M. Born and E. Wolf, Principles of Optics, p.11, 1980.

A. Sommerfeld, NewYork) chapter 5 sections, p.38, 1954.

L. D. Landau and E. Lifshitz, The Classical Theory of Fields, pp.59-61, 1962.

A. Sommerfeld, Mathematische Theorie der Diffraction, Mathematische Annalen, vol.47, issue.2-3, p.317
DOI : 10.1007/BF01447273

W. Pauli, On Asymptotic Series for Functions in the Theory of Diffraction of Light Phys, Rev, vol.54, pp.924-955, 1938.

H. Levine and J. Schwinger, On the Theory of Diffraction by an Aperture in an Infinite Plane Screen I Phys, pp.958-74, 1948.

H. Levine and J. Schwinger, On the Theory of Diffraction by an Aperture in an Infinite Plane Screen II Phys, Rev, vol.75, pp.1423-1455, 1949.

L. D. Landau and E. Lifshitz, Electrodynamics of Continuous Media, vol.10, pp.74-79, 1960.

J. Keller, Geometrical Theory of Diffraction*, Journal of the Optical Society of America, vol.52, issue.2, pp.116-146, 1962.
DOI : 10.1364/JOSA.52.000116

P. Epstein and P. Ehrenfest, The quantum theory of the Fraunhofer diffraction Proc. Nat. Acad. Sci, pp.133-142, 1924.

R. P. Feynman and A. Hibbs, ) sections 3, pp.2-3, 1965.

A. Barut and S. Basri, Path integrals and quantum interference, American Journal of Physics, vol.60, issue.10, pp.896-905, 1992.
DOI : 10.1119/1.17009

J. Field, Quantum mechanics in space???time: The Feynman path amplitude description of physical optics, de Broglie matter waves and quark and neutrino flavour oscillations, Annals of Physics, vol.321, issue.3, pp.627-707, 2006.
DOI : 10.1016/j.aop.2005.09.002

M. Beau, Feynman path integral approach to electron diffraction for one and two slits: analytical results, European Journal of Physics, vol.33, issue.5, pp.1023-1062, 2012.
DOI : 10.1088/0143-0807/33/5/1023
URL : https://hal.archives-ouvertes.fr/hal-00630741

J. Field, Description of diffraction-grating experiments for photons and electrons in Feynman's spacetime formulation of quantum mechanics: the quantum origins of classical wave theories of light and massive particles, European Journal of Physics, vol.34, issue.6, pp.1507-1538, 2013.
DOI : 10.1088/0143-0807/34/6/1507

X. Y. Wu, B. J. Zhang, X. J. Liu, B. Liu, C. Zhang et al., QUANTUM THEORY OF NEUTRON DIFFRACTION, International Journal of Modern Physics B, vol.24, issue.15, pp.3255-64, 2009.
DOI : 10.1103/RevModPhys.60.1067

L. Wang, B. J. Zhang, Z. Hua, J. Li, X. J. Liu et al., Quantum Theory of Electronic Multiple-Slit Diffraction Prog. Theor. Phys. 121 number, pp.685-93, 2009.

X. Y. Wu, B. J. Zhang, J. H. Yang, L. X. Chi, X. J. Liu et al., Quantum Theory of Light Diffraction J. Mod. Opt, vol.57, issue.20, pp.2082-91, 2010.

T. Marcella, Quantum interference with slits Eur, J. Phys, vol.23, pp.615-636, 2002.
DOI : 10.1088/0143-0807/23/6/303
URL : http://arxiv.org/pdf/quant-ph/0703126

V. Shaoulov, R. V. Satya, G. Schiavone, E. Clarkson, and R. J. , Model of wide-angle optical field propagation using scalar diffraction theory, Opt. Eng, vol.43, issue.7, pp.1561-1568, 2004.

C. Cohen-tannoudji, B. Diu, and F. Laloë, Quantum Mechanics, 1977.

T. Rothman and S. Boughn, Quantum interference with slits' revisited Eur, J. Phys, vol.32, pp.107-120, 2011.
DOI : 10.1088/0143-0807/32/1/010
URL : http://arxiv.org/pdf/1009.2408

W. Heisenberg, The Physical Principles of the Quantum Theory (Dover publications, 1930.

, Bohr N 1935 Can Quantum-Mechanical Description of Physical Reality be Considered Complete? Phys. Rev, pp.696-702

C. W. Mccutchen, Generalized Aperture and the Three-Dimensional Diffraction Image, Journal of the Optical Society of America, vol.54, issue.2, pp.240-244, 1964.
DOI : 10.1364/JOSA.54.000240

J. Lin, X. C. Yuan, S. S. Kou, C. Sheppard, O. Rodríguez-herrera et al., Direct calculation of a three-dimensional diffracted field, Optics Letters, vol.36, issue.8, pp.1341-1344, 2011.
DOI : 10.1364/OL.36.001341

I. S. Gradshteyn and I. Ryzhik, Tables of Integrals, Series, and Products, 1994.