Analysis of Current Distributions and Radar Cross Sections of Line Source Scattering from Impedance Strip by Fractional Derivative Method

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K. Karacuha
E. I. Veliyev
V. Tabatadze
E. Karaçuha

Abstract

In this paper, we have studied the analysis of current distributions and radar cross sections of line source scattering from impedance strip. The problem was solved with fractional derivative method previously. Here, the specific case of fractional derivative method is investigated. The problem under consideration on the basis of various methods is studied well, however, they are mainly done by numerical methods. The fractional derivative method, allows an analytical solution in a specific situation. This method allows to obtain analytical solution of impedance strip for a special case which is fractional order  is equal to 0.5. When fractional order is 0.5, there is an analytical solution which is explained and current distribution, radar cross section and near field patterns are given in this paper. Here, as a first time, current distribution, bi-static radar cross section and near field for the upper and lower part of the strip are studied.

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How to Cite
Karacuha, K., Veliyev, E., Tabatadze, V., & Karaçuha, E. (2019). Analysis of Current Distributions and Radar Cross Sections of Line Source Scattering from Impedance Strip by Fractional Derivative Method. Advanced Electromagnetics, 8(2), 108-113. https://doi.org/10.7716/aem.v8i2.981
Section
Research Articles

References


  1. Bateman, H. & Erdelyi, A. (1953). Higher Transcendental Functions, Volume 2, McGraw-Hill, New York

  2. Oldham, K.B. & Spanier, J. (1974). The Fractional Calculus: Integrations and Differentiations of Arbitrary Order, Academic Press, New York

  3. Engheta, N. (2000). Fractional Paradigm in Electromagnetic Theory, a chapter in IEEE Press, chapter 12, pp.523-553

  4. Hilfer, R. (1999). Applications of Fractional Calculus in Physics, World Scientific Publishing, ISBN 981-0234-57-0, Singapore

  5. Veliyev, E. I., Karacuha, K., Karacuha, E., & Dur, O. (2018). The Use of the Fractional Derivatives Approach to Solve the Problem of Diffraction of a Cylindrical Wave on an Impedance Strip. Progress In Electromagnetics Research, 77, 19-25.
    View Article

  6. E. I. Veliev, K. Karaçuha, E. Karaçuha," Scattering of a Cylindrical Wave from an Impedance Strip by Using the Method of Fractional Derivatives" XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED),Tbilisi, Georgia, September 24-27, 2018
    View Article

  7. Balanis, C. A., Advanced Engineering Electromagnetic, Wiley, 1989.

  8. Veliev E. and N. Engheta. "Generalization of Green's Theorem with Fractional Differintegration". 2003 IEEE AP-S International Symposium & USNC/URSI National Radio Science Meeting, 2003

  9. E. I. Veliev, M. V. Ivakhnychenko, ve T. M. Ahmedov, "Fractional Boundary Conditions In Plane Waves Diffraction On A Strip," Progress In Electromagnetics Research, vol. 79, sf. 443-462, 2008.
    View Article

  10. M. V. Ivakhnychenko, E. I. Veliev, ve T. M. Ahmedov, "Scattering Properties Of The Strip With Fractional Boundary Conditions And Comparison With The Impedance Strip," Progress In Electromagnetics Research C, vol. 2, sf. 189-205, 2008.
    View Article

  11. Honl, H., A.; Maue, W. & Westpfahl, K. (1961). Theorie der Beugung, Springer-Verlag, Berlin