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

Main Article Content

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


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.


Download data is not yet available.

Article Details

How to Cite
Karacuha, K., Veliyev, E. I., 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.
Research Articles


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

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

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

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

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

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

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

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

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

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

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