Dynamic control of transverse magnetization spot arrays

Weichao Yan; Zhongquan Nie; Xiaofei Liu; Guoqiang Lan; Xueru Zhang; Yuxiao Wang; Yinglin Song

doi:10.1364/OE.26.016824

Dynamic control of transverse magnetization spot arrays

Weichao Yan, Zhongquan Nie, Xiaofei Liu, Guoqiang Lan, Xueru Zhang, Yuxiao Wang, and Yinglin Song

Optics Express
Vol. 26,
Issue 13,
pp. 16824-16835
(2018)
•https://doi.org/10.1364/OE.26.016824

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Weichao Yan, Zhongquan Nie, Xiaofei Liu, Guoqiang Lan, Xueru Zhang, Yuxiao Wang, and Yinglin Song, "Dynamic control of transverse magnetization spot arrays," Opt. Express 26, 16824-16835 (2018)

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Related Topics
Table of Contents Category
- Optoelectronics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Magneto-optical materials (210.3820)
- Resolution (350.5730)
- Diffraction theory (260.1960)
- Polarization (260.5430)

About this Article
History
- Original Manuscript: April 17, 2018
- Revised Manuscript: June 7, 2018
- Manuscript Accepted: June 7, 2018
- Published: June 15, 2018

Accessible

Open Access

Abstract

We propose a feasible strategy for firstly constructing diffraction-limited light-induced magnetization spot arrays capable of dynamically controlling transverse polarization orientation of each spot. To achieve this goal, we subtly design a tailored incident light comprised of two sorts of beams and sufficiently demonstrate tit’s production through phase modulation of a radially polarized beam. Via tightly focusing counter-propagating composite illuminating beams in a 4π optical microscopic configuration, two orthogonally polarized focal fields with π/2 phase difference between them are formed, inducing a three-dimensional (3D) super-resolved transverse magnetization spot in the magnetic-optical (MO) film. Exploiting the ideal of the multi-zone plate (MZP) filter, we further achieve versatile magnetization spot arrays with controllable in-plane polarization direction in each spot. Such well-defined magnetization behavior is attributed to not merely the coherent interference of vectorial optical waves, but also non-overlapping superposition of localized focal fields. Our achievable outcomes pave the way for practical applications in spintronics and multi-value MO parallelized storage.

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References

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Publication

M. N. Baibich, J. M. Broto, A. Fert, F. N. Van Dau, F. Petroff, P. Etienne, G. Creuzet, A. Friederich, and J. Chazelas, “Giant Magnetoresistance of (001)Fe/(001)Cr Magnetic Superlattices,” Phys. Rev. Lett. 61(21), 2472–2475 (1998).
[Crossref]
S. Iwasaki, “Perpendicular magnetic recording–evolution and future,” IEEE Trans. Magn. 20(5), 657–662 (1984).
[Crossref]
K. Huang, H. Ye, J. Teng, S. P. Yeo, B. Luk’yanchuk, and C.-W. Qiu, “Optimization-free superoscillatory lens using phase and amplitude masks,” Laser Photon. Rev. 8(1), 152–157 (2014).
[Crossref]
H. Ye, C.-W. Qiu, K. Huang, J. Teng, B. Luk’yanchuk, and S. P. Yeo, “Creation of a longitudinally polarized subwavelength hotspot with an ultra-thin planar lens: vectorial Rayleigh–Sommerfeld method,” Laser Phys. Lett. 10(6), 065004 (2013).
[Crossref]
J. P. van der Ziel, P. S. Pershan, and L. D. Malmstrom, “Optically-induced magnetization resulting from the inverse Faraday effect,” Phys. Rev. Lett. 15(5), 190–193 (1965).
[Crossref]
C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk, A. Tsukamoto, A. Itoh, and T. Rasing, “All-optical magnetic recording with circularly polarized light,” Phys. Rev. Lett. 99(4), 047601 (2007).
[Crossref] [PubMed]
A. R. Khorsand, M. Savoini, A. Kirilyuk, A. V. Kimel, A. Tsukamoto, A. Itoh, and T. Rasing, “Role of magnetic circular dichroism in all-optical magnetic recording,” Phys. Rev. Lett. 108(12), 127205 (2012).
[Crossref] [PubMed]
C.-H. Lambert, S. Mangin, B. S. D. C. S. Varaprasad, Y. K. Takahashi, M. Hehn, M. Cinchetti, G. Malinowski, K. Hono, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “All-optical control of ferromagnetic thin films and nanostructures,” Science 345, 1337 (2014).
[Crossref] [PubMed]
Y. Zhang, Y. Okuno, and X. Xu, “All-optical magnetic superresolution with binary pupil filters,” J. Opt. Soc. Am. B 26(7), 1379–1383 (2009).
[Crossref]
Y. Zhang and J. Bai, “Theoretical study on all-optical magnetic recording using a solid immersion lens,” J. Opt. Soc. Am. B 26(1), 176–182 (2009).
[Crossref]
L. E. Helseth, “Light-induced magnetic vortices,” Opt. Lett. 36(6), 987–989 (2011).
[Crossref] [PubMed]
S. Wang, X. Li, J. Zhou, and M. Gu, “Ultralong pure longitudinal magnetization needle induced by annular vortex binary optics,” Opt. Lett. 39(17), 5022–5025 (2014).
[Crossref] [PubMed]
W. Ma, D. Zhang, L. Zhu, and J. Chen, “Super-long longitudinal magnetization needle generated by focusing an azimuthally polarized and phase–modulated beam,” Chin. Opt. Lett. 13(5), 052101 (2015).
[Crossref]
W. Yan, Z. Nie, X. Zhang, Y. Wang, and Y. Song, “Theoretical guideline for generation of an ultralong magnetization needle and a super-long conveyed spherical magnetization chain,” Opt. Express 25(19), 22268–22279 (2017).
[Crossref] [PubMed]
Z. Nie, W. Ding, D. Li, X. Zhang, Y. Wang, and Y. Song, “Spherical and sub-wavelength longitudinal magnetization generated by 4π tightly focusing radially polarized vortex beams,” Opt. Express 23(2), 690–701 (2015).
[Crossref] [PubMed]
Z. Nie, W. Ding, G. Shi, D. Li, X. Zhang, Y. Wang, and Y. Song, “Achievement and steering of light-induced sub-wavelength longitudinal magnetization chain,” Opt. Express 23(16), 21296–21305 (2015).
[Crossref] [PubMed]
L. Gong, L. Wang, Z. Zhu, X. Wang, H. Zhao, and B. Gu, “Generation and manipulation of super-resolution spherical magnetization chains,” Appl. Opt. 55(21), 5783–5789 (2016).
[Crossref] [PubMed]
M. Udhayakumar, K. Prabakaran, K.B. Rajesh, Z. Jaroszewicz, and A. Belafhal, “Generating sub wavelength pure longitudinal magnetization probe and chain using complex phase plate,” Opt. Commun. 407, 275–279 (2018).
[Crossref]
Z. Nie, H. Lin, X. Liu, A. Zhai, Y. Tian, W. Wang, D. Li, W. Ding, X. Zhang, Y. Song, and B. Jia, “Three-dimensional super-resolution longitudinal magnetization spot arrays,” Light Sci. Appl. 6, e17032 (2017).
[Crossref]
C. Hao, Z. Nie, H. Ye, H. Li, Y. Luo, R. Feng, X. Yu, F. Wen, Y. Zhang, C. Yu, J. Teng, B. Luk’yanchuk, and C. Qiu, “Three-dimensional supercritical resolved light-induced magnetic holography,” Sci. Adv. 3e1701398 (2017).
[Crossref] [PubMed]
S. Wang, Y. Cao, and X. Li, “Generation of uniformly oriented in-plane magnetization with near-unity purity in 4π microscopy,” Opt. Lett. 42(23), 5050–5053 (2017).
[Crossref] [PubMed]
P. Zijlstra, J. W. M. Chon, and M. Gu, “Five-dimensional optical recording mediated by surface plasmons in gold nanorods,” Nature 459, 410 (2009).
[Crossref] [PubMed]
M. Gu, X. Li, and Y. Cao, “Optical storage arrays: a perspective for future big data storage,” Light Sci. Appl. 3, e177 (2014).
[Crossref]
L. Zhu, M. Sun, D. Zhang, J. Yu, J. Wen, and J. Chen, “Multifocal array with controllable polarization in each focal spot,” Opt. Express 23(19), 24688–24698 (2015).
[Crossref] [PubMed]
L. Zhu, R. Yang, D. Zhang, J. Yu, and J. Chen, “Dynamic three-dimensional multifocal spots in high numerical-aperture objectives,” Opt. Express 25(20), 24756–24766 (2017).
[Crossref] [PubMed]
H. Ren, X. Li, and M. Gu, “Polarization-multiplexed multifocal arrays by a π–phase–step–modulated azimuthally polarized beam,” Opt. Lett. 39(24), 6771–6774 (2014).
[Crossref] [PubMed]
Y. Jiang, X. Li, and M. Gu, “Generation of sub-diffraction-limited pure longitudinal magnetization by the inverse Faraday effect by tightly focusing an azimuthally polarized vortex beam,” Opt. Lett. 38(16), 2957–2960 (2013).
[Crossref] [PubMed]
G. Y. Chen, F. Song, and H. T. Wang, “Sharper focal spot generated by 4π tight focusing of higher–order Laguerre–Gaussian radially polarized beam,” Opt. Lett. 38(19), 3937–3940 (2013).
[Crossref] [PubMed]
B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system,” Proc. R. Soc. Lond. A Math. Phys. Sci. 253(1274), 358 (1959).
[Crossref]
K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express 7(2), 77–87(2000).
[Crossref] [PubMed]
C-H. Lambert, S. Mangin, B. S. D. Ch. S. Varaprasad, Y. K. Takahashi, M. Hehn, M. Cinchetti, G. Malinowski, K. Hono, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “All-optical control of ferromagnetic thin films and nanostructures,” Science 345(6202), 1337–1340(2014).
[Crossref] [PubMed]
S. Mangin, M. Gottwald, C-H. Lambert, D. Steil, V. Uhlíř, L. Pang, M. Hehn, S. Alebrand, M. Cinchetti, G. Malinowski, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “Engineered materials for all-optical helicity-dependent magnetic switching,” Nature Mater. 13(3), 286(2014).
[Crossref]
L. Le Guyader, M. Savoini, S. El Moussaoui, M. Buzzi, A. Tsukamoto, A. Itoh, A. Kirilyuk, T. Rasing, A.V. Kimel, and F. Nolting, “Nanoscale sub-100 picosecond all-optical magnetization switching in GdFeCo microstructures,” Nature Commun. 6, 5839(2015).
[Crossref]
S. Wang, X. Li, J. Zhou, and M. Gu, “All-optically configuring the inverse Faraday effect for nanoscale perpendicular magnetic recording,” Opt. Express 23(10), 13530–13536 (2015).
[Crossref] [PubMed]
P. D. Majors, K. R. Minard, E. J. Ackerman, G. R. Holtom, D. F. Hopkins, C. I. Parkinson, T. J. Weber, and R. A. Wind, “A combined confocal and magnetic resonance microscope for biological studies,” Rev. Sci. Instrum. 73, 4329 (2002).
[Crossref]
M. Grinolds, M. Warner, K. De Greve, Y. Dovzhenko, L. Thiel, R. L. Walsworth, S. Hong, P. Maletinsky, and A. Yacoby, “Subnanometre resolution in three-dimensional magnetic resonance imaging of individual dark spins,” Nat. Nanotechnol. 73, 279–284 (2014).
[Crossref]
X. L. Wang, J. Ding, W. J. Ni, C. S. Guo, and H.-T. Wang, “Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement,” Opt. Lett. 32(24), 3549–3551 (2007).
[Crossref] [PubMed]

2018 (1)

M. Udhayakumar, K. Prabakaran, K.B. Rajesh, Z. Jaroszewicz, and A. Belafhal, “Generating sub wavelength pure longitudinal magnetization probe and chain using complex phase plate,” Opt. Commun. 407, 275–279 (2018).
[Crossref]

2017 (5)

Z. Nie, H. Lin, X. Liu, A. Zhai, Y. Tian, W. Wang, D. Li, W. Ding, X. Zhang, Y. Song, and B. Jia, “Three-dimensional super-resolution longitudinal magnetization spot arrays,” Light Sci. Appl. 6, e17032 (2017).
[Crossref]

C. Hao, Z. Nie, H. Ye, H. Li, Y. Luo, R. Feng, X. Yu, F. Wen, Y. Zhang, C. Yu, J. Teng, B. Luk’yanchuk, and C. Qiu, “Three-dimensional supercritical resolved light-induced magnetic holography,” Sci. Adv. 3e1701398 (2017).
[Crossref] [PubMed]

S. Wang, Y. Cao, and X. Li, “Generation of uniformly oriented in-plane magnetization with near-unity purity in 4π microscopy,” Opt. Lett. 42(23), 5050–5053 (2017).
[Crossref] [PubMed]

W. Yan, Z. Nie, X. Zhang, Y. Wang, and Y. Song, “Theoretical guideline for generation of an ultralong magnetization needle and a super-long conveyed spherical magnetization chain,” Opt. Express 25(19), 22268–22279 (2017).
[Crossref] [PubMed]

L. Zhu, R. Yang, D. Zhang, J. Yu, and J. Chen, “Dynamic three-dimensional multifocal spots in high numerical-aperture objectives,” Opt. Express 25(20), 24756–24766 (2017).
[Crossref] [PubMed]

2016 (1)

L. Gong, L. Wang, Z. Zhu, X. Wang, H. Zhao, and B. Gu, “Generation and manipulation of super-resolution spherical magnetization chains,” Appl. Opt. 55(21), 5783–5789 (2016).
[Crossref] [PubMed]

2015 (6)

W. Ma, D. Zhang, L. Zhu, and J. Chen, “Super-long longitudinal magnetization needle generated by focusing an azimuthally polarized and phase–modulated beam,” Chin. Opt. Lett. 13(5), 052101 (2015).
[Crossref]

L. Zhu, M. Sun, D. Zhang, J. Yu, J. Wen, and J. Chen, “Multifocal array with controllable polarization in each focal spot,” Opt. Express 23(19), 24688–24698 (2015).
[Crossref] [PubMed]

L. Le Guyader, M. Savoini, S. El Moussaoui, M. Buzzi, A. Tsukamoto, A. Itoh, A. Kirilyuk, T. Rasing, A.V. Kimel, and F. Nolting, “Nanoscale sub-100 picosecond all-optical magnetization switching in GdFeCo microstructures,” Nature Commun. 6, 5839(2015).
[Crossref]

S. Wang, X. Li, J. Zhou, and M. Gu, “All-optically configuring the inverse Faraday effect for nanoscale perpendicular magnetic recording,” Opt. Express 23(10), 13530–13536 (2015).
[Crossref] [PubMed]

Z. Nie, W. Ding, D. Li, X. Zhang, Y. Wang, and Y. Song, “Spherical and sub-wavelength longitudinal magnetization generated by 4π tightly focusing radially polarized vortex beams,” Opt. Express 23(2), 690–701 (2015).
[Crossref] [PubMed]

Z. Nie, W. Ding, G. Shi, D. Li, X. Zhang, Y. Wang, and Y. Song, “Achievement and steering of light-induced sub-wavelength longitudinal magnetization chain,” Opt. Express 23(16), 21296–21305 (2015).
[Crossref] [PubMed]

2014 (8)

S. Wang, X. Li, J. Zhou, and M. Gu, “Ultralong pure longitudinal magnetization needle induced by annular vortex binary optics,” Opt. Lett. 39(17), 5022–5025 (2014).
[Crossref] [PubMed]

K. Huang, H. Ye, J. Teng, S. P. Yeo, B. Luk’yanchuk, and C.-W. Qiu, “Optimization-free superoscillatory lens using phase and amplitude masks,” Laser Photon. Rev. 8(1), 152–157 (2014).
[Crossref]

C.-H. Lambert, S. Mangin, B. S. D. C. S. Varaprasad, Y. K. Takahashi, M. Hehn, M. Cinchetti, G. Malinowski, K. Hono, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “All-optical control of ferromagnetic thin films and nanostructures,” Science 345, 1337 (2014).
[Crossref] [PubMed]

C-H. Lambert, S. Mangin, B. S. D. Ch. S. Varaprasad, Y. K. Takahashi, M. Hehn, M. Cinchetti, G. Malinowski, K. Hono, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “All-optical control of ferromagnetic thin films and nanostructures,” Science 345(6202), 1337–1340(2014).
[Crossref] [PubMed]

S. Mangin, M. Gottwald, C-H. Lambert, D. Steil, V. Uhlíř, L. Pang, M. Hehn, S. Alebrand, M. Cinchetti, G. Malinowski, Y. Fainman, M. Aeschlimann, and E. E. Fullerton, “Engineered materials for all-optical helicity-dependent magnetic switching,” Nature Mater. 13(3), 286(2014).
[Crossref]

M. Grinolds, M. Warner, K. De Greve, Y. Dovzhenko, L. Thiel, R. L. Walsworth, S. Hong, P. Maletinsky, and A. Yacoby, “Subnanometre resolution in three-dimensional magnetic resonance imaging of individual dark spins,” Nat. Nanotechnol. 73, 279–284 (2014).
[Crossref]

M. Gu, X. Li, and Y. Cao, “Optical storage arrays: a perspective for future big data storage,” Light Sci. Appl. 3, e177 (2014).
[Crossref]

H. Ren, X. Li, and M. Gu, “Polarization-multiplexed multifocal arrays by a π–phase–step–modulated azimuthally polarized beam,” Opt. Lett. 39(24), 6771–6774 (2014).
[Crossref] [PubMed]

2013 (3)

Y. Jiang, X. Li, and M. Gu, “Generation of sub-diffraction-limited pure longitudinal magnetization by the inverse Faraday effect by tightly focusing an azimuthally polarized vortex beam,” Opt. Lett. 38(16), 2957–2960 (2013).
[Crossref] [PubMed]

G. Y. Chen, F. Song, and H. T. Wang, “Sharper focal spot generated by 4π tight focusing of higher–order Laguerre–Gaussian radially polarized beam,” Opt. Lett. 38(19), 3937–3940 (2013).
[Crossref] [PubMed]

H. Ye, C.-W. Qiu, K. Huang, J. Teng, B. Luk’yanchuk, and S. P. Yeo, “Creation of a longitudinally polarized subwavelength hotspot with an ultra-thin planar lens: vectorial Rayleigh–Sommerfeld method,” Laser Phys. Lett. 10(6), 065004 (2013).
[Crossref]

2012 (1)

A. R. Khorsand, M. Savoini, A. Kirilyuk, A. V. Kimel, A. Tsukamoto, A. Itoh, and T. Rasing, “Role of magnetic circular dichroism in all-optical magnetic recording,” Phys. Rev. Lett. 108(12), 127205 (2012).
[Crossref] [PubMed]

2011 (1)

L. E. Helseth, “Light-induced magnetic vortices,” Opt. Lett. 36(6), 987–989 (2011).
[Crossref] [PubMed]

2009 (3)

P. Zijlstra, J. W. M. Chon, and M. Gu, “Five-dimensional optical recording mediated by surface plasmons in gold nanorods,” Nature 459, 410 (2009).
[Crossref] [PubMed]

Y. Zhang, Y. Okuno, and X. Xu, “All-optical magnetic superresolution with binary pupil filters,” J. Opt. Soc. Am. B 26(7), 1379–1383 (2009).
[Crossref]

Y. Zhang and J. Bai, “Theoretical study on all-optical magnetic recording using a solid immersion lens,” J. Opt. Soc. Am. B 26(1), 176–182 (2009).
[Crossref]

2007 (2)

C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk, A. Tsukamoto, A. Itoh, and T. Rasing, “All-optical magnetic recording with circularly polarized light,” Phys. Rev. Lett. 99(4), 047601 (2007).
[Crossref] [PubMed]

X. L. Wang, J. Ding, W. J. Ni, C. S. Guo, and H.-T. Wang, “Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement,” Opt. Lett. 32(24), 3549–3551 (2007).
[Crossref] [PubMed]

2002 (1)

P. D. Majors, K. R. Minard, E. J. Ackerman, G. R. Holtom, D. F. Hopkins, C. I. Parkinson, T. J. Weber, and R. A. Wind, “A combined confocal and magnetic resonance microscope for biological studies,” Rev. Sci. Instrum. 73, 4329 (2002).
[Crossref]

2000 (1)

K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express 7(2), 77–87(2000).
[Crossref] [PubMed]

1998 (1)

M. N. Baibich, J. M. Broto, A. Fert, F. N. Van Dau, F. Petroff, P. Etienne, G. Creuzet, A. Friederich, and J. Chazelas, “Giant Magnetoresistance of (001)Fe/(001)Cr Magnetic Superlattices,” Phys. Rev. Lett. 61(21), 2472–2475 (1998).
[Crossref]

1984 (1)

S. Iwasaki, “Perpendicular magnetic recording–evolution and future,” IEEE Trans. Magn. 20(5), 657–662 (1984).
[Crossref]

1965 (1)

J. P. van der Ziel, P. S. Pershan, and L. D. Malmstrom, “Optically-induced magnetization resulting from the inverse Faraday effect,” Phys. Rev. Lett. 15(5), 190–193 (1965).
[Crossref]

1959 (1)

B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system,” Proc. R. Soc. Lond. A Math. Phys. Sci. 253(1274), 358 (1959).
[Crossref]

Ackerman, E. J.

Aeschlimann, M.

Alebrand, S.

Bai, J.

Y. Zhang and J. Bai, “Theoretical study on all-optical magnetic recording using a solid immersion lens,” J. Opt. Soc. Am. B 26(1), 176–182 (2009).
[Crossref]

Baibich, M. N.

Belafhal, A.

Broto, J. M.

Brown, T. G.

K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express 7(2), 77–87(2000).
[Crossref] [PubMed]

Buzzi, M.

Cao, Y.

S. Wang, Y. Cao, and X. Li, “Generation of uniformly oriented in-plane magnetization with near-unity purity in 4π microscopy,” Opt. Lett. 42(23), 5050–5053 (2017).
[Crossref] [PubMed]

M. Gu, X. Li, and Y. Cao, “Optical storage arrays: a perspective for future big data storage,” Light Sci. Appl. 3, e177 (2014).
[Crossref]

Chazelas, J.

Chen, G. Y.

Chen, J.

L. Zhu, R. Yang, D. Zhang, J. Yu, and J. Chen, “Dynamic three-dimensional multifocal spots in high numerical-aperture objectives,” Opt. Express 25(20), 24756–24766 (2017).
[Crossref] [PubMed]

L. Zhu, M. Sun, D. Zhang, J. Yu, J. Wen, and J. Chen, “Multifocal array with controllable polarization in each focal spot,” Opt. Express 23(19), 24688–24698 (2015).
[Crossref] [PubMed]

Chon, J. W. M.

P. Zijlstra, J. W. M. Chon, and M. Gu, “Five-dimensional optical recording mediated by surface plasmons in gold nanorods,” Nature 459, 410 (2009).
[Crossref] [PubMed]

Cinchetti, M.

Creuzet, G.

De Greve, K.

Ding, J.

Ding, W.

Dovzhenko, Y.

Etienne, P.

Fainman, Y.

Feng, R.

Fert, A.

Friederich, A.

Fullerton, E. E.

Gong, L.

L. Gong, L. Wang, Z. Zhu, X. Wang, H. Zhao, and B. Gu, “Generation and manipulation of super-resolution spherical magnetization chains,” Appl. Opt. 55(21), 5783–5789 (2016).
[Crossref] [PubMed]

Gottwald, M.

Grinolds, M.

Gu, B.

L. Gong, L. Wang, Z. Zhu, X. Wang, H. Zhao, and B. Gu, “Generation and manipulation of super-resolution spherical magnetization chains,” Appl. Opt. 55(21), 5783–5789 (2016).
[Crossref] [PubMed]

Gu, M.

H. Ren, X. Li, and M. Gu, “Polarization-multiplexed multifocal arrays by a π–phase–step–modulated azimuthally polarized beam,” Opt. Lett. 39(24), 6771–6774 (2014).
[Crossref] [PubMed]

M. Gu, X. Li, and Y. Cao, “Optical storage arrays: a perspective for future big data storage,” Light Sci. Appl. 3, e177 (2014).
[Crossref]

S. Wang, X. Li, J. Zhou, and M. Gu, “Ultralong pure longitudinal magnetization needle induced by annular vortex binary optics,” Opt. Lett. 39(17), 5022–5025 (2014).
[Crossref] [PubMed]

P. Zijlstra, J. W. M. Chon, and M. Gu, “Five-dimensional optical recording mediated by surface plasmons in gold nanorods,” Nature 459, 410 (2009).
[Crossref] [PubMed]

Guo, C. S.

Guyader, L. Le

Hansteen, F.

Hao, C.

Hehn, M.

Helseth, L. E.

L. E. Helseth, “Light-induced magnetic vortices,” Opt. Lett. 36(6), 987–989 (2011).
[Crossref] [PubMed]

Holtom, G. R.

Hong, S.

Hono, K.

Hopkins, D. F.

Huang, K.

Itoh, A.

Iwasaki, S.

S. Iwasaki, “Perpendicular magnetic recording–evolution and future,” IEEE Trans. Magn. 20(5), 657–662 (1984).
[Crossref]

Jaroszewicz, Z.

Jia, B.

Jiang, Y.

Khorsand, A. R.

Kimel, A. V.

Kimel, A.V.

Kirilyuk, A.

Lambert, C.-H.

Lambert, C-H.

Li, D.

Li, H.

Li, X.

S. Wang, Y. Cao, and X. Li, “Generation of uniformly oriented in-plane magnetization with near-unity purity in 4π microscopy,” Opt. Lett. 42(23), 5050–5053 (2017).
[Crossref] [PubMed]

M. Gu, X. Li, and Y. Cao, “Optical storage arrays: a perspective for future big data storage,” Light Sci. Appl. 3, e177 (2014).
[Crossref]

H. Ren, X. Li, and M. Gu, “Polarization-multiplexed multifocal arrays by a π–phase–step–modulated azimuthally polarized beam,” Opt. Lett. 39(24), 6771–6774 (2014).
[Crossref] [PubMed]

S. Wang, X. Li, J. Zhou, and M. Gu, “Ultralong pure longitudinal magnetization needle induced by annular vortex binary optics,” Opt. Lett. 39(17), 5022–5025 (2014).
[Crossref] [PubMed]

Lin, H.

Liu, X.

Luk’yanchuk, B.

Luo, Y.

Ma, W.

Majors, P. D.

Maletinsky, P.

Malinowski, G.

Malmstrom, L. D.

J. P. van der Ziel, P. S. Pershan, and L. D. Malmstrom, “Optically-induced magnetization resulting from the inverse Faraday effect,” Phys. Rev. Lett. 15(5), 190–193 (1965).
[Crossref]

Mangin, S.

Minard, K. R.

Moussaoui, S. El

Ni, W. J.

Nie, Z.

Nolting, F.

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Supplementary Material (2)

Name	Description
» Visualization 1	The polarization orientation of the magnetization spot is transverse direction. When the two phase filters revolve, the magnetization spot rotates correspondingly.
» Visualization 2	The four magnetization spots have different polarization orientations. Moreover, the polarization direction of each magnetization spot can be varied in the horizontal plane.

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Fig. 1 (a) Raytracing models for tightly focusing radially polarized beams (a1) and radially polarized beams imposed with π-phase-step filters along the y axis (a2), respectively. (b) Schematic diagram of the typical 4π focusing configuration to produce light-induced magnetization. A MO film locates at the confocal plane of the system, which is illuminated by two counter-propagating radially polarized beams modulated by PF₁ and PF₂. Here, PF₁ and PF₂ denote the left and right phase filters, respectively.

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Fig. 2 Electric intensity components |E_i|² and corresponding phase angles ϕ_i for tightly focusing the first part of the incident beam in the z – y plane, normalized to the maximal value of the total electric intensity. Throughout our simulation, the black circle denotes the boundary between near the focus and outside the focus.

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Fig. 3 Electric intensity component |E_x|² and the corresponding phase angle for tightly focusing the second part of the incident light in the z – y plane, normalized to the maximum value of the total electric intensity.

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Fig. 4 Normalized magnetization component M_y in the focus vs the amplitude factor γ.

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Fig. 5 (a1)–(a3) Distributions of M_x in the x – y plane, the z – x plane and the z – y plane, respectively. (b1)–(b3) Distributions of M_y in the x – y plane, the z – x plane and the z – y plane, respectively. (c1)–(c3) Distributions of M_z in the x – y plane,−the z – x plane and the z – y plane, respectively. All the values are normalized to the maximal value of magnetization intensity M_t. The dimensional unit of each image is λ.

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Fig. 6 Distributions of the dominated magnetization field M_y along the x axis, the y axis and the z axis.

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Fig. 7 (a), (b) Phase distributions for the PF₁ and PF₂. Here, R indicates the maximal radius of the incident pupil. (c) Normalized magnetization intensity (color map) as well as the polarization orientation (blue arrows) for a magnetization spot. (For the movie of the magnetization spot with variable polarization orientation, see Visualization 1.)

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Fig. 8 Normalized intensities (color map) as well as the polarization orientations (blue arrows) for magnetization spot arrays. (For the movie of the magnetization spot arrays with variable polarization orientation in each spot, see Visualization 2.)

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Equations (4)

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\begin{matrix} \exp (j φ_{+}) = γ + j δ \times sgn (\cos φ), \\ \exp (j φ_{-}) = - γ + j δ \times sgn (\cos φ) . \end{matrix}

\begin{matrix} E_{L (R)} (ρ, ϕ, z) = [\begin{matrix} e_{x} \\ e_{y} \\ e_{z} \end{matrix}] = A_{0} \int_{0}^{α} \int_{0}^{2 π} \sqrt{\cos θ} l (θ) \exp (j φ_{\pm}) [\begin{matrix} \cos θ \cos φ \\ \cos θ \sin φ \\ \pm \sin θ \end{matrix}] \\ \times \exp [\pm j k z \cos θ + j k ρ \sin θ \cos (φ - ϕ)] \sin θ d θ d φ . \end{matrix}

E (ρ, ϕ, z) = E_{L} (ρ, ϕ, z) + E_{R} (ρ, ϕ, z) .

M (ρ, ϕ, z) = j η E (ρ, ϕ, z) \times E^{*} (ρ, ϕ, z),