453412021 @default.
• W2015145341 countsByYear W20151453412022 @default.
• W2015145341 countsByYear W20151453412023 @default.
• W2015145341 crossrefType "journal-article" @default.
• W2015145341 hasAuthorship W2015145341A5015343426 @default.
• W2015145341 hasConcept C120665830 @default.
• W2015145341 hasConcept C121332964 @default.
• W2015145341 hasConcept C153013531 @default.
• W2015145341 hasConcept C180205008 @default.
• W2015145341 hasConcept C191486275 @default.
• W2015145341 hasConcept C2776558979 @default.
• W2015145341 hasConcept C62520636 @default.
• W2015145341 hasConcept C67105901 @default.
• W2015145341 hasConceptScore W2015145341C120665830 @default.
• W2015145341 hasConceptScore W2015145341C121332964 @default.
• W2015145341 hasConceptScore W2015145341C153013531 @default.
• W2015145341 hasConceptScore W2015145341C180205008 @default.
• W2015145341 hasConceptScore W2015145341C191486275 @default.
• W2015145341 hasConceptScore W2015145341C2776558979 @default.
• W2015145341 hasConceptScore W2015145341C62520636 @default.
• W2015145341 hasConceptScore W2015145341C67105901 @default.
• W2015145341 hasIssue "1" @default.
• W2015145341 hasLocation W20151453411 @default.
• W2015145341 hasOpenAccess W2015145341 @default.
• W2015145341 hasPrimaryLocation W20151453411 @default.
• W2015145341 hasRelatedWork W1525777291 @default.
• W2015145341 hasRelatedWork W1969108365 @default.
• W2015145341 hasRelatedWork W2008486322 @default.
• W2015145341 hasRelatedWork W2016150009 @default.
• W2015145341 hasRelatedWork W2051415155 @default.
• W2015145341 hasRelatedWork W2076577251 @default.
• W2015145341 hasRelatedWork W2078987483 @default.
• W2015145341 hasRelatedWork W2129769013 @default.
• W2015145341 hasRelatedWork W629824820 @default.
• W2015145341 hasRelatedWork W3151493211 @default.
• W2015145341 hasVolume "10" @default.
• W2015145341 isParatext "false" @default.
• W2015145341 isRetracted "false" @default.
• W2015145341 magId "2015145341" @default.
• W2015145341 workType "article" @default.