S. Design, . Reduced, . Image, and .. Inclination, 27 4.3.1 Geometrical optical interpretation ? first approximation 27 4.3.2 Geometrical optical interpretation ? second approximation, p.29

G. Blough and G. M. Morris, Hybrid lenses offer high performance at low cost, Laser Focus World, vol.31, issue.11, pp.67-74, 1995.

G. Blough, M. Rossi, S. K. Mack, and R. L. Michaels, Single-point diamond turning and replication of visible and near-infrared diffractive optical elements, Applied Optics, vol.36, issue.20, pp.4648-4654, 1997.
DOI : 10.1364/AO.36.004648

E. Born and . Wolf, Principles of Optics, 1980.
DOI : 10.1017/CBO9781139644181

P. Brunol and . Chavel, Fourier transformation of rotationally invariant two-variable functions: Computer implementation of Hankel transform, Proc. of IEEE, 1977.
DOI : 10.1109/PROC.1977.10638

A. Buralli and G. M. Morris, A flat-field diffractive landscape lens: design and performance, Holographic Optics II: Principles and Applications, pp.134-139, 1989.

A. Buralli and G. M. Morris, Design of a wide field diffractive landscape lens, Applied Optics, vol.28, issue.18, pp.3950-3959, 1989.
DOI : 10.1364/AO.28.003950

A. Buralli and G. M. Morris, Design of diffractive singlets for monochromatic imaging, Applied Optics, vol.30, issue.16, pp.2151-2158, 1991.
DOI : 10.1364/AO.30.002151

A. Buralli and G. M. Morris, Design of two- and three-element diffractive Keplerian telescopes, Applied Optics, vol.31, issue.1, pp.38-43, 1992.
DOI : 10.1364/AO.31.000038

A. Buralli and G. M. Morris, Effects of diffraction efficiency on the modulation transfer function of diffractive lenses, Applied Optics, vol.31, issue.22, pp.4389-4396, 1992.
DOI : 10.1364/AO.31.004389

A. Buralli, G. M. Morris, and J. R. Rogers, Optical performance of holographic kinoforms, Applied Optics, vol.28, issue.5, pp.976-983, 1989.
DOI : 10.1364/AO.28.000976

S. C. Chang, S. Forouhar, J. Delavaux, and R. Lu, <title>Fabrication And Performance Of Diffraction Lenses</title>, Integrated Optics II, pp.9-14, 1982.
DOI : 10.1117/12.933209

G. Chavel, H. Narcy, and . Sauer, Should hybrid diffractive optics always be modeled using an expansion into orders?, Proc. of OSA Annual Meeting, pp.20-24, 1996.

E. Danziger, A. A. Hasman, A. W. Friesem, and . Lohmann, Multilevel diffractive elements for generalized wavefront shaping, Optical Engineering, vol.35, issue.9, pp.2556-2565, 1996.
DOI : 10.1117/1.600859

A. A. Davidson, E. Friesem, and . Hasman, Analytic design of hybrid diffractive???refractive achromats, Applied Optics, vol.32, issue.25, pp.4770-4774, 1993.
DOI : 10.1364/AO.32.004770

R. Davidson, A. A. Duer, E. Friesem, and . Hasman, Blazed holographic gratings for polychromatic and multidirectional incidence light, Journal of the Optical Society of America A, vol.9, issue.7, pp.1196-1199, 1992.
DOI : 10.1364/JOSAA.9.001196

M. Dickey and S. C. Holswade, Gaussian laser beam profile shaping, Optical Engineering, vol.35, issue.11, pp.3285-3295, 1996.
DOI : 10.1117/1.601069

M. Dresel, J. Beyerlein, and . Schwider, Design of computer-generated beam-shaping holograms by iterative finite-element mesh adaption, Applied Optics, vol.35, issue.35, pp.6865-6873, 1996.
DOI : 10.1364/AO.35.006865

. Volotovskii, Investigation of computer-generated diffractive beam shapers for flattening of single-modal CO 2 laser beams, Applied Optics, vol.34, issue.14, pp.2489-2497, 1995.

T. Eismann, A. M. Tai, and J. N. Cederquist, Iterative design of a holographic beamformer, Applied Optics, vol.28, issue.13, pp.2641-2650, 1989.
DOI : 10.1364/AO.28.002641

C. Evans and D. L. Shealy, Design and optimization of an irradiance profile-shaping system with a genetic algorithm method, Applied Optics, vol.37, issue.22, pp.5216-5221, 1998.
DOI : 10.1364/AO.37.005216

G. M. Faklis and . Morris, Spectral properties of multiorder diffractive lenses, Applied Optics, vol.34, issue.14, pp.2462-2468, 1995.
DOI : 10.1364/AO.34.002462

B. Fleming and M. C. Hutley, Blazed diffractive optics, Applied Optics, vol.36, issue.20, pp.4635-4643, 1997.
DOI : 10.1364/AO.36.004635

R. Frieden, Lossless Conversion of a Plane Laser Wave to a Plane Wave of Uniform Irradiance, Applied Optics, vol.4, issue.11, pp.1400-1403, 1965.
DOI : 10.1364/AO.4.001400

Y. Han, Y. Ishii, and K. Murata, Reshaping collimated laser beams with Gaussian profile to uniform profiles, Applied Optics, vol.22, issue.22, pp.3644-3647, 1983.
DOI : 10.1364/AO.22.003644

L. N. Han, C. A. Hazra, and . Delisle, Exact surface-relief profile of a kinoform lens from its phase function, Journal of the Optical Society of America A, vol.12, issue.3, pp.524-529, 1995.
DOI : 10.1364/JOSAA.12.000524

N. Hazra, Y. Han, and C. Delisle, Plane kinoform lenses for axial stigmatism in finite conjugate imaging, Optics Communications, vol.91, issue.1-2, pp.1-4, 1992.
DOI : 10.1016/0030-4018(92)90089-A

N. Hazra, Y. Han, and C. Delisle, Curved kinoform lenses for stigmatic imaging of axial objects, Applied Optics, vol.32, issue.25, pp.4775-4784, 1993.
DOI : 10.1364/AO.32.004775

N. Hazra, Y. Han, and C. A. Delisle, Geometric optical limits in the synthesis of planar kinoform lenses for axial stigmatism, Optical Engineering, vol.34, issue.5, pp.1296-1302, 1995.

N. Hazra, O. F. Meknassi, and C. A. Delisle, Zone characteristics of planar kinoform lenses of any specific order for stigmatic imaging between extra-axial conjugate points, Journal of the Optical Society of America A, vol.12, issue.11, pp.2463-2470, 1995.
DOI : 10.1364/JOSAA.12.002463

P. Herzig, Micro-Optics Elements Systems and Applications, 1997.

M. Ishikawa, T. Izutsu, and . Sueta, Beam propagation method analysis of optical waveguide lenses, Applied Optics, vol.29, issue.34, pp.5064-5068, 1990.
DOI : 10.1364/AO.29.005064

R. Jahan and M. A. Karim, Refracting systems for Gaussian-to-uniform beam transformations, Optics & Laser Technology, vol.21, issue.1, pp.27-30, 1989.
DOI : 10.1016/0030-3992(89)90008-X

V. M. Jiang and . Ristic, Study of Anisotropy Effect in Planar Lenses for Integrated Optics, Journal of Modern Optics, vol.35, issue.6, pp.849-862, 1988.
DOI : 10.1109/50.4012

V. M. Jiang and . Ristic, Definition of anisotropic aberrations in planar lenses, IEEE Journal of Quantum Electronics, vol.22, issue.10, pp.1934-1935, 1986.
DOI : 10.1109/JQE.1986.1072897

P. J. Jiang, G. C. Laybourn, and . Righini, Homogeneous Planar Lens on an Anisotropic Waveguide, Journal of Modern Optics, vol.137, issue.1, pp.121-132, 1992.
DOI : 10.1109/JQE.1973.1077767

D. L. Jiang, J. C. Shealy, and . Martin, Design and testing of a refractive reshaping system, Proc. of SPIE, pp.64-75, 1993.

Q. Jiang, Z. Lu, and . Liu, Relative phase shifts of apertured Gaussian beams and transformation of a Gaussian beam through a phase aperture, Applied Optics, vol.36, issue.4, pp.772-778, 1997.
DOI : 10.1364/AO.36.000772

A. Karim, A. K. Cherri, A. A. Awwal, and A. Basit, Refracting system for annular laser beam transformation, Applied Optics, vol.26, issue.12, pp.2446-2449, 1987.
DOI : 10.1364/AO.26.002446

A. Karim, A. M. Hanafi, F. Hussain, S. Mustafa, Z. Samberid et al., Realization of a uniform circular source using a two-dimensional binary filter, Optics Letters, vol.10, issue.10, pp.470-471, 1985.
DOI : 10.1364/OL.10.000470

L. Kazansky, V. V. Kotlyar, and V. A. Soifer, Computer-aided design of diffractive optical elements, Optical Engineering, vol.33, issue.10, pp.3156-3166, 1994.

P. Kuittinen, M. Vahimaa, J. Honkanen, and . Turunen, Beam shaping in the nonparaxial domain of diffractive optics, Applied Optics, vol.36, issue.10, pp.2034-2041, 1997.
DOI : 10.1364/AO.36.002034

R. E. Kunz and M. Rossi, Phase-matched Fresnel elements, Optics Communications, vol.97, issue.1-2, pp.6-10, 1993.
DOI : 10.1016/0030-4018(93)90607-7

J. R. Laybourn and G. C. Righini, New design of thin-film lens, Electronics Letters, vol.22, issue.6, pp.343-345, 1986.
DOI : 10.1049/el:19860235

J. R. Laybourn, G. Molesini, and G. C. Righini, Homogeneous Refracting Lenses for Integrated Optical Circuits, Journal of Modern Optics, vol.766, issue.6, pp.1029-1048, 1988.
DOI : 10.1364/JOSA.37.000047

. Lee, Electromagnetic Principles of Integrated Optics, 1986.

H. Lee, Method for converting a Gaussian laser beam into a uniform beam, Optics Communications, vol.36, issue.6, pp.469-471, 1981.
DOI : 10.1016/0030-4018(81)90193-0

B. Lesem, P. M. Hirsch, and J. A. Jordan-jr, The Kinoform: A New Wavefront Reconstruction Device, IBM Journal of Research and Development, vol.13, issue.2, pp.150-155, 1969.
DOI : 10.1147/rd.132.0150

W. T. Londoño, P. P. Plummer, and . Clark, Athermalization of a single-component lens with diffractive optics, Applied Optics, vol.32, issue.13, pp.2295-2302, 1993.
DOI : 10.1364/AO.32.002295

H. K. Malyak, T. Nemoto, T. Nayuki, N. Fujii, Y. Goto et al., Two-mirror unobscured optical system for reshaping the irradiance distribution of a laser beam Optimum control of the laser beam intensity profile with a deformable mirror " , distributions from collimated sources, Applied Optics Applied Optics, vol.13, issue.22 6, pp.31-4377, 1974.

D. Mcneill and T. Poon, Gaussian-beam profile shaping by acousto-optic Bragg diffraction, Applied Optics, vol.33, issue.20, pp.4508-4515, 1994.
DOI : 10.1364/AO.33.004508

F. Meknassi, C. A. Delisle, and L. N. Hazra, Extra-axial stigmatic imagery with a thick planar kinoform, Applied Optics, vol.36, issue.26, pp.6577-6582, 1997.
DOI : 10.1364/AO.36.006577

M. Misawa, S. Aoki, A. Fujita, T. Takaura, K. Kihara et al., Focusing waveguide mirror with a tapered edge, Applied Optics, vol.33, issue.16, pp.3365-3370, 1994.
DOI : 10.1364/AO.33.003365

D. Missig and G. M. Morris, Diffractive optics applied to eyepiece design, Applied Optics, vol.34, issue.14, pp.2452-2461, 1995.
DOI : 10.1364/AO.34.002452

. Miyamoto, The Phase Fresnel Lens, Journal of the Optical Society of America, vol.51, issue.1, pp.17-20, 1961.
DOI : 10.1364/JOSA.51.000017

B. Nikolov and . Pantchev, Single aplanatic homogeneous refracting waveguide lenses without field curvature, Optics Letters, vol.17, issue.20, pp.1429-1431, 1992.
DOI : 10.1364/OL.17.001429

A. Ohtsuka and . Tanone, Acousto-optic intensity modification of a gaussian laser beam, Optics Communications, vol.39, issue.1-2, pp.70-74, 1981.
DOI : 10.1016/0030-4018(81)90457-0

I. Perrone and . Montrosset, A Correction to the Two-dimensional BPM for the Analysis of Waveguide Lenses, Journal of Modern Optics, vol.39, issue.1, pp.35-41, 1992.
DOI : 10.1364/JOSA.71.000803

A. Pommet, M. G. Moharam, and E. B. Grann, Limits of scalar diffraction theory for diffractive phase elements, Journal of the Optical Society of America A, vol.11, issue.6, pp.1827-1834, 1994.
DOI : 10.1364/JOSAA.11.001827

J. Reidl and J. T. Mccann, Analysis and performance limits of diamond-turned diffractive lenses for the 3-5 and 8-12 micrometer regions, Proc. SPIE, pp.153-163, 1991.

W. Rhodes and D. L. Shealy, Refractive optical systems for irradiance redistribution of collimated radiation: their design and analysis, Applied Optics, vol.19, issue.20, pp.3545-3553, 1980.
DOI : 10.1364/AO.19.003545

C. Righini and G. Molesini, Design of optical-waveguide homogeneous refracting lenses, Applied Optics, vol.27, issue.20, pp.4193-4199, 1988.
DOI : 10.1364/AO.27.004193

R. E. Rossi, H. P. Kunz, and . Herzig, Refractive and diffractive properties of planar micro-optical elements, Applied Optics, vol.34, issue.26, pp.5996-6007, 1995.
DOI : 10.1364/AO.34.005996

S. Roux, Intensity distribution transformation for rotationally symmetric beam shaping, Optical Engineering, vol.30, issue.5, pp.529-536, 1991.
DOI : 10.1117/12.55836

R. M. Sales and G. M. Morris, Diffractive???refractive behavior of kinoform lenses, Applied Optics, vol.36, issue.1, pp.253-257, 1997.
DOI : 10.1364/AO.36.000253

G. Sauer, P. Narcy, and . Chavel, Kinoform modeling for hybrid optical system design, Proceedings of Diffractive Optics '97, pp.174-175, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01386148

. Shafer, Gaussian to flat-top intensity distributing lens, Optics and Laser Technology, pp.159-160, 1982.
DOI : 10.1016/0030-3992(82)90113-X

A. Sharp and . Kathman, Laser beam shapes for the future, Industrial Laser Review, issue.12, 1994.

M. Sinzinger and . Testorf, Transition between diffractive and refractive micro-optical components, Applied Optics, vol.34, issue.26, pp.5970-5976, 1995.
DOI : 10.1364/AO.34.005970

J. Smith, Modern lens design: a resource manual, 1992.

J. Smith, Modern Optical Engineering: The Design of Optical Systems, 1990.

H. Spencer and M. V. Murty, General Ray-Tracing Procedure???, Journal of the Optical Society of America, vol.52, issue.6, pp.672-678, 1962.
DOI : 10.1364/JOSA.52.000672

M. Stevenson, M. J. Norman, T. H. Bett, D. A. Pepler, C. N. Danson et al., Binary-phase zone plate arrays for the generation of uniform focal profiles, Optics Letters, vol.19, issue.6, pp.363-365, 1994.
DOI : 10.1364/OL.19.000363

N. Stone and . George, Hybrid diffractive-refractive lenses and achromats, Applied Optics, vol.27, issue.14, pp.2960-2971, 1988.
DOI : 10.1364/AO.27.002960

J. Swanson, Binary Optics Technology: The Theory and Design of Multi-Level Diffractive Optical Elements, 1989.

J. Swanson, Binary Optics Technology: Theoretical Limits on the Diffraction Efficiency of Multilevel Diffractive Optical Elements, pp.1991-94

W. Sweeney and G. E. Sommargren, Harmonic diffractive lenses, Applied Optics, vol.34, issue.14, pp.2469-2475, 1995.
DOI : 10.1364/AO.34.002469

M. Szarvas, P. Barabás, L. Richter, and . Jakab, Design of multielement acircular waveguide lens systems in anisotropic media, Optical Engineering, vol.32, issue.10, pp.2510-2516, 1993.
DOI : 10.1117/12.145291

B. Y. Tan, G. Z. Gu, B. Z. Yang, and . Dong, Diffractive phase elements for beam shaping: a new design method, Applied Optics, vol.34, issue.8, pp.1314-1320, 1995.
DOI : 10.1364/AO.34.001314

T. Tatsumi, S. Nakaguchi, and . Ito, Wide field angle bi-aspherical waveguide lens in LiNbO3 fabricated by proton-exchange, Electronics Letters, vol.24, issue.9, pp.546-548, 1988.
DOI : 10.1049/el:19880371

K. Tien and R. Ulrich, Theory of Prism???Film Coupler and Thin-Film Light Guides, Journal of the Optical Society of America, vol.60, issue.10, pp.1325-1337, 1970.
DOI : 10.1364/JOSA.60.001325

R. J. Ulrich and . Martin, Geometrical Optics in Thin Film Light Guides, Applied Optics, vol.10, issue.9, pp.2077-2085, 1971.
DOI : 10.1364/AO.10.002077

. Ulrich, Theory of the Prism???Film Coupler by Plane-Wave Analysis, Journal of the Optical Society of America, vol.60, issue.10, pp.1337-1350, 1970.
DOI : 10.1364/JOSA.60.001337

B. Veldkamp and C. J. Kastner, Beam profile shaping for laser radars that use detector arrays, Applied Optics, vol.21, issue.2, pp.345-356, 1982.
DOI : 10.1364/AO.21.000345

M. Verdiell, M. A. Newkirk, T. L. Koch, R. P. Gnall, U. Koren et al., Aspheric waveguide lenses for photonic integrated circuits, Applied Physics Letters, vol.62, issue.8, pp.808-810, 1993.
DOI : 10.1063/1.108585

P. Wood, Design of infrared hybrid refractive???diffractive lenses, Applied Optics, vol.31, issue.13, pp.2253-2258, 1992.
DOI : 10.1364/AO.31.002253

D. Yu, Waveguide optical planar lenses in LiNbO3 ??? Theory and experiments, Optics Communications, vol.47, issue.4, pp.248-250, 1983.
DOI : 10.1016/0030-4018(83)90176-1

D. Zeitner, H. Aagendal, and F. Wyrowski, Comparison of resonator-originated and external beam shaping, Applied Optics, vol.38, issue.6, pp.980-986, 1999.
DOI : 10.1364/AO.38.000980

V. M. Zhou and . Ristic, Anisotropic aberrations in planar waveguide lenses, IEEE Journal of Quantum Electronics, vol.25, issue.4
DOI : 10.1109/3.17340