Abstract
A generalized approach to the effects of symmetry and periodicity on boundary-value problems is presented, especially as it pertains to the guiding structures encountered in electromagnetics. Several examples of structures and their dispersion behavior are given, and the theory predicts well that other authors claim.
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References
S. Aditya and R. K. Arora, “Guided waves on a Planar Helix,”IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-27, No. 10, October 1979, pp. 860–863.
K. J. Bunch, R. W. Grow, and J. M. Baird, “Backward-Wave Interactin Using Step Periodic Structures,”International Journal of Infrared and Millimeter Waves,” Vol. 9, No. 7, July 1988, pp. 609–629.
K. J. Bunch,Theoretical and Numerical Foundations of a Boundary-Residual Method For Solving Three-Dimensional Bopundary-Value Problems in Electromagnetics, Ph.D. Dissertation, Department of Electrical Engineering, University of Utah, Salt Lake City, Utah, March 1990.
W. N. Cain, “The Effects of Dielectric and Metal Loading on the Dispersion Characteristics for Contrawound Helix Circuits Used in High-Power Traveling-Wave Tubes,” Technical Report AFTER-30, Microwave Device and Physical Electronics Laboratory, Department of Electrical Engineering, University of Utah, Salt Lake City, Utah, May 18, 1988.
M. H. Chen,Electromagnetic Wave Propagation Characteristics of Periodic Structures with Screw Symmetry, Ph.D. Dissertation, Polytechnic Institute of Brooklyn, Brooklyn, New York, 1967.
P. J. Crepeau and P. R. McIsaac, “Consequences of Symmetry in Periodic Structures,”Proceedings of the IEEE, January 1964, pp. 33–43.
A. Hessel and A. A. Oliner, “Basic Properties of Periodic Waveguides with Glide Reflection Symmetry,”Proceedings of a Symposium held at Delft, The Netherlands, Pergamon Press, Oxford, England September 1965, pp. 251–260.
P. C. Waterman, “Symmetry, Unitarity, and Geometry in Electromagnetic Scattering,”Physics Review, Vol. 3, No. 4, February 1971, pp. 825–839.
D. A. Watkins,Topics in Electromagnetic Theory, John Wiley and Sons, New York, 1958.
S. Sensiper,Electromagnetic Wave Propagation on Helical, Conductors, D.S.C Dissertation, Massachsetts Institute of Technology, Cambridge, Massachusetts, 1951.
M. Chodorow and E. L. Chu, “Crosswound Twin Helices for Traveling-wave Tubes,”Journal of Applied Physics, Vol. 18, November 1947, pp. 996–1008.
G. N. Watson,A Treatise on the Theory of Bessel Functions, Second Edition, Cambridge University Press, London, England, 1948.
D. A. Watkins,Topics in Electromagnetic Theory, John Wiley & Sons, New York, 1958.
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Bunch, K.J., Grow, R.W. A unified approach to the effects of symmetry and periodicity on boundary-value problems. Int J Infrared Milli Waves 13, 229–250 (1992). https://doi.org/10.1007/BF01010656
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DOI: https://doi.org/10.1007/BF01010656