WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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  • Article
    Diffraction in Time of Matter Waves Located in a Confined Region
    (Springer Heidelberg, 2022) Umul, Yusuf Z.
    The process of diffraction in time of a standing matter wave is studied. This case occurs generally when a quantum particle is confined in a trap or infinite potential well. First of all, the wave-function of a classical time diffracted matter wave is studied by considering a separation of the Fresnel function in terms of geometrical optics and diffracted waves. The behavior of the matter wave which is the counterpart of a geometrical optics field is investigated. Then a confined particle in a one-dimensional infinite potential well is taken into account. One of the walls of the trap is remained at an initial time and the process of diffraction in time is formulated by using the information, obtained from the geometrical optics fields. Some numerical results are given. This paper proposes two original approaches. The first one is the application of the optical diffraction theory to quantum physics. This is the separation of the scattered field into geometric optics and diffracted wave components. The second novelty is the addition of the effects of both of the traveling waves, which compose the standing wave, to the scattering integral.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Modified Theory of Physical Optics Approach To Diffraction by an Interface Between Pemc and Absorbing Half-Planes
    (Lgep-supelec, 2021) Umul, Yusuf Z.
    The scattering of electromagnetic plane waves by an interface, located between perfect electromagnetic conductor and absorbing half-planes, is investigated. The perfect electromagnetic conductor half-plane is divided into perfect electric conductor and perfect magnetic conductor half-screens. The same decomposition is done for the absorbing surface. Then four different geometries are defined according to this approach. The scattered fields by the four sub-problems are obtained with the aid of the modified theory of physical optics. The resultant scattering integrals are combined in a single expression by using key formulas, defined for the perfect electromagnetic conductor and absorbing surfaces. The diffracted and geometric optics fields are obtained by the asymptotic evaluation of the scattering integral for large values of the wave-number. The behaviors of the derived field expressions are analyzed numerically.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    General Formulation of the Scattered Matter Waves by a Quantum Shutter
    (2009) Umul, Z. Yusuf; Umul, Yusuf Z.
    The scattering process of matter waves by a quantum shutter is investigated by using the spectrum integral representation. The scattered fields are expressed in terms of the Fresnel function. It is shown that the obtained equation gives the Moshinsky function for a one dimensional problem of the plane wave. Also a general integral representation is derived for two dimensional problems. The scattering of matter waves for some special wave-packets are examined analytically and numerically.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Diffraction of Electromagnetic Waves by an Anomalously Transmitting Metasurface Half-Plane in Anisotropic Plasma
    (Elsevier Gmbh, 2020) Umul, Yusuf Z.
    The paper deals with the scattering of magnetic polarized electromagnetic plane waves by a anomalously transmitting metasurface half-plane, located in anisotropic plasma. Such a medium occurs for cold magnetized plasma, in which a static magnetic field exists. In this case the permittivity of the medium is expressed as a tensor, the elements of which are functions of the magnetostatic field, electron's mass and charge and angular frequency of the plasma. The metasurface half-plane transmits part of the incoming electromagnetic wave with a different angle from the angle of incidence, absorbing the remaining part. First of all, we will obtain the scattered geometric optics wave by subtracting the incident field from the total geometric optics wave. Then the kernel of a physical optics type scattering integral will be constructed with the aid of the integral theory of diffraction. The uniform diffracted magnetic field will be obtained from the physical optics integral. The total magnetic field will be evaluated as a sum of the total geometric optics and diffracted waves. The behaviours of the derived fields will be analyzed numerically.
  • Article
    Comparison of Diffraction Methods for Lunar Occultations
    (Elsevier Gmbh, 2020) Umul, Yusuf Z.
    The only analytical method, which is used for the mathematical analysis of lunar occultations, is the Fresnel diffraction. The Fresnel integral is derived from the diffraction integral of Kirchhoff under some approximations. This paper aims to compare this method with the exact solution of Sommerfeld, which is obtained for a perfect electric conductor half-plane. The geometrical optics and diffracted fields are expressed separately. Numerical simulations are given for the comparison of two different total and diffracted waves.
  • Editorial
    Citation - WoS: 1
    Citation - Scopus: 1
    Reply To the "a Comment on "the Photon Momentum
    (Elsevier Gmbh, Urban & Fischer verlag, 2014) Umul, Yusuf Z.
  • Editorial
    Citation - WoS: 5
    Citation - Scopus: 5
    Comments on "on the Modified Theory of Physical Optics
    (Ieee-inst Electrical Electronics Engineers inc, 2014) Umul, Yusuf Z.
  • Correction
    Comment on "a Survey of the New Proposal About the Photon Momentum" (Vol 148, Pg 342, 2017)
    (Elsevier Gmbh, Urban & Fischer verlag, 2018) Umul, Yusuf Z.
  • Article
    Citation - WoS: 34
    Citation - Scopus: 37
    Diffraction of Evanescent Plane Waves by a Resistive Half-Plane
    (Optical Soc Amer, 2007) Umul, Yusuf Z.
    Diffraction of evanescent plane waves by a resistive half-plane is examined. The scattering integrals are constructed with the modified theory of physical optics. These integrals are evaluated uniformly by using an unusual method. The scattered fields of evanescent waves are obtained by giving the angle of incidence a complex value. The diffracted waves are plotted numerically for different parameters of the incident field. (c) 2007 Optical Society of America.