Commenced in January 2007
Paper Count: 30840
Numerical Example of Aperiodic Diffraction Grating
Abstract:Diffraction grating is periodic module used in many engineering fields, its geometrical conception gives interesting properties of diffraction and interferences, a uniform and periodic diffraction grating consists of a number of identical apertures that are equally spaced, in this case, the amplitude of intensity distribution in the far field region is generally modulated by diffraction pattern of single aperture. In this paper, we study the case of aperiodic diffraction grating with identical rectangular apertures where theirs coordinates are modeled by square root function, we elaborate a computer simulation comparatively to the periodic array with same length and we discuss the numerical results.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1129804Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 653
 Lord Rayleigh, ”Note on the Remarkable Case of Diffraction Spectra Described by Prof. Wood,” Philos. Mag. 14, 60, 1907.
 Kassemeyer, Stephan and Jafarpour, Aliakbar and Lomb, Lukas and Steinbrener, Jan and Martin, Andrew V. and Schlichting, Ilme, Optimal mapping of x-ray laser diffraction patterns into three dimensions using routing algorithms, Phys. Rev. E, 2013.
 Wood, R. W, Anomalous Diffraction Gratings, Phys. Rev., Vol. 48, P. 928–936, 1935.
 He, B.B., Introduction to two-dimensional X-ray diffraction, Powder Diffraction, 18(2), pp. 7185, 2003.
 I. A. Avrutsky, M. Fay and J. M. Xu, ”Multiwavelength diffraction and apodization using binary superimposed gratings,” in IEEE Photonics Technology Letters, vol. 10, no. 6, pp. 839-841, June 1998.
 A. Neto, S. Maci, G. Vecchi and M. Sabbadini, ”A truncated Floquet wave diffraction method for the full wave analysis of large phased arrays. I. Basic principles and 2-D cases,” in IEEE Transactions on Antennas and Propagation, vol. 48, no. 4, pp. 594-600, Apr 2000.
 J. P. Braud and P. L. Hagelstein, ”Whispering-gallery laser resonators. I. Diffraction of whispering-gallery modes,” in IEEE Journal of Quantum Electronics, vol. 27, no. 4, pp. 1069-1077, Apr 1991.
 G. B. Esmer and L. Onural, ”Simulation of scalar optical diffraction between arbitrarily oriented planes,” First International Symposium on Control, Communications and Signal Processing, 2004., 2004, pp. 225-228.
 N. Zareian, P. Abolghasem and A. S. Helmy, ”Far Field of Bragg Reflection Waveguides: Characteristics and Closed-Form Approximation,” in Journal of Lightwave Technology, vol. 29, no. 5, pp. 728-735.
 Liu Yongxin, Tao Hua, Pu Jixiong, L Baida, Detecting the topological charge of vortex beams using an annular triangle aperture, Optics & Laser Technology, Volume 43, Issue 7, October 2011, Pages 1233-1236.