Useful Solutions for Plane Wave Diffraction by Dielectric Slabs and Wedges

Gennarelli, Gianluca; Riccio, Giovanni

doi:10.1155/2012/151287

Cited by 6 publications

(5 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This last point is strictly related to the PO approximation and limits the evaluation of the scattered field at the beginning of the UAPO approach. It is authors' opinion that the inclusion of further wave contributions can improve the formulation of the equivalent surface currents to be used also in the shadow region, but this means abandoning the simplicity of the PO approximation and probably preventing the determination of a UTD-like solution in closed form as in [19][20][21][22][23][24][25][26][27][28][29][30][31].…”

Section: Go Field and Po Surface Currentsmentioning

confidence: 99%

“…The research team has denoted it as Uniform Asymptotic Physical Optics (UAPO) approach since it is based on the PO approximation of electric and magnetic equivalent surface currents radiating in the surrounding region. References [19][20][21][22][23][24][25][26][27][28][29][30][31] provide the UAPO solutions to some diffraction problems. Pros and cons of such solutions have been identified and highlighted in these manuscripts.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Diffraction of Plane Waves by Arbitrary-Angled Coated Wedges

Riccio¹,

Gennarelli²,

Ferrara³

et al. 2022

PIER M

Self Cite

View full text Add to dashboard Cite

This research work deals with the plane wave diffraction by a coated perfect electrically conducting wedge with arbitrary apex angle. The uniform layer covering the impenetrable wedge is made of a standard double positive material or an unfamiliar double negative metamaterial with negative permittivity and permeability at the operating frequencies. The propagation mechanism is studied when the incidence direction is perpendicular to the edge of the composite structure, and uniform asymptotic solutions are proposed to evaluate the diffraction contribution for both the polarizations. Such approximate solutions are obtained by using the Uniform Asymptotic Physical Optics approach based on electric and magnetic equivalent surface currents radiating in the neighboring free space. The related expressions are user-friendly and provide reliable field values as verified by numerical tests involving a full-wave electromagnetic solver.

show abstract

Section: Go Field and Po Surface Currentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Diffraction of Plane Waves by Arbitrary-Angled Coated Wedges

Riccio¹,

Gennarelli²,

Ferrara³

et al. 2022

PIER M

Self Cite

View full text Add to dashboard Cite

show abstract

“…According to [18][19][20][21][22][23][24][25][26][27][28][29][30], the UAPO approach allows one to isolate the high-frequency diffraction contribution that is enclosed in (6). This is possible by performing useful analytic approximations and integral evaluations.…”

Section: The Uapo Solution For the Diffraction Contributionmentioning

confidence: 99%

“…The well-known limitations of the PO-based techniques and the absence of the surface waves in the UAPO approach can decrease the accuracy of the estimated field values in particular cases, e.g., incidence directions close to the grazing one [18]. Other canonical problems solved by means of the UAPO approach can be found in [19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Scattering from a 90° Metallic Wedge with One Face Coated by a Double Negative Metamaterial Layer

Riccio¹,

Gennarelli²,

Ferrara³

et al. 2022

PIER M

View full text Add to dashboard Cite

This manuscript refers to the electromagnetic scattering problem involving plane waves at skew incidence with respect to the edge of a right-angled metallic wedge having one face coated by a double negative metamaterial sheet. Its presence in the propagation scenario is properly accounted at high frequencies by considering the geometrical optics response of the structure and the diffraction contribution arising from the edge of the wedge. In particular, the reflection coefficients related to the coated surface are determined for both the polarizations by using the equivalent transmission line circuit, whereas the diffraction coefficients are obtained by applying the uniform asymptotic physical optics approach. This last is based on electric and magnetic equivalent surface currents under the physical optics approximation and permits to evaluate the diffraction contribution in the context of the uniform geometrical theory of diffraction. The resulting approximate solution is characterized by the same simplicity of use of the heuristic solutions and provides reliable field values as confirmed by the numerical tests carried out by a full-wave commercial software.

show abstract

“…The Uniform Asymptotic Physical Optics (UAPO) approach has recently emerged as a useful, reliable, and alternative high-frequency analytical method to obtain approximate uniform solutions to plane wave diffraction problems involving penetrable and impenetrable structures [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The UAPO solutions can be used in the framework of the Uniform Geometrical Theory of Diffraction (UTD) [20] and are expressed in a closed form containing only standard functions and parameters as the trigonometric functions, the UTD transition function, and the geometrical optics (GO) response of the structure in terms of reflection and transmission coefficients.…”

Section: Introductionmentioning

confidence: 99%

High-frequency diffraction contribution by planar metallic–DNG metamaterial junctions

Gennarelli

Riccio

2020

Int. J. Microw. Wireless Technol.

View full text Add to dashboard Cite

The plane wave diffraction by a planar junction consisting of a thick metallic sheet and a lossy double-negative metamaterial slab is studied by using the Uniform Asymptotic Physical Optics approach. This approach assumes the radiation integral as a starting point and uses the physical optics surface currents as sources to be integrated. The integral is manipulated by taking advantage of useful approximations and evaluations, and re-formulated in order to apply an asymptotic procedure able to generate a closed-form approximate solution in the framework of the Uniform Geometrical Theory of Diffraction. Accordingly, advantages and drawbacks result from the application of the proposed solution. The jumps of the geometrical optics field are compensated. Implementation and handling of the computer code are facilitated by the evaluation of well-known functions and parameters. No differential/integral equations or special functions must be computed.

show abstract

Useful Solutions for Plane Wave Diffraction by Dielectric Slabs and Wedges

Cited by 6 publications

References 14 publications

Diffraction of Plane Waves by Arbitrary-Angled Coated Wedges

Diffraction of Plane Waves by Arbitrary-Angled Coated Wedges

Scattering from a 90° Metallic Wedge with One Face Coated by a Double Negative Metamaterial Layer

High-frequency diffraction contribution by planar metallic–DNG metamaterial junctions

Contact Info

Product

Resources

About