Abstract

As the most important class of self-imaging beams, Bessel Beams (BBs) have been extensively studied, and various applications in optical trapping, communication, imaging and quantum studies have been found. In this paper, we propose a new method to generate arbitrary (quasi-) BB arrays by using a single LED light source. The method is simpler, cheaper, and more compatible than other existing methods. The key idea of the proposed method is to form spatially controllable incoherent point sources used to generate BB array imaging. Detailed theoretical deduction, analysis of properties of the generated BB array and comparison with those generated by coherent light sources are depicted. Further application to confocal imaging shows that the BB array is promising for fast, super depth-of-field imaging and multi-particle optical manipulations.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2019 (1)

2018 (5)

P. Pradhan, M. Sharma, and B. Ung, “Generation of perfect cylindrical vector beams with complete control over the ring width and ring diameter,” IEEE Photonics J. 10(1), 1–10 (2018).
[Crossref]

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Y. S. Liang, M. Lei, S. H. Yan, M. M. Li, Y. A. Cai, Z. J. Wang, X. H. Yu, and B. L. Yao, “Rotating of low-refractive-index microparticles with a quasi-perfect optical vortex,” Appl. Opt. 57(1), 79 (2018).
[Crossref]

C. H. Liang, X. L. Zhu, C. K. Mi, X. F. Peng, F. Wang, Y. J. Cai, and S. Ponomarenko, “High-quality partially coherent Bessel beam array generation,” Opt. Lett. 43(13), 3188–3191 (2018).
[Crossref]

2017 (2)

Y. B. Deng and D. P. Chu, “Coherence properties of different light sources and their effect on the image sharpness and speckle of holographic displays,” Sci. Rep. 7(1), 5893 (2017).
[Crossref]

A. S. Ostrovsky, J. García-García, R. P. Carolina, and M. A. Olvera-Santamaría, “Partially coherent diffraction-free vortex beams with a Bessel-mode structure,” Opt. Lett. 42(24), 5182–5185 (2017).
[Crossref]

2015 (2)

2014 (2)

L. Li, W. M. Lee, X. S. Xie, W. Krolikowski, A. V. Rode, and J. Y. Zhou, “Shaping self-imaging bottle beams with modified quasi-Bessel beams,” Opt. Lett. 39(8), 2278–2281 (2014).
[Crossref]

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

2013 (1)

G. S. Liu, C. H. Yang, and J. G. Wu, “Characterization of Talbot pattern illumination for scanning optical microscopy,” Opt. Eng. 52(9), 091714 (2013).
[Crossref]

2012 (1)

F. O. Fahrbach and A. Rohrbach, “Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media,” Nat. Commun. 3(1), 632 (2012).
[Crossref]

2010 (2)

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
[Crossref]

F. O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics 4(11), 780–785 (2010).
[Crossref]

2009 (1)

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

2008 (1)

2007 (1)

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
[Crossref]

2006 (2)

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

J. Courtial, G. Whyte, Z. Bouchal, and J. Wagner, “Iterative algorithms for holographic shaping of non-diffracting and self-imaging light beams,” Opt. Express 14(6), 2108–2116 (2006).
[Crossref]

2004 (3)

2003 (1)

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

2002 (4)

Z. Bouchal, “Controlled spatial shaping of non-diffracting patterns and arrays,” Opt. Lett. 27(16), 1376–1378 (2002).
[Crossref]

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[Crossref]

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

2001 (1)

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

2000 (1)

1999 (2)

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A: At., Mol., Opt. Phys. 59(3), R1750–R1753 (1999).
[Crossref]

C. A. McQueen, J. Arlt, and K. Dholakia, “An experiment to study a “non-diffracting” light beam,” Am. J. Phys. 67(10), 912–915 (1999).
[Crossref]

1998 (1)

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted non-diffracting beam,” Opt. Commun. 151(4-6), 207–211 (1998).
[Crossref]

1989 (1)

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref]

1836 (1)

H. F. Talbot, “Facts relating to optical science,” Philos. Mag. 9(56), 401–407 (1836).

Ahluwalia, B. P. S.

Ang, N. S. S.

J. H. Teng, N. S. S. Ang, S. J. Chua, and W. Liu, “Broad area side emission LED for high power application,” in Tenth International Conference on Solid State Lighting. International Society for Optics and Photonics (2010).

Arlt, J.

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

J. Arlt and M. J. Padgett, “Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam,” Opt. Lett. 25(4), 191–193 (2000).
[Crossref]

C. A. McQueen, J. Arlt, and K. Dholakia, “An experiment to study a “non-diffracting” light beam,” Am. J. Phys. 67(10), 912–915 (1999).
[Crossref]

Bouchal, Z.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

J. Courtial, G. Whyte, Z. Bouchal, and J. Wagner, “Iterative algorithms for holographic shaping of non-diffracting and self-imaging light beams,” Opt. Express 14(6), 2108–2116 (2006).
[Crossref]

Z. Bouchal, “Controlled spatial shaping of non-diffracting patterns and arrays,” Opt. Lett. 27(16), 1376–1378 (2002).
[Crossref]

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted non-diffracting beam,” Opt. Commun. 151(4-6), 207–211 (1998).
[Crossref]

Broky, J.

Bu, J.

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
[Crossref]

C ižmár, T.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Cai, Y. A.

Cai, Y. J.

Carolina, R. P.

Cerrina, F.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

Chang, C.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Chang, C. L.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Chavez-Cerda, S.

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

Cheng, Y. C.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

Chlup, M.

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted non-diffracting beam,” Opt. Commun. 151(4-6), 207–211 (1998).
[Crossref]

Christodoulides, D. N.

Chu, D. P.

Y. B. Deng and D. P. Chu, “Coherence properties of different light sources and their effect on the image sharpness and speckle of holographic displays,” Sci. Rep. 7(1), 5893 (2017).
[Crossref]

Chua, S. J.

J. H. Teng, N. S. S. Ang, S. J. Chua, and W. Liu, “Broad area side emission LED for high power application,” in Tenth International Conference on Solid State Lighting. International Society for Optics and Photonics (2010).

Cižmár, T.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

Coll-Lladó, C.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Coppola, G.

Courtial, J.

Dalgarno, H. I. C.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Davidson, N.

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A: At., Mol., Opt. Phys. 59(3), R1750–R1753 (1999).
[Crossref]

Deng, Y. B.

Y. B. Deng and D. P. Chu, “Coherence properties of different light sources and their effect on the image sharpness and speckle of holographic displays,” Sci. Rep. 7(1), 5893 (2017).
[Crossref]

Dholakia, K.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[Crossref]

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

C. A. McQueen, J. Arlt, and K. Dholakia, “An experiment to study a “non-diffracting” light beam,” Am. J. Phys. 67(10), 912–915 (1999).
[Crossref]

Ding, J. P.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Dogariu, A.

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref]

Fahrbach, F. O.

F. O. Fahrbach and A. Rohrbach, “Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media,” Nat. Commun. 3(1), 632 (2012).
[Crossref]

F. O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics 4(11), 780–785 (2010).
[Crossref]

Feng, S.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Feng, S. T.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Ferraro, P.

Ferrier, D. E. K.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Finizio, A.

Friberg, A. T.

Garces-Chavez, V.

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[Crossref]

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

García-García, J.

Garliauskas, M.

Gedvilas, M.

Grilli, S.

Gunn-Moore, F. J.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Harasse, S.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
[Crossref]

He, M. R.

Isoyan, A.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
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Jiang, F.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
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Khaykovich, L.

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A: At., Mol., Opt. Phys. 59(3), R1750–R1753 (1999).
[Crossref]

Kollárová, V.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

Krolikowski, W.

Lee, W. M.

Lei, M.

Li, D.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Li, L.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

L. Li, W. M. Lee, X. S. Xie, W. Krolikowski, A. V. Rode, and J. Y. Zhou, “Shaping self-imaging bottle beams with modified quasi-Bessel beams,” Opt. Lett. 39(8), 2278–2281 (2014).
[Crossref]

Li, M. M.

Liang, C. H.

Liang, Y. S.

Liu, G. S.

G. S. Liu, C. H. Yang, and J. G. Wu, “Characterization of Talbot pattern illumination for scanning optical microscopy,” Opt. Eng. 52(9), 091714 (2013).
[Crossref]

Liu, W.

J. H. Teng, N. S. S. Ang, S. J. Chua, and W. Liu, “Broad area side emission LED for high power application,” in Tenth International Conference on Solid State Lighting. International Society for Optics and Photonics (2010).

Ma, J.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Marconi, M.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

McGloin, D.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[Crossref]

McQueen, C. A.

C. A. McQueen, J. Arlt, and K. Dholakia, “An experiment to study a “non-diffracting” light beam,” Am. J. Phys. 67(10), 912–915 (1999).
[Crossref]

Melville, H.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[Crossref]

Menoni, C.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

Mi, C. K.

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref]

Momose, A.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
[Crossref]

Nicola, S. D.

Nie, S.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Nie, S. P.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Nylk, J.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Olvera-Santamaría, M. A.

Ong, L. S.

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
[Crossref]

Ostrovsky, A. S.

Ozeri, R.

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A: At., Mol., Opt. Phys. 59(3), R1750–R1753 (1999).
[Crossref]

Padgett, M. J.

Peng, X. F.

Pierattini, G.

Ponomarenko, S.

Pradhan, P.

P. Pradhan, M. Sharma, and B. Ung, “Generation of perfect cylindrical vector beams with complete control over the ring width and ring diameter,” IEEE Photonics J. 10(1), 1–10 (2018).
[Crossref]

Raciukaitis, G.

Ren, Z. C.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Rocca, J.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
[Crossref]

Rode, A. V.

Rohrbach, A.

F. O. Fahrbach and A. Rohrbach, “Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media,” Nat. Commun. 3(1), 632 (2012).
[Crossref]

F. O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics 4(11), 780–785 (2010).
[Crossref]

Rusch, L.

Sharma, M.

P. Pradhan, M. Sharma, and B. Ung, “Generation of perfect cylindrical vector beams with complete control over the ring width and ring diameter,” IEEE Photonics J. 10(1), 1–10 (2018).
[Crossref]

Sibbett, W.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

Simon, P.

F. O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics 4(11), 780–785 (2010).
[Crossref]

Siviloglou, G. A.

Spalding, G. C.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
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Stankevicius, E.

Sun, Y. Y.

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
[Crossref]

Suzuki, Y.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
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Takeuchi, A.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
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Talbot, H. F.

H. F. Talbot, “Facts relating to optical science,” Philos. Mag. 9(56), 401–407 (1836).

Tao, S. H.

Teng, J. H.

J. H. Teng, N. S. S. Ang, S. J. Chua, and W. Liu, “Broad area side emission LED for high power application,” in Tenth International Conference on Solid State Lighting. International Society for Optics and Photonics (2010).

Turunen, J.

Ung, B.

P. Pradhan, M. Sharma, and B. Ung, “Generation of perfect cylindrical vector beams with complete control over the ring width and ring diameter,” IEEE Photonics J. 10(1), 1–10 (2018).
[Crossref]

Urbanski, L.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
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Vaity, P.

Vasara, A.

Vettenburg, T.

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
[Crossref]

Volke-Sepulveda, K.

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
[Crossref]

Wachulak, P.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
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J. Courtial, G. Whyte, Z. Bouchal, and J. Wagner, “Iterative algorithms for holographic shaping of non-diffracting and self-imaging light beams,” Opt. Express 14(6), 2108–2116 (2006).
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Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted non-diffracting beam,” Opt. Commun. 151(4-6), 207–211 (1998).
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Wang, F.

Wang, H. T.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
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Wang, Z. J.

Whyte, G.

Wu, J. G.

G. S. Liu, C. H. Yang, and J. G. Wu, “Characterization of Talbot pattern illumination for scanning optical microscopy,” Opt. Eng. 52(9), 091714 (2013).
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Xie, X. S.

Yan, S. H.

Yang, C. H.

G. S. Liu, C. H. Yang, and J. G. Wu, “Characterization of Talbot pattern illumination for scanning optical microscopy,” Opt. Eng. 52(9), 091714 (2013).
[Crossref]

Yao, B. L.

Yashiro, W.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
[Crossref]

Yu, X. H.

Yuan, C.

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Yuan, C. J.

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Yuan, X. C.

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
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B. P. S. Ahluwalia, X. C. Yuan, and S. H. Tao, “Transfer of ‘pure’ on-axis spin angular momentum to the absorptive particle using self-imaged bottle beam optical tweezers system,” Opt. Express 12(21), 5172–5177, (2004).
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B. P. S. Ahluwalia, X. C. Yuan, and S. H. Tao, “Generation of self-imaged optical bottle beams,” Opt. Commun. 238(1-3), 177–184 (2004).
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Zemánek, P.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

Zhou, J. Y.

Zhu, X. L.

Am. J. Phys. (1)

C. A. McQueen, J. Arlt, and K. Dholakia, “An experiment to study a “non-diffracting” light beam,” Am. J. Phys. 67(10), 912–915 (1999).
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Appl. Opt. (1)

Appl. Phys. Lett. (2)

D. Li, C. Chang, S. Nie, S. Feng, J. Ma, and C. Yuan, “Generation of elliptic perfect optical vortex and elliptic perfect vector beam by modulating the dynamic and geometric phase,” Appl. Phys. Lett. 113(12), 121101 (2018).
[Crossref]

Y. Y. Sun, J. Bu, L. S. Ong, and X. C. Yuan, “Simultaneous optical trapping of microparticles in multiple planes by a modified self-imaging effect on a chip,” Appl. Phys. Lett. 91(5), 051101 (2007).
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IEEE Photonics J. (1)

P. Pradhan, M. Sharma, and B. Ung, “Generation of perfect cylindrical vector beams with complete control over the ring width and ring diameter,” IEEE Photonics J. 10(1), 1–10 (2018).
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J. Opt. B: Quantum Semiclassical Opt. (1)

K. Volke-Sepulveda, V. Garces-Chavez, S. Chavez-Cerda, J. Arlt, and K. Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B: Quantum Semiclassical Opt. 4(2), S82–S89 (2002).
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J. Opt. Soc. Am. A (1)

J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. (1)

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, “Talbot lithography: Self-imaging of complex structures,” J. Vac. Sci. Technol., B: Microelectron. Nanometer Struct.--Process., Meas., Phenom. 27(6), 2931–2937 (2009).
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Nat. Commun. (1)

F. O. Fahrbach and A. Rohrbach, “Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media,” Nat. Commun. 3(1), 632 (2012).
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Nat. Methods (1)

T. Vettenburg, H. I. C. Dalgarno, J. Nylk, C. Coll-Lladó, D. E. K. Ferrier, T. Č ižmár, F. J. Gunn-Moore, and K. Dholakia, “Light-sheet microscopy using an Airy beam,” Nat. Methods 11(5), 541–544 (2014).
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Nat. Photonics (1)

F. O. Fahrbach, P. Simon, and A. Rohrbach, “Microscopy with self-reconstructing beams,” Nat. Photonics 4(11), 780–785 (2010).
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Nature (1)

V. Garces-Chavez, D. McGloin, H. Melville, and K. Dholakia, “Simultameous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
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New J. Phys. (1)

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, “Sub-micron particle organization by self-imaging of non-diffracting beams,” New J. Phys. 8(43), 1–23 (2006).

Opt. Commun. (4)

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001).
[Crossref]

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted non-diffracting beam,” Opt. Commun. 151(4-6), 207–211 (1998).
[Crossref]

B. P. S. Ahluwalia, X. C. Yuan, and S. H. Tao, “Generation of self-imaged optical bottle beams,” Opt. Commun. 238(1-3), 177–184 (2004).
[Crossref]

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, “Three-dimensional arrays of optical bottle beams,” Opt. Commun. 225(4-6), 215–222 (2003).
[Crossref]

Opt. Eng. (1)

G. S. Liu, C. H. Yang, and J. G. Wu, “Characterization of Talbot pattern illumination for scanning optical microscopy,” Opt. Eng. 52(9), 091714 (2013).
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Opt. Express (4)

Opt. Lett. (8)

S. D. Nicola, P. Ferraro, G. Coppola, A. Finizio, G. Pierattini, and S. Grilli, “Talbot self-image effect in digital holography and its application to spectrometry,” Opt. Lett. 29(1), 104–106 (2004).
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L. Li, W. M. Lee, X. S. Xie, W. Krolikowski, A. V. Rode, and J. Y. Zhou, “Shaping self-imaging bottle beams with modified quasi-Bessel beams,” Opt. Lett. 39(8), 2278–2281 (2014).
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Y. S. Liang, S. H. Yan, M. R. He, M. M. Li, Y. A. Cai, Z. J. Wang, M. Lei, and B. L. Yao, “Generation of a double-ring perfect optical vortex by the Fourier transform of azimuthally polarized Bessel beams,” Opt. Lett. 44(6), 1504–1507 (2019).
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J. Arlt and M. J. Padgett, “Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam,” Opt. Lett. 25(4), 191–193 (2000).
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Z. Bouchal, “Controlled spatial shaping of non-diffracting patterns and arrays,” Opt. Lett. 27(16), 1376–1378 (2002).
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P. Vaity and L. Rusch, “Perfect vortex beam: Fourier transformation of a Bessel beam,” Opt. Lett. 40(4), 597 (2015).
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A. S. Ostrovsky, J. García-García, R. P. Carolina, and M. A. Olvera-Santamaría, “Partially coherent diffraction-free vortex beams with a Bessel-mode structure,” Opt. Lett. 42(24), 5182–5185 (2017).
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Philos. Mag. (1)

H. F. Talbot, “Facts relating to optical science,” Philos. Mag. 9(56), 401–407 (1836).

Photonics Res. (1)

L. Li, C. L. Chang, C. J. Yuan, S. T. Feng, S. P. Nie, Z. C. Ren, H. T. Wang, and J. P. Ding, “High efficiency generation of tunable ellipse perfect vector beams,” Photonics Res. 6(12), 1116 (2018).
[Crossref]

Phys. Rev. A (1)

V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, “Transfer of orbital angular momentum to an optically trapped low-index particle,” Phys. Rev. A 66(6), 063402 (2002).
[Crossref]

Phys. Rev. A: At., Mol., Opt. Phys. (2)

R. Ozeri, L. Khaykovich, and N. Davidson, “Long spin relaxation times in a single-beam blue-detuned optical trap,” Phys. Rev. A: At., Mol., Opt. Phys. 59(3), R1750–R1753 (1999).
[Crossref]

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, “Hard-x-ray phase-imaging microscopy using the self-imaging phenomenon of a transmission grating,” Phys. Rev. A: At., Mol., Opt. Phys. 82(4), 043822 (2010).
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Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[Crossref]

Sci. Rep. (1)

Y. B. Deng and D. P. Chu, “Coherence properties of different light sources and their effect on the image sharpness and speckle of holographic displays,” Sci. Rep. 7(1), 5893 (2017).
[Crossref]

Other (1)

J. H. Teng, N. S. S. Ang, S. J. Chua, and W. Liu, “Broad area side emission LED for high power application,” in Tenth International Conference on Solid State Lighting. International Society for Optics and Photonics (2010).

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Figures (7)

Fig. 1.
Fig. 1. Schematic configuration (a) and Experimental setup based on a commercial equipment (b).
Fig. 2.
Fig. 2. Single Bessel beam generated by (a) coherence light source, (c) partial coherence light source and their corresponding cross-sections (b, d) through the intensity maximum. The main lobes are exposure saturation for a better view of the side lobes.
Fig. 3.
Fig. 3. Intensity distributions of BBA generated with coherence light source in simulation (first row) and in experiment (second row), or generated with spatial partial coherence light source (third row).
Fig. 4.
Fig. 4. Intensity distributions of arbitrary BBA generated with spatial incoherence light source in simulation (first row) and in experiment (second row).
Fig. 5.
Fig. 5. Intensity distributions of BBA along the axial position z (the unit of the inserted numbers is millimeter) (a- h) when the mask is on the optical axial, and their maximum intensities of the main lobes as a function of z (i).
Fig. 6.
Fig. 6. Intensity distributions of the BBA along the axial position z (the unit of the inserted numbers is millimeter) (a- h) when the mask is departed from the optical axial, and their maximum intensities of the main lobes as a function of z (i).
Fig. 7.
Fig. 7. Schematic of the galvanometer scanning (a) and confocal scanning imaging on different axial position z (inserted numbers) (b-e), the scanning sizes indicated below the images are calculated according to the z value.

Equations (7)

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( 2 + k 2 ) E ( r ,   t ) = 0
ρ 2 d 2 H d ρ 2 + ρ d H d ρ + [ ( k 2 k z 2 ) ρ 2 n 2 ] H = 0
[ H n ( 1 ) ( k ρ ρ ) + H n ( 2 ) ( k ρ ρ ) ] e x p ( i k z + i n ϕ ) = 2 J n ( k ρ ρ ) e x p ( i k z + i n ϕ ) .
U ( ρ , t ) = U ( ρ ) = a ( ρ ) e x p ( j φ ( ρ ) )
t ( x , y ) = t 0 ( x , y ) m = 1 M σ ( x L m x ,   y L m y )
T ( ζ , η ) = F { t 0 ( x , y ) } F { m = 1 M σ ( x L m x ,   y L m y ) } = T 0 ( ζ , η ) m = 1 M e i 2 Π ( ζ L m x + η L m y )
U 1 ( x 1 ,   y 1 ) = e i k z i λ z e i k ( x 1 2 + y 1 2 ) 2 z T ( ζ , η ) e x p ( i k β ) e i k ( x 0 2 + y 0 2 ) 2 z e i k z ( x 1 x 0 + y 1 y 0 ) d x 0 d y 0

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