The Concept of Scale-Changing Network in Global Electromagnetic Simulation of Complex Structures

Aubert, Hervé

doi:10.2528/pierb09060504

Cited by 18 publications

(10 citation statements)

References 18 publications

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“…In Section 2.2, the SCN modeling the EM coupling between scale levels S + 1 and S in case of Figure 4 may be characterized by its impedance matrix [Z S + 1, S ]. Following [19], this matrix can be written as follows:…”

Section: Resultsmentioning

confidence: 99%

“…In the SCT formalism, the characteristic matrix (impedance, admittance or hybrid matrix) of the multiport that models the EM coupling between scale S and S + 1 can be derived from an integral equations formulation in which (1) passive modes in

D_{S + 1}, D_{S}^{1}

and

D_{S}^{2}

are shunted by their (purely imaginary) modal impedances and (2) each active mode in

D_{S + 1}, D_{S}^{1}

and

D_{S}^{2}

is an (current or voltage) EM source .…”

Section: Scale Changing Technique For the Electromagnetic Modeling Ofmentioning

confidence: 99%

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Electromagnetic modeling of microstrip reflectarrays using scale changing technique

Tahir¹,

Aubert

2012

Int J Numerical Modelling

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SUMMARY An efficient numerical technique called scale changing technique is applied here for the electromagnetic modeling of microstrip reflectarrays. Based on the partition of the array surface into further planar sub‐domains at various scale levels, this technique allows the computation of the equivalent multiport from the simple cascade of scale changing networks. Each network models accurately the electromagnetic coupling between the various sub‐domains, including the coupling between non‐identical cells in arrays. The high flexibility of the approach associated with advantages of the integral equation formulation renders this original technique powerful and rapid for designing antenna arrays. Because the computation of scale changing networks is mutually independent, processing and memory requirements can be reduced enormously by using multiple processing units. Copyright © 2012 John Wiley & Sons, Ltd.

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Section: Resultsmentioning

confidence: 99%

D_{S + 1}, D_{S}^{1}

and

D_{S}^{2}

are shunted by their (purely imaginary) modal impedances and (2) each active mode in

D_{S + 1}, D_{S}^{1}

and

D_{S}^{2}

is an (current or voltage) EM source .…”

Section: Scale Changing Technique For the Electromagnetic Modeling Ofmentioning

confidence: 99%

Electromagnetic modeling of microstrip reflectarrays using scale changing technique

Tahir¹,

Aubert

2012

Int J Numerical Modelling

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“…Some methods have been developed in order to handle such a high-level of details. Among them, the scale-changing technique (SCT) [3] consists in subdomain decomposition with scale-changing networks allowing representation of fine details and couplings. This approach is promising but still requires great expertise for its implementation.…”

Section: Introductionmentioning

confidence: 99%

Determination of the scattering matrix of large periodic antenna arrays

Maati

Menudier

Thévenot

et al. 2016

2016 10th European Conference on Antennas and Propagation (EuCAP)

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“…However, when the structure's complexity increases, the requirements (processing time and memory storage) are important and the convergence is delicate to reach. To circumvent the difficulties encountered with the above listed methods, a scale changing technique (SCT) has been developed in [11][12][13]. Its key idea is to dissociate the initial complex structure into scale levels separating then fine details from larger dimensions.…”

Section: Introductionmentioning

confidence: 99%

Study of Fractal-Shaped Structures With Pin Diodes Using the Multi-Scale Method Combined to the Generalized Equivalent Circuit Modeling

Mili¹,

Aguili²,

Aguili³

2011

PIER B

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Abstract-A multi-scale (MS) approach combined to the generalized equivalent circuit (GEC) modeling is applied to compute the input impedance of pre-fractal structures with incorporated PIN diodes. Instead of treating the whole complex problem at once, the MS method splits the complex structure into a set of scale levels to be studied separately. The computation is done gradually from the lowest level. Each scale level is artificially excited by N modal sources to compute its input impedance matrix. The MS method is based on converting this input impedance matrix into an impedance operator to achieve the transition toward the subsequent level. The PIN diodes were easily integrated in the MS approach thanks to their surface impedance model. The main advantage of the MS-GEC method is the significant reduction of the problem's high aspect ratio since fine details are studied separately of the larger structure. Consequently, the manipulated matrices are well conditioned. Moreover, the reduced size of matrices manipulated at each level leads to less memory requirement and faster processing than the MoM. Values obtained with the MS-GEC approach converge to those given by the MoM method when a sufficient number of modal sources are used at each scale level. For frequencies between 1 GHz and 6.8 GHz, the agreement between the two methods is conspicuous.

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The Concept of Scale-Changing Network in Global Electromagnetic Simulation of Complex Structures

Cited by 18 publications

References 18 publications

Electromagnetic modeling of microstrip reflectarrays using scale changing technique

Electromagnetic modeling of microstrip reflectarrays using scale changing technique

Determination of the scattering matrix of large periodic antenna arrays

Study of Fractal-Shaped Structures With Pin Diodes Using the Multi-Scale Method Combined to the Generalized Equivalent Circuit Modeling

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