A Closed-Form Formula for Dispersion Characteristics of Fundamental SIW Mode

Abstract

An accurate closed-form formula is derived from an analytical method to calculate dispersion properties of the substrate integrated waveguide (SIW). The derived equation which is a function of geometrical parameters is used to accurately estimate the cutoff frequency of the dominant mode at a low leakage condition. The unit cell of an SIW can be considered as two consecutive rectangular waveguide sections with the specific difference in their widths. The propagation constant is extracted by applying the Floquet theorem to the overall transmission matrix of the single unit cell. The proposed formula agrees well with numerical solutions as well as reported empirical equations in a wide range of structure parameters.Index Terms-Closed-form formula, propagation constant, substrate integrated waveguide (SIW), transmission matrix.

A Substrate Integrated Waveguide to Substrate Integrated Coaxial Line Transition

“…The fundamental mode of the SIW is TE 10 mode, and the dispersion characteristics are equivalent to those of a related rectangular waveguide with an equivalent width. We assume that the width between the two rows of metallic cylinders of the SIW is W , the diameter of metalized via hole is D, and the space between adjacent via hole is S. The equivalent width of the SIW is written as follows [22]:…”

Substrate-Integrated Waveguide PCB Leaky-Wave Antenna Design Providing Multiple Steerable Beams in the V-Band

“…In order to reduce dielectric losses, a thin laminate with a thickness of 0.254 mm was used, which also represents the height of the SIW [17]. The SIW is designed for a lower cutoff frequency of 40 GHz to allow single mode operation up to 80 GHz with a linear dispersion slope in the frequency range of interest between 50 and 70 GHz [16,18]. Based on the permittivity of the employed laminate of 2.2, this results in a width W of 2.6 mm between the via post walls.…”

Reconfigurable Siw Antenna Based on Rf-Mems Switches

“…So RF-MEMS actuators with novel SIW technology are good candidates to be replaced with solid phase shifters and microstrips, respectively. They provide advantages of fast actuation and integrated fabrication coupled with attractive options for low-cost high-frequency systems [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Reconfigurable RF-MEMS antennas were first introduced in 1998 by E. Brown and have been studied by several research groups with emphasizing in reconfigurability of aperture and microstrip antennas [12][13][14].…”

“…Reconfigurable RF-MEMS antennas were first introduced in 1998 by E. Brown and have been studied by several research groups with emphasizing in reconfigurability of aperture and microstrip antennas [12][13][14]. Also SIW possesses merits with respect to the conventional rectangular waveguide and has been widely implemented in microwave components and circuit designs [15][16][17][18][19][20][21][22][23][24][25][26].…”