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31 May 2002 Numerical simulation of plane wave diffraction by micro-objects
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The problem of diffraction of monochromatic electromagnetic TE- and TM-waves by a 2D (cylindrical) object with inhomogeneous permittivity is reduced to solving the integral Helmotz equations of the second kind (separately for each type of polarization). The integral equations are obtained using Green's theorem, two Helmhotz's equations applied to the inhomogeneous object and homogeneous background, as well as by imposing boundary conditions on the object's surface. Using the finite-elements method the equations are reduced to a set of linear algebraic equations. Computer-aided simulation of diffraction of the plane TE-wave by a homogeneous dielectric cylinder of circular cross-section and the diameter of the wavelength has demonstrated good agreement between the patterns obtained through solving the integral equation and through the rigorous analytical solution as a Bessel series.
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Victor V. Kotlyar and M. A. Lichmanov "Numerical simulation of plane wave diffraction by micro-objects", Proc. SPIE 4705, Saratov Fall Meeting 2001: Coherent Optics of Ordered and Random Media II, (31 May 2002);

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