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On the application of symmetrization to the transmission of electromagnetic waves through small convex apertures of arbitrary shape

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Abstract

The transmission of an electromagnetic wave through a small aperture in a perfectly conducting screen is examined from the viewpoint of symmetrization.

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References

  1. L.W.Ricketts, J.E.Bridges, J.Miletta:EMP Radiation and Protective Techniques (John Wiley and Sons, New York 1976)

    Google Scholar 

  2. Lord Rayleigh: “On the passage of Waves through Apertures in Plane Screens, and Allied Problems”. Phil. Mag. XLIII, 259–272 (1897); also “On the Incidence of Aerial and Electric Waves upon Small Obstacles in the Form of Ellipsoids or Elliptic Cylinders, and on the Passage of Electric Waves through a Circular Aperture in a Conducting Screen”. Phil. Mag. XLIV, 28–52 (1897)

  3. H.A.Bethe: “Theory of Diffraction by Small Holes”. Phys. Rev.60, 163–182 (1942)

    MathSciNet  Google Scholar 

  4. C.J.Bouwkamp: “On Bethe's Theory of Diffraction by Small Holes”, Philips Res. Rep.5, 321–332 (1950); also “On the Diffraction of Electromagnetic Waves by Small Circular Disks and Holes”. Philips Res. Rep.5, 401–422 (1950)

    MathSciNet  Google Scholar 

  5. J.Meixner, W.Andrejewski: “Strenge Theorie der Beugung ebener elektromagnetischer Wellen der vollkommen leitenden ebenen Schirme”. Ann. Phys.7, 157–168 (1950)

    MathSciNet  Google Scholar 

  6. W.Andrejewski: “Die Beugung elektromagnetischer Wellen an der leitenden Kreisscheibe und der kreisförmigen Öffnung in leitenden ebenen Schirmen”. Z. Angew. Phys.5, 178–186 (1953)

    Google Scholar 

  7. H.Levine, J.Schwinger: “On the Theory of Electromagnetic Wave Diffraction by an Aperture in an Infinite Plane Conducting Screen” Commun. Pure Appl. Math.3, 355–391 (1950)

    MathSciNet  Google Scholar 

  8. F.E.Borgnis, C.H.Papas:Randwertprobleme der Mikrowellenphysik (Springer, Berlin 1955)

    MATH  Google Scholar 

  9. R.Fikhmanas, P.Fridberg: “Variational Estimate of Upper and Lower Bounds on the Coefficient of Polarizability in the Theory of Pinhole Diffraction”. Sov. Phys.-Doklady14, 1155–1157 (1970); also “Theory of Diffraction at Small Apertures. Computation of Upper and Lower Boundaries of the Polarizability Coefficients”. Radio Eng. Electron. Phys.18, 824–829 (1973)

    ADS  Google Scholar 

  10. G.Pólya, G.Szegö:Isoperimetric Inequalities in Mathematical Physics (Princeton Univ. Press, Princeton 1951); also “Inequalities for the Capacity of a Condenser”. Amer. J. Math.67, 1–32 (1945); L.E.Payne: “Isoperimetric Inequalities and their Application”. SIAM Review9, 453–487 (1967)

    MATH  Google Scholar 

  11. J.Maxwell (Ed.):The Scientific Papers of the Honorable Henry Cavendish, Vol. 1 (1897), reprinted by Cambridge Univ. Press, Cambridge (1921)

  12. Lord Rayleigh:The Theory of Sound, Vol. 2 (1896), reprinted by Dover New York (1945)

  13. See, for example, C.Montgomery, R.Dicke, E.Purcell:Principles of Microwave Circuits (McGraw Hill, New York 1948) or R.Collin:Field Theory of Guided Waves (McGraw Hill, New York 1960)

    Google Scholar 

  14. D.L.Jaggard: “Transmission Through One or More Small Apertures of Arbitrary Shape”. Calif. Inst. Tech. Antenna Lab. Tech. Rept. No. 83, Calif. Inst. of Tech. (May 1977)

  15. R.Latham: “Small Holes in Cable Shields”. EMP Interaction Note 118 (Sept. 1972)

  16. C.H.Papas: “An Application of Symmetrization to an EMP Shielding Problem”. Calif. Inst. Tech. Ant. Lab. Tech. Rept. No. 80, Calif. Inst. of Tech. (Dec. 1976)

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Authors and Affiliations

  1. Division of Engineering and Applied Science, California Institute of Technology, 91125, Pasadena, CA, USA

    D. L. Jaggard & C. H. Papas

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  1. D. L. Jaggard
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  2. C. H. Papas
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Jaggard, D.L., Papas, C.H. On the application of symmetrization to the transmission of electromagnetic waves through small convex apertures of arbitrary shape. Appl. Phys. 15, 21–25 (1978). https://doi.org/10.1007/BF00896885

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