Optimization of planar devices by the finite element method

Garcia, P.; Webb, J.P.

doi:10.1109/22.44155

Cited by 25 publications

(15 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such a rigorous analysis is very often based on an integral equation formulation, typically solved using the method of moments [6][7][8][9][10][11][12][13][14][15][16][17][18]. Some of these analyses use a transition matrix to incorporate the effect of laminated ground plane into integral equation formulation derived based on the electric surface current on the metal surface [2].…”

Section: Introductionmentioning

confidence: 99%

Full‐wave modelling of microstrip line and its sensitivities on lossy multilayer dielectric substrate and superstrate with laminated ground plane

Mayouf¹,

Djahli

Mayouf

2002

Int J Numerical Modelling

View full text Add to dashboard Cite

SUMMARYThis paper presents a new formulation useful for modelling multilayered microstrip and its geometrical sensitivities with laminated ground plane. New integral equations are formulated, in the spectral domain, using the exact dyadic Green's function of bianisotropic planar media. We have applied a dynamic twodimensional least-square algorithm as an optimization procedure. Obtained results agree well with those of other approaches.

show abstract

Section: Introductionmentioning

confidence: 99%

Full‐wave modelling of microstrip line and its sensitivities on lossy multilayer dielectric substrate and superstrate with laminated ground plane

Mayouf¹,

Djahli

Mayouf

2002

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

“…3(b)], we can express as (28) The substitution of (28) in (27) yields the sensitivity with respect to any of the design parameters as (29) We are at liberty to set . In the case of a reciprocal network, this makes the adjoint circuit identical to the original circuit.…”

Section: Response Sensitivity and Adjoint Excitationmentioning

confidence: 99%

“…This is due to the fact that the elements of the FEM system matrix are analytically differentiable with respect to the coordinates of the vertices of the finite-element mesh. This is why sensitivities have been first computed with FEM analysis in structural and electrical engineering (see, e.g., [29], [49], [55], and [56]). …”

Section: B Adjoint Sensitivities With the Femmentioning

confidence: 99%

“…In the microwave literature, we have seen only a few developments, which, until recently, almost exclusively addressed the finite-element method (FEM). Webb et al considered exact sensitivities with the FEM and developed element representations, which allow analytical derivatives of the FEM system matrix with respect to the Cartesian coordinates of the vertices of the finite-element mesh [29]- [34]. Another more specific application with the FEM was reported in [35].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adjoint Techniques for Sensitivity Analysis in High-Frequency Structure CAD

Nikolova

Bandler

Bakr

2004

IEEE Trans. Microwave Theory Techn.

102

View full text Add to dashboard Cite

Abstract-There is a revival of the interest in adjoint sensitivity analysis techniques. This is partly because current computer-aided-design software based on full-wave electromagnetic (EM) solvers remains too slow for the purposes of practical high-frequency structure design despite the increasing capacity of computers. The adjoint-variable methods for design sensitivity analysis offer computational speed and accuracy. They can be used for efficient gradient-based optimization, in tolerance and yield analysis. Adjoint-based sensitivity analysis for circuits has been well studied and extensively covered in the microwave literature. In comparison, sensitivities with full-wave analysis techniques have attracted little attention, and there have been few applications into feasible and versatile algorithms. We review adjoint-variable methods used in high-frequency structure design with both circuit analysis techniques and full-wave EM analysis techniques. A brief discussion on adjoint-based sensitivity analysis for nonlinear dynamic systems is also included.

show abstract

“…However, with the ever-increasing speed of computer processors, many methods take advantage of the advances in computational analysis [84,85,32,4,51].…”

Section: Chapter4 Optimizatiodmentioning

confidence: 99%