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• W2160053252 abstract "The spatial field distribution is the most frequent subject of standard electrostatic analysis. In this paper the system of several conducting strips is embedded in external spatial- harmonic electric field causing the charge distribution on them. The solution is constructed as a linear combination of certain template functions, evaluated in spectral domain and satisfying the electric boundary conditions on the strips. The problem is analogous to wave scattering; this justifies the application of the wave-scattering terminology (i.e. 'incident wave' for the external field and the corresponding 'radiation conditions') in the considered nonstandard 'electrostatic scattering' problem. The strip total charge and the Bloch harmonics of the 'scattered' field are evaluated. proper one because of its poor numerical accuracy resulting from square-root singularities of σ(x) on strip edges. Direct evaluation of charge spatial spectrum was proposed in work of Danicki (4) for limited number of arbitrary strips without the external electric field. The solution is constructed as a linear combination of certain template functions, being repeated convolutions of Bessel functions, evaluated in spectral domain and satisfying the electric boundary conditions on the strips. The spatial field distribution is only necessary for evaluation of the strip potential and charge integrals in order to formulate the system of equations resulting from the circuit theory (the Kirchhoff's laws). The solution of the one yields the summation coefficients. In the present paper the same template functions are used to build the solution of electrostatic problem for the finite system of arbitrary strips in external electric field. The solution is constructed in spectral domain, and electric field distribution is obtained by inverse Fourier transformation. The problem is referred to as an 'electrostatic scattering,' because this external electric field is assumed to be a spatial harmonic function like that in the electromagnetic scattering problem. The similar problem for infinite periodic system of strips (or groups of strips) was solved in the paper of Danicki (5), where another template functions are defined, which are actually the discrete spectral functions (due to the system periodicity) represented by the Fourier series involving Legendre polynomials Pn. The idea is exploited in this paper for the case of finite non-periodic system of arbitrary strips." @default.
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• W2160053252 date "2006-03-10" @default.
• W2160053252 modified "2023-09-27" @default.
• W2160053252 title "Nonstandard electrostatic problem for saw interdigital transducer in external electric field" @default.
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• W2160053252 doi "https://doi.org/10.1109/ultsym.2005.1603169" @default.
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