Rapidly converging spectral-domain analysis of rectangularly shielded layered microstrip lines

Tsalamengas, J.L.; Fikioris, George

doi:10.1109/tmtt.2003.812576

Cited by 26 publications

(32 citation statements)

References 16 publications

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“…In order to accelerate the spectral series summation in application of SDA to shielded microstrip lines, several techniques have been used [7][8][9]. In the SDA, using appropriate basis functions and adding the asymptotic tails of the series, a drastic improvement in accuracy and speed can be obtained in the evaluation of the elements of K matrix [10].…”

Section: Introductionmentioning

confidence: 99%

“…Medina and Horno [11] have used an asymptotic approximation technique including a partial leading term extraction of the Bessel's function with two terms for the analysis of cylindrical and elliptical microstrip. Tsalamengas and Fikioris [9] have proposed a technique based on the asymptotic approximation in the space domain followed by rapidly convergent series [12] to accelerate the summation of series. Some other good works can be found in [8,9].…”

Section: Introductionmentioning

confidence: 99%

“…Tsalamengas and Fikioris [9] have proposed a technique based on the asymptotic approximation in the space domain followed by rapidly convergent series [12] to accelerate the summation of series. Some other good works can be found in [8,9]. Also these techniques are specific for shielded microstrip using Chebyshev polynomial as basis functions.…”

Section: Introductionmentioning

confidence: 99%

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Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Fast Convergent Series

Jain¹,

Song²

2012

PIER M

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We present an approach for very quick and accurate approximation of infinite series summation arising in electromagnetic problems. This approach is based on using asymptotic expansions of the arguments and the use of fast convergent series to accelerate the convergence of each term. It has been validated by obtaining very accurate solution for propagation constant for shielded microstrip lines using spectral domain approach (SDA). In the spectral domain analysis of shielded microstrip lines, the elements of the Galerkin matrix are summations of infinite series of product of Bessel functions and Green's function. The infinite summation is accelerated by leading term extraction using asymptotic expansions for the Bessel function and the Green's function, and the summation of the leading terms is carried out using the fast convergent series. Research M, Vol. 22, 191-203, 2012 EFFICIENT Abstract-We present an approach for very quick and accurate approximation of infinite series summation arising in electromagnetic problems. This approach is based on using asymptotic expansions of the arguments and the use of fast convergent series to accelerate the convergence of each term. It has been validated by obtaining very accurate solution for propagation constant for shielded microstrip lines using spectral domain approach (SDA). In the spectral domain analysis of shielded microstrip lines, the elements of the Galerkin matrix are summations of infinite series of product of Bessel functions and Green's function. The infinite summation is accelerated by leading term extraction using asymptotic expansions for the Bessel function and the Green's function, and the summation of the leading terms is carried out using the fast convergent series.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Fast Convergent Series

Jain¹,

Song²

2012

PIER M

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“…The IE method can be formulated either in the spectral [4], [5], [6], [7], [8] or in the spatial domain [9], [10], [11]. The spectral domain is usually very efficient, but it presents important convergence problems when the dimensions of the cells employed to discretize the printed circuits are very small as compared to the enclosure.…”

Section: Introductionmentioning

confidence: 99%

“…The spectral domain is usually very efficient, but it presents important convergence problems when the dimensions of the cells employed to discretize the printed circuits are very small as compared to the enclosure. Although some very efficient acceleration techniques have been proposed for 1D printed structures [8], the analysis of 2D metalizations still represents and interesting challenge. On the other hand, the spatial domain usually expresses the boxed multilayered Green's functions in terms of infinite sums of spatial images, which are very slowly convergent.…”

Section: Introductionmentioning

confidence: 99%

A Grounded MoM-Based Spatial Green's Function Technique for the Analysis of Multilayered Circuits in Rectangular Shielded Enclosures

Gómez‐Díaz¹,

Garcia-Vigueras²,

Álvarez‐Melcón³

2011

IEEE Trans. Microwave Theory Techn.

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Abstract-A continuous counterpart of the Spatial Images technique is proposed for the computation of the multilayered boxed Green's functions and, for the first time, of their derivatives. The method employs a set of auxiliary linear distribution of sources to effectively impose the potential boundary conditions along the whole cavity contour. The imposition of these boundary conditions leads for the first time to a set of integral equations (IEs), on the unknown distributions of the auxiliary sources, which are solved by applying a method of moments approach. A convergence/efficiency study, related to the test and basis functions choice, is then presented and discussed. The technique is combined with the use of dynamic ground planes generating mirror basis functions which completely remove any singular instability. Finally, the computed Green's functions are included into a mixed potential IE formulation for the accurate and very fast analysis of practical multilayered shielded circuits. The proposed technique does not suffer from any convergence issue and it is extremely competitive in terms of accuracy and efficiency as compared to other methods known to the authors.

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A novel approach to accelerate spectral domain approach for shielded microstrip lines using the Levin transformations and summation-by-parts

Chen

Song

et al. 2014

Radio Sci.

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A novel approach, which uses the Levin transformations or the hybrid of the Levin transformations and summation-by-parts, is presented for the acceleration of the slowly convergent series that asymptotically behave as 1∕n k and sinusoidal functions divided by n k . This approach does not need the asymptotic expansion for the Green's functions and the Bessel functions, which saves the work for finding the asymptotic expansion coefficients. This approach has been applied to the acceleration of the infinite series summation in the shielded microstrip problem solved by the spectral domain approach (SDA) for obtaining accurate solutions of the propagation constant. Effective criteria of calculating the number of terms used in direct summation before applying the Levin transformations have been developed in this application. This approach can be easily extended to handle the multilayered shielded microstrip structure.

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Rapidly converging spectral-domain analysis of rectangularly shielded layered microstrip lines

Cited by 26 publications

References 16 publications

Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Fast Convergent Series

Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Fast Convergent Series

A Grounded MoM-Based Spatial Green's Function Technique for the Analysis of Multilayered Circuits in Rectangular Shielded Enclosures

A novel approach to accelerate spectral domain approach for shielded microstrip lines using the Levin transformations and summation-by-parts

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