Hybrid mode analysis of microstrip lines by the method of lines with pseudospectral discretization

Abstract

ABSTRACT:In this paper, the method of lines (MoLs)

Combining Pseudospectral Discretization With Method of Lines in Full-Wave Analysis of Cylindrical Microstrip

“…where diag denotes a diagonal matrix; T h is directly solved from the Equation (13) and the [T e ] is derived as follows [17]:…”

“…To break through this barrier in the modern precious and fast analysis, a lot of high-order discretization methods of the Helmholtz equation have been developed [9]. Recently, pseudospectral disctretization [14], famous for its high accuracy and high convergence rate, has been introduced into MoL in the non-hybrid mode of the hollow metallic waveguide [15] and hybrid mode of the planar microstrip structure [16,17].…”

“…Therefore, the solution accuracy for pseudospectral-based method of lines is highly improved [15][16][17]. Because only one dimension needs discretization for two-dimensional boundary values, the difficulties for pseudospectral method to treat irregular domain can also be partly avoided if it is combined with method of lines.…”

“…Because only one dimension needs discretization for two-dimensional boundary values, the difficulties for pseudospectral method to treat irregular domain can also be partly avoided if it is combined with method of lines. The eigenvalues of hollow metallic waveguide and planar microstrip structure have been analyzed [15][16][17] and the pseudospectral MoL exhibits an excellent convergence speed. In this paper, it is exploited for the hybrid mode analysis of cylindrical microstrip lines and our results demonstrate that the pseudospectral MoL (PMoL) has much faster convergence speed than the conventional MoL in terms of the required number of lines.…”