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ZEROES OF GENERALIZED FRESNEL COMPLEMENTARY INTEGRAL FUNCTIONS
Revista de Matemática: Teoría y Aplicaciones, 2016 Theoretical upper and lower bounds are established for zeroes of a parametric family of functions which are defined by integrals of the same type as the Fresnel complementary integral.
Jaime Lobo Segura +1 more
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A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation [PDF]
Journal of Mathematics, 2022 A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
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Smooth frequency change effects in electrical circuits: explained by the Fresnel integral [PDF]
SN Applied Sciences, 2022 The paper presents the problem of the relation between ac voltage frequency supplying a circuit and the resulting current frequency in that circuit in the case when the voltage frequency changes smoothly following a $${f}_{{v}}\left(t\right)$$ f v t ...
Piotr Wach
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Orange Peels and Fresnel Integrals [PDF]
The Mathematical Intelligencer, 2012 There are two standard ways of peeling an orange: either cut the skin along meridians, or cut it along a spiral. We consider here the second method, and study the shape of the spiral strip, when unfolded on a table. We derive a formula that describes the corresponding flattened-out spiral.
Bartholdi, Laurent, Henriques, A.G.
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Computation of Fresnel integrals. II
Journal of Research of the National Institute of Standards and Technology, 2000 This paper describes an improved method for computing Fresnel integrals with an error of less than 1 × 10(-9). The method is based on a known approximate formula for a different integral which is due to Boersma and referenced by Abramowitz and Stegun.
K.D. Mielenz
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Comparative Study of Numerical Methods for Solving the Fresnel Integral in Aperiodic Diffractive Lenses [PDF]
Mathematics, 2023 In this work, we present a comparative analysis of different numerical methods to obtain the focusing properties of the zone plates based on Fibonacci and Cantor sequences.
Adrián Garmendía-Martínez +6 more
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On the Fresnel integrals and the convolution [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line.
Adem Kiliçman, Brian Fisher
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A Fresnel Cosine Integral WASD Neural Network for the Classification of Employee Attrition [PDF]
Mathematics, 2023 Employee attrition, defined as the voluntary resignation of a subset of a company’s workforce, represents a direct threat to the financial health and overall prosperity of a firm.
Hadeel Alharbi +6 more
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IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450), 2004 A new representation is developed for the fields excited on a planar dielectric interface by an arbitrarily incident electromagnetic field. The new formulation is obtained by analytically inverting the spatial-domain boundary integral equation (BIE) formulation of the half-space scattering problem.
R.J. Adams, B.A. Davis
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Two-way ANOVA gage R&R working example applied to speckle intensity statistics due to different random vertical surface roughness characteristics using the Fresnel diffraction integral [PDF]
Metrology and Measurement Systems, 2020 We present computer simulations of a two-way ANOVA gage R&R study to determine the effects on the average speckle width of intensity patterns caused by scattered light reflected from random rough surfaces with different statistical characteristics.
Cywiak Moisés +2 more
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