Analytical Expressions for Spatial-Domain Green’s Functions in Layered Media

Kurup, Dhanesh G.

doi:10.1109/tap.2015.2477414

Cited by 9 publications

(3 citation statements)

References 33 publications

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“…Accordingly, *, * LK are the propagation operators with reflection from the dielectric ground. Thus, the Green's functions in *, * LK include the Sommerfeld integral, with discrete complex image method (DCIM) to accelerate calculation [19][20]. We calculate the input EEMC on the ES from the incident electromagnetic field as:…”

Section: A the Combination Of Ddm And Epamentioning

confidence: 99%

A Fast Algorithm for Solving Radio Wave Propagation Based on Machine Learning and Domain Decomposition Method

Li,

Yin,

Zhang

2024

Antennas Wirel. Propag. Lett.

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In this letter, a fast algorithm based on domain decomposition and machine learning is proposed for radio wave propagation over complex terrain. In this approach, equivalence surfaces (ESs) with the same size are arranged based on the distribution of obstacles; thus, the impact of each obstacle on the radio wave propagation can be expressed by the input and output equivalent electromagnetic currents (EEMCs) on the ESs. Due to the presence of dielectric ground, the full wave calculation process involves the discrete complex image method in the PMCHW equation. Deep learning is introduced to complete the complex process of determining the output EEMCs from input EEMCs on ESs to accelerate the calculation. Considering scattering field coupling between multiple terrains, we iterate the scattering fields generated by the interaction between ESs until convergence occurs. The simulation results show that the proposed algorithm is in good agreement with the Method of Moments approach, and its computational speed is significantly improved, demonstrating that the proposed method has high efficiency and good generalization ability.

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Section: A the Combination Of Ddm And Epamentioning

confidence: 99%

A Fast Algorithm for Solving Radio Wave Propagation Based on Machine Learning and Domain Decomposition Method

Li,

Yin,

Zhang

2024

Antennas Wirel. Propag. Lett.

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“…This original idea, introduced in the eighties, is now a robust and well-established approach known as the "discrete complex images method" (DCIM) [53]- [55]. Other useful manipulations of the spectral expressions (combined sometimes) include the use of pencil-offunction methods [56], [57] and the rational function fitting method (RFFM) [58]- [62]. SIs can be also considered in their original form of inverse 2D-Fourier transforms and we can apply to them FFT algorithms [63] or original ideas like the expansion wave concept [64].…”

Section: Numerical Integration Strategies For Sommerfeld Integralsmentioning

confidence: 99%

Sommerfeld Integrals and Their Relation to the Development of Planar Microwave Devices

Mosig

Michalski

2021

IEEE J. Microw.

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This paper deals with the mathematical expressions called Sommerfeld integrals. Introduced by A. Sommerfeld in 1909, they are mathematically equivalent to inverse Hankel transforms. The original historical goal of these integrals was to provide an accurate mathematical description of the electromagnetic phenomena involved in long-distance wireless radio and telegraphy. However, their scope was quickly enlarged thanks to the so-called spectral-domain stratified theory, and now they are ubiquitous in the mathematical models associated to many electromagnetic technologies, ranging from EMC lightning modelization and ground penetrating radar to optical and plasmonic integrated devices and going through the familiar microwave and millimeter-wave planar structures using printed circuit technology. In all these areas, Sommerfeld integrals can provide direct evaluations of the involved electromagnetic fields or they can be used as Green's functions in the frame of integral equation formulations. Other disciplines involving stratified media, like seismology and geological prospection, also benefit from these integrals. After discussing the most canonical Sommerfeld integral, appearing in the so-called Sommerfeld identity, this paper reviews three classical structures, namely, the original Sommerfeld problem involving two semi-infinite media, and the microstrip and stripline geometries. It is shown that Sommerfeld integrals provide a unifying treatment of these three problems and that their mathematical features have a direct translation in terms of the physical properties exhibited by the electromagnetic fields that can exist in them.INDEX TERMS Stratified media, spectral domain, Sommerfeld integrals, Green's functions, stripline, microstrip.

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“…Full-wave analysis methods, namely the method of moments (MoM), finite element method (FEM), are widely used for accurate electromagnetic wave scattering analysis [6]- [9]. However, these full-wave analysis methods become computationally complex and unstable with increase in size, number of coatings, number of layers, and losses in dielectric materials [10], [11]. On the other hand, high-frequency methods such as physical optics, geometrical optics, or a combination of the two provide a faster analysis of electrically large surfaces with an admissible reduction in accuracy [12]- [15].…”

Section: Introductionmentioning

confidence: 99%

A Computationally Efficient Electromagnetic Wave Scattering Analysis Method for Electrically Large Multilayered Dielectric Structures

K. S.,

Mathur,

et al. 2023

AEM

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The paper presents a computationally efficient method based on the modified equivalent current approximation for electromagnetic wave scattering analysis of electrically large multilayered lossy dielectric structures. The proposed method can be an effective alternative to commercially available tools and methods, which tend to become computationally intensive with increase in size and losses of structures. The proposed method is applied to compute the radar cross-section of various multilayered dielectric and coated PEC structures for both TE and TM polarization under normal and oblique incidences and compared with method of moments (MoM). The result shows excellent agreement and reduced computational resources and time by a factor of fifteen compared to MoM. The proposed method can be applied directly to study scattering problems involving electrically large multilayer dielectric and conducting structures.

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Analytical Expressions for Spatial-Domain Green’s Functions in Layered Media

Cited by 9 publications

References 33 publications

A Fast Algorithm for Solving Radio Wave Propagation Based on Machine Learning and Domain Decomposition Method

A Fast Algorithm for Solving Radio Wave Propagation Based on Machine Learning and Domain Decomposition Method

Sommerfeld Integrals and Their Relation to the Development of Planar Microwave Devices

A Computationally Efficient Electromagnetic Wave Scattering Analysis Method for Electrically Large Multilayered Dielectric Structures

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