Analysis of microstrip lines in multilayer structures of arbitrarily varying thickness

Quasi-static analysis of microstrip lines with variation of substrate thickness in transverse direction

“…A comprehensive set of numerical results for the quasi-static PUL parameters will be given as functions of this parameter in order to illustrate its effect on the behavior of the propagation characteristics of this transmission line. Figures 3 and 4 show the variation of the Z L , the effective permittivity ( reff,stat ), the PUL C, and the L as a function of the shape of the dielectric layer with transversely varying thickness determined by the parameter u [7] and considering the following: r1 ϭ 10.185, r2 ϭ 1, W ϭ 0.01 mm, b ϭ 0.5 mm, and t ϭ 0.Comparisons show very good agreement with [17,18] for u ϭ 0 and with [8] for different values of u. From these results the very important conclusion can be drawn that the shape of this structure is an important parameter allowing the tuning of its characteristic impedance.…”

“…In contrast with other techniques where the singular behavior of the fields at the conducting edges leads to problems of convergence (e.g., relative convergence), the MoL always converges correctly [4,5]. This kind of microstrip structure has been treated recently by Dreher and Loffe [7], using the full wave approach and the discrete mode matching method, and by Khoulji and Essaaidi [8], using quasi-static analysis and the MoL, considering the finite metallization thickness lossless microstrip lines. In this latter article, only the characteristic impedance, the effective dielectric constant, and the per unit length (PUL) capacitance and inductance have been computed.…”

Planar monopole folded into a compact structure for very‐low‐profile multiband mobile‐phone antenna

“…The proposed antenna is folded into a rectangular-box-like structure and has a compact size of dimensions 6.5 ϫ 6 ϫ 25 mm 3 . With the inclusion of a 3-mm distance from the ground plane in practical applications, the proposed antenna has a very low profile of 9.5 mm only (less than 3% of the wavelength at 900 MHz).…”

“…Figures 4 and 5 show, respectively, the variation of the characteristic impedance (Z L ), the effective dielectric constant ( r eff,stat ), the normalized capacitance (C/ 0 ) and inductance (L/ 0 ) as a function of the shape of the dielectric layer determined by the parameter u [3] considering: r1 ϭ 10.185, r2 ϭ 1, W ϭ 0.01 mm, b ϭ 0.5 mm, and t ϭ 0. Comparison with [7] and [8] also shows good agreement for u ϭ 0.…”

Rigorous modeling of arbitrary conformal microstrip filters and spiral inductors using the FDTD method

“…Conformal microstrip structures such as transmission lines [1][2][3], antennas [4,5], and antenna arrays [6] have witnessed a huge amount of research work in recent years owing to their interesting features for several applications, in particular, to meet the increasing demand for smaller and more portable microwave and telecommunication equipments. For instance, a conformal array antenna for observation platforms in low-earth orbit (LEO) was found to have higher gain as compared to a passive fixed beam, capable of electronic scanning and offered high reliability with graceful degradation [6].…”