\r\nengineering fields, its geometrical conception gives interesting

\r\nproperties of diffraction and interferences, a uniform and periodic

\r\ndiffraction grating consists of a number of identical apertures that are

\r\nequally spaced, in this case, the amplitude of intensity distribution

\r\nin the far field region is generally modulated by diffraction pattern

\r\nof single aperture. In this paper, we study the case of aperiodic

\r\ndiffraction grating with identical rectangular apertures where theirs

\r\ncoordinates are modeled by square root function, we elaborate a

\r\ncomputer simulation comparatively to the periodic array with same

\r\nlength and we discuss the numerical results.","references":"[1] Lord Rayleigh, \u201dNote on the Remarkable Case of Diffraction Spectra\r\nDescribed by Prof. Wood,\u201d Philos. Mag. 14, 60, 1907.\r\n[2] Kassemeyer, Stephan and Jafarpour, Aliakbar and Lomb, Lukas and\r\nSteinbrener, Jan and Martin, Andrew V. and Schlichting, Ilme, Optimal\r\nmapping of x-ray laser diffraction patterns into three dimensions using\r\nrouting algorithms, Phys. Rev. E, 2013.\r\n[3] Wood, R. W, Anomalous Diffraction Gratings, Phys. Rev., Vol. 48, P.\r\n928\u2013936, 1935.\r\n[4] He, B.B., Introduction to two-dimensional X-ray diffraction, Powder\r\nDiffraction, 18(2), pp. 7185, 2003.\r\n[5] I. A. Avrutsky, M. Fay and J. M. Xu, \u201dMultiwavelength diffraction and\r\napodization using binary superimposed gratings,\u201d in IEEE Photonics\r\nTechnology Letters, vol. 10, no. 6, pp. 839-841, June 1998.\r\n[6] A. Neto, S. Maci, G. Vecchi and M. Sabbadini, \u201dA truncated Floquet\r\nwave diffraction method for the full wave analysis of large phased arrays.\r\nI. Basic principles and 2-D cases,\u201d in IEEE Transactions on Antennas\r\nand Propagation, vol. 48, no. 4, pp. 594-600, Apr 2000.\r\n[7] J. P. Braud and P. L. Hagelstein, \u201dWhispering-gallery laser resonators. I.\r\nDiffraction of whispering-gallery modes,\u201d in IEEE Journal of Quantum\r\nElectronics, vol. 27, no. 4, pp. 1069-1077, Apr 1991.\r\n[8] G. B. Esmer and L. Onural, \u201dSimulation of scalar optical diffraction\r\nbetween arbitrarily oriented planes,\u201d First International Symposium\r\non Control, Communications and Signal Processing, 2004., 2004, pp.\r\n225-228.\r\n[9] N. Zareian, P. Abolghasem and A. S. Helmy, \u201dFar Field of\r\nBragg Reflection Waveguides: Characteristics and Closed-Form\r\nApproximation,\u201d in Journal of Lightwave Technology, vol. 29, no. 5,\r\npp. 728-735.\r\n[10] Liu Yongxin, Tao Hua, Pu Jixiong, L Baida, Detecting the topological\r\ncharge of vortex beams using an annular triangle aperture, Optics &\r\nLaser Technology, Volume 43, Issue 7, October 2011, Pages 1233-1236.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 120, 2016"}