Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method

Yanlei Hu; Zhongyu Wang; Xuewen Wang; Shengyun Ji; Chenchu Zhang; Jiawen Li; Wulin Zhu; Dong Wu; Jiaru Chu

doi:10.1038/s41377-020-00362-z

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Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method

Original Articles

- Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method
- Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method
- LSA 2020年9卷第4期页码：1167-1177
- Affiliations：
  
  1.CAS Key Laboratory of Mechanical Behavior and Design of Materials, Key Laboratory of Precision Scientific Instrumentation of Anhui Higher Education Institutes, Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei 230026, China
  2.Department of Mechanical Engineering and Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
  3.State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, International School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China
  4.Institute of Industry and Equipment Technology, Hefei University of Technology, Hefei 230009, China
- Author bio：
  
  Jiawen Li (jwl@ustc.edu.cn)
  Dong Wu (dongwu@ustc.edu.cn)
- Funds：
- DOI：10.1038/s41377-020-00362-z
  中图分类号：
- 纸质出版日期：2020，
  
  网络出版日期：2020-07-13，
  
  收稿日期：2020-05-12，
  
  修回日期：2020-06-23，
  
  录用日期：2020-06-28
- Accepted：
Scan QR Code
Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method[J]. LSA, 2020,9(4):1167-1177.

Hu, Y. L. et al. Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method. Light: Science & Applications, 9, 1167-1177 (2020).
Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method[J]. LSA, 2020,9(4):1167-1177. DOI： 10.1038/s41377-020-00362-z.

Hu, Y. L. et al. Efficient full-path optical calculation of scalar and vector diffraction using the Bluestein method. Light: Science & Applications, 9, 1167-1177 (2020). DOI： 10.1038/s41377-020-00362-z.

摘要

Abstract

Efficient calculation of the light diffraction in free space is of great significance for tracing electromagnetic field propagation and predicting the performance of optical systems such as microscopy

photolithography

and manipulation. However

existing calculation methods suffer from low computational efficiency and poor flexibility. Here

we present a fast and flexible calculation method for computing scalar and vector diffraction in the corresponding optical regimes using the Bluestein method. The computation time can be substantially reduced to the sub-second level

which is 10

faster than that achieved by the direct integration approach (~hours level) and 10

faster than that achieved by the fast Fourier transform method (~minutes level). The high efficiency facilitates the ultrafast evaluation of light propagation in diverse optical systems. Furthermore

the region of interest and the sampling numbers can be arbitrarily chosen

endowing the proposed method with superior flexibility. Based on these results

full-path calculation of a complex optical system is readily demonstrated and verified by experimental results

laying a foundation for real-time light field analysis for realistic optical implementation such as imaging

laser processing

and optical manipulation.

关键词

Keywords

references

Willig, K. I., Harke, B., Medda, R.&Hell, S. W. STED microscopy with continuous wave beams.Nat. Methods4, 915–918 (2007)..

Kawata, S. et al. Finer features for functional microdevices.Nature412, 697–698 (2001)..

Andrew, T. L., Tsai, H. Y.&Menon, R. Confining light to deep subwavelength dimensions to enable optical nanopatterning.Science324, 917–921 (2009)..

Scott, T. F. et al. Two-color single-photon photoinitiation and photoinhibition for subdiffraction photolithography.Science324, 913–917 (2009)..

Li, L. J. et al. Achieving λ/20 resolution by one-color initiation and deactivation of polymerization.Science324, 910–913 (2009)..

Grier, D. G. A revolution in optical manipulation.Nature424, 810–816 (2003)..

Block, S. M. Making light work with optical tweezers.Nature360, 493–495 (1992)..

Mezouari, S.&Harvey, A. R. Validity of fresnel and fraunhofer approximations in scalar diffraction.J. Opt. A5, S86–S91 (2003)..

Sheppard, C. J. R.&Matthews, H. J. Imaging in high-aperture optical systems.J. Opt. Soc. Am. A4, 1354–1360 (1987)..

Lee, K. G. et al. Vector field microscopic imaging of light.Nat. Photonics1, 53–56 (2007)..

Dorn, R., Quabis, S.&Leuchs, G. Sharper focus for a radially polarized light beam.Phys. Rev. Lett.91, 233901 (2003)..

Wolf, E. Electromagnetic diffraction in optical systems. Ⅰ. An integral representation of the image field.Proc. R. Soc. A253, 349–357 (1959)..

Hao, X., Kuang, C. F., Wang, T. T.&Liu, X. Effects of polarization on the de-excitation dark focal spot in STED microscopy.J. Opt.12, 115707 (2010)..

Urbach, H. P.&Pereira, S. F. Field in focus with a maximum longitudinal electric component.Phys. Rev. Lett.100, 123904 (2008)..

Leutenegger, M. et al. Fast focus field calculations.Opt. Express14, 11277–11291 (2006)..

Lin, J. et al. Fast vectorial calculation of the volumetric focused field distribution by using a three-dimensional Fourier transform.Opt. Express20, 1060–1069 (2012)..

Lin, J. et al. Direct calculation of a three-dimensional diffracted field.Opt. Letters36, 1341–1343 (2011)..

Boruah, B. R.&Neil, M. A. A. Focal field computation of an arbitrarily polarized beam using fast Fourier transforms.Opt. Commun.282, 4660–4667 (2009)..

Nie, Z. Q. et al. Three-dimensional super-resolution longitudinal magnetization spot arrays.Light Sci. Appl.6, e17032 (2017)..

Born, M.&Wolf, E.Principles of Optics7th edn (Cambridge University Press, Cambridge, 1999).

Richards, B.&Wolf, E. Electromagnetic diffraction in optical systems, Ⅱ. Structure of the image field in an aplanatic system.Proc. R. Soc. A253, 358–379 (1959)..

Bluestein, L. A linear filtering approach to the computation of discrete Fourier transform.IEEE Trans. Audio Electroacoust.18, 451–455 (1970)..

Rabiner, L., Schafer, R.&Rader, C. The chirp z-transform algorithm.IEEE Trans. Audio Electroacoust.17, 86–92 (1969)..

Kim, H. et al. In situ single-atom array synthesis using dynamic holographic optical tweezers.Nat. Commun.7, 13317 (2016)..

Li, X. P. et al. Athermally photoreduced graphene oxides for three-dimensional holographic images.Nat. Commun.6, 6984 (2015)..

Hu, Y. L. et al. High-efficiency fabrication of aspheric microlens arrays by holographic femtosecond laser-induced photopolymerization.Appl. Phys. Lett.103, 141112 (2013)..

Ni, J. C. et al. Three-dimensional chiral microstructures fabricated by structured optical vortices in isotropic material.Light Sci. Appl.6, e17011 (2017)..

Zalevsky, Z., Mendlovic, D.&Dorsch, R. G. Gerchberg–Saxton algorithm applied in the fractional Fourier or the Fresnel domain.Opt. Lett.21, 842–844 (1996)..

Hu, Y. L. et al. Fast bits recording in photoisomeric polymers by phase-modulated femtosecond laser.IEEE Photonics Technol. Lett.26, 1154–1156 (2014)..

Wang, H. F. et al. Creation of a needle of longitudinally polarized light in vacuum using binary optics.Nat. Photonics2, 501–505 (2008)..

Wang, S. C. et al. Ultralong pure longitudinal magnetization needle induced by annular vortex binary optics.Opt. Lett.39, 5022–5025 (2014)..

Hell, S. W.&Wichmann, J. Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy.Opt. Lett.19, 780–782 (1994)..

Gan, Z. S. et al. Three-dimensional deep sub-diffraction optical beam lithography with 9 nm feature size.Nat. Commun.4, 2061 (2013)..

Yu, N. F. et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction.Science334, 333–337 (2011)..

Khorasaninejad, M. et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging.Science352, 1190–1194 (2016)..

Yu, N. F.&Capasso, F. Flat optics with designer metasurfaces.Nat. Mater.13, 139–150 (2014)..

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