Full-wave analysis of radiating planar resonators with the method of lines

Dreher, Achim; Pregla, R.

doi:10.1109/22.241676

Cited by 34 publications

(14 citation statements)

References 13 publications

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“…[19]) in the transformed domain. Z : Sparse impedance matrix relating the surface current density to the tangential electric field on a constant-surface (transformed domain).…”

Section: Appendix Bmentioning

confidence: 98%

“…Although MoL absorbing boundary conditions have been reported in the literature (18,19), their use in three dimensions seems impractical from a performance point of view. For this reason, the RF coils simulated by our approach are contained within a metal wall cylinder.…”

Section: Algorithmic Considerationsmentioning

confidence: 99%

“…To compute the fields at any depth point within the homogeneous layer, the relationship H t2 ϭ Ỹ Ẽ t2 , see [19], is first obtained. Then, the Y matrices of [19] are computed using the interface as the starting point (subscript of 1) and the desired depth as the endpoint (subscript of 2). The electric field at the desired depth is therefore…”

Section: Field Computationmentioning

confidence: 99%

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Analysis of high‐field RF coils using the method of lines

Bodganov

Ludwig

2003

Concepts Magn Reson

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ABSTRACT:The method of lines is described as a novel and powerful way to analyze radio frequency (RF) coils for high-field magnetic resonance imaging. Originally developed for optical and microwave circuits, this method enables a full-wave solution to Maxwell's field equations without the computational burden of pure finite element or finite difference methods. Because only two of the three geometric dimensions are discretized, while seeking an analytic solution in the remaining space dimension, an efficient solution can be obtained at reasonable geometric restrictions. After outlining the theoretical formulation and the computer implementation of this technique, we will apply it to the modeling of microstrip RF transverse electromagnetic resonator coils at 200 and 400 MHz as well as a high-pass shielded birdcage resonator and a single-loop surface coil. With single-frequency solutions obtainable within 5-10 s on a personal computer, the approach proves highly suitable as a design tool and for rapid prototyping.

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“…[19]) in the transformed domain. Z : Sparse impedance matrix relating the surface current density to the tangential electric field on a constant-surface (transformed domain).…”

Section: Appendix Bmentioning

confidence: 98%

Section: Algorithmic Considerationsmentioning

confidence: 99%

Section: Field Computationmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of high‐field RF coils using the method of lines

Bodganov

Ludwig

2003

Concepts Magn Reson

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“…The MoL is a special FD technique which allows the analytical incorporation of the radiation condition. In the last years, this mathematical tool has been applied very successfully to guided wave problems with separable but inhomogeneous boundary conditions [38][39][40][41][42]. In this paper it is demonstrated that it can be used also for non-separable boundary value problems.…”

Section: Introductionmentioning

confidence: 93%

The Discretized MIE-Formalism for Electromagnetic Scattering

Rother¹,

Schmidt²

1997

PIER

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“…Therefore the MoL is very well suited for the analysis of stnrutres, which can be divided into planar homogeneous regions. For the investigation of microwave structures with the conventional MoL -impedance steps (2), resonators (3), antennas (4) or coupled elements (5) the crosssection has been partitioned into suitable layers. Each layer has been discretized with discretization lines perpendicular to the direction of propagation.…”

Section: Introductionmentioning

confidence: 99%

Analysis of discontinuities in microwave circuits with a new eigenmode algorithm based on the method of lines

Vletzorreck

Pregla

1995

25th European Microwave Conference, 1995

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A new eigenmode algorithm based on the method of lines (MoL) is presented for the analysis of different kinds of discontinuities in microstrip and waveguide circuts. The basic procedre known from the integrated optics as MoL-BPM is adapted and extended for the application to microwave circuits by including metallizations and taking into account reflections at all discontinuWies. The easy mathematical description and a general formulation allow an investigation of a great variety of complex and technical interesting stwtures.The fact that all eigenmodes are considered in the analysis of the structures, the analical calculation in one direction and the matching of the field components instead of the modes at the discontinuRies guarantee a great accuracy of the calculations. The validity of the new procedure is proved by a comparison of first numerical results for an impedance step and a microstrip bend. Especially the improvement on the previous results with the MoL is made evident.

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Full-wave analysis of radiating planar resonators with the method of lines

Cited by 34 publications

References 13 publications

Analysis of high‐field RF coils using the method of lines

Analysis of high‐field RF coils using the method of lines

The Discretized MIE-Formalism for Electromagnetic Scattering

Analysis of discontinuities in microwave circuits with a new eigenmode algorithm based on the method of lines

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