Open Access Open Access  Restricted Access Subscription Access

Exact solution to the transcendental equation in the waveguide method of investigation of dielectrics

A. Ye. Dubinov, S. K. Saikov


The analytical solution is obtained for a transcendental equation related to measurement of complex permittivity of solid and liquid substances when the measurement is performed by the waveguide method in the microwave range.

Full Text:



BRANDT, A.A. Investigation of Dielectrics at Microwave Frequencies [in Russian]. Moscow: GIFML, 1963.

BURNISTON, E.E.; SIEVERT, C.E. The use of Riemann problems in solving a class of transcendental equations. Math. Proc. Cambridge Philosophical Society, v.73, n.1, p.111-118, 1973. DOI:

LUCK, R.; STEVENS, J.W. Explicit solutions for transcendental equations. SIAM Rev., v.44, n.2, p.227-233, 2000. DOI:

MARKUSHIN, V.E.; ROSENFELDER, R.; SCHREIBER, A.W. The $W_t$ transcendental function and quantum mechanical applications. arXiv: math-ph/0104019v2, 10 Jan. 2003.



  • There are currently no refbacks.

© Radioelectronics and Communications Systems, 2004–2018
When you copy an active link to the material is required
ISSN 1934-8061 (Online), ISSN 0735-2727 (Print)
tel./fax +38044 204-82-31, 204-90-41