Abstract
The paper studies a possibility of simulation of artificial composite media with negative values of the real part of the equivalent dielectric (magnetic) permittivity, by the use of segments of hollow composite waveguides with cylindrical guided waves in evanescent mode. Reactive evanescent fields of wedge-shaped waveguide eigenmodes are formed in the evanescent region before the critical section of the waveguide which separates the quasistatic field region from the distributing field of the evanescent waveguide mode. The possibility of simulation is determined by the equivalence of dispersion equation of the eigenmode propagation constant and the dispersion equation for the electric (magnetic) permittivity of plasma-like medium if cut-off frequency and electric (magnetic) plasma frequency of the medium are equal.
Highlights
Developers of microwave devices and antennas have been attracted by metamaterials and their use in microwave engineering [1,2,3,4,5,6,7,8,9]
Waveguide sections operating in cutoff mode are used in combination with the above mentioned dipoles
Artificial composite medium proposed in [11] was made by placing a regular array of metallic posts between two parallel metallic plates
Summary
Developers of microwave devices and antennas have been attracted by metamaterials and their use in microwave engineering [1,2,3,4,5,6,7,8,9]. Considering that the dispersion relation (1) with account of (2) is identical of that of a lossless plasma medium model with plasma frequency fpe = fcr [10], a hollow metallic waveguide can be regarded as onedimensional plasma with respect to EM wave propagation along the axial direction of the waveguide. Considering that the dispersion relation (3) with account of (4) is identical of that of a lossless plasma medium model with plasma frequency fpm = fcr [14], a hollow metallic waveguide can be regarded as one-dimensional plasma with respect to EM wave propagation along the axial direction of the waveguide. In [14], the authors propose to simulate artificial medium with negative magnetic permeability by using a hollow square waveguide operating at frequencies below cutoff frequency of the lowest E11 mode of the Еmn eigenmode family. Let us consider a «E10» mode, for which EM field components are given by:
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