Practical Implementation of the Spatial Images Technique for the Analysis of Shielded Multilayered Printed Circuits

Gómez‐Díaz, J. S.; Martinez-Mendoza, M.; Perez-Soler, F.J.; Pereira, Fernando Daniel Quesada; Álvarez‐Melcón, A.

doi:10.1109/tmtt.2007.912232

Cited by 9 publications

(20 citation statements)

References 14 publications

(29 reference statements)

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“…To analyze this filter, only 12 images are needed to obtain good convergence. The images are placed at fixed points surrounding the structure, as was described in [11], except in those points very close to the walls, where a specific image distribution is employed [12]. Fig.…”

Section: Resultsmentioning

confidence: 99%

“…For every electric source point, three systems of linear equations must be solved, finding the weights and orientations of both charge and dipole images, which are needed to fulfil the required boundary conditions. To model more complex cavities, the layers of the structure and the top and bottom covers can be taken into account by substituting the free-space Green's functions with the multilayered media Green's functions formulated in the space domain through Sommerfeld integrals [12].…”

Section: Theoretical Outlinementioning

confidence: 99%

“…Note that when the source is very close to the cavity walls, a specific spatial images distribution must be employed (see [12]) in order to obtain accurate results. Also, the dipole images values exhibit faster variations in this case, as it can be observed in Fig.…”

Section: Theoretical Outlinementioning

confidence: 99%

“…The idea of the method is to use charge F o r P e e r R e v i e w and dipole images outside the cavity to enforce the proper boundary conditions for the potentials. The technique was applied to circular enclosures in [10], and for the first time to more complex shaped enclosures, defined by linear segments, in [11,12]. The main disadvantage of the spatial images method is that new exact charge and dipole images must be calculated for every electric source point location.…”

Section: Introductionmentioning

confidence: 99%

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An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

Gómez‐Díaz

Martinez-Mendoza

Perez-Soler

et al. 2008

Micro & Optical Tech Letters

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In this paper, an efficient interpolation method is presented in order to compute the Green's function associated to electrical sources, when they are placed inside cylindrical cavities. The interpolation scheme is formulated in the frame of the spatial images technique recently developed. The original idea was to calculate, for every location of a point electric source, the complex values of the electric dipole and charge images, placed outside the cavity, to impose the appropriate boundary conditions for the potentials. In order to considerably reduce the computational cost of the original technique, a simple interpolation method is proposed to obtain the complex values of the images for any source location. To do that, a rectangular spatial subdivision inside the cavity is proposed. Each new sub-region is controlled by means of the exact images values obtained when the source is placed at the four corners of the region. The key idea is to use a bilinear interpolation to obtain the images complex values when the source is located anywhere inside this sub-region. The interpolated images provide the Green's functions of the new source positions fast, and with high accuracy. This new approach can be directly applied to analyze printed planar filters. Two examples with CPU time comparisons are provided, showing the high accuracy and computational gain achieved with the technique just derived.

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Section: Resultsmentioning

confidence: 99%

Section: Theoretical Outlinementioning

confidence: 99%

Section: Theoretical Outlinementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

Gómez‐Díaz

Martinez-Mendoza

Perez-Soler

et al. 2008

Micro & Optical Tech Letters

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show abstract

“…The spatial images technique has recently been developed for the Green's functions computation, inside circular [1] and complex shaped convex [2], [3] multilayered cavities. However, some convergence problems occur when the source point is situated close to the cavity wall, due to the presence of spatial images with strong singular behavior.…”

Section: Introductionmentioning

confidence: 99%

Use of ground planes within the spatial images technique: Application to the analysis of rectangular multilayered shielded enclosures

Gómez‐Díaz¹,

Garcia-Vigueras²,

Canete-Rebenaque³

et al. 2010

2010 IEEE MTT-S International Microwave Symposium

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Abstract-The use of ground planes is proposed inside the spatial images technique in order to calculate the multilayered shielded Green's functions for rectangular enclosures. The po sitions of the ground planes are dynamically located, covering two walls of the cavity, as a function of the source position.Spatial mirror images, related to the ground planes, are used to perfectly impose the boundary conditions along these cavity walls.This completely removes the problems associated to the singular behavior of the source when it is placed close to a wall or a corner, improving numerical stability. In addition, the method leads to a very efficient computation (about 15 times faster than the original approach), due to the reduced number of non-mirror images that must be effectively computed. A multi-band filter in hybrid waveguide-microstrip technology is analyzed with the new method, showing excellent agreement with measured data.

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Efficient calculation of the Green's functions for multilayered shielded cavities with right isosceles-triangular cross-section

Gómez‐Díaz

Martinez-Mendoza

Pereira

et al. 2009

IET Microw. Antennas Propag.

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In this paper, an efficient calculation of the Green's functions inside multilayered shielded cavities with right isosceles-triangular cross-section is presented. The method is entirely developed in the spatial domain, and it is based on image theory. The idea is to use the spatial domain Green's functions inside a multilayered shielded square box, in order to accurately obtain the Green's functions for the right isosceles triangular cavity. Image theory is then used to enforce the boundary conditions along the non-equal side of the triangle. It is shown that the new algorithm is very robust, with limited computational effort. Resonance frequencies and potential patterns of a triangular cavity have been calculated and compared to those obtain by other techniques, showing very good agreement. Finally, a transversal filter inside a multilayered triangular shaped cavity is designed, manufactured and tested using the developed technique.

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Practical Implementation of the Spatial Images Technique for the Analysis of Shielded Multilayered Printed Circuits

Cited by 9 publications

References 14 publications

An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

An interpolated spatial images method for the analysis of multilayered shielded microwave circuits

Use of ground planes within the spatial images technique: Application to the analysis of rectangular multilayered shielded enclosures

Efficient calculation of the Green's functions for multilayered shielded cavities with right isosceles-triangular cross-section

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