Diffraction by a quarterplane of the field from a halfwave dipole

Albertsen, Niels

doi:10.1049/ip-map:19971151

Cited by 9 publications

(23 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our solution (continuous line) is compared with the exact solution (dashed line, from [12]) and with the firstorder solution without vertex contribution ( , dotted line). This latter is the same as the one obtained by applying UTD, except for the fact that the reactive components along [see (6) and (7)] have also been included. For the case in Fig.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…These contributions correspond to hard and soft boundary conditions on the faces of the angular sector, respectively. We denote by the summation of the fringe currents on the two faces of this infinite structure; these are expressed in exact closed form as [26] (5) where (6) and (7) in which (8) In (6), (7) (9) is the unit vector directed along the grazing ray and is the unit vector along edge 1. Furthermore (10) and (11) are the UTD transition function and the UTD slope-transition function, respectively.…”

Section: Current Induced By Singly Diffracted Rays and By Vertexmentioning

confidence: 99%

“…The exact solution of the scalar problem for soft boundary conditions and 90 plane angular sector was obtained by Radlow [5], who used the Wiener-Hopf technique; his work was recently extended to the electromagnetic case by Albertsen [6]. For arbitrary corner angle, the exact electromagnetic solution was first found by Satterwhite and Kouyoumjian [7], [8]; however, the series expansion representation of the solution is slowly convergent when the distance from the tip increases and no practical asymptotic approximation has been found yet.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

ITD formulation for the currents on a plane angular sector

Maci

Albani

Capolino

1998

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Abstract-Approximate high-frequency expressions for the currents induced on a perfectly conducting plane angular sector are derived on the basis of the incremental theory of diffraction (ITD). These currents are represented in terms of those predicted by physical optics (PO) plus fringe contributions excited by singly and doubly diffracted (DD) rays at the two edges of the angular sector. For each of these two contributions, additional currents associated to vertex diffracted rays are introduced that provide continuity at the relevant shadow boundary lines. The transition region of DD rays is described by a transition function involving cylinder parabolic functions. The asymptotic solution presented here is constructed in such a way to satisfy far from the vertex the expected edge singularities, which tend to be the same as those predicted by the exact solution of the half plane. Numerical results are compared with the exact solution of the same problem and with moments method results for scattering from polygonal plates.Index Terms-Geometrical theory of diffraction, high-frequency techniques, incremental theory of diffraction, physical optics.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Section: Current Induced By Singly Diffracted Rays and By Vertexmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

ITD formulation for the currents on a plane angular sector

Maci

Albani

Capolino

1998

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

show abstract

“…It can be expressed by standard special functions, and is defined in [1,Appendix]. The singularities of the integrand in (1) 3rd quadrant is due to the presence of in the denominator of (2).…”

Section: Field Expressionmentioning

confidence: 99%

“…T HE electromagnetic field scattered by a quarterplane was derived in [1] for a halfwave dipole source. Here it was shown that the and components of the scattered field could be found on the far-field sphere through quadrature formulas involving the scattered field from two properly chosen scalar problems, where the perfectly conducting quarterplane is replaced by a soft or hard quarterplane, respectively.…”

Section: Introductionmentioning

confidence: 99%

Doubly diffracted ray from a hard quarterplane

Albertsen

2000

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

On Radlow's quarter‐plane diffraction solution

Albani

2007

Radio Science

View full text Add to dashboard Cite

[1] In this paper, we demonstrate that Radlow's solution to diffraction by the soft quarter plane is incorrect. We derive an explicit expression for the Wiener-Hopf factorizing function and verify that a nonvanishing term, which was not accounted for by Radlow, arises from a correct evaluation of the field on the quarter plane. Consequently, the field function proposed by Radlow does not satisfy the boundary conditions, and therefore it is not the correct solution to diffraction by a quarter plane.

show abstract

Diffraction by a quarterplane of the field from a halfwave dipole

Cited by 9 publications

References 5 publications

ITD formulation for the currents on a plane angular sector

ITD formulation for the currents on a plane angular sector

Doubly diffracted ray from a hard quarterplane

On Radlow's quarter‐plane diffraction solution

Contact Info

Product

Resources

About