A modified UTD solution for an impedance cylinder surface

Phaebua, Kittisak; Lertwiriyaprapa, Titipong; Phongcharoenpanich, Chuwong; Pathak, P.H.

doi:10.1109/ecticon.2011.5947809

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…A number of approaches to evaluate this integral for a variety of surfaces have been reported. One of the more consistent methods is to deform the contour of the integral in the complex τ plane to perform the integral over discrete intervals, which is used for different types of impedance cylinders [44], [45]. This method is most accurate with surfaces that have a constant q e,m value, which is not the case for metasurfaces, and using the method for non-constant values of q e,m results in erroneous calculations of the fields.…”

Section: Transition Integral a Evaluation Of The Fock-type Integral F...mentioning

confidence: 99%

Ray Optical Scattering From Uniform Reflective Cylindrical Metasurfaces Using Surface Susceptibility Tensors

Stewart

Smy

Gupta

2022

IEEE Trans. Antennas Propagat.

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A ray optical methodology based on the uniform theory of diffraction is proposed to model electromagnetic field scattering from curved metasurfaces. The problem addressed is the illumination of a purely reflective uniform cylindrical metasurface by a line source, models the surface with susceptibilities and employs a methodology previously used for cylinders coated in thin dielectric layers [1]. The approach is fundamentally based on a representation of the metasurface using the General Sheet Transition Conditions (GSTCs) which characterizes the surface in terms of susceptibility dyadics. An eigenfunction description of the metasurface problem is derived considering both tangential and normal surface susceptibilities, and used to develop a ray optics (RO) description of the scattered fields; including the specular geometrical optical field, surface diffraction described by creeping waves and a transition region over the shadow boundary. The specification of the fields in the transition region is dependent on the evaluation of the Pekeris caret function integral and the method follows [1]. The proposed RO-GSTC model is then successfully demonstrated for a variety of cases and is independently verified using a rigorous eigenfunction solution (EF-GSTC) and full-wave Integral Equation method (IE-GSTC), over the entire domain from the deep lit to deep shadow.

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Section: Transition Integral a Evaluation Of The Fock-type Integral F...mentioning

confidence: 99%

Ray Optical Scattering From Uniform Reflective Cylindrical Metasurfaces Using Surface Susceptibility Tensors

Stewart

Smy

Gupta

2022

IEEE Trans. Antennas Propagat.

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“…A shadow denotes the 3-D spreading factor in the shadow zone depending on the surface geometry. The parameters in Equations (3) and (4) can be found in [7], and the details of the modified 3-D UTD solution for an impedance cylinder surface are presented in [20].…”

Section: Utd Canonical Problem and Equationsmentioning

confidence: 99%

“…This paper presents an application of the modified 3-D UTD for the curved impedance surface in [20] for the path loss prediction of the WSN system in an orchard. In this research, a durian orchard is chosen to be a pioneering example of the WSN for fruit maturity monitoring system.…”

Section: Introductionmentioning

confidence: 99%

“…The orchard ground is modeled using the dielectric ground containing the relative permittivity ε r , the relative permeability µ r and the conductivity σ. The modified 3-D UTD scattering solution for impedance cylinder presented in [20] is obtained by heuristically modifying the classical 3-D UTD solution for a PEC curved surface [7] with impedance Pekeris' caret function [18] and [22]. Moreover, the Guassian beam (GB) expansion method based on the Complex source point (CSP) technique to synthesize the radiation pattern of source is employed.…”

Section: Introductionmentioning

confidence: 99%

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Path-Loss Prediction of Radio Wave Propagation in an Orchard by Using Modified Utd Method

Phaebua¹,

Phongcharoenpanich²,

Krairiksh³

et al. 2012

PIER

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Abstract-In this paper, the proposed theoretical path-loss prediction procedure and measured results of radio wave propagation in an orchard environment are presented. The path-loss prediction of wireless sensor network (WSN) in a durian (Durio zibethinus Murray) orchard is chosen to be an example of this study. The threedimensional (3-D) modified uniform geometrical theory of diffraction (UTD) for curved impedance surface and the complex source point (CSP) technique for source modeling are employed for theoretical path-loss prediction in this paper. The orchard scenario is modeled using canonical geometries of UTD, such as a dielectric flat surface and cylindrical structures with an impedance surface to respectively represent ground and trees. Moreover, since the wireless sensor node is attached to the outside peel of a hanging durian fruit, the fruit partially acts as a wireless sensor node. Therefore, to obtain greater accuracy in the source radiation pattern, the Gaussian beam (GB) expansion via the CSP technique is used for source modeling. The path loss prediction from the proposed numerical procedure and the measured results are in good agreement. The proposed numerical procedure to calculate the path loss from actual scenario of the orchard is useful for network planning such as the pre-harvesting WSN system and other orchard scenarios.

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“…A number of approaches to evaluate this integral for a variety of surfaces have been reported. One of the more consistent methods is to deform the contour of the integral in the complex τ plane to perform the integral over discrete intervals, which is used for different types of impedance cylinders [91,92]. This method is most accurate with surfaces that have a constant q e,m value, which is not the case for metasurfaces, and using the method for non-constant values of q e,m results in erroneous calculations of the fields.…”

Section: Deep Shadowmentioning

confidence: 99%

Multiscale Modeling of Electromagnetic Metasurfaces Using Zero-Thickness Surface Susceptibility Models

Steele¹

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This work presents a number of methodologies for determining the scattered Electromagnetic (EM) fields from metasurfaces at various simulation scales. The primary motivation for this work is the need to create a suite of simulation techniques that enable the multi-scale simulation of large scale EM propagation problems involving metasurfaces. For all of the methodologies, the scattering behavior of metasurfaces are characterized by the surface susceptibility tensors that appear in the generalized sheet transition conditions (GSTCs), which gives a physically motivated description of the surface. Using the GSTCs, these shared constitutive parameters are integrated into several different modelling techniques, each with their own advantages, allowing for the simulation of metasurfaces at several simulation scales. This work will present several simulation frameworks that have been developed, outlining their various advantages and limitations. This includes: a modification of Finite Difference Time Domain (FDTD) method to integrate non-paraxial scattering behavior of metasurfaces to a standard Yee cell grid; the integration of metasurfaces as surface boundary conditions in the Boundary Element Method (BEM); the development of ray diffraction methods to calculate the scattered fields from metasurfaces characterized by local periodic parameters, and; the expansion of the ray diffraction methods to account for surface diffraction off of curved topographies. For each method, a few representative examples are included to verify their accuracy. The methods outlined above are demonstrated to be self-consistent with each other and with other techniques available in the present literature and offer a wide range of coverage to simulate metasurfaces accurately for any given simulation scale.

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A modified UTD solution for an impedance cylinder surface

Cited by 5 publications

References 7 publications

Ray Optical Scattering From Uniform Reflective Cylindrical Metasurfaces Using Surface Susceptibility Tensors

Ray Optical Scattering From Uniform Reflective Cylindrical Metasurfaces Using Surface Susceptibility Tensors

Path-Loss Prediction of Radio Wave Propagation in an Orchard by Using Modified Utd Method

Multiscale Modeling of Electromagnetic Metasurfaces Using Zero-Thickness Surface Susceptibility Models

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