Manipulation of Surface Waves through Metasurfaces by Mario Junior Mencagli

Author:Mario Junior Mencagli
Language: eng
Format: epub, pdf
ISBN: 9783030140342
Publisher: Springer International Publishing

3.4 TE Dispersion Close to Its Cut-Off Frequency

In practical applications, one should work with TM mode only, avoiding possible excitation of TE mode. To this end, it is important to know the cut-off frequency of the TE mode and possibly an approximation of its dispersion equation. Proceeding as for TM mode, it is found that the resonant impedance of the TE mode is given by

(3.27)

where is the TE cut-off frequency given by

(3.28)

where is the quasi static capacitance for TE polarization. The approximation in (3.27) permits the calculation of the dispersion curve close to the TE cut-off as . The expression in (3.27) allows for finding the mono-modal region and the possible occurrence of a bandgap. The bandgap will be indeed present if , where is the frequency at which the cell-phasing of the TM SW-mode is .

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