# APPLICATION OF CAUCHY INTEGRAL TO APPROXIMATE THE FIELD COMPONENTS AND CURRENT IN METAL & DIELECTRICAL POLYGONS - Method of the Field (Current) Restoration Inside and Outside Flat Closed Contour based on Its Known Values at the Contour

### A. V. Ashikhmin, Yu. G. Pasternak, S. L. Podvalny, Yu. A. Rembovsky

#### 2007

#### Abstract

The Cauchy integral was proposed as a means to approximate the field components and current in metal and dielectrical polygons. The report illustrates that such a technique can significantly scale down electromagnetic issues solved in spatial- frequency domain. The technique also makes it possible to evaluate the strength of electromagnetic field not only inside the considered closed contour, but outside it even in case when there is no a prior information about object configuration and its physical characteristics.

#### References

- Mittra, R., Computer Techniques for Electromagnetics, Moscow, MIR Publishers, 1977.
- Milan, M., Ilic, Branislav, M., Notaros. Higher Order Large-Domain Hierarchical FEM Technique For Electromagnetic Modeling Using Legendre Basis Functions On Generalized Hexahedra, Revised paper for Electromagnetics, February 11, 2006 www.bnotaros.umassd.edu.
- Privalov, I., I., Introduction to Complex Variable Functionsâ€ť Moscow, Nauka Publishers, 1984.
- Bakhvalov, N., S., Zhidkov, N., P., Kobelkov; G., M., Numerical Methods, Moscow, Nauka Publishers, 1987.

#### Paper Citation

#### in Harvard Style

V. Ashikhmin A., G. Pasternak Y., L. Podvalny S. and A. Rembovsky Y. (2007). **APPLICATION OF CAUCHY INTEGRAL TO APPROXIMATE THE FIELD COMPONENTS AND CURRENT IN METAL & DIELECTRICAL POLYGONS - Method of the Field (Current) Restoration Inside and Outside Flat Closed Contour based on Its Known Values at the Contour** . In *Proceedings of the Second International Conference on Wireless Information Networks and Systems - Volume 1: WINSYS, (ICETE 2007)* ISBN 978-989-8111-14-2, pages 153-156. DOI: 10.5220/0002144901530156

#### in Bibtex Style

@conference{winsys07,

author={A. V. Ashikhmin and Yu. G. Pasternak and S. L. Podvalny and Yu. A. Rembovsky},

title={APPLICATION OF CAUCHY INTEGRAL TO APPROXIMATE THE FIELD COMPONENTS AND CURRENT IN METAL & DIELECTRICAL POLYGONS - Method of the Field (Current) Restoration Inside and Outside Flat Closed Contour based on Its Known Values at the Contour},

booktitle={Proceedings of the Second International Conference on Wireless Information Networks and Systems - Volume 1: WINSYS, (ICETE 2007)},

year={2007},

pages={153-156},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002144901530156},

isbn={978-989-8111-14-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Wireless Information Networks and Systems - Volume 1: WINSYS, (ICETE 2007)

TI - APPLICATION OF CAUCHY INTEGRAL TO APPROXIMATE THE FIELD COMPONENTS AND CURRENT IN METAL & DIELECTRICAL POLYGONS - Method of the Field (Current) Restoration Inside and Outside Flat Closed Contour based on Its Known Values at the Contour

SN - 978-989-8111-14-2

AU - V. Ashikhmin A.

AU - G. Pasternak Y.

AU - L. Podvalny S.

AU - A. Rembovsky Y.

PY - 2007

SP - 153

EP - 156

DO - 10.5220/0002144901530156