Design of Varied Line Spacing Holographic Gratings Based on Cascade Evolutionary Strategy

In the optimal design of varied line spacing (VLS) holographic grating, it is expected to locate multiple alternative solutions in the complicated objective landscape. A cascade evolutionary strategy (CES) algorithm is proposed to solve the multimodal optimization problem. The inner ES works as a local search operator to exploit the niches, while the outer ES works as a regulator to adjust the parameters of inner ES, and introduces competition between the niches. Optimization results of both test function and practical design prove the efficiency and usefulness of CES

[1]  M Duban.  Holographic aspheric gratings printed with aberrant waves. , 1987, Applied optics.

[2]  Shyam Singh,et al.  Diffraction gratings: aberrations and applications , 1999 .

[3]  Masato Koike,et al.  Design of holographic gratings recorded with aspheric wave-front recording optics for soft X-ray flat-field spectrographs , 1999 .

[4]  Ralph R. Martin,et al.  A Sequential Niche Technique for Multimodal Function Optimization , 1993, Evolutionary Computation.

[5]  Kazuo Sano,et al.  Fabrication of a varied-line-spacing plane grating with aspheric wavefront holographic recording for a new grazing incidence monochromator at the Photon Factory , 1997, Optics & Photonics.

[6]  René Thomsen,et al.  Multimodal optimization using crowding-based differential evolution , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[7]  Hyun-Kyo Jung,et al.  A novel algorithm for multimodal function optimization based on evolution strategy , 2004, IEEE Transactions on Magnetics.

[8]  Christopher Palmer.  Theory of second-generation holographic diffraction gratings , 1989 .

[9]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[10]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[11]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1992, Artificial Intelligence.

[12]  M Koike,et al.  Aspheric wave-front recording optics for holographic gratings. , 1995, Applied optics.

[13]  Bruno Sareni,et al.  Fitness sharing and niching methods revisited , 1998, IEEE Trans. Evol. Comput..

[14]  Yoshihisa Harada,et al.  New Blazed Holographic Grating Fabricated By Using An Aspherical Recording With An Ion-Etching Method , 1987, Optics & Photonics.