Dispersion Characteristics of Arbitrary Periodic Structures with Rectangular Grooves |
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Authors: | Ioannis G Tigelis Jean-Yves Raguin Zisis C Ioannidis George P Latsas and Angelos J Amditis |
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Institution: | (1) Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Building V, Panepistimiopolis, Zografou, 157 84 Athens, Greece;(2) Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland;(3) Institute of Communication and Computer Systems, National Technical University of Athens, 9 Iroon Polytechniou Street, Zografou, 157 73 Athens, Greece |
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Abstract: | The dispersion characteristics of a circular cylindrical waveguide with periodic surface corrugations consisting of rectangular
grooves with smoothing are examined using the Space Harmonic Method (SHM). The whole structure is divided into two regions,
one describing the propagation volume and one inside the grooves. In the first region, the Floquet theorem is applicable and
the field distribution is expressed as a summation of spatial Bloch components, whereas in the second one an appropriate Fourier
expansion of standing waves is used. Applying the boundary conditions an infinite system of equations is obtained, which is
solved numerically by truncation. Several cases are considered, including the limiting cases of a sinusoidal and a rectangular
corrugation profile, to check the accuracy of the method proposed as well as its dependence on the corrugation profile. Numerical
results are presented only for transverse magnetic modes, although the formalism can be easily extended to include all kinds
of waves that can in principle propagate in such a structure. |
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Keywords: | Slow-wave structures Floquet theorem Rayleigh criterion Rectangular grooves with smooth edges |
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