Incident Plane Wave

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Ning Yan Zhu - One of the best experts on this subject based on the ideXlab platform.

  • Numerical study of diffraction of a normally Incident Plane Wave at a hollow wedge with different impedance sheet faces by the method of parabolic equation
    Radio Science, 2001
    Co-Authors: Ning Yan Zhu, Mikhail A. Lyalinov
    Abstract:

    The problem of diffraction of a normally Incident Plane Wave at a hollow wedge formed by two different semi-infinite planar impedance sheets is studied numerically by using the parabolic equation (PE) method. It is assumed that either the electric or the magnetic field is parallel to the edge of the wedge. After having proved the uniqueness of the solution of the parabolic equation for passive wedge faces, the PE is solved via Crank-Nicolson finite difference scheme. A good agreement between the PE numerical results and available results for specific cases has been shown. In addition, the diffraction behavior dependent upon the parameters of the wedge faces has been displayed by several examples.

  • diffraction of a skewly Incident Plane Wave by an anisotropic impedance wedge a class of exactly solvable cases
    Wave Motion, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Abstract The Sommerfeld–Malyuzhinets’ technique and the special function χΦ, which is originally introduced in the study of Wave diffraction by a wedge located in a gyroelectric medium, have been used to find the exact solution for diffraction of a skewly Incident and arbitrarily polarized Plane Wave by wedges with an arbitrary opening angle and with a class of specific, but in general non-axial anisotropic face impedances. Just for these impedance faces suitable linear combinations of the field components parallel to the edge of the wedge are no longer completely related to each other on the wedge surfaces; an application of the Sommerfeld–Malyuzhinets’ technique to these boundary conditions then leads to inhomogeneous difference equations for the spectral functions; in terms of the χΦ function these functional equations are transformed to such simple forms that their closed-form exact solutions are given immediately. The uniform asymptotic expansion is then obtained via the method of saddle point. This solution coincides with exact solutions for tensor impedance wedges illuminated by a normally Incident Plane Wave and agrees very well with both analytical perturbation solution as well as numerical results of the method of parabolic equation for a skewly Incident Plane Wave. Typical diffraction behavior dependent on the skewness of the Incident Wave is also shown.

  • Diffraction of a normally Incident Plane Wave at a wedge with identical tensor impedance faces
    IEEE Transactions on Antennas and Propagation, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Diffraction of a normally Incident Plane Wave by a wedge with identical tensor impedance faces is studied and an exact solution is obtained by reducing the original problem to two decoupled and already solved ones. A uniform asymptotic solution then follows from the exact one and agrees excellently with numerical results due to the method of parabolic equation.

  • Diffraction of a skewly Incident Plane Wave by an anisotropic impedance wedge – a class of exactly solvable cases
    Wave Motion, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Abstract The Sommerfeld–Malyuzhinets’ technique and the special function χΦ, which is originally introduced in the study of Wave diffraction by a wedge located in a gyroelectric medium, have been used to find the exact solution for diffraction of a skewly Incident and arbitrarily polarized Plane Wave by wedges with an arbitrary opening angle and with a class of specific, but in general non-axial anisotropic face impedances. Just for these impedance faces suitable linear combinations of the field components parallel to the edge of the wedge are no longer completely related to each other on the wedge surfaces; an application of the Sommerfeld–Malyuzhinets’ technique to these boundary conditions then leads to inhomogeneous difference equations for the spectral functions; in terms of the χΦ function these functional equations are transformed to such simple forms that their closed-form exact solutions are given immediately. The uniform asymptotic expansion is then obtained via the method of saddle point. This solution coincides with exact solutions for tensor impedance wedges illuminated by a normally Incident Plane Wave and agrees very well with both analytical perturbation solution as well as numerical results of the method of parabolic equation for a skewly Incident Plane Wave. Typical diffraction behavior dependent on the skewness of the Incident Wave is also shown.

Mikhail A. Lyalinov - One of the best experts on this subject based on the ideXlab platform.

  • Numerical study of diffraction of a normally Incident Plane Wave at a hollow wedge with different impedance sheet faces by the method of parabolic equation
    Radio Science, 2001
    Co-Authors: Ning Yan Zhu, Mikhail A. Lyalinov
    Abstract:

    The problem of diffraction of a normally Incident Plane Wave at a hollow wedge formed by two different semi-infinite planar impedance sheets is studied numerically by using the parabolic equation (PE) method. It is assumed that either the electric or the magnetic field is parallel to the edge of the wedge. After having proved the uniqueness of the solution of the parabolic equation for passive wedge faces, the PE is solved via Crank-Nicolson finite difference scheme. A good agreement between the PE numerical results and available results for specific cases has been shown. In addition, the diffraction behavior dependent upon the parameters of the wedge faces has been displayed by several examples.

  • diffraction of a skewly Incident Plane Wave by an anisotropic impedance wedge a class of exactly solvable cases
    Wave Motion, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Abstract The Sommerfeld–Malyuzhinets’ technique and the special function χΦ, which is originally introduced in the study of Wave diffraction by a wedge located in a gyroelectric medium, have been used to find the exact solution for diffraction of a skewly Incident and arbitrarily polarized Plane Wave by wedges with an arbitrary opening angle and with a class of specific, but in general non-axial anisotropic face impedances. Just for these impedance faces suitable linear combinations of the field components parallel to the edge of the wedge are no longer completely related to each other on the wedge surfaces; an application of the Sommerfeld–Malyuzhinets’ technique to these boundary conditions then leads to inhomogeneous difference equations for the spectral functions; in terms of the χΦ function these functional equations are transformed to such simple forms that their closed-form exact solutions are given immediately. The uniform asymptotic expansion is then obtained via the method of saddle point. This solution coincides with exact solutions for tensor impedance wedges illuminated by a normally Incident Plane Wave and agrees very well with both analytical perturbation solution as well as numerical results of the method of parabolic equation for a skewly Incident Plane Wave. Typical diffraction behavior dependent on the skewness of the Incident Wave is also shown.

  • Diffraction of a normally Incident Plane Wave at a wedge with identical tensor impedance faces
    IEEE Transactions on Antennas and Propagation, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Diffraction of a normally Incident Plane Wave by a wedge with identical tensor impedance faces is studied and an exact solution is obtained by reducing the original problem to two decoupled and already solved ones. A uniform asymptotic solution then follows from the exact one and agrees excellently with numerical results due to the method of parabolic equation.

  • Diffraction of a skewly Incident Plane Wave by an anisotropic impedance wedge – a class of exactly solvable cases
    Wave Motion, 1999
    Co-Authors: Mikhail A. Lyalinov, Ning Yan Zhu
    Abstract:

    Abstract The Sommerfeld–Malyuzhinets’ technique and the special function χΦ, which is originally introduced in the study of Wave diffraction by a wedge located in a gyroelectric medium, have been used to find the exact solution for diffraction of a skewly Incident and arbitrarily polarized Plane Wave by wedges with an arbitrary opening angle and with a class of specific, but in general non-axial anisotropic face impedances. Just for these impedance faces suitable linear combinations of the field components parallel to the edge of the wedge are no longer completely related to each other on the wedge surfaces; an application of the Sommerfeld–Malyuzhinets’ technique to these boundary conditions then leads to inhomogeneous difference equations for the spectral functions; in terms of the χΦ function these functional equations are transformed to such simple forms that their closed-form exact solutions are given immediately. The uniform asymptotic expansion is then obtained via the method of saddle point. This solution coincides with exact solutions for tensor impedance wedges illuminated by a normally Incident Plane Wave and agrees very well with both analytical perturbation solution as well as numerical results of the method of parabolic equation for a skewly Incident Plane Wave. Typical diffraction behavior dependent on the skewness of the Incident Wave is also shown.

R.a. Shore - One of the best experts on this subject based on the ideXlab platform.

  • The currents on a cylinder illuminated by a general obliquely-Incident Plane Wave
    IEEE Transactions on Antennas and Propagation, 1995
    Co-Authors: T.b. Hansen, R.a. Shore
    Abstract:

    A relation is presented that determines the total current induced by a general Plane Wave obliquely Incident or a perfectly electrically conducting cylinder of arbitrary cross section from the total current induced by a normally Incident Plane Wave. Remarkably, this same relation ran also be used to determine the physical optics (PO) and nonuniform (NU) currents for oblique incidence directly from the PO and NU currents, respectively, for normal incidence.

S.t. Peng - One of the best experts on this subject based on the ideXlab platform.

  • Distribution of current induced on metal-strip gratings by Plane Wave
    IEEE Transactions on Microwave Theory and Techniques, 1998
    Co-Authors: C.m. Shiao, S.t. Peng
    Abstract:

    In this paper, we present a rigorous analysis of current distribution induced on a metal-strip grating by an Incident Plane Wave. The metal strips of the grating are characterized by a complex permittivity, with a large imaginary part to account for their finite conductivity. Such a scattering problem is formulated by the mode-matching method to determine the scattered fields everywhere, so that the volume distribution of current within a metal strip can be explicitly obtained. Numerical results are given to illustrate the effects of the dielectric constant of the surrounding media, as well as the Incident angle and polarization on the current distribution induced by an Incident Plane Wave. The air and metal modes form the basis for physical explanations of the numerical results obtained.

Akhlesh Lakhtakia - One of the best experts on this subject based on the ideXlab platform.