Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Transient aspects of transition radiation

Authors: E. Ott and J. Shmoys
Journal: Quart. Appl. Math. 25 (1968), 377-398
DOI: https://doi.org/10.1090/qam/99874
MathSciNet review: QAM99874
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] F. G. Bass and V. M. Yakovenko, Theory of radiation from a charge passing through an electrically inhomogeneous medium, Soviet Physics Uspekhi 8, 420 (1965). [This is an extensive review article dealing with theoretical work on transition radiation.]
  • [2] I. M. Frank, Transition radiation and optical properties of matter, Soviet Physics Uspekhi 8, 729 (1966). [This is a review article dealing with experimental work on transition radiation.]
  • [3] L. B. Felsen, Transient solutions for a class of diffraction problems, Quart. Appl. Math. 23 (1965), 151–169. MR 0184554, https://doi.org/10.1090/S0033-569X-1965-0184554-1
  • [4] Balth. van der Pol and A. H. M. Levelt, On the propagation of a discontinuous electromagnetic wave, Nederl. Akad. Wetensch. Proc. Ser. A 63 = Indag. Math. 22 (1960), 254–265. MR 0122335
  • [5] C. L. Pekeris and Z. Alterman, Radiation resulting from an impulsive current in a vertical antenna placed on a dielectric ground, J. App. Physics 28, 1317 (1957)
  • [6] L. Cagniard, Reflection and refraction of progressive seismic waves, translated by E. Flinn and C. H. Dix, McGraw-Hill, New York, 1962. [This book is based on a series of papers published by Cagniard in the 1930's.]
  • [7] A. L. de Hoop, Representation theorems for the displacement in an elastic solid and their application to elastodynamic diffraction theory, Dissertation, University of Delft, The Netherlands, 1958
  • [8] Clifford S. Gardner and Joseph B. Keller, The field of a pulsed dipole in an interface, Comm. Pure Appl. Math. 15 (1962), 99–108. MR 0153281, https://doi.org/10.1002/cpa.3160150201
  • [9] V. M. Papadopoulos, A line source on an interface between two media, J. Fluid Mech. 8 (1960), 41–48. MR 0113469, https://doi.org/10.1017/S0022112060000396
  • [10] E. Ott and J. Shmoys, Transient fields created by a charge crossing a boundary between dielectrics, Polytechnic Institute of Brooklyn, Report PIBMRI-1312-66, March, 1966
  • [11] F. G. Friedlander, Sound pulses, Cambridge University Press, New York, 1958. MR 0097233
  • [12] Morris Kline and Irvin W. Kay, Electromagnetic theory and geometrical optics, Pure and Applied Mathematics, Vol. XII, Interscience Publishers John Wiley & Sons, Inc. New York-London-Sydn ey, 1965. MR 0180094

Additional Information

DOI: https://doi.org/10.1090/qam/99874
Article copyright: © Copyright 1968 American Mathematical Society

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