Abstract
The scattering process of plane waves by a discontinuous edge contour is studied with the three dimensional boundary diffraction wave theory. The edge and corner diffracted fields are obtained from the stationary phase and edge point evaluations of the line integral. A new corner diffraction coefficient is derived. The behaviors of the uniform edge and corner diffracted waves are investigated numerically.
Similar content being viewed by others
References
Assier, R.C., Peake, N.: On the diffraction of acoustic waves by a quarter-plane. Wave Motion 49, 64–82 (2012)
Capolino, F., Maci, S.: Uniform high-frequency description of singly, doubly, and vertex diffracted rays for a plane angular sector. J. Electromagn. Waves Appl. 10, 1175–1197 (1996)
Carroll, B.D., Brge, R.E.: Experimental confirmation of recent results in GTD applied to a conducting quarter plane. J. Mod. Opt. 39, 1205–1220 (1992)
Hansen, T.B.: Diffraction by a plane angular sector, a new derivation. IEEE Trans. Antennas Propag. 38, 1892–1894 (1990)
Hansen, T.B.: Corner diffraction coefficients for the quarter plane. IEEE Trans. Antennas Propag. 39, 976–984 (1991)
Maci, S., Tiberio, R., Toccafondi, A.: Diffraction at a plane angular sector. J. Electromagn. Waves Appl. 8, 1247–1276 (1994)
Radlow, J.: Diffraction by a quarter-plane. Arch. Ration. Mech. Anal. 8, 139–158 (1961)
Satterwhite, R.: Diffraction by a quarter plane, the exact solution and some numerical results. IEEE Trans. Antennas Propag. 22, 500–503 (1974)
Sikta, F.A., Burnside, W.D., Chu, T.-T., Peters Jr., L.: First-order equivalent current and corner diffraction scattering from flat plate structures. IEEE Trans. Antennas Propag. 31, 584–589 (1983)
Taket, N.D., Burge, R.E.: A physical optics version of the geometrical theory of diffraction. IEEE Trans. Antennas Propag. 39, 719–731 (1991)
Umul, Y.Z.: Equivalent functions for the Fresnel integral. Opt. Express 13, 8469–8482 (2005)
Umul, Y.Z.: Modified diffraction theory of Kirchhoff. J. Opt. Soc. Am. A 25, 1850–1860 (2008a)
Umul, Y.Z.: MTPO based potential function of the boundary diffraction wave theory. Opt. Laser Technol. 40, 769–774 (2008b)
Umul, Y.Z.: Three dimensional modified theory of physical optics. Optik-Int. J. Light Electron Opt. 127, 819–824 (2016)
Umul, Y.Z.: Three dimensional theory of the boundary diffraction wave. Optik-Int. J. Light Electron Opt. 183, 200–202 (2019)
Zhang, X., Inagaki, N., Kikuma, N.: A corner diffraction formula. In: Digest on Antennas and Propagation Society International Symposium, IEEE, pp. 1290–1293 (1989)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Umul, Y.Z. Boundary diffraction wave theory approach to corner diffraction. Opt Quant Electron 51, 375 (2019). https://doi.org/10.1007/s11082-019-2103-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-019-2103-6