A twist-bend nematic (N-TB) liquid crystalline phase spontaneously forms modulated structures on a microscale level when confined in thin planar cells. Preliminary studies showed that these cells can be used as polarization gratings. Here we present a theoretical description of the formation of a two-dimensionally modulated structure. By considering the N-TB phase as a pseudolayer medium, a threshold condition for the onset of a modulated structure is calculated for weak and strong boundary conditions in the case of initially bookshelf or pretilt alignment of pseudolayers. Based on the modeled structure we determine spatial variation of the optic axis and calculate properties of the transmitted diffracted light. Results of the beam propagation method (BPM) and transfer matrix method are compared and it is shown that a more complex BPM gives better agreement with experimental results, meaning that even in thin cells the diffraction of light inside the grating should not be neglected.
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Univ Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, EnglandUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Stevenson, Warren D.
Zeng, Xiangbing
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Univ Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, EnglandUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Zeng, Xiangbing
Welch, Chris
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Univ Hull, Dept Chem, Kingston Upon Hull HU6 7RX, N Humberside, EnglandUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Welch, Chris
Thakur, Anil K.
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Univ Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, EnglandUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Thakur, Anil K.
Ungar, Goran
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Univ Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Xi An Jiao Tong Univ, Sch Mat Sci & Engn, State Key Lab Mech Behav Mat, Xian 710049, Peoples R ChinaUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
Ungar, Goran
Mehl, Georg H.
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Univ Hull, Dept Chem, Kingston Upon Hull HU6 7RX, N Humberside, EnglandUniv Sheffield, Dept Mat Sci & Engn, Sheffield S1 3JD, S Yorkshire, England
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Bukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Chornous, Vitalii
Grozav, Alina
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Bukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Grozav, Alina
Vovk, Mykhailo
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Natl Acad Sci Ukraine, Inst Organ Chem, Dept Mech Organ React, Kiev, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Vovk, Mykhailo
Bratova, Daria
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Natl Tech Univ Ukraine, Igor Sikorsky Kyiv Polytech Inst, Dept Informat & Measuring Technol, Kiev, Ukraine
Natl Acad Sci Ukraine, Inst Phys, Dept Opt Quantum Elect, Kiev, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Bratova, Daria
Kasian, Natalia
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Natl Acad Sci Ukraine, Inst Scintillat Mat STC, Inst Single Crystals, Dept Nanostruct Mat, Kharkiv, Ukraine
Warshaw Univ Technol, Fac Phys, Warshaw, PolandBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Kasian, Natalia
Lisetski, Longin
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Natl Acad Sci Ukraine, Inst Scintillat Mat STC, Inst Single Crystals, Dept Nanostruct Mat, Kharkiv, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
Lisetski, Longin
Gvozdovskyy, Igor
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Natl Acad Sci Ukraine, Inst Phys, Dept Opt Quantum Elect, Kiev, UkraineBukovinian State Med Univ, Dept Med & Pharmaceut Chem, Chernovtsy, Ukraine
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East China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Yuan, Conglong
Zhan, Yuxing
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East China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Zhan, Yuxing
Liu, Huixian
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East China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Liu, Huixian
Wang, Zhaoyi
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East China Univ Sci & Technol, Sch Phys, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Wang, Zhaoyi
Shen, Ning
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East China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Shen, Ning
Liu, Binghui
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East China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Liu, Binghui
Hu, Honglong
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East China Univ Sci & Technol, Sch Chem & Mol Engn, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China
Hu, Honglong
Zheng, Zhigang
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East China Univ Sci & Technol, Sch Phys, Shanghai 200237, Peoples R ChinaEast China Univ Sci & Technol, Sch Mat Sci & Engn, Shanghai 200237, Peoples R China