Algorithm based on rigorous coupled-wave analysis for diffractive optical element design.

Diffractive optical element design is an important problem for many applications and is usually achieved by the Gerchberg-Saxton or the Yang-Gu algorithm. These algorithms are formulated on the basis of monochromatic wave propagation and the far-field assumption, because the Fourier transform is used to model the wave propagation. We propose an iterative algorithm (based on rigorous coupled-wave analysis) for the design of a diffractive optical element. Since rigorous coupled-wave analysis (instead of Fourier transformation) is used to calculate the light-field distribution behind the optical element, the diffractive optical element can thus be better designed. Simulation results are provided to verify the proposed algorithm for designing a converging lens. Compared with the well-known Gerchberg-Saxton and Yang-Gu algorithms, our method provides 7.8% and 10.8%, respectively, improvement in converging the light amplitude when a microlens is desired. In addition, the proposed algorithm provides a solution that is very close to the solution obtained by the simulated annealing method (within 1.89% error).

[1]  Kenichi Iga,et al.  Two-dimensional multiwavelength surface emitting laser arrays fabricated by nonplanar MOCVD , 1994 .

[2]  Thomas K. Gaylord,et al.  Rigorous coupled-wave analysis of metallic surface-relief gratings , 1986 .

[3]  C C Guest,et al.  Simulated annealing algorithm for binary phase only filters in pattern classification. , 1990, Applied optics.

[4]  James S. Harris,et al.  Multiple-wavelength vertical cavity laser arrays on patterned substrates , 1995 .

[5]  N Yoshikawa,et al.  Phase optimization of a kinoform by simulated annealing. , 1994, Applied optics.

[6]  Jari Turunen,et al.  Eigenmode method for electromagnetic synthesis of diffractive elements with three-dimensional profiles , 1994 .

[7]  Thomas K. Gaylord,et al.  Planar dielectric grating diffraction theories , 1982 .

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

[9]  T. Gaylord,et al.  Diffraction analysis of dielectric surface-relief gratings , 1982 .

[10]  Chung-En Zah,et al.  Multiple wavelength tunable surface-emitting laser arrays , 1991 .

[11]  T. Gaylord,et al.  Chain-matrix analysis of arbitrary-thickness dielectric reflection gratings , 1982 .

[12]  Lifeng Li,et al.  Use of Fourier series in the analysis of discontinuous periodic structures , 1996 .

[13]  L. Anderson,et al.  Experimental and theoretical investigation of the nitrogen laser , 1976 .

[14]  B Dong,et al.  General theory for performing an optical transform. , 1986, Applied optics.

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

[16]  T. Gaylord,et al.  Rigorous coupled-wave analysis of planar-grating diffraction , 1981 .

[17]  S H Lee,et al.  Cost-effective mass fabrication of multilevel diffractive optical elements by use of a single optical exposure with a gray-scale mask on high-energy beam-sensitive glass. , 1997, Applied optics.

[18]  Tawee Tanbun-Ek,et al.  A systems perspective on digital interconnection technology , 1992 .

[19]  Lifeng Li,et al.  New formulation of the Fourier modal method for crossed surface-relief gratings , 1997 .

[20]  C. Chang-Hasnain,et al.  Multiple-wavelength vertical-cavity surface-emitting laser arrays with a record wavelength span , 1996, IEEE Photonics Technology Letters.

[21]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.