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Research Articles

Diffraction from fractal grating Cantor sets

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Pages 1364-1369 | Received 18 Sep 2015, Accepted 25 Jan 2016, Published online: 17 Feb 2016

References

  • Mandelbrot, B.B. The Fractal Geometry of Nature; New York, Freeman and Company , 1977.
  • Kilbas, A.A.; Srivastava, H.M.; Trujillo, J.J. Theory and Applications of Fractional Differential Equations; Amsterdam: Elsevier, 2006.
  • Baleanu, D.; Diethelm, K.; Scalas, E.; Trujillo, J.J. Fractional Calculus Models and Numerical Methods; Complexity, Nonlinearity and Chaos; World Scientific: Berlin, 2012.
  • Uchaikin, V.V. Fractional Derivatives for Physicists and Engineers. Vol. 1. Background and Theory. Vol 2. Application; Springer: Berlin, 2013.
  • Falconer, K. Techniques in Fractal Geometry; John Wiley and Sons: New york, 1997.
  • Kigami, J. Analysis on Fractals, Vol. 143, Cambridge University Press: Cambridge, 2001.
  • Alireza, K. Golmankhaneh, Investigations in Dynamics: With Focus on Fractional Dynamics; LAP Lambert Academic Publishing: Saarbrucken, 2012.
  • Parvate, A.; Gangal, A.D. Fractals 2009, 17, 53–81.
  • Parvate, A.; Gangal, A.D. Fractals 2011, 19, 271–290.
  • Golmankhaneh, A.K.; Fazlollahi, V.; Baleanu, D. Romania Rep. Phys. 2013, 65, 84–93.
  • Golmankhaneh, A.K.; Golmankhaneh, A.K.; Baleanu, D. Int. J. Theor. Phys. 2013, 52, 4210–4217.
  • Golmankhaneh, A.K.; Golmankhaneh, A.K.; Baleanu, D. Cent. Eur. J. Phys. 2013, 11, 863–867.
  • Golmankhaneh, A.K.; Golmankhaneh, A.K.; Baleanu, D. Int. J. Theor. Phys. 2015, 54, 1275–1282.
  • Yang, X.-J. Advanced Local Fractional Calculus and Its Applications; World Science: New York, NY, 2012.
  • Srivastava, H.M.; Golmankhaneh, A.K.; Baleanu, D.; Yang, X.J. Abs. Appl. Anal. 2014, 1--7, Article ID 620529.
  • Golmankhaneh, A.K.; Yang, X.-J.; Baleanu, D. J. Phys. 2015, 60, 22–31.
  • Segev, M.; Soljai, M.; Dudley, J.M. Nat. Photonics 2012, 6, 209–210.
  • Sakurada, Y.; Uozumi, J.; Asakura, T. Pure Appl. Opt. 1992, 1, 29–40.
  • Oleg Angelsky, V.; Alexander, V.K.; Peter, P.M.; Volodymyr, M.R. Diffraction of radiation on Cantor fractals, International Conference on Holography and Correlation Optics, International Society for Optics and Photonics, 1995.
  • Luciano, Z.; Garavaglia, M. J. Mod. Opt. 2003, 50, 717–727.
  • Monsoriu, J.A.; Furlan, W.D.; Pons, A.; Barreiro, J.C.; Gimnez, M.H. Eur. J. Phys. 2011, 32, 687–694.
  • Lehman, M. Opt. Commun. 2001, 195, 11–26.
  • Dongsu, B., Sang, P.K.; Sung, K.K.; Kwang-Sup, S., Jae, H.Y.. Fractal diffraction grating. 1998. arXiv preprint physics/9802007.
  • Jabour, H.S. Adv. Phys. Theor. Appl. 2014, 29, 72–79.
  • Born, M.; Wolf, E. Principles of Optics, 7th ed.; Cambridge University Press: Cambridge, 1999.
  • Goodman, J.W. Introduction to Fourier optics; Roberts and Company Publishers: Austin, 2005.

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