Abstract
To obtain radiation pressure of a hybrid chiral structure, we derive the transfer matrix method and optical force densities from the Maxwell stress tensor for a planar layered bianisotropic media. The key derivations are how to get wavevectors and field components of each layer, transfer matrices connecting four eigenwaves of adjacent chiral media, as well as the force densities expressed by co- and cross-polarized reflection and transmission coefficients. After the validation of the methods and programs is performed, the radiation pressure of a layered biaxial bianisotropic chiral slab is studied. The effects of linearly and circularly polarization incident waves, incident angle, thickness, opposite handedness (optical activity), anisotropy, gain and loss of chiral media on the radiation pressure are discussed. Our work elucidates the mechanism of light-chiral media interactions, provides better understanding of chiral detection, optical trapping, and biophysics.
Funding source: the National Natural Science Foundation of China
Award Identifier / Grant number: 62271113 and Grant 61971351
Funding source: National Key Laboratory of Electromagnetic Environment
Award Identifier / Grant number: 202102010 and Grant 6142403
-
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
-
Research funding: This work was supported in part by the National Natural Science Foundation of China under Grant 62271113 and Grant 61971351, and in part by the Fund of the National Key Laboratory of Electromagnetic Environment under Grant 202102010 and Grant 6142403.
-
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
[1] A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett., vol. 11, no. 5, pp. 288–290, 1986, https://doi.org/10.1364/ol.11.000288.Search in Google Scholar PubMed
[2] T. Horai, H. Eguchi, T. Iida, and H. Ishihhara, “Formulation of resonant optical force based on the microscopic structure of chiral molecules,” Opt. Express, vol. 29, no. 23, pp. 38824–38840, 2021, https://doi.org/10.1364/oe.440352.Search in Google Scholar PubMed
[3] W. Q. Ding, T. T. Zhu, L. M. Zhou, and C. W. Qiu, “Photonic tractor beams: a review,” Adv. Photonics, vol. 1, no. 2, pp. 1–14, 2019, https://doi.org/10.1117/1.ap.1.2.024001.Search in Google Scholar
[4] M. Y. Wang, H. L. Li, D. L. Gao, L. Gao, J. Xu, and C. W. Qiu, “Radiation pressure of active dispersive chiral slabs,” Opt. Express, vol. 23, no. 13, pp. 16546–16553, 2015, https://doi.org/10.1364/oe.23.016546.Search in Google Scholar
[5] Y. Li, G. H. Rui, S. C. Zhou, et al., “Enantioselective optical trapping of chiral nanoparticles using a transverse optical needle field with a transverse spin,” Opt. Express, vol. 28, no. 19, pp. 27808–27822, 2020, https://doi.org/10.1364/oe.403556.Search in Google Scholar
[6] C. Genet, “Chiral light−chiral matter interactions: an optical force perspective,” ACS Photonics, vol. 9, no. 2, pp. 319–332, 2022, https://doi.org/10.1021/acsphotonics.1c01130.Search in Google Scholar
[7] D. R. Abujets, M. I. Marqués, and J. A. Sánchez-Gil, “Modulated flipping torque, spin-induced radiation pressure, and chiral sorting exerted by guided light,” Opt. Express, vol. 29, no. 11, pp. 16969–16979, 2021, https://doi.org/10.1364/oe.412638.Search in Google Scholar PubMed
[8] K. J. Wo, J. Peng, M. K. Prasad, Y. Z. Shi, and J. Li, “Optical forces in coupled chiral particles,” Phys. Rev. A, vol. 102, no. 4, pp. 1–9, 2020, https://doi.org/10.1103/physreva.102.043526.Search in Google Scholar
[9] G. P. Li, M. Y. Wang, H. L. Li, M. X. Yu, Y. L. Dong, and J. Xu, “Wave propagation and Lorentz force density in gain chiral structures,” Opt. Mater. Express, vol. 6, no. 2, pp. 388–395, 2016, https://doi.org/10.1364/ome.6.000388.Search in Google Scholar
[10] H. Wu, P. Zhang, X. J. Zhang, Y. Hu, Z. G. Chen, and J. J. Xu, “Selective trapping of chiral nanoparticles via vector Lissajous beams,” Opt. Express, vol. 30, no. 3, pp. 3592–3600, 2020, https://doi.org/10.1364/oe.448987.Search in Google Scholar PubMed
[11] T. T. Zhu, Y. Z. Shi, W. Q. Ding, et al.., “Extraordinary multipole modes and ultra-enhanced optical lateral force by chirality,” Phys. Rev. Lett., vol. 125, no. 4, pp. 1–6, 2020, https://doi.org/10.1103/physrevlett.125.043901.Search in Google Scholar
[12] T. Horai, H. Eguchi, T. Iida, and H. Ishihara, “Formulation of resonant optical force based on the microscopic structure of chiral molecules,” Opt. Express, vol. 29, no. 23, pp. 38824–38840, 2021, https://doi.org/10.1364/oe.440352.Search in Google Scholar
[13] L. A. Warning, A. R. Miandashti, L. A. McCarthy, Q. F. Zhang, C. F. Landes, and S. Link, “Nanophotonic approaches for chirality sensing,” ACS Nano, vol. 15, no. 10, pp. 15538–15566, 2021, https://doi.org/10.1021/acsnano.1c04992.Search in Google Scholar PubMed
[14] Z. Y. Yuan, Y. K. Zhou, Z. Qiao, et al.., “Stimulated chiral light−matter interactions in biological microlasers,” ACS Nano, vol. 15, no. 5, pp. 8965–8975, 2021, https://doi.org/10.1021/acsnano.1c01805.Search in Google Scholar PubMed
[15] J. Y. Shao, L. Luo, Y. He, et al.., “High-precise measurement of optical rotatory dispersion based on weak value amplification,” IEEE Photon. J., vol. 13, no. 4, pp. 1–5, 2021, https://doi.org/10.1109/jphot.2021.3094588.Search in Google Scholar
[16] J. C. Ni, S. L. Liu, G. W. Hu, et al.., “Giant helical dichroism of single chiral nanostructures with photonic orbital angular momentum,” ACS Nano, vol. 15, no. 2, pp. 2893–2900, 2021, https://doi.org/10.1021/acsnano.0c08941.Search in Google Scholar PubMed
[17] B. Fan, T. MX. Zhang, S. M. He, et al.., “Chirality parameter sensing based on surface plasmon resonance D-type photonic crystal fiber sensors,” Appl. Opt., vol. 60, no. 12, pp. 3314–3321, 2021, https://doi.org/10.1364/ao.420577.Search in Google Scholar PubMed
[18] M. Y. Wang, H. L. Li, T. Xu, et al.., “Probing bianisotropic biomolecules via a surface plasmon resonance sensor,” Opt. Express, vol. 26, no. 22, pp. 28277–28287, 2018, https://doi.org/10.1364/oe.26.028277.Search in Google Scholar PubMed
[19] H. Z. Zhang, W. X. Zhang, S. S. Hou, R. Y. Wang, and X. D. Zhang, “Superchiral fields generated by nanostructures and their applications for chiral sensing,” Chin. Phys. B, vol. 30, no. 11, pp. 1–18, 2021, https://doi.org/10.1088/1674-1056/ac11df.Search in Google Scholar
[20] M. C. Gather and S. H. Yun, “Single-cell biological lasers,” Nat. Photonics, vol. 5, no. 5, pp. 406–410, 2021, https://doi.org/10.1038/nphoton.2011.99.Search in Google Scholar
[21] I. V. Lindell and A. J. Viitanen, Electromagnetic Waves in Chiral and Biisotropic Media, Boston, Artech House, 1994.Search in Google Scholar
[22] K. J. Webb and Shivanand, “Negative electromagnetic plane-wave force in gain media,” Phys. Rev. E, vol. 84, no. 5, pp. 1–4, 2011, https://doi.org/10.1103/physreve.84.057602.Search in Google Scholar PubMed
[23] U. C. Hasar, A. Muratoglu, M. Bute, J. J. Barroso, and M. Ertugrul, “Effective constitutive parameters retrieval method for bianisotropic metamaterials using waveguide measurements,” IEEE Trans. Microwave Theory Tech., vol. 65, no. 5, pp. 1488–1497, 2017, https://doi.org/10.1109/tmtt.2016.2644639.Search in Google Scholar
[24] H. X. Zheng, X. Li, Y. K. Jiang, J. Ng, Z. F. Lin, and H. J. Chen, “General formulations for computing the optical gradient and scattering forces on a spherical chiral particle immersed in generic monochromatic optical fields,” Phys. Rev. A, vol. 101, no. 5, pp. 1–18, 2020, https://doi.org/10.1103/physreva.101.053830.Search in Google Scholar
[25] F. Wang and B. Wei, “Propagation matrix of plane wave incident obliquely on stratified lossy chiral medium,” Acta Phys. Sin., vol. 66, no. 6, pp. 1–10, 2017, https://doi.org/10.7498/aps.66.064101.Search in Google Scholar
[26] D. Y. Khaliullin and S. A. Tretyakov, “Reflection and transmission coefficients for thin bianisotropic layers,” IEE P.-Microw. Anten. P., vol. 145, no. 2, pp. 163–168, 1998.https://doi.org/10.1049/ip-map:19981452.10.1049/ip-map:19981452Search in Google Scholar
[27] J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt., vol. 5, no. 4, pp. 417–443, 1999, https://doi.org/10.1088/0963-9659/5/4/008.Search in Google Scholar
[28] S. L. He, Y. D. Hu, and S. Strom, “Electromagnetic reflection and transmission for a stratified bianisotropic slab,” IEEE Trans. Antennas Propag., vol. 42, no. 6, pp. 856–858, 1994, https://doi.org/10.1109/8.301707.Search in Google Scholar
[29] S. Y. Wang, K. F. Sheng, and B. X. Li, “Switchable electromagnetic shield based on seawater,” Frequenz, vol. 76, nos. 3–4, pp. 157–167, 2022, https://doi.org/10.1515/freq-2021-0113.Search in Google Scholar
[30] M. Legenkiy and V. Khrychov, “Numerical modeling of electromagnetic scattering from complex shape object with coating,” Frequenz, vol. 76, nos. 1–2, pp. 75–82, 2022, https://doi.org/10.1515/freq-2021-0062.Search in Google Scholar
[31] W. Y. Yin, G. H. Nan, and I. Wolff, “The combined effects of chiral operation in multilayered bianisotropic substrates,” J. Electromagnet. Waves, vol. 12, no. 11, pp. 1427–1428, 1998, https://doi.org/10.1163/156939398x00377.Search in Google Scholar
[32] B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, “Ab initio study of the radiation pressure on dielectric and magnetic media,” Opt. Express, vol. 13, no. 23, pp. 9280–9291, 2005, https://doi.org/10.1364/opex.13.009280.Search in Google Scholar PubMed
[33] M. Mansuripur, “Radiation pressure and the linear momentum of the electromagnetic field,” Opt. Express, vol. 12, no. 22, pp. 5375–5401, 2004, https://doi.org/10.1364/opex.12.005375.Search in Google Scholar PubMed
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- Coaxial resonant cavity for measuring complex permittivity of liquids
- Analysis of quad-band polarization- and incident-angle independent low profile metamaterial absorber
- Radiation pressure of a hybrid bianisotropic chiral structure
- Improving the automatic target recognition algorithm’s accuracy through an examination of the different time-frequency representations and data augmentation
- On the effect of array size on the radar cross section reduction bandwidth of checkerboard metasurfaces
- Analysis and synthesis of L- and T-shaped flexible compact microstrip antennas using regression-based machine learning approaches
- Novel implantable antenna with miniaturized footprint size for wideband biomedical telemetry applications
- Circular shape monopole antenna with modified ground plane proclaiming SWB characteristics
- Miniaturized wideband implantable slotted loop antenna for biotelemetry applications
- A 156 GHz high-power doubler-embedded cross-coupled local oscillator in 55 nm CMOS technology
Articles in the same Issue
- Frontmatter
- Research Articles
- Coaxial resonant cavity for measuring complex permittivity of liquids
- Analysis of quad-band polarization- and incident-angle independent low profile metamaterial absorber
- Radiation pressure of a hybrid bianisotropic chiral structure
- Improving the automatic target recognition algorithm’s accuracy through an examination of the different time-frequency representations and data augmentation
- On the effect of array size on the radar cross section reduction bandwidth of checkerboard metasurfaces
- Analysis and synthesis of L- and T-shaped flexible compact microstrip antennas using regression-based machine learning approaches
- Novel implantable antenna with miniaturized footprint size for wideband biomedical telemetry applications
- Circular shape monopole antenna with modified ground plane proclaiming SWB characteristics
- Miniaturized wideband implantable slotted loop antenna for biotelemetry applications
- A 156 GHz high-power doubler-embedded cross-coupled local oscillator in 55 nm CMOS technology