EDW: edge diffraction wave, edge dislocation wave, or whether tertio est datur? The bicentenary of Thomas Young's wave diffraction theory

2002 ◽  
Author(s):  
Peter V. Polyanskii ◽  
Galina V. Bogatiryova
Keyword(s):  
Edge Dislocation ◽  
Wave Diffraction ◽  
Diffraction Theory ◽  
Edge Diffraction ◽  
Diffraction Wave ◽  
Wave Edge

Predicted wave field in a laboratory wave basin

1990 ◽  
Vol 17 (6) ◽  
pp. 1005-1014 ◽  
Author(s):  
Michael Isaacson ◽  
Shiqin Qu
Keyword(s):  
Wave Field ◽  
Wave Diffraction ◽  
Diffraction Theory ◽  
Ocean Engineering ◽  
Laboratory Facilities ◽  
Rectangular Basin ◽  
Diffraction Wave ◽  
Wave Basin ◽  
Wave Generator ◽  
Reflection Boundary

The present paper describes a numerical method for predicting the wave field produced by a segmented wave generator undergoing specified motions in a wave basin which may contain partially reflecting sides. The approach used is based on linear diffraction theory and utilizes a point source representation of the generator segments and any reflecting walls that are present. The method involves the application of a partial reflection boundary condition, which is discussed. Numerical results are presented for the propagating wave field due to specified wave generator motions in a rectangular basin. Cases that are considered include both perfectly absorbing and partially reflecting beaches along the basin sides, as well as the presence of perfectly reflecting short sidewalls near the generator. The method appears able to account adequately for the effects of wave diffraction and partial reflections, and to predict the generated wave field realistically. Key words: coastal engineering, hydrodynamics, laboratory facilities, ocean engineering, wave diffraction, wave generation, wave reflection.

Optical theorem for multipole sources in wave diffraction theory

2016 ◽  
Vol 62 (3) ◽  
pp. 263-268 ◽  
Author(s):  
Yu. A. Eremin ◽  
A. G. Sveshnikov
Keyword(s):  
Wave Diffraction ◽  
Diffraction Theory ◽  
Optical Theorem ◽  
Multipole Sources

The reduction of a pair of singular integral equations

1986 ◽  
Vol 100 (1) ◽  
pp. 175-182 ◽  
Author(s):  
D. Porter
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Wave Diffraction ◽  
Reduction Process ◽  
Singular Integral Equations ◽  
Diffraction Theory ◽  
Single Equation ◽  
Fredholm Equations ◽  
Type Reduction ◽  
Reduction Methods

AbstractA method is derived for converting a pair of coupled singular integral equations of a certain form into a single equation of the same (Cauchy-separable) type. Reduction methods for systems of singular integral equations are generally directed towards the construction of equivalent Fredholm equations. Preservation of the singular nature of the kernel in the reduction process permits the powerful techniques associated with Cauchy kernels to be used in seeking closed solutions of the original pair.The example given, derived previously from a problem in wave diffraction theory, illustrates many aspects of the method.

Reflection effects on wave field within a harbour

1993 ◽  
Vol 20 (3) ◽  
pp. 386-397 ◽  
Author(s):  
Michael Isaacson ◽  
Enda O'Sullivan ◽  
John Baldwin
Keyword(s):  
Numerical Model ◽  
Wave Field ◽  
Wave Reflection ◽  
Diffraction Theory ◽  
Specific Reference ◽  
Wave Source ◽  
Numerical Predictions ◽  
Diffraction Wave ◽  
Reflecting Boundaries ◽  
Reflection Boundary

The present paper outlines a numerical model for predicting the wave field in a harbour with partially reflecting boundaries, and describes laboratory tests undertaken to assess the model. The numerical model is based on linear diffraction theory and involves the application of a partial reflection boundary condition. By utilizing a wave doublet representation of the fluid boundaries instead of the usual wave source representation, the extension is made to general harbour configurations that include breakwaters. Numerical results are compared with known solutions for specific reference configurations. Laboratory measurements have been made of the wave field within a particular harbour model having portions of the boundary corresponding to different degrees of wave reflection. A comparison with the numerical predictions is summarized and highlights the importance of adequately modelling the partial reflections within the harbour. Key words: breakwaters, coastal engineering, harbours, waves, wave diffraction, wave reflection.

Structure of an edge-diffraction wave over a wide angular range

1999 ◽  
Author(s):  
Galina V. Bogatiryova ◽  
Peter V. Polyanskii
Keyword(s):  
Angular Range ◽  
Edge Diffraction ◽  
Diffraction Wave

Structure of an edge-dislocation wave originating in plane-wave diffraction by a half-plane

2000 ◽  
Vol 17 (12) ◽  
pp. 2199 ◽  
Author(s):  
A. I. Khizhnyak ◽  
S. P. Anokhov ◽  
R. A. Lymarenko ◽  
M. S. Soskin ◽  
M. V. Vasnetsov
Keyword(s):  
Plane Wave ◽  
Half Plane ◽  
Edge Dislocation ◽  
Wave Diffraction ◽  
Plane Wave Diffraction

scholarly journals The Uniform Scattered Fields from a Parabolic Surface with the Boundary Diffraction Wave Theory

2017 ◽  
Vol 9 (4) ◽  
pp. 125 ◽  
Author(s):  
Ugur Yalcin ◽  
Can Altingoz
Keyword(s):  
Asymptotic Theory ◽  
Wave Theory ◽  
Physical Optics ◽  
Parabolic Reflector ◽  
Extended Theory ◽  
Wave Part ◽  
Edge Diffraction ◽  
Diffraction Wave ◽  
Scattered Fields ◽  
Modified Theory

The uniform scattered fields of the cylindrical wave from a parabolic surface are obtained with the theory of the boundary diffraction wave (TBDW). The non-uniform diffracted field is calculated with the regenerated vector potential and rearranged by considering the Fresnel function to obtain the uniform solution. The uniform scattered fields are calculated as the sum of the diffracted and the geometrical optic fields. The numerical analyses of the diffracted and scattered fields in both uniform and non-uniform solutions are in harmony with the literature. Full Text: PDF ReferencesBaker, B. B., Copson, E. T., The mathematical theory of the Huygens' principles, 2nd Edition, Oxford Press, (1950). DirectLink Lit, J. W. Y. "Boundary Diffraction Waves due to a General Point Source and Their Applications to Aperture Systems" J. Modern Opt., 19, 1007 (1972). CrossRef Otis, G., "Application of the Boundary Diffraction Wave Theory to Gaussian Beams", J. Opt. Soc. Am., 64, 1545 (1974). CrossRef Ganci, S., "Boundary Diffraction Wave Theory for Rectilinear Apertures", Eur. J. Phys., 18, 229 (1997). CrossRef Longhurst, R. S., Geometrical and Physical Optics, 2nd Edition, Longmans [London], (1968). DirectLink Maggi, G. A., "Sulla Propagazione Libra e Perturbata delle Onde Luminose in un Mezzo Izotropo", Ann. di Mat. IIa, 16, 21 (1888).Rubinowicz, A., "Die Beugungswelle in der Kirchoffschen Theorie der Beugungsercheinungen", Ann. Physik, 4, 257 (1917). CrossRef Miyamoto, K. and Wolf, E., "Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave Part I", J. Opt. Soc. Am., 52, 615 (1962). CrossRef Miyamoto, K., Wolf, E., "Generalization of the Maggi-Rubinowicz Theory of the Boundary Diffraction Wave Part II", J. Opt. Soc. Am., 52, 626 (1962). CrossRef Born, M. and Wolf, E. Principles of Optics Seventh edition, Cambridge Univ. Press, (1999). CrossRef Alt?ngöz, C., Yalç?n, U. "Calculation of the Diffracted Waves from the Edge of an Opaque Cut Cylinder by the Boundary Diffraction Wave Theory", Journal of the Faculty of Eng. and Arch. of Gazi University, 28, 85, (2013). CrossRef Yalç?n, U. "Yutucu Yar?m Düzlemin Kenar?ndan K?r?nan Üniform Alanlar?n S?n?r K?r?n?m Dalgas? Teorisi ile Hesab?", Çankaya Üniversitesi 2.Müh. ve Tek. Sempozyumu, (2009). (In national language) CrossRef Lee, S. W. and G. A. Deschamps, \A uniform asymptotic theory CrossRef Lee, S. W., "Comparison of uniform asymptotic theory and Ufimtsev's theory of electromagnetic edge diffraction," IEEE Trans. Antennas & Propagat., Vol. 25, 162-170, 1977. CrossRef Yalç?n, U., "Uniform Scattered Fields of the Extended Theory of Boundary Diffraction Wave for PEC Surfaces", PIER M, 7, 29, (2009) DirectLink Yalç?n, U., "Analysis of Diffracted Fields with the Extended Theory of the Boundary Diffraction Wave for Impedance Surfaces", Appl. Opt., 50, 296 (2011). CrossRef Sarn?k, M., Yalç?n, U., "Uniform scattered fields from a perfectly conducting parabolic reflector with modified theory of physical optics", Optik-International J. for Light and Electron Opt., 135, 320 (2017). CrossRef Sarn?k, M., Yalç?n, U., "Modified theory of physical optics and solution for scattering fields from a perfectly conducting parabolic reflector", 16th Int. Conference on Math. Met. in Electromagnetic T. (MMET), July 5-7, Ukraine, 349 (2016). CrossRef Umul, Y. Z., Yalç?n, U. "Asymptotic Evaluation of The Edge Diffraction In Cylindric Paraboloidal Surface Antennas", Mathematical & Computational App., 8, 143 (2003). CrossRef Yalç?n, U., "Scattering from a cylindrical reflector: modified theory of physical optics solution", J. Opt. Soc. Am. A, 24, 502 (2007). CrossRef

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