[1] Siviloglou, G.A. and Christodoulides, D.N. (2007) Accelerating Finite Energy Airy Beams. Optics Letters, 32, 979-981.
http://dx.doi.org/10.1364/OL.32.000979
[2] Siviloglou, G.A., Broky, J., Degaru, A. and Christodoulides, D.N. (2007) Observation of Accelerating Airy Beams. Physical Review Letters, 99, 213901.
http://dx.doi.org/10.1103/PhysRevLett.99.213901
[3] Berry, M.V. and Balazs, N.L. (1979) Nonspreading Wave Packets. American Association of Physics Teachers, 47, 264.
http://dx.doi.org/10.1119/1.11855
[4] Han, D.H., Liu, C.T. and Lai, X.Y. (2012) The Fractional Fourier Transform of Airy Beams Using Lohmann and Quadratic Optical Systems. Optics & Laser Technology, 44, 1463-1467.
http://dx.doi.org/10.1016/j.optlastec.2011.12.017
[5] Wen, W., Lu, X., Zhao, C. and Cai, Y. (2014) Propagation of Airy Beam Passing through the Misaligned Optical System with Hard Aperture. Optics Communication, 313, 350-355.
http://dx.doi.org/10.1016/j.optcom.2013.10.056
[6] Siviloglou, G.A., Broky, J., Dogariu, A. and Christodoulides, D.N. (2008) Ballistic Dynamics of Airy Beams. Optics Letters, 33, 207-209.
http://dx.doi.org/10.1364/OL.33.000207
[7] Polynkin, P., Kolesik, M., Moloney, J.V., Siviloglou, G.A. and Christodoulides, D.N. (2009) Curved Plasma Channel Generation Using Ultraintense Airy Beams. Science, 324, 229-232.
http://dx.doi.org/10.1126/science.1169544
[8] Broky, J., Siviloglou, G.A., Dogariu, A. and Christodoulides, D.N. (2008) Self-Healing Properties of Optical Airy Beams. Optics Express, 16, 12880-12891.
http://dx.doi.org/10.1364/OE.16.012880
[9] Belafhal, A., Ez-zariy, L., Hennani, S. and Nebdi, H. (2015) Theoretical Introduction and Generation Method of a Novel Nondiffracting Waves: Olver Beams. Optics and Photonics Journal, 5, 234-246.
http://dx.doi.org/10.4236/opj.2015.57023
[10] Hennani, S., Ez-zariy, L. and Belafhal, A. (2015) Propagation Properties of Olver-Gaussian Beams Passing through a Paraxial ABCD Optical System. Optics and Photonics Journal, 5, 273-294.
http://dx.doi.org/10.4236/opj.2015.59026
[11] Hennani, S., Ez-zariy, L. and Belafhal, A. The Analytical Representation of the Finite Olver Beams Propagating through an Apertured Misaligned ABCD Optical System.
[12] Gu, J., Zhao, D., Mei, Z., Mao, H. and Xu, H. (2006) Propagation Characteristics of Linearly Polarized Bessel Gaussian Beams through an Annular Aperture Paraxial ABCD Optical System. Optik, 115, 529-532.
[13] Cai, X. and Ge, D. (2006) Propagation of Various Dark Hollow Beams through an Apertured Paraxial ABCD Optical System. Physics Letters A, 357, 72-80.
http://dx.doi.org/10.1016/j.physleta.2006.04.022
[14] Zhao, D., Mao, H., Sun, D. and Wang, S. (2005) Approximate Analytical Representation of Winger Distribution Function for Gaussian Beams Passing through ABCD Optical System with Hard Aperture. Optik, 116, 211-218.
http://dx.doi.org/10.1016/j.ijleo.2005.01.015
[15] Gu, J., Yang, P. and Zhu, O. (2012) Propagation Characteristics of Gaussian Beams through 2×2 Square Matrix Circular Apertures. Optik, 123, 1817-1819.
http://dx.doi.org/10.1016/j.ijleo.2011.12.061
[16] Bin, T., Fang, J.X. and Min, L.Z. (2008) Propagation of Hermite Cosh Gaussian Beams Passing through ABCD Optical System with an Annular Aperture. Optoelectronics Letters, 4, 78-80.
[17] Abedin, K.M., Islam, M.R. and Haider, A.F.M.Y. (2007) Computer Simulation of Fresnel Diffraction from Rectangular Apertures and Obstacles Using the Fresnel Integrals Approach. Optics & Letter Technology, 39, 237-246.
http://dx.doi.org/10.1016/j.optlastec.2005.08.011
[18] Gu, J., Zhao, D., Mei, Z., Mao, H. and Xu, H. (2004) Propagation Characteristics of Linearly Polarized Bessel Gaussian Beams through an Annular Aperture Paraxial ABCD Optical System. Optik, 115, 529-532.
http://dx.doi.org/10.1078/0030-4026-00529
[19] Cai, X. and Ge, D. (2006) Propagation of Various Dark Hollow Beams through an Apertured Paraxial ABCD Optical System. Physics Letters A, 357, 72-80.
http://dx.doi.org/10.1016/j.physleta.2006.04.022
[20] Duan, K. and Lü, B. (2005) Propagation of Hermite Gaussian Beams through a Paraxial Optical ABCD System with Rectangular Hard Edged Aperture. Optics Communication, 250, 1-9.
http://dx.doi.org/10.1016/j.optcom.2005.02.009
[21] Zhao, D., Mao, H., Sun, D. and Wang, S. (2005) Approximate Analytical Representation of Winger Distribution Function for Gaussian Beams Passing through ABCD Optical System with Hard Aperture. Optik, 116, 211-218.
http://dx.doi.org/10.1016/j.ijleo.2005.01.015
[22] Mei, M., Zhao, D., Wei, X., Jing, F. and Zhu, Q. (2005) Propagation of Bessel-Modulated Gaussian Beams through a Paraxial ABCD Optical System with an Annular Aperture. Optik, 116, 521-526.
[23] Wang, W., Ning, Y.Q., Tian, Z.H., Zhang, X., Shi, J.J., Wang, Z.F., Zhang, L.S., Zhang, Y., Liu, Y., Qin, L. and Wang, L.J. (2011) Coherent Polarization Stabilization in Large Aperture Rectangular Post Bottom Emitting Vertical Cavity Surface Emitting Lasers. Optics Communication, 284, 1335-1338.
http://dx.doi.org/10.1016/j.optcom.2010.11.014
[24] Ez-zariy, L., Nebdi, H., Boustimi, M. and Belafhal, A. (2014) Transformation of a Two-Dimensional Finite Energy Airy Beam by an ABCD Optical System with a Rectangular Annular Aperture. Physical and Chemical News, 73, 39-49.
[25] Mei, Z., Zhao, D., Gua, J. and Mao, H. (2004) Approximate Analytical Expressions of Laguerre-Gaussian Beams Passing through a Paraxial Optical System with an Annular Aperture. Optik, 115, 311-316.
[26] Gu, J., Yang, P. and Zhang, Y. (2013) The Intensity Distribution of Hermite-Gaussian Beam through an Annular Aperture. Optik, 124, 5858-5862.
[27] Wen, J.J. and Breazeale, M.A. (1998) A Diffraction Beam Field Expressed as the Superposition of Gaussian Beams. Journal of the Acoustical Society of America, 83, 1752-1756.
http://dx.doi.org/10.1121/1.396508
[28] Collins, S.A. (1970) Lens-System Diffraction Integral Written in Terms of Matrix Optics. Journal of the Optical Society of America, 60, 1168-1170.
http://dx.doi.org/10.1364/JOSA.60.001168
[29] Gradshteyn, I.S. and Ryzhik, I.M. (1994) Tables of Integrals Series and Products. 5th Edition, Academic Press, New York.