Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere

Ivan Petoev-Darsavelidze; Vasili Tabatadze; Vakhtang Barbaqadze; Revaz Zaridze

doi:10.1109/DIPED.2019.8882629

Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere

Ivan Petoev-Darsavelidze, Vasili Tabatadze, Vakhtang Barbaqadze, Revaz Zaridze

Informatics Institute

Ivane Javakhishvili Tbilisi State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this article there is investigated the character of the singularities' distribution corresponding to the analytical continuation of the field reflected by the front part of the perfect electric conductor sphere illuminated by the electromagnetic waves point source. The analysis of these singularities show, that they represent the distorted image of the incident wave source and are distributed on the caustic surface. The discrete character of the singularities, when the ratio of the sphere radius and the incident wave length is finite, is explained by the Fresnel zone method. The numerical experiments performed to determine the scattered field's singularities confirm theoretical reasoning based on geometrical optics and Fresnel's zone method.

Original language	English
Title of host publication	2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings
Publisher	IEEE Computer Society
Pages	18-21
Number of pages	4
ISBN (Electronic)	9781728123899
DOIs	https://doi.org/10.1109/DIPED.2019.8882629
Publication status	Published - Sept 2019
Event	24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Lviv, Ukraine Duration: 12 Sept 2019 → 14 Sept 2019

Publication series

Name	Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
Volume	2019-September
ISSN (Print)	2165-3585
ISSN (Electronic)	2165-3593

Conference

Conference	24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019
Country/Territory	Ukraine
City	Lviv
Period	12/09/19 → 14/09/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Keywords

Caustic
Singularities
Sphere

Access to Document

10.1109/DIPED.2019.8882629

Cite this

Petoev-Darsavelidze, I., Tabatadze, V., Barbaqadze, V., & Zaridze, R. (2019). Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere. In 2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings (pp. 18-21). Article 8882629 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2019-September). IEEE Computer Society. https://doi.org/10.1109/DIPED.2019.8882629

Petoev-Darsavelidze, Ivan ; Tabatadze, Vasili ; Barbaqadze, Vakhtang et al. / Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere. 2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings. IEEE Computer Society, 2019. pp. 18-21 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

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abstract = "In this article there is investigated the character of the singularities' distribution corresponding to the analytical continuation of the field reflected by the front part of the perfect electric conductor sphere illuminated by the electromagnetic waves point source. The analysis of these singularities show, that they represent the distorted image of the incident wave source and are distributed on the caustic surface. The discrete character of the singularities, when the ratio of the sphere radius and the incident wave length is finite, is explained by the Fresnel zone method. The numerical experiments performed to determine the scattered field's singularities confirm theoretical reasoning based on geometrical optics and Fresnel's zone method.",

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Petoev-Darsavelidze, I, Tabatadze, V, Barbaqadze, V & Zaridze, R 2019, Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere. in 2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings., 8882629, Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, vol. 2019-September, IEEE Computer Society, pp. 18-21, 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019, Lviv, Ukraine, 12/09/19. https://doi.org/10.1109/DIPED.2019.8882629

Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere. / Petoev-Darsavelidze, Ivan; Tabatadze, Vasili; Barbaqadze, Vakhtang et al.
2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings. IEEE Computer Society, 2019. p. 18-21 8882629 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2019-September).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Petoev-Darsavelidze I, Tabatadze V, Barbaqadze V, Zaridze R. Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere. In 2019 24th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2019 - Proceedings. IEEE Computer Society. 2019. p. 18-21. 8882629. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED.2019.8882629

Singularities' Distribution of the Field's Analytical Continuation, Scattered by the Front Part of the Mirror Sphere

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Bibliographical note

Keywords

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