Radiation characteristics of dielectric tube antennas
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...The design efforts are focused on those HE/EH modes, because radially symmetric TE/TM-modes H/E are not suitable to design highly directive single-beam endfire antennas [19], as well as the dominant mode coupling from the fundamental TE HE mode into higher order modes is limited to hybrid noncylindrical symmetric HE/EH modes within metallo-dielectric or purely dielectric waveguide tapers, respectively [12], [20]–[22]....
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"Radiation characteristics of dielec..." refers methods in this paper
...... the dielectric tube is chosen large enough to allow multiple mode propagation, The antenna is analyzed by formulating the characteristic equations for hybrid (HE,,, EH,,) and pure TE,, and TM,, modes to obtain the eigenvalues of the propagating modes, and then integrating the transverse fields over the aperture from r = 0 to using the vector Kirchoff formula [ 51 . Thus it is assumed that radiation occurs only from the end of the tube [ 4 ]....
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