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7rkh 7rkr amplitudes Barrow and Chu Bejkx characteristic impedance complex power conductance G constant parameters corresponds current waves cylindrical coordinate system derived differential equations electric and magnetic electromagnetic energy stored equal to zero equations for voltage exponential time dependence function of frequency fundamental transmission line G are small G zero Hankel functions impedance matching inductance ju(RC jw(RC Lawrence Radiation Laboratory line parameters magnetic energy densities magnetic fields Maxwell's equations meter negative r direction Neumann functions nonuniform line PARALLEL PLATE TRANSMISSION permittivity phase velocity PLATE TRANSMISSION LINE problem propagation number purely real ratio reactance reactive component reactive for small rectangular parallel plate reflected wave resistance sectorial line SECTORIAL PARALLEL PLATE sectorial transmission line skin depth solve theorem total voltage transmission line equations TRANSMISSION LINE Robert variable parameters vector voltage and current voltage to total w2LC wave impedance wave moving wave propagating