Abstract
A potential penetration into a circular aperture in a thick conducting plane has been studied in [2-3] due to its application in low-frequency field leakage problems. In this section we will study an electrostatic potential penetration into a circular aperture in a thick perfectly-conducting plane.
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References for Chapter 7
J. H. Lee and H. J. Eom, “Electrostatic potential through a circular aperture in a thick conducting plane,” IEEE Trans. Microwave Theory Tech., vol. 81, no. 12, pp. 341–343, Feb. 1996.
R. L. Gluckstern, R. Li, and R. K. Cooper, “Electric polarizability and magnetic susceptibility of small holes in a thin screen,” IEEE Trans. Microwave Theory Tech., vol. 38, no. 2, pp. 186–191, Feb. 1990.
R. L. Gluckstern and J. A. Diamond, “Penetration of fields through a circular hole in a wall of finite thickness,” IEEE Trans. Microwave Theory Tech, vol. 39, no. 2, pp. 274–279, Feb. 1991.
J. G. Lee and H. J. Eom, “Magnetostatic potential distribution through a circular aperture in a thick conducting plane,” IEEE Trans. Electromagn. Compat., vol. 40, no. 2, pp. 97–99, 1998.
K. F. Casey, “Low-frequency electromagnetic penetration of loaded apertures,” IEEE Trans. Electromagn. Compat., vol. 23, no. 4, pp. 367–377, Nov. 1981.
K. H. Jun and H. J. Eom, “Acoustic scattering from a circular aperture in a thick hard screen,” J. Acoust. Soc. Am., vol. 98, no. 4, pp. 2324–2327, Oct. 1995.
S. N. Karp and J. B. Keller, “Multiple diffraction by an aperture in a hard screen,” Optica Acta, vol. 8, pp. 61–72, Jan. 1961.
C. J. Bouwkamp, “Theoretical and numerical treatment of diffraction through a circular hole,” IEEE Trans. Antennas Propagat., vol. 18, no. 2, pp. 152–176, March 1970.
G. P. Wilson and W. W. Soroka, “Approximation to the diffraction of sound by a circular aperture in a rigid wall of finite thickness,” J. Acoust. Soc. Am., vol. 37, no. 2, pp. 286–297, Feb. 1965.
A. Roberts, “Electromagnetic theory of diffraction by a circular aperture in a thick, perfectly conducting screen,” J. Opt. Soc. Am. A., vol. 4, no. 10, pp. 1970–1983, Oct. 1987.
L. J. Palumbo and A. M. Platzck, “Diffraction by a circular aperture: a new approach,” J. Opt. Soc. Am. A., vol. 4, no. 5, pp. 839–842, May 1987.
K. Hongo, “Diffraction of an electromagnetic plane wave by circular disk and circular hole,” IEICE Trans. Electron., vol. E80-C, no. 11, pp. 1360–1366, Nov. 1997.
W. T. Cathey, Jr., “Approximate expressions for field penetration through circular apertures,” IEEE Trans. Electromagn. Compat., vol. 25, no. 3, pp. 339–345, Aug. 1983.
R. E. Collin, Field Theory of Guided Waves, New York, IEEE Press, Second Edition, Chapter 5 and pp. 121–123, 1991.
H. J. Eom, T. J. Park, and S. Kozaki, “A series solution for acoustic radiation from a flanged circular pipe,” Acustica, vol. 80, no. 3, pp. 315–316, May/June 1994.
W. E. Zorumski, “Generalized radiation impedances and reflection coefficients of circular and annular ducts,” J. Acoust. Soc. Am., vol. 54, no. 6, pp. 1667–1673, 1973.
J. S. Seo, H. J. Eom, and H. S. Lee, “Acoustic scattering from two circular apertures in a thick hard plane,” J. Acoust. Soc. Am., vol. 107, no. 5, Pt. 1, pp. 2338–2343, May 2000.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, New York, Dover Publications, p. 363, 1965.
J. S. Seo and H. J. Eom, “Acoustic scattering from flanged circular cylinders,” Acustica, vol. 86, no. 5, pp. 780–783, Sept./Oct. 2000.
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Eom, H.J. (2001). Circular Apertures in a Plane. In: Wave Scattering Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59487-8_7
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DOI: https://doi.org/10.1007/978-3-642-59487-8_7
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