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

A. Ye. Dubinov, S. K. Saikov

Abstract


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.

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References


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

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LUCK, R.; STEVENS, J.W. Explicit solutions for transcendental equations. SIAM Rev., v.44, n.2, p.227-233, 2000. DOI: https://doi.org/10.1137/S0036144501386111.

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




DOI: https://doi.org/10.3103/S0735272705060105

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