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Diffraction of a Dipole Field by a Perfectly Conducting Half Plane

dc.contributor.authorBowman, J. J.en_US
dc.contributor.authorSenior, T. B. A.en_US
dc.date.accessioned2015-12-03T15:04:12Z
dc.date.available2015-12-03T15:04:12Z
dc.date.issued1967-11en_US
dc.identifier.citationBowman, J. J.; Senior, T. B. A. (1967). "Diffraction of a Dipole Field by a Perfectly Conducting Half Plane." Radio Science 2(11): 1339-1345.en_US
dc.identifier.issn0048-6604en_US
dc.identifier.issn1944-799Xen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/116080
dc.publisherThe Macmillan Co.en_US
dc.publisherWiley Periodicals, Inc.en_US
dc.titleDiffraction of a Dipole Field by a Perfectly Conducting Half Planeen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelElectrical Engineeringen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumRadiation Laboratory, Department of Electrical Engineering, University of Michigan, Ann Arbor, Mich. 48108, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/116080/1/rds19672111339.pdf
dc.identifier.doi10.1002/rds19672111339en_US
dc.identifier.sourceRadio Scienceen_US
dc.identifier.citedreferenceBromwich, T. J. I'A. ( 1915 ), Diffraction of waves by a wedge, Proc. London Math. Soc. 14, 450 – 463.en_US
dc.identifier.citedreferenceCarslaw, H. S. ( 1899 ), Some multiform solutions of the partial differential equations of physical mathematics and their applications, Proc. London Math. Soc. 30, 121 – 161.en_US
dc.identifier.citedreferenceFelsen, L. B. ( 1957 ), Alternative field representations in regions bounded by spheres, cones and planes, IRE Trans. Ant. Prop. AP‐ 5, No. 1, 109 – 121. Note that in eq (54) the componets and must be evaluated at the source point.en_US
dc.identifier.citedreferenceJones, D. S. ( 1964 ), The Theory of Electromagnetism ( The Macmillan Co., New York, N.Y. ). The scalar point‐source solutions on pp. 592 and 593 are in error by a factor k. This error carries over to the dipole solutions on p. 594. The “additional” terms in the expression for B are also in error by a factor 4π.en_US
dc.identifier.citedreferenceMacdonald, H. M. ( 1915 ), A class of diffraction problems, Proc. London Math. Soc. 14, 410 ‐ 427.en_US
dc.identifier.citedreferenceMalyuzhinets, G. D., and A. A. Tuzhilin ( 1963 ), The electromagnetic field excited by an electric dipole in a wedge‐shaped region, Soviet Phys. Doklady 7, No. 10, 879–882. English translation of Dokl. Akad. Nauk SSSR 146, No. 5, 1039 – 1042 (1962).In eq (8), replace − 2Ψ by 2Ψ.en_US
dc.identifier.citedreferenceSenior, T. B. A. ( 1953 ), The diffraction of a dipole field by a perfectly conducting half plane, Quart. J. Mech. Appl. Math. 6, 101 – 114.en_US
dc.identifier.citedreferenceStratton, J. A. ( 1941 ), Electromagnetic Theory ( McGraw‐Hill Book Co., Inc., New York, N.Y. ).en_US
dc.identifier.citedreferenceTai, C. T. ( 1954 ), Radiation from current elements and apertures in the presence of a perfectly conducting half‐plane sheet, Stanford Univ. Res. Inst. Tech. Rept. No. 45, Stanford Univ., Stanford, Calif.en_US
dc.identifier.citedreferenceTilston, W. V. (Oct. 1952 ), Contributions to the theory of antennas, Tech. Rept., Antenna Lab., Dept. Elec. Eng., Univ. of Toronto, Toronto, Ontario. Due to normalization errors in both the θ and ϕ integrations, a factor 2π/ ϕ 0 is omitted and should bereplaced by throughout. Further, mB sin. should read whenever it appears (pp. 32,33, 37). On the same pages replace C by − C and on pp. 36, 37 replace A, B, C, by −A, −B, −C, respectively. In eq (3.48),multiply the right‐hand side by −1, and in eq (3.59) divide the summand by n !.en_US
dc.identifier.citedreferenceTuzhilin, A. A. ( 1964 ), Short‐wave asymptotic representation of electromagnetic diffraction fields produced by arbitrarilyoriented dipoles in a wedge‐shaped region with ideally conducting sides, Annotation of reports of Third All‐Union Symp. on Wave Diffraction, Acad. Sci. USSR, 93‐95 (in Russian). In the line following eq (8), replace ϕ by θ. The integral in eq (10) should be multiplied by sgn ( β −4 n Φ). In eq (14) replace ϕ n by 4 n, and in the line following, the first should read.en_US
dc.identifier.citedreferenceWilliams, W. E. ( 1957 ), A note on the diffraction of a dipole field by a half plane, Quart. J. Mech. Appl. Math. 10, 210 – 213.en_US
dc.identifier.citedreferenceWoods, B. D. ( 1957 ), The diffraction of a dipole field by a half plane, Quart. J. Mech. Appl. Math. 10, 90 – 100.en_US
dc.identifier.citedreferenceThe solutions given are correct if the scalar point sources are defined in terms of a Hertz potential ( kR ) −1 e −ikR, not R −1 e −ikR as indicated.en_US
dc.identifier.citedreferenceVandakurov, Y. V. ( 1954 ), Diffraction of electromagnetic waves by an arbitrarily‐oriented electric or magnetic dipole on a perfectly conducting half plane, Zh. Eksp. Teor. Fiz. 26, 3 − 18 (in Russian).en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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