Diffraction of Plane Wave by Two Parallel Slits in an Infinitely Long Impedance Plane Using the Method of Kobayashi Potential

Imran, Ayesha; Naqvi, Qaisar Abbas; Hongo, Kazuhiro

doi:10.2528/pier06042601

Cited by 28 publications

(9 citation statements)

References 6 publications

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“…This integral shows a discontinuous property when a particular relation holds among the power of the algebraic term and orders of the Bessel's functions. This method has been successfully applied to potential [6,7] as well as scattering problems for different geometries [8][9][10][11][12][13]. Imposition of the boundary conditions result in dual integral equations (DIEs).…”

Section: Introductionmentioning

confidence: 99%

Diffraction From a Slit in an Impedance Plane Placed at the Interface of Two Semi-Infinite Half Spaces of Different Media

Imran¹,

Naqvi²,

Hongo³

2008

PIER B

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Abstract-Diffraction of an electromagnetic plane wave from a slit in an impedance plane placed at the interface of two different media, has been formulated rigorously. Both the principal polarizations are considered. The method of analysis is Kobayashi Potential (KP). To determine the unknown weighting functions, boundary conditions are imposed which resulted into dual integral equations (DIEs). These DIEs are solved by using the discontinuous properties of WeberSchafheitlin's integrals. The resulting expressions are then expanded in terms of Jacobi's polynomials. The problems are then, reduced to matrix equations with infinite number of unknowns whose elements are expressed in terms of infinite integrals. These integrals are hard to solve analytically. The integrals contain poles for particular values of surface impedance and are solved numerically. Illustrative computations are given for far diffracted fields and other physical quantities of interest. To check the validity of our work, we compared the far field patterns with those of obtained through Physical Optics (PO). The agreement is good.

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Section: Introductionmentioning

confidence: 99%

Diffraction From a Slit in an Impedance Plane Placed at the Interface of Two Semi-Infinite Half Spaces of Different Media

Imran¹,

Naqvi²,

Hongo³

2008

PIER B

Self Cite

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“…Compared to the double-slit interference of a scalar optical field [26] and a vector optical field with azimuthally variant polarization, the doubleslit interference phenomena with both radially and azimuthally variant polarizations provide a deeper understanding about the characteristics of the vector field and their interference characteristics. With different distributions of the initial SoP, the interference fringes in far field appear in different shapes.…”

Section: Introductionmentioning

confidence: 99%

The Two-Slit Interference of Vector Optical Fields With Both Radially and Azimuthally Variant States of Polarization

Gao¹,

Qian²,

Zhang³

et al. 2017

PIER M

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Abstract-The interference behaviors of a vector optical field with both radially and azimuthally variant states of polarization (SoP) through the Young's two-slits are theoretically studied. The optical field distribution with periodic stripes in the far field results from the interference of the vector optical field through the Young's two-slits with different initial SoP distributions. It is found that the far-field distribution can be manipulated by the incident vector optical field with the initial phase and SoP distributions. Particularly, the distribution of radially-variant SoP in the cross-section of the incident optical field provides an additional freedom to control the interference patterns of the x-component, y-component and total intensity distribution in far field. This approach provides a new method to further expand the functionality of an optical system by considering the distribution of SoP in field cross-section.

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“…The method of analysis adopted here is the Kobayashi Potential (KP) method. The method has been successfully applied to potential [16,17] as well as scattering problems for different geometries [18][19][20][21][22]. Imposition of the boundary conditions result in dual integral equations (DIEs).…”

Section: Introductionmentioning

confidence: 99%

Diffraction of Electromagnetic Plane Wave From a Slit in Pemc Plane

Imran¹,

Naqvi²,

Hongo³

2009

PIER M

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Abstract-In the present investigation, diffraction from a slit in perfectly electromagnetic conducting (PEMC) plane has been studied. Both the E-and H-polarization are considered and the method of analysis is Kobayashi Potential (KP). The mathematical formulation involves dual integral equations (DIEs). These DIEs are solved by using the discontinuous properties of Weber-Schafheitlin's integral. The resulting expressions, finally, reduce to matrix equations. These are then used to compute the values of unknown expansion coefficients. Numerical results are presented for different parameters of interest especially the dependance of co-polarized and cross-polarized components on the admittance parameter.

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Diffraction of Plane Wave by Two Parallel Slits in an Infinitely Long Impedance Plane Using the Method of Kobayashi Potential

Cited by 28 publications

References 6 publications

Diffraction From a Slit in an Impedance Plane Placed at the Interface of Two Semi-Infinite Half Spaces of Different Media

Diffraction From a Slit in an Impedance Plane Placed at the Interface of Two Semi-Infinite Half Spaces of Different Media

The Two-Slit Interference of Vector Optical Fields With Both Radially and Azimuthally Variant States of Polarization

Diffraction of Electromagnetic Plane Wave From a Slit in Pemc Plane

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