Quasi-TM Transmission Line Parameters of Coupled Lossy Lines Based on the Dirichlet to Neumann Boundary Operator

2011 IEEE 20th Conference on Electrical Performance of Electronic Packaging and Systems

Deschrijver

et al. 2011

Abstract-A multivariate macromodel of the per unit length parameters of an inverted embedded microstrip line is built starting from a limited number of highly accurate but computationally expensive electromagnetic simulations. Besides the frequency dependency, the macromodel also encompasses the influence of a geometrical parameter that determines the shape of the cross-section of the metallic interconnect. This allows to assess the influence of the etching process through a variability analysis of the interconnect's behavior in both frequency and time domain. The analysis is carried out via a robust Monte Carlo approach, which has been made computationally feasible thanks to the macromodeling step.

“…parameters R, L, G, and C of the IEM line shown in Fig. 1, the technique presented in [2], [3] is used. This technique adopts a quasi-TM behavior of the fields.…”

Section: A 2-d Em Rlgc Modelingmentioning

confidence: 99%

“…resistance (R), inductance (L), conductance (G) and inductance (L) parameters. This frequency-dependent RLGC-behavior is determined using a very accurate, but slow, 2-D electromagnetic (EM) solver [2], [3]. Next, a multivariate macromodel [4] is built, taking the frequency-dependent behavior and also the effect of the etching into account.…”

Section: Introductionmentioning

confidence: 99%

Macromodeling based variability analysis of an inverted embedded microstrip line

Ginste

2011 IEEE 20th Conference on Electrical Performance of Electronic Packaging and Systems

Deschrijver

et al. 2011

“…To model the structures described in the previous section, the techniques presented in [2][3][4] are used. For the single transmission line of Fig.…”

Section: Rlgc(f) Modelingmentioning

confidence: 99%

“…resistance (R), capacitance (C), inductance (L), and conductance (G) matrix. In recent literature, accurate modeling techniques are described that allow the computation of this RLGC(f)-data, as a function of frequency, for conductors with a finite conductivity, residing in layered media that may encompass doped substrates (semiconductors), and that have a rectangular [2] or trapezoidal [3] cross-section. These techniques makes use of the Dirichlet to Neumann (DtN) boundary operator.…”

Section: Introductionmentioning

confidence: 99%

Influence of the trapezoidal cross-section of single and coupled inverted embedded microstrip lines on signal integrity

Ginste

2011 XXXth URSI General Assembly and Scientific Symposium

2011

The influence of the shape of the cross-section of metallic conductors on the signal integrity (SI) behavior of on-chip interconnects is investigated. It is shown that, thanks to an advanced modeling technique based on the use of the Dirichlet to Neumann boundary operator, this influence can and must be accurately predicted. As a case study, a single inverted embedded microstrip (IEM) line and a pair of coupled IEM lines are considered. These structures are first described in terms of their per unit length (p.u.l.) resistance, inductance, capacitance, and conductance transmission line parameters. Second, a signal integrity study of such interconnects is performed in terms of time domain transmission (TDT) eye diagrams and crosstalk.

“…The conductor losses can even become dominant for narrow strip configurations [5]. In [6] this quasi-TM analysis is extended to multiconductor lines in the presence of a semiconducting substrate.…”

Section: Introductionmentioning

confidence: 99%

Construction of the Dirichlet to Neumann Boundary Operator for Triangles and Applications in the Analysis of Polygonal Conductors

Demeester

IEEE Trans. Microwave Theory Techn.

2010

Self Cite

Abstract-This paper introduces a fast and accurate method to investigate the broadband inductive and resistive behavior of conductors with a non-rectangular cross-section. The presented Iterative Combined Waveguide Modes (ICWM) algorithm leads to an expansion of the longitudinal electric field inside a triangle, using a combination of parallel-plate waveguide modes in three directions, each perpendicular to one of the triangle sides. This expansion is used to calculate the triangle's Dirichlet to Neumann boundary operator. Subsequently, any polygonal conductor can be modeled as a combination of triangles. The method is especially useful to investigate current crowding effects near sharp conductor corners. In a number of numerical examples, the accuracy of the ICWM algorithm is investigated, and the method is applied to some polygonal conductor configurations.Index Terms-Dirichlet to Neumann operator, iterative combined waveguide modes algorithm, triangle, polygonal conductor, skin effect, quasi-TM approximations.