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Electromagnetic Waves Part 13

Tham khảo tài liệu 'electromagnetic waves part 13', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 410 Electromagnetic Waves 10 dB cm . The influence of the glass side faces can be neglected at the distance at least of the order of wavelength from the rod surface Eremenko Skresanov 2010 . Fig. 2. The schematic picture of dielectrometer differential measurement cavity the cross section of the cavity left and longitudinal section of one of the cavity cells right . 1- the differential cavity body 2 - the quartz cylinders 3 - the liquids 4 - the covers 5 - the overflow holes 6 - the drain holes 7- the temperature sensors 8 - the rectangular waveguide sections 9 - the round waveguides section filled with Teflon. We can obtain the complex permittivity values from the characteristic equation for the infinite rod in high loss medium Ganapolskii et al. 2009 J m g1a H m g2a if s1 J m g1a s2Hm g2a J rn gỉ - g2 2 11I -------- g1aJm g1a g2 aHm g2a JI g1aJm g1a g2 aHm g2a J k2 g1 g2 a4 1 where Jm x Hm x - Bessel and Hankel of the order of m and of the first kind g1 yỊk2s1ự1 - h2 g2 i k2s2iw2 - h2 k - the wave number in vacuum h - the longitudinal wave number s1 s js1 s2 s2 js2 - the complex permittivity of the rod and liquid respectively a - the radius of the rod ụ1 ụ2 -1 - the permeability of the rod and liquid. The typical relations between real and imaginary complex permittivity parts at our measurements are the following S1 S1 S1 S2 S1 S2 S2 S2 1 . 2 The ratio between the impedance of dielectric material of the rod and the liquid water solutions c yls Js2 is approximately equal to 0.5. We can obtain a set of complex roots hmn at definite operating frequency complex permittivity of liquid radius of the rod and its complex permittivity. The azimuth index m is equal to the number of half-wavelengths placed along azimuth coordinate p from 0 to 2 t the radial index n is equal to the number of half-wavelengths placed along radial coordinate inside the rod from 0 to r a. The Complex Permittivity Measurement of High Loss Liquids and its Application to Wine Analysis 411 analysis .