Abstract

A high NA Fresnel zone plate (FZP) is studied using vectorial angular spectrum theory for realizing the sharpest possible super-Gaussian optical needle with purely longitudinal polarization illuminated by a radially polarized vector beam. Strong dispersion of the FZP results in a light field resembling a super-Gaussian optical needle by selecting an optimal FZP structural wavelength relative to the illumination wavelength and inserting a narrow comb window function into the center-shaded FZP. A 25 μm long longitudinally polarized flattop optical needle with a transverse beam width of about 0.366λ is focused at a distance of 222.5 μm away from a binary amplitude 3.46 mm diameter FZP for a 532.4 nm wavelength in free space.

© 2013 Optical Society of America

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E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

K. Hu, Z. Chen, and J. Pu, Opt. Lett. 37, 3303 (2012).
[CrossRef]

H. Dehez, A. April, and M. Piche, Opt. Express 20, 14891 (2012).
[CrossRef]

2011

J. Lin, K. Yin, Y. Li, and J. Tan, Opt. Lett. 36, 1185 (2011).
[CrossRef]

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

2010

2009

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

2008

J. Stadler, C. Stanciu, C. Stupperich, and A. J. Meixner, Opt. Lett. 33, 681 (2008).
[CrossRef]

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
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D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
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2007

2006

E. J. Botcherby, R. Juskaitis, and T. Wilson, Opt. Commun. 268, 253 (2006).
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2000

1977

1972

Anbarasan, P. M.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

April, A.

Bainier, C.

Botcherby, E. J.

E. J. Botcherby, R. Juskaitis, and T. Wilson, Opt. Commun. 268, 253 (2006).
[CrossRef]

Brown, T. G.

Carter, W. H.

Chad, J. E.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Chang, C.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Chen, C.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Chen, W.

Chen, Z.

Cheng, T.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Chong, C. T.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Courjon, D.

Dehez, H.

Deng, D.

Dennis, M. R.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Gokulakrishnan, K.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

Goldberg, D. E.

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, 1989).

Golub, I.

Grosjean, T.

Guo, Q.

Hu, K.

Juskaitis, R.

E. J. Botcherby, R. Juskaitis, and T. Wilson, Opt. Commun. 268, 253 (2006).
[CrossRef]

Kalosha, V. P.

Kitamura, K.

Kotlyar, V. V.

Kovalev, A. A.

Lee, C.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Li, Y.

Li, Z. F.

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

Lin, D.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Lin, J.

Lindberg, J.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Liu, J.

Liu, T.

Liu, Y.

Lukyanchuk, B.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Mahadevan, G.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

Meixner, A. J.

Mote, R. G.

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

Noda, S.

O’Faolain, L.

Piche, M.

Pu, J.

Rajesh, K. B.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

Rogers, E. T. F.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Roy, T.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Sakai, K.

Savo, S.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Sheppard, C.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Shi, L.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Siegman, A. E.

Stadler, J.

Stafeev, S. S.

Stanciu, C.

Stupperich, C.

Tan, J.

Veerabagu Suresh, N.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

Wang, H.

T. Liu, J. Tan, J. Liu, and H. Wang, Opt. Express 21, 15090 (2013).
[CrossRef]

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Wang, J.

Wilson, T.

E. J. Botcherby, R. Juskaitis, and T. Wilson, Opt. Commun. 268, 253 (2006).
[CrossRef]

Yeh, C.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

Yin, K.

Youngworth, K. S.

Yu, S. F.

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

Zhan, Q.

Zheludev, N. I.

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Zhou, W.

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

D. Lin, C. Chen, C. Chang, T. Cheng, C. Yeh, and C. Lee, Appl. Phys. Lett. 92, 233106 (2008).
[CrossRef]

E. T. F. Rogers, S. Savo, J. Lindberg, T. Roy, M. R. Dennis, and N. I. Zheludev, Appl. Phys. Lett. 102, 031108 (2013).
[CrossRef]

R. G. Mote, S. F. Yu, W. Zhou, and Z. F. Li, Appl. Phys. Lett. 95, 191113 (2009).
[CrossRef]

J. Opt. Soc. Am.

Nat. Mater.

E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, Nat. Mater. 11, 432 (2012).
[CrossRef]

Nat. Photonics

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photonics 2, 501 (2008).
[CrossRef]

Opt. Commun.

E. J. Botcherby, R. Juskaitis, and T. Wilson, Opt. Commun. 268, 253 (2006).
[CrossRef]

Opt. Express

Opt. Laser Technol.

K. B. Rajesh, N. Veerabagu Suresh, P. M. Anbarasan, K. Gokulakrishnan, and G. Mahadevan, Opt. Laser Technol. 43, 1037 (2011).
[CrossRef]

Opt. Lett.

Other

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, 1989).

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Figures (3)

Fig. 1.
Fig. 1.

Schematic diagram for focusing of a radially polarized vector beam with a binary FZP.

Fig. 2.
Fig. 2.

Comparison of the electric energy density distributions in the focal plane (z=f).

Fig. 3.
Fig. 3.

Ultralong super-Gaussian optical needle focused by a binary amplitude FZP. (a) Schematic diagram of a narrow comb window function added to the center-shaded FZP. (b) The on-axis super-Gaussian intensity distribution. (c) |Er|2+|Ez|2 in the xz plane. (d) |Hφ|2 in the xz plane.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

[Ei,x(r,φ,0)Ei,y(r,φ,0)]=t(r)g(r)[cosφsinφ],
t(r)={0,r2m<rr2m+11,r2m+1<rr2m+2,
g(r)=exp(β02r2a2)J1(2β0ra),
{Er(r,z)=0A(l)exp[j2πq(l)z]J1(2πlr)2πldlEφ(r,z)=0Ez(r,z)=j0lq(l)A(l)exp[j2πq(l)z]J0(2πlr)2πldl,
A(l)=0t(r)g(r)J1(2πlr)2πrdr,

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