Waveguide Modes Via an Integral Equation Leading to a Linear Matrix Eigenvalue Problem

Conciauro, G.; Bressan, M.; Zuffada, Cinzia

doi:10.1109/tmtt.1984.1132880

Cited by 109 publications

(140 citation statements)

References 8 publications

Supporting

Mentioning

115

Contrasting

Unclassified

Order By: Relevance

“…To compute the TM modes of an arbitrarily shaped waveguide by means of the BI-RME method, it is necessary to compute two matrices, L ′ and R ′ [11]. The matrix R ′ is related to the resonant-mode expansion of the basic circular waveguide.…”

Section: A Computation Of the Tm Modesmentioning

confidence: 99%

“…the Gauss quadrature). According to [11], the expression of the scalar Green's function g for this structure is…”

Section: A Computation Of the Tm Modesmentioning

confidence: 99%

“…The computation of the L matrix requires to manage the solenoidal dyadic Green's function, which can be expressed as follows [11] …”

Section: B Computation Of the Te Modesmentioning

confidence: 99%

“…The first original publication of this technique [11] considered its application to the modal analysis of arbitrarycontour waveguide structures by means of the combination of an integral equation with the modal expansion of a two-dimensional resonant contour. After solving a linear matrix eigenvalue problem, the BI-RME method provides the modal chart of the arbitrarily shaped waveguide structure.…”

Section: Introductionmentioning

confidence: 99%

“…Further efforts were done in the direction of extending the original method in order to include circular and elliptical arcs to describe the arbitrarily-shaped structure, since the original work [11] only considered straight segments.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Efficient boundary integral‐resonant mode expansion method implementation for full‐wave analysis of passive devices based on circular waveguides with arbitrary perturbations

Carceller¹,

Cogollos²,

Soto³

et al. 2013

IET Microwaves, Antennas & Propagation

View full text Add to dashboard Cite

Institution of Engineering and Technology (IET)Carceller Candau, C.; Cogollos Borras, S.; Soto Pacheco, P.; Gil Raga, J.; Boria Esbert, VE.; Vicente Quiles, CP.; Gimeno Martinez, B. (2013). Efficient boundary integral-resonant mode expansion method implementation for full-wave analysis of passive devices based on circular waveguides with arbitrary perturbations. IET Microwaves Antennas and Propagation. 7 (1) AbstractIn this paper, the efficient full-wave analysis of passive devices composed of circular and arbitrarily-shaped waveguides is considered. For this purpose, the well-known Boundary Integral -Resonant Mode Expansion (BI-RME) method has been properly extended. Circular waveguides are used for the resonant mode expansion, whereas the arbitrary contour is defined by any combination of straight, circular and elliptical segments, thus allowing the exact representation of the most widely used geometries. The proposed algorithm extends previous implementations of the BI-RME method based on circular waveguides by considering circular and elliptical arcs for defining arbitrary geometries. Likewise, it allows the efficient analysis of passive devices based on circular waveguides with arbitrary perturbations, thus providing more accurate results with less computational efforts than a rectangular waveguide based BI-RME approach. The extended method has been successfully tested with several practical application examples, having compared its performance with the BI-RME method based on rectangular waveguides.

show abstract

Section: A Computation Of the Tm Modesmentioning

confidence: 99%

“…the Gauss quadrature). According to [11], the expression of the scalar Green's function g for this structure is…”

Section: A Computation Of the Tm Modesmentioning

confidence: 99%

“…The computation of the L matrix requires to manage the solenoidal dyadic Green's function, which can be expressed as follows [11] …”

Section: B Computation Of the Te Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Efficient boundary integral‐resonant mode expansion method implementation for full‐wave analysis of passive devices based on circular waveguides with arbitrary perturbations

Carceller¹,

Cogollos²,

Soto³

et al. 2013

IET Microwaves, Antennas & Propagation

View full text Add to dashboard Cite

show abstract

A reliable and efficient numerical method for indirect eigenvalue problems arising in waveguide and resonator analysis

Schroeder

Wolff

1999

Int. J. Numer. Model.

View full text Add to dashboard Cite

The solution of an indirect (also referred to as non‐algebraic or nonlinear) eigenvalue problem is the final step of a variety of well established numerical methods for guided wave and resonator analysis. It amounts to a numerical search for the singularities of a matrix valued function of wave number or frequency. If a larger number of eigenvalues is required, such a procedure is often unreliable and inefficient. The present paper derives a novel approach, which by investigation of the full matrix function, instead of a scalar characteristic equation, assures reliable detection of large numbers of arbitrarily distributed simple or degenerated eigenvalues. The new Multiple Eigenvalue Search Algorithm allows for a sampling step width larger than the eigenvalue separation. As a side effect it thereby leads to a substantial reduction of numerical effort. Copyright © 1999 John Wiley & Sons, Ltd.

show abstract

Multimode Equivalent Network Representations: Recent Advances

Guglielmi,

Boria

2024

Encyclopedia of RF and Microwave Engineering

View full text Add to dashboard Cite

The objective of this chapter is to describe recent advances in the multimode equivalent network (MEN) theory for the full‐wave modeling and electromagnetic simulation of waveguide junctions. This paper is the second entry in this Encyclopedia in the context of the MEN theory. Although some of the theoretical development described in this second entry can be applied also to the theory described in the first entry, it is important to note that the two contributions are complementary and that they are both valid on their own merit.

show abstract

Waveguide Modes Via an Integral Equation Leading to a Linear Matrix Eigenvalue Problem

Cited by 109 publications

References 8 publications

Efficient boundary integral‐resonant mode expansion method implementation for full‐wave analysis of passive devices based on circular waveguides with arbitrary perturbations

Efficient boundary integral‐resonant mode expansion method implementation for full‐wave analysis of passive devices based on circular waveguides with arbitrary perturbations

A reliable and efficient numerical method for indirect eigenvalue problems arising in waveguide and resonator analysis

Multimode Equivalent Network Representations: Recent Advances

Contact Info

Product

Resources

About