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Taper analysis with horn modes
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absolute value according to eqn according to Fig analysis approximation assume backward travelling calculated characteristic characteristic impedance complete power transfer components consider corresponding coupled modes coupled wave equations coupling coefficients coupling distribution function coupling factors coupling region coupling section cross-section Curve cutoff cylindrical modes cylindrical waveguide denotes dielectric waveguides electric field evaluate evanescent field distribution flare angle follows from eqn forward and backward frequency fundamental mode given guided modes higher-order modes horn modes horn waves incident integration interaction linear taper longitudinal lossless main spurious mode matching section Maxwell's equations mode amplitude mode conversion mode coupling monomode nonuniform waveguide normal mode fields normalised obtain optical waveguides parameter permittivity phase constants plane propagation constant radiation modes rectangular waveguide reflection coefficient respect round waveguide solution TE-modes transducer uniform horn unwanted modes vector wanted mode wave admittances wave amplitudes wave impedance wave number waveguide tapers waveguide transitions zero