Resultant Field

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Yusuf Ziya Umul - One of the best experts on this subject based on the ideXlab platform.

  • wave diffraction by a soft hard strip modified theory of physical optics solution
    Optik, 2018
    Co-Authors: Yusuf Ziya Umul
    Abstract:

    Abstract The scattering problem of waves by a strip, the faces of which are composed of soft and hard surfaces, is investigated by the method of modified theory of physical optics. The scattering integral is divided into two parts according to the single effects of the faces. The boundary conditions are integrated into the integrals and the Resultant Field expressions are obtained by the asymptotic evaluation methods. The scattered waves are examined numerically.

  • Wave diffraction by a soft/hard strip: Modified theory of physical optics solution
    Optik, 2018
    Co-Authors: Yusuf Ziya Umul
    Abstract:

    Abstract The scattering problem of waves by a strip, the faces of which are composed of soft and hard surfaces, is investigated by the method of modified theory of physical optics. The scattering integral is divided into two parts according to the single effects of the faces. The boundary conditions are integrated into the integrals and the Resultant Field expressions are obtained by the asymptotic evaluation methods. The scattered waves are examined numerically.

  • Wave diffraction by a right-angled interface between resistive half and whole planes
    AEU - International Journal of Electronics and Communications, 2018
    Co-Authors: Yusuf Ziya Umul
    Abstract:

    Abstract The interaction phenomenon of electromagnetic plane waves by a right angled interface between whole and half screens with different resistivities is studied. The construction, under examination, is considered in order to model various corner discontinuities between transmissive surfaces for indoor wireless communications. First of all, the initial waves, which occur in the absence of the diffracting edge, are determined. Then the scattered geometrical optics Fields are obtained by subtracting the initial waves from the total geometrical optics Fields. The diffracted Field is constructed directly from the scattered geometrical optics wave by a new method. The Resultant Field expressions are examined numerically.

  • A uniform function for the diffraction of spherical waves
    Optik, 2017
    Co-Authors: Yusuf Ziya Umul
    Abstract:

    Abstract A function which occurs in the scattering problem of the spherical waves by a perfectly conducting half-plane is introduced for constructing the transition functions of the uniform theory of diffraction and uniform asymptotic theory of diffraction. The important properties of the function, related with the geometrical optics and diffracted Field components, are derived mathematically. A uniform asymptotic theory of wedge diffraction is introduced based on the new function. The Resultant Field expressions are investigated numerically.

  • Wave diffraction by material half-planes
    Optik, 2017
    Co-Authors: Yusuf Ziya Umul
    Abstract:

    Abstract The diffraction of E -polarized electromagnetic waves by resistive and conductive half-planes is studied. The solution of Maliuzhinets for the scattering problem of plane waves from an impedance half-screen is taken into account. The diffracted Fields from the resistive and conductive half-planes are obtained by using a relation between the scattered waves from material surfaces. The integrals of scattering are also constructed in the complex plane. The Resultant Field expressions are compared with the literature numerically.

Tomohiro Shirai - One of the best experts on this subject based on the ideXlab platform.

  • Some consequences of the van Cittert-Zernike theorem for partially polarized stochastic electromagnetic Fields.
    Optics Letters, 2009
    Co-Authors: Tomohiro Shirai
    Abstract:

    Coherence and polarization properties of the Field generated by a partially polarized incoherent source are examined in terms of the 2×2 cross-spectral density matrix, with a view to deriving an electromagnetic counterpart of the van Cittert-Zernike theorem. Emphasis is placed on the polarization properties of the Field. As some consequences of the extended theorem, we found that the spectral degree of polarization of the Resultant Field is generally different from that of the source and that both are the same in a special case. A different somewhat unconventional view of the extended theorem is also discussed in brief.

  • Modification of Spatial Coherence by Means of Low-Order Zernike-Mode Adaptive Optics
    Optical Review, 2004
    Co-Authors: Tomohiro Shirai
    Abstract:

    Spatial coherence of the Field modified by low-order adaptive optics is analyzed to establish a theoretical basis for the recent idea of using adaptive optics as a spatial coherence modifier. In this context low-order adaptive optics has the ability to correct some of the low-order aberrations specified by Zernike polynomials. The initial Field to be modified is assumed to be a spatially partially coherent one resulting from phase disturbance. It is demonstrated, as in the previous study, that low-order adaptive optics serves to enhance the spatial coherence of the Resultant Field and that the effect of the enhancement becomes stronger as the spatial coherence of the initially partially coherent Field increases. Potential applications of low-order adaptive optics as a spatial coherence modifier are briefly discussed.

  • Adaptive Optics as a Spatial Coherence Modifier
    Optical Review, 2004
    Co-Authors: Tomohiro Shirai, Christopher Dainty
    Abstract:

    The possibility of adaptive optics as a spatial coherence modifier is discussed. The initial Field to be corrected is produced in such a way that a quasi-monochromatic plane wave of light is incident on a moving diffuser plate, so that it is spatially partially coherent. It is shown that adaptive optics serves to enhance the spatial coherence of the Resultant Field and that the magnitude of the enhancement depends on the spatial coherence of the initial Field to be corrected. The results are illustrated by numerical examples based on an idealized low-order adaptive optics system.

  • Spectral Changes of Light Produced by Multiple Scattering from Space-Time Fluctuating Random Media under the Born Approximation
    Optical Review, 1996
    Co-Authors: Tomohiro Shirai, Toshimitsu Asakura
    Abstract:

    Changes in the spectrum of light scattered by space-time fluctuating random media are investigated theoretically within the accuracy of the second-order Born approximation, as a continuation of the previous paper [Opt. Commun. 123 (1996) 234]. Effects of multiple scattering on the Resultant Field are manifested by a number of illustrative examples. It is shown, in particular, that the spectrum of the scattered light to be observed under practical circumstances is distorted by the process of multiple scattering. Comparison between spectra of both single and multiple scattering lights is also presented in the framework of the dynamic scattering.

  • Multiple light scattering from spatially random media under the second-order Born approximation
    Optics Communications, 1996
    Co-Authors: Tomohiro Shirai, Toshimitsu Asakura
    Abstract:

    An expression is derived for the statistically-averaged spectral density of light produced by scattering from spatially random media within the accuracy of the second-order Born approximation. On the basis of the expression derived, effects of multiple scattering on the Resultant Field are investigated by some numerical examples. In particular, spectral changes of the scattered Field are examined with reference to the correlation-induced spectral changes of the Wolf effect. Numerical examples to be illustrated clearly demonstrate that the feature of the Resultant Field varies, depending strongly on the process of multiple scattering.

K.e.k. El-damanawi - One of the best experts on this subject based on the ideXlab platform.

  • The Uniformly Moving Edge Dislocation
    ZAMM, 2001
    Co-Authors: M. A. Jaswon, K.e.k. El-damanawi
    Abstract:

    The classical elastostatic displacement Field has a biharmonic character conveniently expressed by the Papkovich-Neuber formula. This can be readily transformed into the superposition of two distinctive biharmonic components. These can be exhibited as the limits of uniformly moving wave Fields, which are then coupled together to provide an acceptable Resultant Field. Our approach has been successfully applied to recover Easons', solution for a uniformly moving point force, and it is here applied to recover Eshelby's solution for a uniformly moving edge dislocation.

  • Uniformly Moving Elastic Singularities In TheClassical Theory Of Elasticity
    1998
    Co-Authors: M. A. Jaswon, K.e.k. El-damanawi
    Abstract:

    The classical elastostatic displacement Field has a biharmonic character, conveniently expressed by the Papkovich-Neuber formula. This can be quickly transformed into a Stokes-Helmoltz representation involving the superposition of two distinctive biharmonic vectors. These can be exhibited as the limits of uniformly moving Fields, which are then coupled together to provide an acceptable Resultant Field i.e. it satisfies the Navier-Cauchy equations; it reduces to the static limit for a vanishing velocity; and it can be rearranged into Lame's representation involving the superposition of two distinctive wave vectors. Some well well known results of Eshelby,and of Eason et al, obtained by Fourier transform methods, have been recovered by this approach and some further results achieved.

W Steenaa - One of the best experts on this subject based on the ideXlab platform.

  • analysis of n n passive optical star coupler based on the normal modes of n input waveguides
    Journal of Lightwave Technology, 1992
    Co-Authors: K K H Lee, W Steenaa
    Abstract:

    An integrated passive N*N optical star coupler on silicon wafer is described. Antiresonant reflecting optical waveguides (ARROWs) are analyzed and utilized as the input and output waveguides of the N*N coupler. Combining the exact solutions of the slab ARROW waveguide with the effective index method, a 5*5 coupler is analyzed. In the slab waveguide analysis, the input waveguides are coupled to their neighbors. The interaction of the waveguides is described in terms of the normal modes of propagation. The Resultant Field distribution is then diffracted into the free space region which separates the input and output sections. The radiation illuminates the receiving aperture from which the receiving N waveguides branch out, each output element obtaining equal power levels. Different types of loss such as spillover loss and mismatch loss were analyzed and estimated for N=5. A 5*5 star coupler with a transmission efficiency of 56% at a wavelength of 1.3 mu m is achievable. >

Jianjun Jia - One of the best experts on this subject based on the ideXlab platform.