Abstract:In this paper, a new method-of-moments-based approach is proposed for the analysis of non-uniform lossy substrate integrated waveguides (SIW) transmission lines. The approach incorporates Chebyshev expansion in the frequency domain to compute the scattering parameter matrix of the line. To validate the proposed approach of non-uniform structures are analyzed where two of them have been fabricated and measured. The analytical and measured S parameters were compared to those obtained through electromagnetic fini… Show more
“…The picture of fabricated double slope linearly-tapered SIW is displayed in Fig. 9 11 . The geometrical and physical parameters of this structure are ε r = 3.66, tanδ = 0.0037, h = 0.254 mm, l = 44 mm, Z S = Z L = 50 Ω, d = 1 mm, S = 2 mm, W min = 10 mm, and W max = 20 mm.…”
Section: Resultsmentioning
confidence: 99%
“…In a SIW structure with a width of W , the width of its equivalent rectangular waveguide is approximated by Eqs. ( 22a ), ( 22b ), ( 22c ) and ( 22d ) 11 . Figure 9 The picture of fabricated linearly-tapered SIW 11 .…”
Section: Resultsmentioning
confidence: 99%
“…For example, per-unit-length impedance and admittance of a rectangular waveguide with height b and non-uniform width w ( x ) at its dominant TE 10 mode is found using Eqs. ( 17a ) and ( 17c ) 11 . in which γ is the propagating constant, and k is the free space wavenumber.…”
Section: Extension To Non-uniform Waveguidementioning
confidence: 98%
“…A few analytical methods are presented for the study of non-uniform TLs made by a particular profile, such as the TLs with the exponential 10 , linearly tapered 11 , and power-law 12 profiles. One classical method for analyzing a NUTL is segmenting the structure into a cascade of uniform sections 13 , 14 .…”
This paper presents a new technique for analyzing a non-uniform transmission line (NUTL). This method expands the differential equations of voltage and current as the slope functions. Then, differential equations are solved using the explicit Runge–Kutta technique with the fourth-order method with four stages. It is shown that the proposed method can be used not only for analyzing the NUTL but also for analyzing the no-uniform waveguides (NUWG). Additionally, it is shown that the sensitivity of the proposed method concerning the discretization error is suitable. Several theoretical and practical NUTLs and NUWG are investigated to verify the proposed method’s accuracy and advantages. The performance of the proposed method is compared with those obtained by the other popular techniques, such as uniform cascaded sections (UCS).
“…The picture of fabricated double slope linearly-tapered SIW is displayed in Fig. 9 11 . The geometrical and physical parameters of this structure are ε r = 3.66, tanδ = 0.0037, h = 0.254 mm, l = 44 mm, Z S = Z L = 50 Ω, d = 1 mm, S = 2 mm, W min = 10 mm, and W max = 20 mm.…”
Section: Resultsmentioning
confidence: 99%
“…In a SIW structure with a width of W , the width of its equivalent rectangular waveguide is approximated by Eqs. ( 22a ), ( 22b ), ( 22c ) and ( 22d ) 11 . Figure 9 The picture of fabricated linearly-tapered SIW 11 .…”
Section: Resultsmentioning
confidence: 99%
“…For example, per-unit-length impedance and admittance of a rectangular waveguide with height b and non-uniform width w ( x ) at its dominant TE 10 mode is found using Eqs. ( 17a ) and ( 17c ) 11 . in which γ is the propagating constant, and k is the free space wavenumber.…”
Section: Extension To Non-uniform Waveguidementioning
confidence: 98%
“…A few analytical methods are presented for the study of non-uniform TLs made by a particular profile, such as the TLs with the exponential 10 , linearly tapered 11 , and power-law 12 profiles. One classical method for analyzing a NUTL is segmenting the structure into a cascade of uniform sections 13 , 14 .…”
This paper presents a new technique for analyzing a non-uniform transmission line (NUTL). This method expands the differential equations of voltage and current as the slope functions. Then, differential equations are solved using the explicit Runge–Kutta technique with the fourth-order method with four stages. It is shown that the proposed method can be used not only for analyzing the NUTL but also for analyzing the no-uniform waveguides (NUWG). Additionally, it is shown that the sensitivity of the proposed method concerning the discretization error is suitable. Several theoretical and practical NUTLs and NUWG are investigated to verify the proposed method’s accuracy and advantages. The performance of the proposed method is compared with those obtained by the other popular techniques, such as uniform cascaded sections (UCS).
“…The dielectric permittivity, loss tangent, substrate thickness, length of substrate, load and source impedances, diameter of vias, distance between vias and the minimum and maximum width of SIW are 3.66, 0.0037, 0.254 mm, 44 mm, 50 Ω, 1, 2, 10, and 20 mm, respectively. In Figure 10, the synthesized results using the introduced method and measured data reported in reference 26 are compared. The accuracy of S 21 is very good.…”
Section: Results Verification and Discussionmentioning
The presented paper shows a new method for modeling of a physical system in a rational expression. The method is based on a hybrid combination of the conventional least square method (LSM) and a robust recursive procedure. In the first step of the method, a sampling function is employed to establish a system of linear equations. Then, the QR decomposition method and a very fast iterative technique are simultaneously used to determine the unknown parameters. Also, it is shown that by regarding a scalar gain parameter, the stability of the final model can be controlled. To verify the performance of the presented method, several theoretical and practical examples are examined and the obtained results are compared with the simulation and measurement data.
An analysis and design of a new slotted power divider/combiner (PDC) that utilises an oversized substrate‐integrated waveguide (OS‐SIW) is presented to enhance power handling capability (PHC). It is interesting to note that, the power capability tolerance can be increased by increasing the width of structure and thickness of the substrate, although it may introduce higher‐order modes. The paper is focused on improving PHC of PDC that propagates only the TE10 mode while preventing the propagation of higher‐order modes. Additionally, the PHC of the proposed structure is studied in detail. The air breakdown or the corona effect is a physical phenomenon that limits the Peak Power Handling Capability (PPHC) of a device. In slotted microwave components, the corona effect plays a crucial role in determining the PPHC, and it is closely related to environmental conditions such as pressure. Another limiting factor is self‐heating, which affects the device's Average Power Handling Capability (APHC). The slotted OS‐SIW PDC is designed on Rogers RO4003 laminate with 32mil thickness, offering a low profile with an overall OS‐SIW PDC area of 170 × 55 mm2. The measured results of the fabricated PDC showcase a range of desirable features. Moreover, the proposed structure in power divider mode exhibits significant improvements in APHC compared to those of the conventional Substrate‐Integrated Waveguides structures, with respective enhancements of approximately 8.26% at 10 GHz (with a Fractional Band Width of 58.3%). These advantages are highly beneficial and hold great potential.
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