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Original Articles

Evaluation of the Field near a Cusp of a Caustic

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Pages 1331-1358 | Published online: 03 Dec 2010

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N. Sergienko, J.J. Stamnes, V. Kettunen, M. Kuittinen, J. Turunen, P. Vahimaa & A.T. Friberg. (1999) Comparison of electromagnetic and scalar methods for evaluation of diffractive lenses. Journal of Modern Optics 46:1, pages 65-82.
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Articles from other publishers (24)

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D.P. Hewett, J.R. Ockendon & V.P. Smyshlyaev. (2019) Contour integral solutions of the parabolic wave equation. Wave Motion 84, pages 90-109.
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J Mumford, W Kirkby & D H J O’Dell. (2017) Catastrophes in non-equilibrium many-particle wave functions: universality and critical scaling. Journal of Physics B: Atomic, Molecular and Optical Physics 50:4, pages 044005.
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Gerardo Ruiz-Chavarria, Michael Le Bars & Patrice Le Gal. 2014. Experimental and Computational Fluid Mechanics. Experimental and Computational Fluid Mechanics 315 325 .
S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii & T. Ya. Tudorovskii. (2014) New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Theoretical and Mathematical Physics 177:3, pages 1579-1605.
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Сергей Юрьевич Доброхотов, Sergei Yur'evich Dobrokhotov, Г Макракис, G N Makrakis, Владимир Евгеньевич Назайкинский, Vladimir Evgen'evich Nazaikinskii, Тимур Яковлевич Тудоровский & Timur Yakovlevich Tudorovskii. (2013) Новые формулы для канонического оператора Маслова в окрестности фокальных точек и каустик в двумерных квазиклассических асимптотикахNew formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 177:3, pages 355-386.
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Monika Borwińska & Grażyna Mulak. (2007) Compton scattering of the accelerator radiation in cylindrical cavity wall. Optik 118:4, pages 153-157.
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Johannes Kofler & Nikita Arnold. (2006) Axially symmetric focusing as a cuspoid diffraction catastrophe: Scalar and vector cases and comparison with the theory of Mie. Physical Review B 73:23.
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Michael TrottMichael Trott. 2006. The Mathematica GuideBook for Numerics. The Mathematica GuideBook for Numerics 1 967 .
Monika Borwiñska & Grażyna Mulak. (2003) Some remarks on intensity calculations near the caustic. Optik 114:9, pages 413-417.
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N. Sergienko, V. Dhayalan & J.J. Stamnes. (2001) Comparison of focusing properties of conventional and diffractive lenses. Optics Communications 194:4-6, pages 225-234.
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N Sergienko, J J Stamnes, V Kettunen, M Kuittinen, J Turunen, P Vahimaa & A T Friberg. (1999) Asymptotic methods for evaluation of diffractive lenses. Journal of Optics A: Pure and Applied Optics 1:4, pages 552-559.
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Jakob J. Stamnes & Halvor Heier. (1998) Scalar and Electromagnetic Diffraction Point-Spread Functions. Applied Optics 37:17, pages 3612.
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R. B. Paris. (1994) A Generalization of Pearcey’s Integral. SIAM Journal on Mathematical Analysis 25:2, pages 630-645.
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D. Kaminski. (1992) Asymptotics of the Swallowtail Integral Near the Cusp of the Caustic. SIAM Journal on Mathematical Analysis 23:1, pages 262-285.
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PHILIP L. MARSTON. 1992. 1 234 .
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Jakob J. Stamnes. (1989) Hybrid integration technique for efficient and accurate computation of diffraction integrals. Journal of the Optical Society of America A 6:9, pages 1330.
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David Kaminski. (1989) Asymptotic Expansion of the Pearcey Integral Near the Caustic. SIAM Journal on Mathematical Analysis 20:4, pages 987-1005.
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J. N. L. Connor & P. R. Curtis. (1984) Differential equations for the cuspoid canonical integrals. Journal of Mathematical Physics 25:10, pages 2895-2902.
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J N L Connor, P R Curtis & D Farrelly. (1984) The uniform asymptotic swallowtail approximation: practical methods for oscillating integrals with four coalescing saddle points. Journal of Physics A: Mathematical and General 17:2, pages 283-310.
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J. N. L. Connor, P. R. Curtis, C. J. Edge & A. Laganà. (1984) The uniform asymptotic swallowtail approximation: Application to the collinear H+F2 chemical reaction. The Journal of Chemical Physics 80:3, pages 1362-1363.
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