Electromagnetic theory and design of diffractive-lens arrays

We apply the rigorous electromagnetic grating theory and an electromagnetic wave-propagation model with Kirchhoff boundary conditions to analyze and optimize the performance of arrays of cylindrical dielectric multilevel diffractive lenses. We show that the diffraction efficiency of a high-numerical-aperture lens array can be improved if the surface-relief profile is constructed with the use of rigorously optimized grating groove structures, which differ significantly from a multilevel approximation of a triangular profile.

[1]  T. Gaylord,et al.  Three-dimensional vector coupled-wave analysis of planar-grating diffraction , 1983 .

[2]  Ivan Cindrich,et al.  Holographic optics : optically and computer generated : 19-20 January 1989, Los Angeles, California , 1989 .

[3]  H. Nishihara,et al.  I Micro Fresnel Lenses , 1987 .

[4]  William H. Carter,et al.  Electromagnetic Field of a Gaussian Beam with an Elliptical Cross Section , 1972 .

[5]  Ross C. McPhedran,et al.  Crossed gratings: A theory and its applications , 1979 .

[6]  Ross C. McPhedran,et al.  On the theory and solar application of inductive grids , 1977 .

[7]  T. Mitsuyu,et al.  Reflection micro-Fresnel lenses and their use in an integrated focus sensor. , 1989, Applied Optics.

[8]  Karl Knop,et al.  Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves , 1978 .

[9]  Mohammad R. Taghizadeh,et al.  Rigorous diffraction theory of binary optical interconnects , 1991, Other Conferences.

[10]  J Jahns,et al.  Two-dimensional array of diffractive microlenses fabricated by thin film deposition. , 1990, Applied optics.

[11]  T. Gaylord,et al.  Analysis and applications of optical diffraction by gratings , 1985, Proceedings of the IEEE.

[12]  Mohammad R. Taghizadeh,et al.  Rigorous diffraction analysis of Dammann gratings , 1991 .

[13]  F. Kaspar,et al.  Diffraction by thick, periodically stratified gratings with complex dielectric constant , 1973 .

[14]  M. Taghizadeh,et al.  Detour-phase kinoform interconnects: the concept and fabrication considerations , 1990 .

[15]  A W Lohmann,et al.  Binary fraunhofer holograms, generated by computer. , 1967, Applied optics.

[16]  M R Taghizadeh,et al.  Binary surface-relief gratings for array illumination in digital optics. , 1992, Applied optics.

[17]  Neal C. Gallagher,et al.  Diffractive Optics: Scalar And Non-Scalar Design Analysis , 1989, Photonics West - Lasers and Applications in Science and Engineering.

[18]  Alan D. Kathman,et al.  Rigorous electromagnetic modeling of diffractive optical elements , 1991, Optics & Photonics.

[19]  C. Burckhardt.  Diffraction of a Plane Wave at a Sinusoidally Stratified Dielectric Grating , 1966 .

[20]  J Turunen,et al.  Parametric optimization of multilevel diffractive optical elements by electromagnetic theory. , 1992, Applied optics.

[21]  D. Maystre,et al.  I Rigorous Vector Theories of Diffraction Gratings , 1984 .

[22]  Mohammad R. Taghizadeh,et al.  Synthetic diffractive optics in the resonance domain , 1992 .

[23]  Scott A. Nelson,et al.  Diffraction efficiency of binary optical elements , 1990, Photonics West - Lasers and Applications in Science and Engineering.

[24]  M F Becker,et al.  Electromagnetic scattering of two-dimensional surface-relief dielectric gratings. , 1992, Applied optics.

[25]  E. Wolf,et al.  Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[26]  Erich Spitz,et al.  Photolithographic fabrication of thin film lenses , 1972 .

[27]  H. Nishihara,et al.  Laser beam lithographed micro-Fresnel lenses. , 1990, Applied optics.

[28]  P. Vincent,et al.  A finite-difference method for dielectric and conducting crossed gratings , 1978 .

[29]  E. Wolf,et al.  ELECTROMAGNETIC FIELD IN THE NEIGHBORHOOD OF THE FOCUS OF A COHERENT BEAM , 1965 .