Asian Journal of Physics Vol. 30 Nos 8 & 9 (2021) 1295-1305

Design considerations for multimodal optical vortex beams

J Jahns and S Supp


Abstract

Design considerations for complex vortex beams are presented. After reviewing the basics of optical vortices, conditions for the generation of orbital angular momentum are derived and special cases considered, particularly for complex fields. These include both, co-axial and laterally shifted multiple vortices. Design parameters are identified and examples are presented. Finally, potential applications of complex vortex beams are addressed. © Anita Publications. All rights reserved
Keywords: Optical vortex, Orbital angular momentum, Diffractive optics, Optical design.


Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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References

    1. Dyson J, Circular and spiral diffraction gratings, Proc R Soc Lond Ser. A Math Phys Eng Sci, 248(1958) 93–106.
    2. Lohmann A W, Ojeda-Castañeda J, Streibl N, Spatial periodicities in coherent and partially coherent fields, Opt Acta, 30(1983)1259–1266.
    3. Khonina S N, Kotlyar V V, Shinkaryev M V, Soifer V A, Uspleniev G V, The phase rotor, J Mod Opt, 39(1992) 1147–1154.
    4. Indebetouw G, Optical vortices and their propagation, J Mod Opt, 40(1993)73–87.
    5. Courtial J, Robertson D A, Dholakia K, Allen L, Padgett M J, Phys Rev Lett, 81(1998)4828–4830.
    6. Oron R, Davidson N, Friesem A A, Hasman E, Efficient formation of pure helical beams, Opt Comm, 182 (2000)205–208.
    7. Grier D G, A revolution in optical manipulation, Nature, 424(2003)810–816.
    8. Foo G, Palacios D M, Swartzlander G A, Optical vortex coronagraph, Opt Lett, 30(2005)3308–3310.
    9. Willner A E, Huang H, Yan Y, Ren Y, Ahmed N, Xie G, Bao C, Li L, Cao Y, Zhao Z, Wang J, Lavery M P J, Tur M, Ramachandran S, Molisch A F, Ashrafi N, Ashrafi S, Optical communications using orbital angular momentum beams, Adv Opt Photon, 7(2015)66–106.
    10. Gómez-Sarabia C M, Ledesma-Carrillo L M, Ojeda-Castañeda J, Helical phase masks for controlling optical vortices: necessary and sufficient conditions, Opt Commun, 470(2020)126047; doi. org/10.1016/j.optcom.2020.126047.
    11. Beijersbergen M W, Coerwinkel R P C, Kristensen M, Woerdman J P, Helical wavefront laser beams produced with a spiral phase plate, Opt Commun, 112(1994)321–327.
    12. Jahns J, Continuous and discrete diffractive elements with polar symmetries, Appl Opt; 56(2017)A1-A7.
    13. Ebrahimi H, Sabatyan A, Multi-region spiral photon sieve to produce tailorable multiple vortex, Opt Laser Technol, 126(2020)106137; doi. org/10.1016/j.optlastec.2020.106137.
    14. Ostrovsky A S, Rickenstorff-Parrao C, Arrizón V, Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator, Opt Lett, 38(2013)534–536.
    15. McCutchen C W, Generalized aperture and the three-dimensional diffraction image, J Opt Soc Am, 54 (1964)240–244.
    16. Supp S, Jahns J, Coaxial superposition of Bessel beams by discretized spiral axicons, J Eur Opt Soc – Rapid Publ, 14:18(2018); doi.org/10.1186/s41476-018-0086-8,
    17. Berry M V, Optical vortices evolving from helicoidal integer and fractional phase steps, J Opt A Pure Appl Opt, 6(2004)259–268.
    18. Orlov S, Regelskis K, Smilgevicius V, Stabinis A, Propagation of Bessel beams carrying optical vortices, Opt Comm, 209(2002)155–165.
    19. Ando T, Matsumoto N, Ohtake Y, Takiguchi Y, Inoue T, Structure of optical singularities in coaxial superpositions of Laguerre–Gaussian modes, J Opt Soc Am A, 27(2010)2602–2612.
    20. Tervo J, Turunen J, Rotating scale-invariant electromagnetic fields, Opt Express, 9(2001)9–15.
    21. Schulze C, Roux F S, Dudley A, Rop R, Duparré M, Forbes A, Accelerated rotation with orbital angular momentum modes, Phys Rev A, 91(2015)043821; 10.1103/PhysRevA.91.043821. : [email protected]
    22. Gao C, Qi X, Liu Y, Weber H, Superposition of helical beams by using a Michelson interferometer, Opt Express, 18(2010)72–78.
    23. Grunwald R, Griebner U, Tschirschwitz F, Nibbering E T J, Elsaesser T, Kebbel V, Hartmann H.-J, Jüptner W, Generation of femtosecond Bessel beams with microaxicon arrays, Opt Lett, 25(2000)981–983.
    24. Liebmann M, Treffer A, Bock M, Seiler T, Jahns J, Elsaesser T, Grunwald R, Self-imaging of tailored vortex pulse arrays and spectral Gouy rotation echoes, Opt Lett, 44 (2019)1047–1050.
    25. Jahns J, Supp S, Seiler T, Multiple optical vortex beams, In: EOS Top Meet Diffr Opt, Joensuu, Finland (2017).
    26. Molina-Terriza G, Recolons J, Torner L, The curious arithmetic of optical vortices, Opt Lett, 25(2000)1135–1137.
    27. Yao A M, Padgett M J, Orbital angular momentum: origins, behavior and applications, Adv Opt Phot, 3 (2011)161–204.
    28. Sheppard C J R, Mehta S, Three-level filter for increased depth of focus and Bessel beam generation, Opt Express, 20(2014)27212–27221.
    29. Dholakia K, B. W. Drinkwater, M. Ritsch-Marte, Comparing acoustic and optical forces for biomedical research, Nat Rev Phys, 2(2020)480–491.
    30. Biener G, Niv A, Kleiner V, E. Hasman, Formation of helical beams by use of Pancharatnam-Berry phase optical elements, Opt Lett, 27(2002)1875–1877.
    31. Ma X, Pu M, Li X, Huang C, Wang Y, Pan W, Zhao B, Cui J, Wang C, Zhao Z, Luo X, A planar chiral meta-surface for optical vortex generation and focusing, Sci Rep, 5(2015)10365; doi.org/10.1038/srep10365.32.
    32. Fainman Y, Nanostructured elements in active and passive optical technologies. In: OSA Optical Design and Fabrication, OSA Technical Digest (2021).