Assessment of FDTD Accuracy in the Compact Hemielliptic Dielectric Lens Antenna Analysis

Boriskin, Artem; Rolland, Anthony; Sauleau, Ronan; Nosich, Alexander I.

doi:10.1109/tap.2008.916950

Cited by 27 publications

(21 citation statements)

References 40 publications

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“…This rigorous mathematical approach guarantees exponentially-fast monotonic convergence of the numerical solution and controlled accuracy for any set of the lens and feeding array parameters [13][14][15]. This software was carefully validated earlier against highfrequency and FDFD solvers when applied for the design of resonant and non-resonant dielectric scatterers [7,13,15,16] and proved to be a reliable engine for synthesis-oriented CAD tools.…”

Section: Methods Of Analysismentioning

confidence: 99%

Numerical Investigation Into the Design of Shaped Dielectric Lens Antennas With Improved Angular Characteristics

Boriskin¹,

Sauleau

2011

PIER B

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Abstract-The feasibility of designing a compact-size beam-switching dielectric lens antenna (DLA) with improved angular (scanning) characteristics is investigated numerically using in-house software based on the Muller boundary integral equations and hybrid genetic algorithm. It is demonstrated that joint optimization of the lens shape and feeding array parameters enables one to minimize the directivity degradation for off-axis feeds which is a well-known drawback of conventional extended hemielliptic DLAs fed by focal arrays. The key to success is found in proper shaping the lens profile and using arrays of non-identical feeds.

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Section: Methods Of Analysismentioning

confidence: 99%

Numerical Investigation Into the Design of Shaped Dielectric Lens Antennas With Improved Angular Characteristics

Boriskin¹,

Sauleau

2011

PIER B

Self Cite

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“…FDTD is one of the most used methods thanks to its accurate calculation but still, requires a huge memory space. Moreover, Wave Concept Iterative Process (WCIP) has already shown its effectiveness in solving similar problems in terms of both computing time and calculations accuracy [16]. Thus, we will use the new approach to the iterative method WCIP [17] based on technical auxiliary sources to study the phenomenon of the planar jet created by a planar structure of individual cells.…”

Section: Introductionmentioning

confidence: 99%

Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses

Azizi¹,

Baudrand²,

Elbellili³

et al. 2017

PIER M

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Abstract-In this work, we show that it is possible to produce a planar electromagnetic jet using a flat structure consisting of elementary cells based on lumped elements and fed with a source line. A combination of elementary cells may represent a gradient index, locating the electromagnetic energy in a small area, consisting of a few cells and having a size of about 0.75λ. The theoretical framework of the study is based on the Wave Concept Iterative Process method (WCIP) formulated in both spectral and spatial domains. An analogy with an optical model based on optical paths equality enables predicting the location of formation of this spot. The use of such a system can provide solutions for the development of new kinds of applications such as engraving sub-wavelength, data storage, improved scalpel optics for ultra-precise laser surgery, and detection of cancer.

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“…Time stepping is continued until a steady state solution is obtained. Although FDTD is known as powerful numerical method, it has disadvantages such as numerical dispersion, backreflection from the borders of computational window, etc [8].…”

Section: Introductionmentioning

confidence: 99%

Dual Integral Equations Technique in Electromagnetic Wave Scattering by a Thin Disk

Balaban¹,

Sauleau²,

Benson³

et al. 2009

PIER B

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Abstract-The scattering of an arbitrary electromagnetic wave by a thin disk located in free space is formulated rigorously in terms of coupled dual integral equations (CDIEs) for the unknown images of the jumps and average values of the normal to the disk scattered-field components. Considered are three cases of the disk: (1) Zero-thickness perfectly electrically conducting (PEC) disk, (2) thin electrically resistive (ER) disk and (3) dielectric disk. Disk thickness is assumed much smaller than the disk radius and the free space wavelength, in ER and dielectric disk cases, and also much smaller than the skinlayer depth, in the ER disk case. The set of CDIEs are "decoupled" by introduction of the coupling constants. Each set of DIEs are reduced to a Fredholm second kind integral equation by using the semi-inversion of DIE integral operators. The set of "coupling" equations for finding the coupling constants is obtained additionally from the edge behavior condition. Thus, each problem is reduced to a set of coupled Fredholm second kind integral equations. It is shown that each set can be reduced to a block-type three-diagonal matrix equation, which can be effectively solved numerically by iterative inversions of the two diagonal blocks and 2 × 2 matrix.

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Assessment of FDTD Accuracy in the Compact Hemielliptic Dielectric Lens Antenna Analysis

Cited by 27 publications

References 40 publications

Numerical Investigation Into the Design of Shaped Dielectric Lens Antennas With Improved Angular Characteristics

Numerical Investigation Into the Design of Shaped Dielectric Lens Antennas With Improved Angular Characteristics

Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses

Dual Integral Equations Technique in Electromagnetic Wave Scattering by a Thin Disk

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