Focusing and imaging properties of diffractive optical elements with star-ring topological structure

Jie Ke; Junyong Zhang; Yanli Zhang; Meizhi Sun

doi:doi:10.1117/12.2190171

Collection Of theses on high power laser and plasma physics, 2015, 13 (1): 962403, Published Online: May. 27, 2017

Focusing and imaging properties of diffractive optical elements with star-ring topological structure

论文大纲

Jie Ke ^1,2Junyong Zhang ¹Yanli Zhang ¹Meizhi Sun ¹

Author Affiliations

¹ Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

² University of Chinese Academy of Sciences, Beijing 100049, China

diffractive optics star-ring topology mapping function switching sequence Fibonacci

Abstract

A kind of diffractive optical elements (DOE) with star-ring topological structure is proposed and their focusing and imaging properties are studied in detail. The so-called star-ring topological structure denotes that a large number of pinholes distributed in many specific zone orbits. In two dimensional plane, this structure can be constructed by two constrains, one is a mapping function, which yields total potential zone orbits, corresponding to the optical path difference (OPD); the other is a switching sequence based on the given encoded seed elements and recursion relation to operate the valid zone orbits. The focusing and imaging properties of DOE with star-ring topological structure are only determined by the aperiodic sequence, and not relevant to the concrete geometry structure. In this way, we can not only complete the traditional symmetrical DOE, such as circular Dammam grating, Fresnel zone plates, photon sieves, and their derivatives, but also construct asymmetrical elements with anisotropic diffraction pattern. Similarly, free-form surface or three dimensional DOE with star-ring topological structure can be constructed by the same method proposed. In consequence of smaller size, lighter weight, more flexible design, these elements may allow for some new applications in micro and nanphotonics.

References

[1] Kirz, J., “Phase zone plates for x rays and the extreme uv,” J. Opt. Soc. Am., 64(3), 301-309 (1974).

[2] Adnderson, E. H., Boegli, V., and Muray, L. P., “Electron beam lithography digital pattern generator and electronics for generalized curvilinear structures,” J. Vac. Sci. Techol. B, 13, 2529-2534 (1995).

[3] Kyuragi, H., and Urisu, T., “Higher-order suppressed phase zone plates,” Appl. Opt., 24(8), (1985).

[4] Sun, J. A., and Cai, A., “Archaic focusing properties of Fresnel zone plates,” J. Opt. Soc. Am. A, 8, 33-35 (1991).

[5] Kipp, L., Skibowski, M., Johnson, R. L. et al., “Sharper images by focusing soft X-rays with photon sieves,” Nature, 414, 184-187 (2001).

[6] Cao, Q., and Jahns, J., “Focusing analysis of the pinhole photon sieve: individual far field model,” J. Opt. Soc. Am. A, 19(12), 2387-2393 (2002).

[7] Cao, Q., and Jahns, J., “Nonparaxial model for the focusing of highnumerical-aperture photon sieves,” J. Opt. Soc. Am. A, 20(6), 1005-1012 (2003).

[8] Zhang, J., Cao, Q., Lu, X. et al., “Focusing contribution of individual pinholes of a photon sieve_dependence on the order of local ring of underlying traditional Fresnel zone plate,” Chin. Opt. Lett., 8(1), 256-258 (2010).

[9] Giménez, F., Monsoriu, J. A., and Pons, W. D. F. a. A., “Fractal photon sieve,” Opt. Express, 14(25), 11958-11963 (2006).

[10] Jia, J., and Xie, C., “Phase zone photon sieve,” Chin. Phys. B, 18(1), 183-188 (2009).

[11] Andersen, G., “Membrane Photon sieve Telescopes,” Proc. SPIE, 7731, 7731-1-7731-8 (2010).

[12] Cheng, G., Hu, C., Xu, P. et al., “Zernike apodized photon sieves for high-resolution phase-contrast X-ray microscopy,” Opt. Lett., 35(21), 3610-3612 (2010).

[13] Xie, C., Zhu, X., Shi, L. et al., “Spiral photon sieves apodized by digital prolate spheroidal window for the generation of hard-x-ray vortex,” Opt. Lett., 31, 1756-1766 (2010).

[14] Zhang, J., Cao, Q., Lu, X. et al., “Individual far-field model for photon sieves composed of square pinholes,” JOSA A, 27(6), 1342-1346 (2010).

[15] Kallane, M., Buck, J., Harm, S. et al., “Focusing light with a reflection photon sieve,” Opt. Lett., 36, 2405-2407 (2011).

[16] Gao, N., Zhang, Y., and Xie, C., “Circular Fibonacci gratings,” Appl. Opt., 50(31), G142-G148 (2011).

[17] Verma, R., Banerjee, V., and Senthilkumaran, P., “Fractal signatures in the aperiodic Fibonacci grating,” Opt. Lett., 39(9), 2257-2260 (2014).

[18] Verma, R., Sharma, M. K., Senthilkumaran, P. et al., “Analysis of Fibonacci gratings and their diffraction patterns,” J. Opt. Soc. Am. A, 31(7), 1473-1480 (2014).

[19] Calatayud, A., Ferrando, V., Remon, L. et al., “Twin axial vortices generated by Fibonacci lenses,” Opt. Express, 21(8), 10234-10239 (2013).

[20] Monsoriu, J. A., Calatayud, A., Remon, L. et al., “Bifocal Fibonacci Diffractive Lenses,” IEEE Photonics Journal, 5(3), 3400106 (2013).

[21] Ferrando, V., Calatayud, A., Andres, P. et al., “Imaging Properties of Kinoform Fibonacci Lenses,” IEEE Photonics Journal, 6(1), 6500106 (2014).

[22] Dai, H. T., Liu, Y. J., and Sun, X. W., “The focusing property of the spiral Fibonacci zone plate,” Proc. SPIE, 8257, 82570T (2012).

[23] Gil, R. M. a. D., Barbastathis, G., and Smith, H. I., “Photon-sieve lithography,” J. Opt. Soc. Am. A, 22(2), 342-345 (2005).

[24] Kincade, K., “Photon sieves enhance weapons vision,” Laser Focus World, 40(3), 34-37 (2004).

[25] Sabatyan, A., and Roshaninejad, P., “Super-resolving random-Gaussian apodized photon sieve,” Appl. Opt., 51(26), 6315-6318 (2012).

[26] Xie, C., Zhu, X., Li, H. et al., “Feasibility study of hard-x-ray nano focusing above 20 keV using compound photon sieves,” Opt. Lett., 35(23), 4048-4050 (2010).

[27] Zhou, C., Jia, J., and Liu, L., “Circular Dammann grating,” Opt. Lett., 28(22), 2174-2176 (2003).

[28] Horadam, A. F., “A generalized Fibonacci sequence,” The American Mathematical Monthly, 68(5), 455-459 (1961).

Jie Ke, Junyong Zhang, Yanli Zhang, Meizhi Sun. Focusing and imaging properties of diffractive optical elements with star-ring topological structure[J]. Collection Of theses on high power laser and plasma physics, 2015, 13(1): 962403.

Focusing and imaging properties of diffractive optical elements with star-ring topological structure

关于本站 Cookie 的使用提示

全站搜索

Focusing and imaging properties of diffractive optical elements with star-ring topological structure

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索