WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Editorial Citation - WoS: 5Citation - Scopus: 5Comments on "on the Modified Theory of Physical Optics(Ieee-inst Electrical Electronics Engineers inc, 2014) Umul, Yusuf Z.Article Citation - WoS: 4Citation - Scopus: 5Application of the Complex Point Source Method To the Schrodinger Equation(Elsevier Sci Ltd, 2010) Umul, Yusuf Z.The paraxial wave equation is a reduced form of the Helmholtz equation. Its solutions can be directly obtained from the solutions of the Helmholtz equation by using the method of complex point source. We applied the same logic to quantum mechanics, because the Schrodinger equation is parabolic in nature as the paraxial wave equation. We defined a differential equation, which is analogous to the Helmholtz equation for quantum mechanics and derived the solutions of the Schrodinger equation by taking into account the solutions of this equation with the method of complex point source. The method is applied to the problem of diffraction of matter waves by a shutter. (C) 2010 Elsevier Ltd. All rights reserved.Article Citation - WoS: 3Citation - Scopus: 4Diffraction of Plane Waves by a Black Wedge(Elsevier Sci Ltd, 2010) Umul, Yusuf Z.The scattering of plane waves by a black wedge is examined. Two methods are considered for the solution of the problem. A closed-form series solution is derived by performing the technique of the separation of variables using boundary conditions of Macdonald. The second approach is the method of the modified theory of physical optics. The results are compared numerically. (C) 2009 Elsevier Ltd. All rights reserved.Article Citation - WoS: 3Citation - Scopus: 4General Formulation of the Edge-Diffracted Paraxial Waves(Elsevier Sci Ltd, 2009) Umul, Yusuf Z.A general formula for edge-diffracted paraxial waves is derived in terms of the Fourier integral transform. It is observed that the scattered paraxial wave can be divided into components of the geometrical optics and diffracted fields in the spectral domain. An edge-diffracted Gaussian beam is examined numerically as an application of the formula. (C) 2008 Elsevier Ltd. All rights reserved.Article Citation - WoS: 11Citation - Scopus: 11Uniform Theory of the Boundary Diffraction Wave(Elsevier Sci Ltd, 2009) Umul, Yusuf Z.A uniform version of the potential function of the Maggi-Rubinowicz boundary diffraction wave theory is obtained by using the large argument expansion of the Fresnel integral. The derived function is obtained for the problem of diffraction of plane waves by a circular edge. The results are plotted numerically. (c) 2008 Elsevier Ltd. All rights reserved.Article Citation - WoS: 33Citation - Scopus: 36Mtpo Based Potential Function of the Boundary Diffraction Wave Theory(Elsevier Sci Ltd, 2008) Umul, Yusuf Z.A novel potential function is introduced by using the modified theory of physical optics integrals for a perfectly conducting half-plane. The function is valid for arbitrary aspects of observation. The line integration of these functions gives the total scattered fields. The method is applied to the problem of diffraction of plane waves by an opaque half-plane for oblique incidence. (c) 2008 Elsevier Ltd. All rights reserved.Article Citation - WoS: 52Citation - Scopus: 55Modified Theory of Physical Optics Solution of Impedance Half Plane Problem(Ieee-inst Electrical Electronics Engineers inc, 2006) Umul, Yusuf Z.The scattering of electric polarized plane waves from an impedance half plane problem is examined by the method of modified theory of physical optics (MTPO). Two integrals, consisting of incident and reflected scattered fields, are obtained. These integrals are evaluated asymptotically by the methods of stationary phase and edge point. The obtained scattered fields are compared with the exact solution numerically.