Cutoff Wavelengths of Elliptical Metallic Waveguides

Efficient and Accurate Calculation of the Cutoff Wavenumbers of Coaxial Elliptical-Circular and Circular-Elliptical Metallic Waveguides

“…The closed-form solution requires to predefine the ratio and computes the and 's needed. One then simply applies the desired value of in (9) to calculate . On the other hand, the exact solution needs to predefine both and beforehand.…”

“…For the calculation of the OTM modes, the same formulas (7) and (8) are used with 's in place of 's. Gathering terms, the normalized cutoff wavenumbers can be obtained in closed form using the algebraic expression for modes; for modes (9) and respectively, for . In (9), are the cutoff wavenumbers of the coaxial circular waveguide, namely, the roots of the equation [19] ( 10) where and are Bessel and Neumann functions.…”

“…In [9], the authors derived closed-form expressions for the cutoff wavelengths of the single elliptical metallic waveguide, while in [10] closed-form expressions for the cutoff wavenumbers of elliptical dielectric waveguides were obtained. In [11], closed-form expressions were obtained for the simpler geometry of an eccentric circular metallic waveguide.…”

Analysis of cutoff wavelength of elliptical waveguide by regularized meshless method

“…In [3], Mei and Xu calculated the cutoff wavelength of the dominant mode in elliptical waveguide by the transverse resonance technique. Tsogkas et al [4] provided the exact closed-form algebraic expressions of cutoff wavelength for elliptical metallic waveguide with small values of eccentricity. In [5], Shu analyzed the elliptical waveguides with arbitrary ellipticity by the differential quadrature method, which combines with the coordinate transform to deal with the elliptical shape boundary.…”

Oblique scattering/hybrid wave propagation in elliptical homogeneous configurations & spectrum/preconditioning of the singular domain integral equation

“…This also leads to the fact that the cutoff wavenumbers are safely separated each other, at least by 0:2, in the case where 1 = 2 D 2:56, since, the larger the contrast between the core and the cladding permittivity, the larger the separation between the modes. This is why we notice a change in the order between lines No 7 and 8 in Tables 2.3 This behaviour appeared also in the TE e1n and TE o1n (n > 1) modes of the elliptical metallic waveguide [71].…”