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PROPERTIES OF COUPLED TRANSMISSION LINES
PROPERTIES OF SIMPLE 2nd ORDER COUPLED
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2x2 approximating 2x2 system algebraic approximating system axis Backward Wave Chapter characteristic impedance Circular Waveguide coefficients complex eigenvalues complex propagation constants components computed converge corresponding coupled transmission line critical frequencies cut-off frequency diagonal matrix dielectric dielectric rod eigen eigenvectors elements exists expansion expression finite Foster functions Foster matrices Fourier frequency domain behavior infinite matrix infinite number infinite system input impedance interpolation reduction lossless meromorphic negative number of TM open mapping theorem parameters partial differential equations permittivity poles port reduction positive definite proof properties quadratic forms Region of Complex residue matrices satisfy second order system secular equation shown smallest eigenvalue solutions submatrices symmetric TE-TE Telegraphists equations theorem TM lines TM-TE system transmission line system truncated Schelkunoff system truncated system values vectors voltages and currents waveguide propagation constants Y(jco YRED(p Z(jco