Open type coaxial sensor. Integral equation of the electric field in the aperture plane

Authors

  • Liu Chang Heilongjiang Bayi Agricultural University, China
  • A. Yu. Panchenko Kharkiv National University of Radioelectronics, Ukraine
  • N. I. Slipchenko Kharkiv National University of Radioelectronics, Ukraine
  • O. B. Zaichenko Kharkiv National University of Radioelectronics, Ukraine

DOI:

https://doi.org/10.20535/RADAP.2017.69.11-16

Keywords:

Bessel functions, boundary conditions, eigenfunctions, Green's function

Abstract

Introduction. The open end of a coaxial line has good prospects of usage as a sensor for devices of flexi monitoring of parameters of materials in the microwave range. Its exact mathematical description requires the definition of the field in any section. Integral equation. A rigorous integral equation for the radial component of the electric field in the plane aperture is obtained. The technique of obtaining this equation is based on the method of partial areas and boundary conditions for magnetic components. The criteria of using the approximation of the given field and possibilities of the solution normalization are shown. Conclusions. The obtained technique can be distributed to solving problems a wide class of axissymmetric microwave devices. It is the basis of further analysis of their parameters and practical calculation. Information on the normalization summarize the results and will be useful in the selecting designs of sensors.

Author Biographies

Liu Chang, Heilongjiang Bayi Agricultural University

Liu Chang, PhD

A. Yu. Panchenko, Kharkiv National University of Radioelectronics

Panchenko A. Yu., Doctor of physical and mathematics sciences, Professor

N. I. Slipchenko, Kharkiv National University of Radioelectronics

Slipchenko N. I., Doctor of physical and mathematics sciences, Professor

O. B. Zaichenko, Kharkiv National University of Radioelectronics

Zaichenko O. B., candidate of engineering science

Published

2017-06-30

Issue

Section

Electrodynamics. Microwave devices. Antennas