- Physical Review Journals
All JournalsPhysics Magazine

Physical Review A

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Shift of Brewster's angle with two-dimensional materials and structures

Oleh Yermakov*

  • V. N. Karazin Kharkiv National University, Kharkiv 61022, Ukraine and Leibniz Institute of Photonic Technology, Jena 07745, Germany

  • *oe.yermakov@gmail.com
PDF

Phys. Rev. A 109, L031502 – Published 15 March, 2024

DOI: https://doi.org/10.1103/PhysRevA.109.L031502

Abstract

The Brewster effect has a number of applications in antireflection coatings, spectroscopy, and polarization optics, but its tunability is still of high demand. In this Letter, we discover a method of Brewster angle control with two-dimensional conducting layers. Namely, we analyze the angular shift of Brewster's angle depending on the surface conductivity of a two-dimensional layer. First, we derive the analytical model with exact conductivity-dependent solution. Then, we investigate the Brewster angle shift in the cases of monolayer graphene and plasmonic metasurface. Finally, we support our analytical results by the full-wave numerical simulations. The results obtained may find a plethora of applications in flat optical and planar photonic devices.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (36)

  1. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Elsevier, New York, 2013).
  2. D. Brewster, On the laws which regulate the polarisation of light by reflexion from transparent bodies, Phil. Trans. R. Soc. Lond. 105, 125 (1815).
  3. A. Fresnel, Note sur le calcul des teintes que la polarisation développe dans les lames cristallisées, Ann. Chim. Phys. 17, 102 (1821).
  4. J. Z. Buchwald, The Rise of the Wave Theory of Light: Optical Theory and Experiment in the Early Nineteenth Century (University of Chicago, Chicago, 1989).
  5. A. Lakhtakia, Would Brewster recognize today's Brewster angle? Opt. News 15, 14 (1989).
  6. R. Magnusson, D. Shin, and Z. Liu, Guided-mode resonance Brewster filter, Opt. Lett. 23, 612 (1998).
  7. D. Shin, Z. Liu, and R. Magnusson, Resonant Brewster filters with absentee layers, Opt. Lett. 27, 1288 (2002).
  8. H. Fan, J. Li, Y. Lai, and J. Luo, Optical Brewster metasurfaces exhibiting ultrabroadband reflectionless absorption and extreme angular asymmetry, Phys. Rev. Appl. 16, 044064 (2021).
  9. H. Luo, X. Zhou, W. Shu, S. Wen, and D. Fan, Enhanced and switchable spin Hall effect of light near the Brewster angle on reflection, Phys. Rev. A 84, 043806 (2011).
  10. J. B. Götte and M. R. Dennis, Limits to superweak amplification of beam shifts, Opt. Lett. 38, 2295 (2013).
  11. K. V. Sreekanth, P. Mahalakshmi, S. Han, M. S. Mani Rajan, P. K. Choudhury, and R. Singh, Brewster mode-enhanced sensing with hyperbolic metamaterial, Adv. Opt. Mater. 7, 1900680 (2019).
  12. K. V. Sreekanth, M. ElKabbash, R. Medwal, J. Zhang, T. Letsou, G. Strangi, M. Hinczewski, R. S. Rawat, C. Guo, and R. Singh, Generalized Brewster angle effect in thin-film optical absorbers and its application for graphene hydrogen sensing, ACS Photon. 6, 1610 (2019).
  13. D. Hoenig and D. Moebius, Direct visualization of monolayers at the air-water interface by Brewster angle microscopy, J. Phys. Chem. 95, 4590 (1991).
  14. S. Hénon and J. Meunier, Microscope at the Brewster angle: Direct observation of first-order phase transitions in monolayers, Rev. Sci. Instrum. 62, 936 (1991).
  15. R. Wang, S. He, S. Chen, and H. Luo, Brewster differential microscopy, Appl. Phys. Lett. 121, 231103 (2022).
  16. W. Daear, M. Mahadeo, and E. J. Prenner, Applications of Brewster angle microscopy from biological materials to biological systems, Biochim. Biophys. Acta Biomembr. 1859, 1749 (2017).
  17. T. Kawanishi, The shift of Brewster's scattering angle, Opt. Commun. 186, 251 (2000).
  18. K. J. Lee and K. Kim, Universal shift of the Brewster angle and disorder-enhanced delocalization of p waves in stratified random media, Opt. Express 19, 20817 (2011).
  19. C. Bahrim and W.-T. Hsu, Precise measurements of the refractive indices for dielectrics using an improved Brewster angle method, Am. J. Phys. 77, 337 (2009).
  20. R. Paniagua-Domínguez, Y. F. Yu, A. E. Miroshnichenko, L. A. Krivitsky, Y. H. Fu, V. Valuckas, L. Gonzaga, Y. T. Toh, A. Y. S. Kay, B. Luk'yanchuk et al., Generalized Brewster effect in dielectric metasurfaces, Nat. Commun. 7, 10362 (2016).
  21. D. R. Abujetas, J. A. Sanchez-Gil, and J. J. Sáenz, Generalized Brewster effect in high-refractive-index nanorod-based metasurfaces, Opt. Express 26, 31523 (2018).
  22. X. Lin, Y. Shen, I. Kaminer, H. Chen, and M. Soljačić, Transverse-electric Brewster effect enabled by nonmagnetic two-dimensional materials, Phys. Rev. A 94, 023836 (2016).
  23. Z. Chen, X. Chen, L. Tao, K. Chen, M. Long, X. Liu, K. Yan, R. I. Stantchev, E. Pickwell-MacPherson, and J.-B. Xu, Graphene controlled Brewster angle device for ultra broadband terahertz modulation, Nat. Commun. 9, 4909 (2018).
  24. M. Oliva-Leyva and G. G. De la Cruz, Unveiling optical in-plane anisotropy of 2D materials from oblique incidence of light, J. Phys.: Condens. Matter 31, 335701 (2019).
  25. B. Majérus, M. Cormann, N. Reckinger, M. Paillet, L. Henrard, P. Lambin, and M. Lobet, Modified Brewster angle on conducting 2D materials, 2D Mater. 5, 025007 (2018).
  26. D. Pérez-Francés, G. Santos, J. Resl, M. Losurdo, Y. Gutiérrez, and F. Moreno, Sb2S3-based optical switch exploiting the Brewster angle phenomenon, Opt. Mater. Express 13, 3677 (2023).
  27. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009).
  28. P. A. D. Gonçalves and N. M. Peres, An Introduction to Graphene Plasmonics (World Scientific, Singapore, 2016).
  29. O. V. Kotov and Y. E. Lozovik, Enhanced optical activity in hyperbolic metasurfaces, Phys. Rev. B 96, 235403 (2017).
  30. O. Y. Yermakov, D. V. Permyakov, F. V. Porubaev, P. A. Dmitriev, A. K. Samusev, I. V. Iorsh, R. Malureanu, A. V. Lavrinenko, and A. A. Bogdanov, Effective surface conductivity of optical hyperbolic metasurfaces: From far-field characterization to surface wave analysis, Sci. Rep. 8, 14135 (2018).
  31. A. Hrinchenko and O. Yermakov, Designing optical hyperbolic metasurfaces based on gold nanodisks, J. Phys. D: Appl. Phys. 56, 465105 (2023).
  32. D. I. Yakubovsky, A. V. Arsenin, Y. V. Stebunov, D. Y. Fedyanin, and V. S. Volkov, Optical constants and structural properties of thin gold films, Opt. Express 25, 25574 (2017).
  33. K. Novoselov, A. Mishchenko, A. Carvalho, and A. Castro Neto, 2D materials and van der Waals heterostructures, Science 353, aac9439 (2016).
  34. C. Liu, H. Chen, S. Wang, Q. Liu, Y.-G. Jiang, D. W. Zhang, M. Liu, and P. Zhou, Two-dimensional materials for next-generation computing technologies, Nat. Nanotechnol. 15, 545 (2020).
  35. I. Malkiel, M. Mrejen, A. Nagler, U. Arieli, L. Wolf, and H. Suchowski, Plasmonic nanostructure design and characterization via deep learning, Light Sci. Appl. 7, 60 (2018).
  36. C. Majorel, C. Girard, A. Arbouet, O. L. Muskens, and P. R. Wiecha, Deep learning enabled strategies for modeling of complex aperiodic plasmonic metasurfaces of arbitrary size, ACS Photon. 9, 575 (2022).

Outline

Information

Phys. Rev. A 109, L031502– Published 15 March, 2024
  • Received 13 January 2024
  • Accepted 29 February 2024
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation