Results 11 to 20 of about 1,878 (250)
Fresnel Integral Computation Techniques [PDF]
, 2020 This work is an extension of previous work by Alazah et al. [M. Alazah, S. N. Chandler-Wilde, and S. La Porte, Numerische Mathematik, 128(4):635-661, 2014]. We split the computation of the Fresnel Integrals into 3 cases: a truncated Taylor series, modified trapezoid rule and an asymptotic expansion for small, medium and large arguments respectively ...
Ionut, Alexandru, Hateley, James C.
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Equivalent functions for the Fresnel integral
Optics Express, 2005 Fresnel integral is modeled with three equivalent functions. The first function is derived by considering the sum of the first term of the Fresnel integral's asymptotic expansion {F(x)} and an exponential function which approaches to infinity at the zero of the Fresnel function's argument and has the properties of a unit step function.
Yusuf Ziya Umul
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Chebyshev Approximations for the Fresnel Integrals [PDF]
Mathematics of Computation, 1968 Rational Chebyshev approimations have been computed for the Fresnel integrals C ( x ) C(x) and S ( x ) S(x) for arguments in the intervals [ 0. , 1.2 ] [0.,1.2] and [ 1.2 ,
W. J. Cody
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Rational approximations for the Fresnel integrals [PDF]
Mathematics of Computation, 1985 A class of simple rational polynomial approximations for the Fresnel integrals is given with maximum errors from 1.7 × 10 − 3 1.7 \times {10^{ - 3}} down to 4 × 10
Mark A. Heald
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Revista Técnica de la Facultad de Ingeniería, 2015 El efecto de la atenuación causada por obstáculos tipo “filo de cuchillo” es un importante problema de comunicación para receptores fijos y/o móviles.
Venancio Balassone, Hernán Romero
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Algorithm 244: Fresnel integrals [PDF]
Communications of the ACM, 1964 Helmut Lotsch, Malcolm Gray
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Validation of Fresnel–Kirchhoff Integral Method for the Study of Volume Dielectric Bodies
Applied Sciences, 2021 In this work, we test a nondestructive optical method based on the Fresnel–Kirchhoff integral, which could be applied to different fields of engineering, such as detection of small cracks in structures, determination of dimensions for small components ...
Soumia Imane Taleb +7 more
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Algorithm 213: Fresnel integrals [PDF]
Communications of the ACM, 1963 M. D. Gray
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Propagation Properties of an Astigmatic Cos-Gaussian Beam through Turbulent Atmosphere [PDF]
E3S Web of Conferences, 2021 We use the extended Huygens-Fresnel integral to investigate the propagation properties of a cos-Gaussian beam (cosGB) with astigmatism in atmospheric turbulence.
Zhu Kaicheng +4 more
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Cumhuriyet Science Journal, 2023 In the present work, a computer simulation program generates Fresnel diffraction patterns from small-size apertures using illumination wavelengths from extreme ultraviolet (XUV) to the visible region suggesting that it can be used to model a wide range ...
Muhammed Sayraç +2 more
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