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ISSN 0474-8662. Information Extraction and Processing. 2019. Issue 47 (123)
Electromagnetic field of the circular magnetic current located in a semi-infinite biconical section
Sharabura O. M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
https://doi.org/10.15407/vidbir2019.47.020
Keywords: analytical regularization; rigorous solution; truncated cone
Cite as: Sharabura O. M. Electromagnetic field of the circular magnetic current located in a semi-infinite biconical section. Information Extraction and Processing. 2019, 47(123), 20-25. DOI:https://doi.org/10.15407/vidbir2019.47.020
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Abstract
The Fourier integral transform is used to reduce the diffraction problem of the normal SH-wave on a semi-infinite rigid inclusion in elastic layer to the Wiener Hopf equation. Its solution is obtained by the factorization method. The analytical expressions of the diffracted displacement fields are represented in any region of interest. The dependences of the scattered field on the parameters of the structure are given. The properties of identification of the inclusion type defect in the plane layer are illustrated.
References
1. Lodge, O. J. Electric telegraphy, US 609,154, August 16, 1898.
2. Schelkunoff, S. A. Theory of antennas of arbitrary size and shape. Proc. IRE. 1941, 29, 493-521.
https://doi.org/10.1109/JRPROC.1941.231669
3. Schelkunoff, S. A. General theory of symmetric biconical antennas. J. Appl. Phys. 1951, 22, 1330-1332.
https://doi.org/10.1063/1.1699861
4. Papas, C. H., King, R. W. Input impedance of wide-angle conical antennas fed by a coaxial line. Poc. IRE, 1949, 37, 1269-1271.
https://doi.org/10.1109/JRPROC.1949.234607
5. Papas, C. H., King, R. W. Radiation from wide-angle conical antennas fed by a coaxial Line. Proc. IRE, 1951, 39, 49-51.
https://doi.org/10.1109/JRPROC.1951.230420
6. Pridmore-Brown, D. C. A Wiener-Hopf solution of a radiation problem in conical geometry. J. Math. Phys., 1968, 47, 79-94.
https://doi.org/10.1002/sapm196847179
7. Goshin, G. G. Electrodynamics Value Boundary Problems for Conical Regions, Izdatelstvo Tomsk Univ: Tomsk, 1987. (in Russian).
8. Bevensee, R. M. Handbook of conical antennas and scatterers. Gordon and Breach Science Publishers: New-York, 1973.
9. Kuryliak, D. B., Nazarchuk, Z. T., One conical waveguide bifurcation problem, Technical Report of Electromagnetic Theory, Institute of Electrical Engineers of Japan, No. EMT9750, 5156, 1997.
10. Kuryliak, D. B. Wave diffraction from bifurcation of the conical region. Izvestiya Vuzov. Radioelectronika. 1998, 41, 13-22. (in Russian).
11. Kuryliak, D. B., Nazarchuk, Z. T. Analytical-numerical Methods in the Theory of Wave Diffraction on Conical and Wedge-shaped Surfaces, Naukova Dumka: Kyiv, 2006.(in Ukrainian).
12. Kuryliak, D. B., Sharabura, O. M. Diffraction of axially-symmetric TM-wave from Bi-cone formed by finite and semi-infinite shoulders. Progress In Electromagnetics Research B. 2016, 68, 73-88.
https://doi.org/10.2528/PIERB16041302