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Fresnel-integral approximation
IEEE Antennas and Propagation Magazine, 1995In diffraction analysis, an approximation to K/sub -/(x)=1/(/spl radic//spl pi/)e/sup ix(2)+i/spl pi//4//spl int//sub x//sup /spl infin//e/sup -it(2)/ dt, (0 >
I. Lok Chang, W.H.J. Fuchs, W.K. Hayman
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Proceedings of the IEE Part C: Monographs, 1962
The Fresnel surface integral is defined as ∫ exp (j½πρ 2 )dS taken over a sector of infinite radius and of angle γ, with its centre at a distance ρ0 from the origin of co-ordinates and with one of its boundaries lying on a radial drawn through the origin. Expansions are developed from which the integral can be computed for a given value of γ over the
G. Millington, R. Hewitt, F.S. Immirzi
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The Fresnel surface integral is defined as ∫ exp (j½πρ 2 )dS taken over a sector of infinite radius and of angle γ, with its centre at a distance ρ0 from the origin of co-ordinates and with one of its boundaries lying on a radial drawn through the origin. Expansions are developed from which the integral can be computed for a given value of γ over the
G. Millington, R. Hewitt, F.S. Immirzi
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New Approximations for the Fresnel Integrals
Journal of Electromagnetic Waves and Applications, 2000Summary: New approximate relations are presented for the sine and cosine Fresnel integrals based on a least-squares fit for the sine and cosine functions in the integrands. It is found that the resulting polynomial expressions are extremely accurate and particularly useful for small arguments where the usual asymptotic series approximations are not ...
Hamid, M. +7 more
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Trigonometric sums and fresnel-type integrals
Proceedings of the Indian Academy of Sciences - Section A, 1967If the partial sums of a trigonometric series are non-negative and two additional conditions are satisfied, then the given series is a Fourier series. One of these conditions is analysed here and necessary expansions and numerical values are given.
Halbgewachs, R. D., Shah, S. M.
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Fresnel vector diffraction integral
Technical Physics Letters, 1997The Huygens-Fresnel principle modified for electromagnetic waves is used to achieve matching by generalizing the wave number to a complex value. In this way, it is possible to describe the field directly beyond a diffracting object.
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Moivre's and Fresnel's Integrals by Simple Integration
The American Mathematical Monthly, 1979No abstract.
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Fresnel Integrals and Feynman Integrals
2003In Part II of this book a transition is made as certain selected topics are considered. Among these are path integrals, zeta functions, and some applications of the Selberg trace formula. In some cases it will not be possible to develop all of the relevant background material.
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