MODIFIED ELLIPTICAL COORDINATE SYSTEM FOR PROBLEMS OF MATHEMATICAL PHYSICS WITH ELLIPTICAL SYMMETRY CYLINDER

Authors

  • M. Popov Kyiv National Taras Shevchenko University, Ukraine
  • I. V. Zavislyak Kyiv National Taras Shevchenko University, Ukraine
  • G. P. Golovach Taras Shevchenko National University of Kyiv, Ukraine

DOI:

https://doi.org/10.15588/1607-3274-2009-2-3

Abstract

The original modified elliptical coordinate system is submitted, its properties are considered, useful relationships are given. It was suggested to use this coordinate system for mathematical physics problems with the symmetry of the elliptical cylinder, in particular for eigenwaves and eigen oscillations problems in waveguides and of elliptic cross-section resonators, the examples of application were demonstrated.

Author Biographies

M. Popov, Kyiv National Taras Shevchenko University

Postgraduate

I. V. Zavislyak, Kyiv National Taras Shevchenko University

Doctor of Physics and Mathematics, Professor

G. P. Golovach, Taras Shevchenko National University of Kyiv

PhD, Associate Professor

References

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Published

2024-09-25

How to Cite

Popov, M., Zavislyak, I. V., & Golovach, G. P. (2024). MODIFIED ELLIPTICAL COORDINATE SYSTEM FOR PROBLEMS OF MATHEMATICAL PHYSICS WITH ELLIPTICAL SYMMETRY CYLINDER. Radio Electronics, Computer Science, Control, (2), 16. https://doi.org/10.15588/1607-3274-2009-2-3

Issue

No. 2 (2009): Radio Electronics, Computer Science, Control

Section

Radiophysics

License

Copyright (c) 2014 М. О. Попов, І. В. Завісляк, Г. П. Головач

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