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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2015-02-19
Incomplete Bessel Polynomials: A New Class of Special Polynomials for Electromagnetics
By
Diego Caratelli,

    Dr. Diego Caratelli

    The Antenna Company Nederland B.V.

    The Netherlands

    Homepage

Galina Babur,

    Dr. Galina Babur

    Tomsk State University of Control Systems and Radio Electronics

    Russia

    Homepage

Alexander A. Shibelgut,

    Dr. Alexander A. Shibelgut

    Tomsk Univ Control Syst & Radioelect

    Russia

    Homepage

Oleg Stukach

    Dr. Oleg Stukach

    Tomsk Polytechnic University

    Russia

    Homepage

Progress In Electromagnetics Research M, Vol. 41, 85-93, 2015
doi:10.2528/PIERM14123104 | Google Scholar

Abstract
A new class of incomplete Bessel polynomials is introduced, and its application to the solution of electromagnetic problems regarding transient wave radiation phenomena in truncated spherical structures. The definition of said special functions is introduced, and the relevant analytical properties are derived. The definition is such that the interrelationships between the incomplete polynomials parallel, as far as is feasible, those for canonical Bessel polynomials.
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Citation
Diego Caratelli, Galina Babur, Alexander A. Shibelgut, and Oleg Stukach, "Incomplete Bessel Polynomials: A New Class of Special Polynomials for Electromagnetics," Progress In Electromagnetics Research M, Vol. 41, 85-93, 2015.
doi:10.2528/PIERM14123104
References

1. Andrews, G. E., R. Askey, and R. Roy, , Special Functions, 2001.
doi:10.1109/TAP.2004.835269

2. Cicchetti, R. and A. Faraone, "Incomplete Hankel and modified Bessel functions: A class of special functions for electromagnetics," IEEE Trans. Antennas Propag., Vol. 52, No. 12, 3373-3389, 2004.
doi:10.1109/TAP.2010.2055800        Google Scholar

3. Caratelli, D. and A. Yarovoy, "Unified time- and frequency-domain approach for accurate modeling of electromagnetic radiation processes in ultra-wideband antennas," IEEE Trans. Antennas Propagat., Vol. 58, No. 10, 3239-3255, 2010.        Google Scholar

4. Caratelli, D. and A. Yarovoy, "Incomplete modified spherical Bessel functions: a new class of special functions for electromagnetics," Proc. 20th International Symposium on Electromagnetic Theory, 289-292, Berlin, Germany, 2010.        Google Scholar

5. MacRobert, T. M. and I. N. Sneddon, Spherical Harmonics: An Elementary Treatise on Harmonic Functions with Applications, Pergamon Press, 1967.

6. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover, 1962.

7. Watson, G. N., A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, 1962.

8. Luke, Y., The Special Functions and Their Approximations, Academic Press, 1969.
doi:10.1090/S0002-9947-1949-0028473-1

9. Krall, H. L. and O. Frink, "A new class of orthogonal polynomials: The Bessel polynomials," Trans. Amer. Math. Soc., Vol. 65, No. 1, 100-115, 1948.        Google Scholar

10. Grosswald, E., Bessel Polynomials (Lecture Notes in Mathematics), Springer-Verlag, 1978.

11. Thomson, W. E., "Delay networks having maximally flat frequency characteristics," Proc. IEE, Vol. 96, 487-490, Part III, 1949.
doi:10.1109/JSEN.2011.2117417        Google Scholar

12. Caratelli, D., A. Massaro, R. Cingolani, and A. Yarovoy, "Accurate time-domain modeling of reconfigurable antenna sensors for non-invasive melanoma skin cancer detection," IEEE Sensors J., Vol. 12, No. 3, 635-643, 2012.        Google Scholar

13. Taflove, A. and S. C. Hagness, Computational Electrodynamics: The Finite Difference Time Domain Method, Artech House, 2005.

14. Caratelli, D. and M. C. Viganó, "Analytical synthesis technique for linear uniform-amplitude sparse arrays," Radio Sci., 2011, 10.1029/2010RS004522.        Google Scholar

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