Abstract

Utilizing multiplexed volume holography, a single optical element, enabling to shape structural variants of non-diffracting Airy wavefronts, from one-dimensional Airy mode to unconventional Airy modes such as vortex Airy and quad Airy modes, has been experimentally realized. Here, beam shaped angularly multiplexed volume holographic gratings (AMVHGs) are recorded in PQ: PMMA photopolymer, where five different spatial wavefronts of Airy beams have been sequentially recorded, for simultaneous reconstruction of different Airy modes, by a conventional Gaussian beam. Spatial and spectral mode selective properties of AMVHGs are demonstrated by narrow-band as well as by broadband light source. In addition, through wavelength degeneracy property, the maximum sensitivity wavelength of blue (488 nm) is used for recording in PQ: PMMA, but the AMVHGs are operated at a broad wavelength band of interest, all the way to longer wavelength in near infrared (850 nm). The K-sphere representation is used to explain the spectral properties of AMVHGs.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2017 (2)

2016 (1)

2015 (2)

Z. Lin, Z. Guo, J. Tu, J. Wu, and D. Zhang, “Acoustic non-diffracting airy beam,” J. Appl. Phys. 117(10), 104503 (2015).
[Crossref]

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

2014 (4)

2013 (6)

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-airy beams transforming into non-linear intense light bullets,” Nat. Commun. 4(1), 2622 (2013).
[Crossref] [PubMed]

S. Ngcobo, I. Litvin, L. Burger, and A. Forbes, “A digital laser for on-demand laser modes,” Nat. Commun. 4(1), 2289 (2013).
[Crossref] [PubMed]

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

2011 (6)

Y. Luo, I. K. Zervantonakis, S. Oh, R. D. Kamm, and G. Barbastathis, “Spectrally resolved multidepth fluorescence imaging,” J. Biomed. Opt. 16(9), 096015 (2011).

E. Greenfield, M. Segev, W. Walasik, and O. Raz, “Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett. 106(21), 213902 (2011).
[Crossref] [PubMed]

Y. Luo, I. K. Zervantonakis, S. Oh, R. D. Kamm, and G. Barbastathis, “Spectrally resolved multidepth fluorescence imaging,” J. Biomed. Opt. 16(9), 096015 (2011).

Z. Zheng, B. F. Zhang, H. Chen, J. Ding, and H. T. Wang, “Optical trapping with focused Airy beams,” Appl. Opt. 50(1), 43–49 (2011).
[Crossref] [PubMed]

J. M. Castro, P. J. Gelsinger-Austin, J. K. Barton, and R. K. Kostuk, “Confocal-rainbow volume holographic imaging system,” Appl. Opt. 50(10), 1382–1388 (2011).
[Crossref] [PubMed]

G. Porat, I. Dolev, O. Barlev, and A. Arie, “Airy beam laser,” Opt. Lett. 36(20), 4119–4121 (2011).
[Crossref] [PubMed]

2010 (4)

2009 (5)

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

C. Moser and F. Havermeyer, “Ultra-narrow-band tunable laser line notch filter,” Appl. Phys. B 95(3), 597–601 (2009).
[Crossref]

T. Ando, Y. Ohtake, N. Matsumoto, T. Inoue, and N. Fukuchi, “Mode purities of Laguerre-Gaussian beams generated via complex-amplitude modulation using phase-only spatial light modulators,” Opt. Lett. 34(1), 34–36 (2009).
[Crossref] [PubMed]

J. E. Morris, M. Mazilu, J. Baumgartl, T. Cizmár, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength,” Opt. Express 17(15), 13236–13245 (2009).
[Crossref] [PubMed]

2008 (2)

2007 (2)

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

G. J. Steckman, W. Liu, R. Platz, D. Schroeder, C. Moser, and F. Havermeyer, “Volume holographic grating wavelength stabilized laser diodes,” IEEE J. Sel. Top. Quantum Electron. 13(3), 672–678 (2007).
[Crossref]

2006 (1)

N. Ebizuka, K. Oka, A. Yamada, M. Kashiwagi, K. Kodate, K. S. Kawabata, M. Uehara, C. Nagashima, K. Ichiyama, T. Ishikawa, T. Shimizu, S. Morita, Y. Yamagata, H. Omori, Y. Tokoro, Y. Hirahara, S. Sato, and M. Iye, “Novel immersion grating, VPH grating and quasi-Bragg grating,” Proc. SPIE 6273, 62732G (2006).

2004 (2)

1999 (1)

1979 (1)

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Ando, T.

Arie, A.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

G. Porat, I. Dolev, O. Barlev, and A. Arie, “Airy beam laser,” Opt. Lett. 36(20), 4119–4121 (2011).
[Crossref] [PubMed]

Balazs, N. L.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Ban, V. S.

Barbastathis, G.

Barlev, O.

Barton, J. K.

Barwick, S.

Baumgartl, J.

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

J. E. Morris, M. Mazilu, J. Baumgartl, T. Cizmár, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength,” Opt. Express 17(15), 13236–13245 (2009).
[Crossref] [PubMed]

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Belic, M. R.

Berry, M. V.

M. V. Berry and N. L. Balazs, “Nonspreading wave packets,” Am. J. Phys. 47(3), 264–267 (1979).
[Crossref]

Boguslawski, M.

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Brasselet, E.

Broky, J.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Burger, L.

S. Ngcobo, I. Litvin, L. Burger, and A. Forbes, “A digital laser for on-demand laser modes,” Nat. Commun. 4(1), 2289 (2013).
[Crossref] [PubMed]

Castro, J. M.

Chen, C.

Chen, H.

Choi, D.

Christodoulides, D. N.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Chumak, A. V.

T. Schneider, A. A. Serga, A. V. Chumak, C. W. Sandweg, S. Trudel, S. Wolff, M. P. Kostylev, V. S. Tiberkevich, A. N. Slavin, and B. Hillebrands, “Nondiffractive subwavelength wave beams in a medium with Externally Controlled Anisotropy,” Phys. Rev. Lett. 104(19), 197203 (2010).
[Crossref] [PubMed]

Cizmár, T.

Cižmár, T.

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

Coll-Lladó, C.

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

Couairon, A.

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-airy beams transforming into non-linear intense light bullets,” Nat. Commun. 4(1), 2622 (2013).
[Crossref] [PubMed]

Dalgarno, H. I. C.

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

Denz, C.

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Dholakia, K.

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

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

J. E. Morris, M. Mazilu, J. Baumgartl, T. Cizmár, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength,” Opt. Express 17(15), 13236–13245 (2009).
[Crossref] [PubMed]

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Diebel, F.

P. Rose, F. Diebel, M. Boguslawski, and C. Denz, “Airy beam induced optical routing,” Appl. Phys. Lett. 102(10), 101101 (2013).
[Crossref]

Ding, J.

Dogariu, A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Dolev, I.

Dolgy, S. V.

Downs, E.

Ebizuka, N.

N. Ebizuka, K. Oka, A. Yamada, M. Kashiwagi, K. Kodate, K. S. Kawabata, M. Uehara, C. Nagashima, K. Ichiyama, T. Ishikawa, T. Shimizu, S. Morita, Y. Yamagata, H. Omori, Y. Tokoro, Y. Hirahara, S. Sato, and M. Iye, “Novel immersion grating, VPH grating and quasi-Bragg grating,” Proc. SPIE 6273, 62732G (2006).

Efimov, O. M.

Efremidis, N. K.

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

Fajardo, V. R.

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

Ferrier, D. E. K.

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

Forbes, A.

S. Ngcobo, I. Litvin, L. Burger, and A. Forbes, “A digital laser for on-demand laser modes,” Nat. Commun. 4(1), 2289 (2013).
[Crossref] [PubMed]

Fukuchi, N.

Garcia, R. R.

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

Gelsinger, P. J.

Gelsinger-Austin, P. J.

Glebov, L. B.

Glebova, L. N.

Gover, A.

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Greenfield, E.

E. Greenfield, M. Segev, W. Walasik, and O. Raz, “Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett. 106(21), 213902 (2011).
[Crossref] [PubMed]

Gunn-Moore, F. J.

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

Guo, Z.

Z. Lin, Z. Guo, J. Tu, J. Wu, and D. Zhang, “Acoustic non-diffracting airy beam,” J. Appl. Phys. 117(10), 104503 (2015).
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G. J. Steckman, W. Liu, R. Platz, D. Schroeder, C. Moser, and F. Havermeyer, “Volume holographic grating wavelength stabilized laser diodes,” IEEE J. Sel. Top. Quantum Electron. 13(3), 672–678 (2007).
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P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
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Y. Luo, I. K. Zervantonakis, S. Oh, R. D. Kamm, and G. Barbastathis, “Spectrally resolved multidepth fluorescence imaging,” J. Biomed. Opt. 16(9), 096015 (2011).

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G. J. Steckman, W. Liu, R. Platz, D. Schroeder, C. Moser, and F. Havermeyer, “Volume holographic grating wavelength stabilized laser diodes,” IEEE J. Sel. Top. Quantum Electron. 13(3), 672–678 (2007).
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Z. Lin, Z. Guo, J. Tu, J. Wu, and D. Zhang, “Acoustic non-diffracting airy beam,” J. Appl. Phys. 117(10), 104503 (2015).
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J. Biomed. Opt. (2)

Y. Luo, I. K. Zervantonakis, S. Oh, R. D. Kamm, and G. Barbastathis, “Spectrally resolved multidepth fluorescence imaging,” J. Biomed. Opt. 16(9), 096015 (2011).

Y. Luo, I. K. Zervantonakis, S. Oh, R. D. Kamm, and G. Barbastathis, “Spectrally resolved multidepth fluorescence imaging,” J. Biomed. Opt. 16(9), 096015 (2011).

J. Opt. (1)

C. R. Guzman, M. Mazilu, J. Baumgartl, V. R. Fajardo, R. R. Garcia, and K. Dholakia, “Collison of propagating vortices embedded with Airy beams,” J. Opt. 15(4), 044001 (2013).
[Crossref]

Nat. Commun. (2)

P. Panagiotopoulos, D. G. Papazoglou, A. Couairon, and S. Tzortzakis, “Sharply autofocused ring-airy beams transforming into non-linear intense light bullets,” Nat. Commun. 4(1), 2622 (2013).
[Crossref] [PubMed]

S. Ngcobo, I. Litvin, L. Burger, and A. Forbes, “A digital laser for on-demand laser modes,” Nat. Commun. 4(1), 2289 (2013).
[Crossref] [PubMed]

Nat. Methods (1)

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

Nat. Photonics (1)

J. Baumgartl, M. Mazilu, and K. Dholakia, “Optically mediated particle clearing using Airy wavepackets,” Nat. Photonics 2(11), 675–678 (2008).
[Crossref]

Nature (1)

N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, “Generation of electron Airy beams,” Nature 494(7437), 331–335 (2013).
[Crossref] [PubMed]

Opt. Express (6)

Opt. Lett. (8)

B. L. Volodin, S. V. Dolgy, E. D. Melnik, E. Downs, J. Shaw, and V. S. Ban, “Wavelength stabilization and spectrum narrowing of high-power multimode laser diodes and arrays by use of volume Bragg gratings,” Opt. Lett. 29(16), 1891–1893 (2004).
[Crossref] [PubMed]

T. Ando, Y. Ohtake, N. Matsumoto, T. Inoue, and N. Fukuchi, “Mode purities of Laguerre-Gaussian beams generated via complex-amplitude modulation using phase-only spatial light modulators,” Opt. Lett. 34(1), 34–36 (2009).
[Crossref] [PubMed]

P. Vaveliuk, A. Lencina, J. A. Rodrigo, and O. Martinez Matos, “Symmetric airy beams,” Opt. Lett. 39(8), 2370–2373 (2014).
[Crossref] [PubMed]

S. Barwick, “Accelerating regular polygon beams,” Opt. Lett. 35(24), 4118–4120 (2010).
[Crossref] [PubMed]

Y. Luo, P. J. Gelsinger, J. K. Barton, G. Barbastathis, and R. K. Kostuk, “Optimization of multiplexed holographic gratings in PQ-PMMA for spectral-spatial imaging filters,” Opt. Lett. 33(6), 566–568 (2008).
[Crossref] [PubMed]

Y. Luo, J. M. Russo, R. K. Kostuk, and G. Barbastathis, “Silicon oxide nanoparticles doped PQ-PMMA for volume holographic imaging filters,” Opt. Lett. 35(8), 1269–1271 (2010).
[Crossref] [PubMed]

S. Vyas, Y. Kozawa, and S. Sato, “Generation of radially polarized Bessel-Gaussian beams from c-cut Nd:YVO4 laser,” Opt. Lett. 39(4), 1101–1104 (2014).
[Crossref] [PubMed]

G. Porat, I. Dolev, O. Barlev, and A. Arie, “Airy beam laser,” Opt. Lett. 36(20), 4119–4121 (2011).
[Crossref] [PubMed]

Phys. Rev. A (1)

N. K. Efremidis, V. Paltoglou, and W. von Klitzing, “Accelerating and abruptly autofocusing matter waves,” Phys. Rev. A 87(4), 043637 (2013).
[Crossref]

Phys. Rev. Lett. (4)

T. Schneider, A. A. Serga, A. V. Chumak, C. W. Sandweg, S. Trudel, S. Wolff, M. P. Kostylev, V. S. Tiberkevich, A. N. Slavin, and B. Hillebrands, “Nondiffractive subwavelength wave beams in a medium with Externally Controlled Anisotropy,” Phys. Rev. Lett. 104(19), 197203 (2010).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, and J. Moloney, “Filamentation of femtosecond laser airy beams in water,” Phys. Rev. Lett. 103(12), 123902 (2009).
[Crossref] [PubMed]

E. Greenfield, M. Segev, W. Walasik, and O. Raz, “Accelerating light beams along arbitrary convex trajectories,” Phys. Rev. Lett. 106(21), 213902 (2011).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99(21), 213901 (2007).
[Crossref] [PubMed]

Proc. SPIE (1)

N. Ebizuka, K. Oka, A. Yamada, M. Kashiwagi, K. Kodate, K. S. Kawabata, M. Uehara, C. Nagashima, K. Ichiyama, T. Ishikawa, T. Shimizu, S. Morita, Y. Yamagata, H. Omori, Y. Tokoro, Y. Hirahara, S. Sato, and M. Iye, “Novel immersion grating, VPH grating and quasi-Bragg grating,” Proc. SPIE 6273, 62732G (2006).

Sci. Rep. (1)

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “Spatiotemporal dynamics of counterpropagating Airy beams,” Sci. Rep. 5(1), 13463 (2015).
[Crossref] [PubMed]

Science (1)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved plasma channel generation using ultraintense Airy beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

Other (5)

L. Andrews, Structured Light and its Applications: Introduction to Phase-Structured Beams and Nanoscale Optical Forces (Academic, 2011).

H. Coufal, D. Psaltis, and G. T. Sincerbox, Holographic Data Storage (Springer-Verlag 2000).

T. Sabel and M. C. Lensen, Volume Holography: Novel Materials, Method and Applications (Intech., 2017).

P. Gunter and J.-P. Huignard, Photorefractive Materials and their Applications (Springer-Verlag 2007).

M. Padgett, L. Allen, and S. M. Barnett, Optical Angular Momentum (Bristol, Institute of Physics Publ. 2003).

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Figures (9)

Fig. 1
Fig. 1 Simulated intensity distribution for different Airy beams, one dimensional Airy, Airy beam, Vortex Airy beam, Dual Airy beam, and Quad Airy beam.
Fig. 2
Fig. 2 (a) Schematic diagram of experimental setup for recording AMVHGs in a photopolymer. BS-Beam splitter, M1-M2: mirrors, Fourier Transforming lens (FT): lens, LCSLM: Liquid crystal spatial light modulator, Relay lens, Rotation stage, Beam expander. (b) Airy beam obtained from SLM for recording, (c) Beam reconstructed from the volume hologram using Gaussian reference beam.
Fig. 3
Fig. 3 Experimental results of diffraction beam fan-out from AMVHGs using Gaussian beam (a) Experimentally obtained through a volume hologram with AMVHGs. (b) Family of Airy modes.
Fig. 4
Fig. 4 Experimentally obtained intensity distribution of different Airy beams by reconstruction of AMVHGs by incident Gaussian beam of different wavelengths (a) Ar + ion laser (blue, λ = 450 nm), (b) Ar + ion laser (green, λ = 515 nm), He-Ne laser (red, λ = 633 nm).
Fig. 5
Fig. 5 Intensity profile of one dimensional Airy beams obtained from AMVHGs using a Gaussian beam with longer wavelengths, obtained from pulsed laser operating in infrared region, (a) λ = 690 nm, (b) λ = 780 nm, (c) λ = 850 nm.
Fig. 6
Fig. 6 Spectral distribution of light (a) white light LED source, (b) Blue, Green and Red spectral components filtered from AMVHGs using a converging white light obtained from LED sources. Spectrograph is recorded with a spectrometer (Ocean Optics Inc.).
Fig. 7
Fig. 7 White-light beam shaping and spectral properties of AMVHGs. (a) Experimental setup for wide angle illumination to obtain white-light beam shapes, (b) intensity distribution of white-light one-dimensional Airy beam, (c) spectral components of white-light LED source using single silt diffraction using a converging white light source. Spectral components of white-light one-dimensional Airy beam (d) red spectral component, (e) green spectral component, and (f) blue spectral component. Focal length of focusing and imaging lens is f = 50mm.
Fig. 8
Fig. 8 Experimental and theoretical angular selectivity curves for AMVHGs. Reconstruction of one dimensional Airy beam was done using a Gaussian beam obtained from Ar+ laser (λ = 488nm). The FWHM of angular selectivity curve for hologram is, ∆Ѳ~0.04°.
Fig. 9
Fig. 9 Schematic diagram of K-sphere for three different wavelengths. Ki: wave vector of illumination beam, Kd: wave vector for diffracted beam, Kg: resultant grating vector,  | k i |=2π/ λ i ,i: red, green, blue.

Equations (7)

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i dϕ dξ + 1 2 2 ϕ s 2 =0
ϕ( s,ξ )=Ai[ s ( ξ/2 ) 2 +iaξ ]exp( as( a ξ 2 /2 )i( ξ 3 /12 )+i( a 2 ξ/2 )+i( sξ/2 ) )
Φ( k )=exp( a k 2 )exp[ i 3 ( k 3 3 a 2 ki a 3 ) ]
ϕ( s )=Ai( s )exp( as ).
ϕ( s x , s y ,x,y )=Ai( s x )Ai( s y )exp[ a( s x + s y ) ]× [ ( x x d )+i( y y d ) ] l
ϕ( s xn , s yn )= n=1 2 Ai( s xn )exp( a s xn )Ai( s yn )exp( a s yn )
φ( x 0 , y 0 )=( 4w/3 )( | x 0 | 3/2 + | y 0 | 3/2 )

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