Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study

Yakup Emül

doi:10.17776/csj.1739869

Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study

Abstract

We present a computational study of a two-stage liquid crystal (LC) retarder system composed of oppositely rotated planar-aligned LC layers placed between three linear polarizers. The molecular orientations of the LC molecules (LCMs) are modeled using Monte Carlo (MC) simulations based on the Lebwohl–Lasher and Rapini–Papoular potentials. The resulting director configurations are used as input for Mueller matrix-based optical analysis to compute polarization-dependent transmittance across the visible spectrum. We systematically explore the effects of rotation angle, cell thickness, and wavelength on the system’s transmission characteristics. Particular attention is given to red (700 nm), green (546.1 nm), and blue (435.8 nm) (RGB) light components, demonstrating polarization-sensitive spectral filtering and angular tunability. Our findings highlight the system’s potential for use in compact optical filters, RGB channel isolation, and polarization-sensitive imaging applications.

Keywords

References

[1] Woltman S. J., Jay G. D., Crawford G. P., Liquid-crystal materials find a new order in biomedical applications, Nature Materials, 6 (12) (2007) 929-938.
[2] Sneh A., Johnson K. M., High-speed continuously tunable liquid crystal filter for WDM networks, Journal of Lightwave Technology, 14 (6) (1996) 1067-1080.
[3] Berlic C., Barna V., Monte Carlo simulation of the molecular distribution and optical properties of a nematic liquid crystal system with periodic surface gratings, Opt. Express, 18 (23) (2010) 23646–23656.
[4] García-García A., VergazR., Algorri J. F., Quintana X., Otón J. M., Electrical response of liquid crystal cells doped with multi-walled carbon nanotubes, Beilstein Journal of Nanotechnology, 6 (1) (2015), 396-403.
[5] Lebwohl P. A., Lasher G., Nematic-Liquid-Crystal Order---A Monte Carlo Calculation, Phys. Rev. A, 6 (1) (1972), 426-429.
[6] Emül Y., Monte carlo simulations for tuning optical properties in a two-stage liquid crystal retarder system via Mueller matrix method, Liquid Crystals, (online) (2024) 1-8.
[7] Emül Y, Polat Ö., San S. E., Kayacan Ö. Özbek H., Investigating electro-optical properties of a nematic liquid crystal cell with planar anchoring boundary condition for various thicknesses: A Monte Carlo study, Optical Materials, 36 (8) (2014) 1373-1377.
[8] Xu F., Kitzerow H. S., Crooker P. P., Electric-field effects on nematic droplets with negative dielectric anisotropy, Phys. Rev. A, 46 (10) (1992) 6535–6540.

Details

Primary Language

English

Subjects

Atomic, Molecular and Optical Physics (Other), Classical and Physical Optics

Journal Section

Research Article

Authors

Yakup Emül ^*
0000-0002-9255-4101
Türkiye

Publication Date

September 30, 2025

Submission Date

July 11, 2025

Acceptance Date

September 15, 2025

Published in Issue

Year 2025 Volume: 46 Number: 3

DOI

https://doi.org/10.17776/csj.1739869

IZ

https://izlik.org/JA58NJ42JM

Cite

RIS / Bibtex

APA

Emül, Y. (2025). Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study. Cumhuriyet Science Journal, 46(3), 668-671. https://doi.org/10.17776/csj.1739869

AMA

1.Emül Y. Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study. CSJ. 2025;46(3):668-671. doi:10.17776/csj.1739869

Chicago

Emül, Yakup. 2025. “Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study”. Cumhuriyet Science Journal 46 (3): 668-71. https://doi.org/10.17776/csj.1739869.

EndNote

Emül Y (September 1, 2025) Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study. Cumhuriyet Science Journal 46 3 668–671.

IEEE

[1]Y. Emül, “Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study”, CSJ, vol. 46, no. 3, pp. 668–671, Sept. 2025, doi: 10.17776/csj.1739869.

ISNAD

Emül, Yakup. “Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study”. Cumhuriyet Science Journal 46/3 (September 1, 2025): 668-671. https://doi.org/10.17776/csj.1739869.

JAMA

1.Emül Y. Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study. CSJ. 2025;46:668–671.

MLA

Emül, Yakup. “Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study”. Cumhuriyet Science Journal, vol. 46, no. 3, Sept. 2025, pp. 668-71, doi:10.17776/csj.1739869.

Vancouver

1.Yakup Emül. Optical Properties of a Two-Stage Oppositely Rotated Liquid Crystal Retarder System: A Monte Carlo and Mueller Matrix Study. CSJ. 2025 Sep. 1;46(3):668-71. doi:10.17776/csj.1739869