Matches in SemOpenAlex for { <https://semopenalex.org/work/W2054909225> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2054909225 endingPage "1432" @default.
- W2054909225 startingPage "1423" @default.
- W2054909225 abstract "The diffraction of a scalar plane wave by an aperture in an infinite plane screen is examined theoretically. The wave function at an arbitrary point of space is expressed in terms of the discontinuity in its normal derivative at the screen, where the boundary condition is that of vanishing wave function. An integral equation for the discontinuity in normal derivative (or the residual function which measures its deviation from the simple distribution appropriate to a completely infinite screen) is the result of applying the boundary condition to the space wave function. Utilizing the integral equation (whose solution is generally unobtainable), the diffracted spherical wave amplitude at large distances from the aperture is cast into a form which is stationary with respect to small variations (relative to the correct values) of the residual functions arising from a pair of incident waves. An homogeneous expression for the amplitude is exhibited wherein the part independent of the residual functions defines a Kirchoff approximation. The connection with another stationary form of the amplitude, involving a pair of aperture wave functions, is examined. A variational expression for the plane wave transmission cross section of the aperture is based on the amplitude observed in the direction of incidence. The variational formulation is applied for a wave incident normally on a circular aperture. By comparison with the exact results available for this problem, it appears that use of simple residual functions in the variational formulation yields approximate, yet accurate expressions for the diffracted amplitude and transmission cross section over a wide range of frequencies." @default.
- W2054909225 created "2016-06-24" @default.
- W2054909225 creator A5047196059 @default.
- W2054909225 creator A5088438810 @default.
- W2054909225 date "1949-05-01" @default.
- W2054909225 modified "2023-10-18" @default.
- W2054909225 title "On the Theory of Diffraction by an Aperture in an Infinite Plane Screen. II." @default.
- W2054909225 cites W4246464515 @default.
- W2054909225 doi "https://doi.org/10.1103/physrev.75.1423" @default.
- W2054909225 hasPublicationYear "1949" @default.
- W2054909225 type Work @default.
- W2054909225 sameAs 2054909225 @default.
- W2054909225 citedByCount "120" @default.
- W2054909225 countsByYear W20549092252012 @default.
- W2054909225 countsByYear W20549092252013 @default.
- W2054909225 countsByYear W20549092252015 @default.
- W2054909225 countsByYear W20549092252017 @default.
- W2054909225 countsByYear W20549092252018 @default.
- W2054909225 countsByYear W20549092252019 @default.
- W2054909225 countsByYear W20549092252020 @default.
- W2054909225 countsByYear W20549092252021 @default.
- W2054909225 countsByYear W20549092252022 @default.
- W2054909225 countsByYear W20549092252023 @default.
- W2054909225 crossrefType "journal-article" @default.
- W2054909225 hasAuthorship W2054909225A5047196059 @default.
- W2054909225 hasAuthorship W2054909225A5088438810 @default.
- W2054909225 hasConcept C11413529 @default.
- W2054909225 hasConcept C120665830 @default.
- W2054909225 hasConcept C121332964 @default.
- W2054909225 hasConcept C134306372 @default.
- W2054909225 hasConcept C155512373 @default.
- W2054909225 hasConcept C17825722 @default.
- W2054909225 hasConcept C180205008 @default.
- W2054909225 hasConcept C207114421 @default.
- W2054909225 hasConcept C24890656 @default.
- W2054909225 hasConcept C2524010 @default.
- W2054909225 hasConcept C27016315 @default.
- W2054909225 hasConcept C2777042112 @default.
- W2054909225 hasConcept C33923547 @default.
- W2054909225 hasConcept C40308292 @default.
- W2054909225 hasConcept C57691317 @default.
- W2054909225 hasConcept C78336883 @default.
- W2054909225 hasConceptScore W2054909225C11413529 @default.
- W2054909225 hasConceptScore W2054909225C120665830 @default.
- W2054909225 hasConceptScore W2054909225C121332964 @default.
- W2054909225 hasConceptScore W2054909225C134306372 @default.
- W2054909225 hasConceptScore W2054909225C155512373 @default.
- W2054909225 hasConceptScore W2054909225C17825722 @default.
- W2054909225 hasConceptScore W2054909225C180205008 @default.
- W2054909225 hasConceptScore W2054909225C207114421 @default.
- W2054909225 hasConceptScore W2054909225C24890656 @default.
- W2054909225 hasConceptScore W2054909225C2524010 @default.
- W2054909225 hasConceptScore W2054909225C27016315 @default.
- W2054909225 hasConceptScore W2054909225C2777042112 @default.
- W2054909225 hasConceptScore W2054909225C33923547 @default.
- W2054909225 hasConceptScore W2054909225C40308292 @default.
- W2054909225 hasConceptScore W2054909225C57691317 @default.
- W2054909225 hasConceptScore W2054909225C78336883 @default.
- W2054909225 hasIssue "9" @default.
- W2054909225 hasLocation W20549092251 @default.
- W2054909225 hasOpenAccess W2054909225 @default.
- W2054909225 hasPrimaryLocation W20549092251 @default.
- W2054909225 hasRelatedWork W1551038681 @default.
- W2054909225 hasRelatedWork W1965169164 @default.
- W2054909225 hasRelatedWork W1969083826 @default.
- W2054909225 hasRelatedWork W2035375379 @default.
- W2054909225 hasRelatedWork W2040402255 @default.
- W2054909225 hasRelatedWork W2055518110 @default.
- W2054909225 hasRelatedWork W2078871245 @default.
- W2054909225 hasRelatedWork W2171172603 @default.
- W2054909225 hasRelatedWork W2378002549 @default.
- W2054909225 hasRelatedWork W4385832529 @default.
- W2054909225 hasVolume "75" @default.
- W2054909225 isParatext "false" @default.
- W2054909225 isRetracted "false" @default.
- W2054909225 magId "2054909225" @default.
- W2054909225 workType "article" @default.