Singular Integral Equations in Electromagnetic Waves Reflection Modeling
نویسندگان
چکیده
منابع مشابه
Solving singular integral equations by using orthogonal polynomials
In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first kind. A singular integral equation is converted to a system of algebraic equations based on using special properties of Chebyshev series. The error bounds are also stated for the regular part of approximate solut...
متن کاملSolutions for Singular Volterra Integral Equations
0 gi(t, s)[Pi(s, u1(s), u2(s), · · · , un(s)) + Qi(s, u1(s), u2(s), · · · , un(s))]ds, t ∈ [0, T ], 1 ≤ i ≤ n where T > 0 is fixed and the nonlinearities Pi(t, u1, u2, · · · , un) can be singular at t = 0 and uj = 0 where j ∈ {1, 2, · · · , n}. Criteria are offered for the existence of fixed-sign solutions (u∗1, u ∗ 2, · · · , u ∗ n) to the system of Volterra integral equations, i.e., θiu ∗ i (...
متن کاملApproximate solution of singular integral equations
K e y w o r d s I n t e g r a l equations, Cauchy type, Singular kernels. 1. I N T R O D U C T I O N Singular integral equations of the first kind, with a Cauchy type singular kernel, over a finite interval can be represented by the general equation f f _ l f(t)[ko(t,x)+k(t,x)]dt = g(x), 1 < x < 1, (1.1) 1 where ko(t, x) x) t) 0) (1.2) t x ' and k are regular square in tegrab le funct ions of t...
متن کاملGalerkin Methods for Singular Integral Equations
The approximate solution of a singular integral equation by Galerkin's method is studied. We discuss the theoretical aspects of such problems and give error bounds for the approximate solution.
متن کاملFlat metasurfaces to focus electromagnetic waves in reflection geometry.
We show that a flat metasurface with a parabolic reflection-phase distribution can focus an impinging plane wave to a point image in reflection geometry. Our system is much thinner than conventional geometric-optics devices and does not suffer the energy-loss issues encountered by many metamaterial devices working in transmission geometry. We designed realistic microwave samples and performed n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Science, Technology and Engineering Systems Journal
سال: 2017
ISSN: 2415-6698
DOI: 10.25046/aj020312