Liquid crystalʼs photoalignment for formation of phase profiles via geometric phase distribution
Keywords:
phase profile, geometric phase, Pancharatnam – Berry phase, photoalignment, liquid crystals, liquid crystal photonicsAbstract
Basic understandings on the concept of geometric phase, also known as Pancharatnam – Berry phase, and its application to creation of photonic liquid crystal devices as thin-films of photoaligned nematic liquid crystals are presented. The significance of the strong azimuthal anchoring energy and the role of birefringence in liquid crystal photoalignment layer for formation of geometric phase gradients are shown. The dependence of phase retardation of circular polarised light passing through the half-wave phase plate on the azimuthal angle of the plate orientation is explained in details, as it gives ground to formation of geometric phase distribution of optical liquid crystal devices, working in circular polarised light. The effective refractive index is introduced for characterisation of the optical properties of linear periodic liquid crystal’s structure that forms profile of geometric phase surface. The successful implementations of photonic liquid crystal devices (polarisation diffraction grating, annular diffraction grating, q-plate, q-plate with a phase core) are analysed in terms of geometric phase distributions and the corresponding equations of profile of the phase surfaces that ensure functioning of the devices are presented.
References
- Zakaznov NP, Kiryushin SI, Kuzichev VI. Teoriya opticheskikh sistem [Theory of optical systems]. 3rd edition. Moscow: Mashinostroenie; 1992. 448 p. Russian.
- Chigrinov VG, Kozenkov VM, Kwok H-S. Photoalignment of liquid crystalline materials: physics and applications. Chichester: John Wiley & Sons; 2008. XV, 231 p. DOI: 10.1002/9780470751800.
- Mahilny U, Trofimova A, Stankevich A, Tolstik A, Murauski A, Muravsky A. New photocrosslinking polymeric materials for liquid crystal photoalignment. Nonlinear Phenomena in Complex Systems. 2013;16(1):79–85.
- Muravsky AA, Murauski AA, Kukhta IN, Photoinduced hole dipoles’ mechanism of liquid crystal photoalignment. Applied Optics. 2020;59(17):5102–5107. DOI: 10.1364/AO.392068.
- Barbero G, Durand G. On the validity of the Rapini – Papoular surface anchoring energy form in nematic liquid crystals. Journal de Physique. 1986;47(12):2129–2134. DOI: 10.1051/jphys:0198600470120212900.
- Faetti S. Azimuthal anchoring energy of a nematic liquid crystal at a grooved interface. Physical Review A: Covering Atomic, Molecular, and Optical Physics and Quantum Information. 1987;36(1):408. DOI: 10.1103/PhysRevA.36.408.
- Tabiryan NV, Serak SV, Nersisyan SR, Roberts DE, Zeldovich BYa, Steeves DM, et al. Broadband waveplate lenses. Optics Express. 2016;24(7):7091–7102. DOI: 10.1364/OE.24.007091.
- Muravsky AA, Murauski AA, Kukhta IN, Yakovleva AS. High anchoring photoalignment material based on new photoinduced hole dipoles’ mechanism. Journal of the Society for Information Display. 2021;29(11):833–839. DOI: 10.1002/JSID.1020.
- Chigrinov V, Muravski A, Kwok H-S, Takada H, Akiyama H, Takatsu H. Anchoring properties of photoaligned azo-dye materials. Physical Review E: Covering Statistical, Nonlinear, Biological, and Soft Matter Physics. 2003;68(6):061702. DOI: 10.1103/PhysRevE.68.061702.
- Padmini HN, Rajabi M, Shiyanovskii SV, Lavrentovich OD. Azimuthal anchoring strength in photopatterned alignment of a nematic. Crystals. 2021;11(6):675. DOI: 10.3390/cryst11060675.
- Muravsky A, Murauski A. 40.3: Effect of birefringent alignment layer on azimuthal anchoring energy measurement. SID International Symposium Digest of Technical Papers. 2021;52(S2):497–499. DOI: 10.1002/sdtp.15176.
- Hecht E. Optics. 4th edition. San Francisco: Addison-Wesley; 2002. VI, 698 p.
- Marrucci L, Manzo C, Paparo D. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Physical Review Letters. 2006;96(16):163905. DOI: 10.1103/PhysRevLett.96.163905.
- Barboza R, Bortolozzo U, Clerc MG, Residori S. Berry phase of light under Bragg reflection by chiral liquid-crystal media. Physical Review Letters. 2016;117(5):053903. DOI: 10.1103/PhysRevLett.117.053903.
- Oh C, Escuti MJ. Achromatic polarization gratings as highly efficient thin-film polarizing beamsplitters for broadband light. In: Shaw JA, Tyo JS, editors. Polarization science and remote sensing III; 2007 August 29–30; San Diego, USA. Bellingham: SPIE; 2007. p. 668211. (Proceedings of SPIE; volume 6682). DOI: 10.1117/12.735370.
- Oh C, Escuti MJ. Achromatic diffraction from polarization gratings with high efficiency. Optics Letters. 2008;33(20):2287–2289. DOI: https://doi.org/10.1364/OL.33.002287.
- Akhramenko VK, Berezkina LL, Il’inkova NI, Kashevskii VV, Krylenko NI, Prokhorovich MA, et al. Vysshaya matematika. Chast’ 1. Analiticheskaya geometriya. Analiz funktsii odnoi peremennoi [Higher mathematics. Part 1. Analytic geometry. Analysis of functions of one variable]. Abrashina-Zhadaeva NG, Rusak VN, editors. Minsk: Belarusian State University; 2013. 359 p. Russian.
- Zheng Shuang, Wang Jian. Measuring orbital angular momentum (OAM) states of vortex beams with annular gratings. Scientific Reports. 2017;7:40781. DOI: 10.1038/srep40781.
- Franke-Arnold S, Radwell N. Light served with a twist. Optics and Photonics News. 2017;28(6):28–35. DOI: 10.1364/OPN.28.6.000028.
- Slussarenko S, Murauski A, Du T, Chigrinov V, Marrucci L, Santamato E. Tunable liquid crystal q-plates with arbitrary topological charge. Optics Express. 2011;19(5):4085–4090. DOI: 10.1364/OE.19.004085.
- Melnikova E, Gorbach D, Slussarenko S Sr, Muravsky A, Tolstik A, Slussarenko S Jr. Liquid-crystal q-plates with a phase core to generation vortex beams with controllable number of singularities. Optics Communications. 2022;522:128661. DOI: 10.1016/j.optcom.2022.128661.
Downloads
Additional Files
Published
Issue
Section
License
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)












