Abstract
Recent developments in plasmonic sensors have surpassed optical sensor’s efficiency due to their ultrasmall sizes, high sensitivity, and tunability. The investigation of the rotary drag of surface plasmon polaritons has greatly enhanced the sensitivity of plasmonic sensors. In this article, Surface Plasmon Polaritons are theoretically investigated at the interface of Cesium (Cs) and Silver–silica nano-composite media. Significant enhancement in plasmon polariton’s rotary drag is observed by changing the phase and amplitude of the complex conductivity of the Cs. The maximum rotary drag achieved at the propagation length along the interface is \(4\times 10^{-10}\) radian. The achieved value of drag at the penetration depth of silica nano-composite is of the order of \(4\times 10^{-11} \) radian, which is ten times smaller than the drag at the propagation length. Similarly, the value of drag achieved at the penetration depth of Cs is in the order of 4 pico-radian, which is twenty times smaller than the drag at the propagation length and ten times smaller than the drag at the penetration depth of silica nano-composite. The enhancement in rotary drag of Surface Plasmon Polariton at the propagation length and penetration depths may find significant applications in sensor devices, photo-imaging, and device designing technologies.
Similar content being viewed by others
Data Availability Statement
This paper is theoretical research and has no associated data.
References
M. Tame, K. McEnery, S. ízdemir. et al., Quantum plasmonics. Nat. Phys. (2013). https://doi.org/10.1038/nphys2615
W.L. Barnes, A. Dereux, T.W. Ebbesen, Surface plasmon subwavelength optics. Nature (2003). https://doi.org/10.1038/nature01937
N. Khan, B.A. Bacha, A. Iqbal, A.U. Rahman, A. Afaq, Gain-assisted superluminal propagation and rotary drag of photon and surface plasmon polaritons. Erratum Phys. Rev. A (2017). https://doi.org/10.1103/PhysRevA.96.013848
A. Passian, A.L. Lereu, A. Wig, F. Meriaudeau, T. Thundat, T.L. Ferrell, Imaging standing surface plasmons by photon tunneling. Phys. Rev. B 71(16), 165418 (2005)
T. Zhang, F. Shan, Development and application of surface plasmon polaritons on optical amplification. Nanomaterials (2014). https://doi.org/10.1155/2014/495381
J.N. Anker, W.P. Hall, O. Lyandres, N.C. Shah, J. Zhao, R.P. Van Duyne, Biosensing with plasmonic nanosensors. Nat. Mater. (2008). https://doi.org/10.1038/nmat2162
J.N. Anker, W.P. Hall, O. Lyandres, N.C. Shah, J. Zhao, R.P. Van Duyne, Biosensing with plasmonic nanosensors. Nat. Mater. (2008). https://doi.org/10.1038/nmat2162
H.A. Atwater, A. Polman, Plasmonics for improved photovoltaic devices. Nat. Mater. (2010). https://doi.org/10.1038/nmat2629
S. Linic, P. Christopher, D.B. Ingram, Plasmonic-metal nanostructures for efficient conversion of solar to chemical energy. Nat. Mater. (2011). https://doi.org/10.1038/nmat3151
Z. Han, S.I. Bozhevolnyi, Radiation guiding with surface plasmon polaritons. Reports on progress in physics. Physical Society (Great Britain). (2013). https://doi.org/10.1088/0034-4885/76/1/016402
A.M. Gobin, M.H. Lee, N.J. Halas, W.D. James, R.A. Drezek, J.L. West, Near-infrared resonant nanoshells for combined optical imaging and photothermal cancer therapy. Nano Lett. (2007). https://doi.org/10.1021/nl070610y
Reece, P. J.:Plasmonics-finer optical tweezers. Nature Publishing Group. http://condmat.physics.manchester.ac.uk/pdf/mesoscopic/news/graphene/ Naturephot (2008). Accessed June2008
M.L. Juan, M. Righini, R. Quidant, Plasmon nano-optical tweezers. Nat. Photon. (2011). https://doi.org/10.1038/nphoton.2011.56
Mecklenburg, M., Hubbard, W. A., White, E. R., Dhall, R., Cronin, S. B., Aloni, S., Regan, B. C.:Thermal measurement. Nanoscale temperature mapping in operating microelectronic devices. Science(New York, N.Y.)(2015). 10.1126/science.aaa2433
I. Goykhman, B. Desiatov, J.B. Khurgin, J. Shappir, U. Levy, Locally Oxidized Silicon Surface-Plasmon Schottky Detector for Telecom Regime. Nano. Lett. (2011). https://doi.org/10.1021/nl200187v
Homola J., Piliarik M.:Surface Plasmon Resonance (SPR) Sensors. In: Homola J. (eds.) Surface Plasmon Resonance Based Sensors. Springer Series on Chemical Sensors and Biosensors, pp. 45-67 Springer, Berlin, Heidelberg(2006)
Raether H.:Surface plasmons on smooth surfaces. In. Surface Plasmons on Smooth and Rough Surfaces and on Gratings.(eds.) Springer Tracts in Modern Physics, pp.4-39. Springer, Berlin, Heidelberg(2006)
A. Boltasseva, H.A. Atwater, Low-Loss Plasmonic Metamaterials. Science (2011). https://doi.org/10.1126/science.1198258
H. Ditlbacher, A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F.R. Aussenegg, J.R. Krenn, Silver Nanowires as Surface Plasmon Resonators. Phys. Rev. Lett. (2005). https://doi.org/10.1103/PhysRevLett.95.257403
P. Kusar, C. Gruber, A. Hohenau, J.R. Krenn, Measurement and reduction of damping in plasmonic nanowires. Nano Lett. (2012). https://doi.org/10.1021/nl203452d
A. Paul, D. Solis Jr., K. Bao et al., Identification of higher order long-propagation-length surface plasmon polariton modes in chemically prepared gold nanowires. ACS Nano (2012). https://doi.org/10.1021/nn3027112
I. Suarez, A. Ferrando, J. Marques-Hueso, A. Díez, R. Abargues, P.J. Rodríguez-Cantó, J.P. Martí-nez-Pastor, Propagation length enhancement of surface plasmon polaritons in gold nano-/micro-waveguides by the interference with photonic modes in the surrounding active dielectrics. Nanophotonics (2017). https://doi.org/10.1515/nanoph-2016-0166
M.A. Izadi, R. Nouroozi, Adjustable Propagation Length Enhancement of the Surface Plasmon Polariton Wave via Phase Sensitive Optical Parametric Amplification (Rep. Lett, Sci, 2018). https://doi.org/10.1021/nl052471v
D.I. Nazarova, L.L. Nedelchev, P.S. Sharlandjiev, Surface plasmon polariton characteristics and resonant coupling on thin Al, Ag and Au layers. Bulg. Chem. Commun. 45, 119–123 (2013)
A. Otto, Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection. Z. Physik. (1968). https://doi.org/10.1007/BF01391532
W.L. Barnes, Surface plasmon polariton length scales: a route to sub-wavelength optics, J (A. Pure Appl. Op, Opt, 2006). https://doi.org/10.1088/1464-4258/8/4/s06
P. Berini, Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of symmetric structures. Phys. Rev. B. (2000). https://doi.org/10.1103/PhysRevB.61.10484
A.J. Fresnel, Ann. Chim. Phys. 9, 57 (1818)
P.C. Kuan, C. Huang, W.S. Chan, S. Kosen, S.Y. Lan, Large Fizeaus light-dragging effect in a moving electromagnetically induced transparent medium. Nat. Commun. (2016). https://doi.org/10.1038/ncomms13030
E.J. Post, Sagnac effect. Rev. Mod. Phys (1967). https://doi.org/10.1103/RevModPhys.39.475
H. Kurosawa, T. Ishihara, Surface plasmon drag effect in a dielectrically modulated metallic thin film. Opt. Exp. (2012). https://doi.org/10.1364/OE.20.001561
S. Ahmad, A. Ahmad, B.A. Bacha et al., Solitary waves of surface plasmon polariton via phase shifts under Doppler broadening and Kerr nonlinearity (Phys. J. Plus, Eur, 2017). https://doi.org/10.1140/epjp/i2017-11760-9
H. Nawab, M. Usman, M. Idrees, B.A. Bacha, Rotary penetration drag of surface plasmon polaritons at atomic and nano-composite media. Opt. Quant. Electron. 53(6), 1–13 (2021)
L. Nieradko, C. Gorecki, A. Douahi, V. Giordano, J.C. Beugnot, J.A. Dziuban, M. Moraja, New approach of fabrication and dispensing of micromachined cesium vapor cell. J. Micro Nanolithography, MEMS MOEMS 7(3), 033013 (2008)
M. Guo, H. Zhou, D. Wang, J. Gao, J. Zhang, S. Zhu, Experimental investigation of high-frequency-difference twin beams in hot cesium atoms. Physical Review A 89(3), 033813 (2014)
R. Ma, W. Liu, Z. Qin, X. Jia, J. Gao, Generating quantum correlated twin beams by four-wave mixing in hot cesium vapor. Phys. Rev. A. 96(4), 043843 (2017)
A.V. Rodionov, A. Veitia, R. Barends, J. Kelly, D. Sank, J. Wenner, A.N. Korotkov, Compressed sensing quantum process tomography for superconducting quantum gates. Phys. Rev. B. 90(14), 144504 (2014)
G. Li, H. Wang, T. Zhang, L. Mi, Y. Zhang, Z. Zhang, Y. Jiang, Solvent-polarity-engineered controllable synthesis of highly fluorescent cesium lead halide perovskite quantum dots and their use in white light-emitting diodes. Adv. Funct. Mater. 26(46), 8478–8486 (2016)
Eckertova, L. (2012). Physics of thin films. Springer Science and Business Media
K.T. Kapale, M.S. Zubairy, Subwavelength atom localization via amplitude and phase control of the absorption spectrum. Phys. Rev. A. (2006). https://doi.org/10.1103/PhysRevA.73.023813
H.J. Metcalf, P. van der Straten, Laser Cool. Trapp. (1999). https://doi.org/10.1364/JOSAB.20.000887
B.A. Bacha, T. Khan, N. Khan, S.A. Ullah, M.S.A. Jabar, A. Rahman, The hybrid mode propagation of surface plasmon polaritons at the interface of graphene and a chiral medium (Phys. J. Plus, Eur, 2018). https://doi.org/10.1140/epjp/i2018-12386-1
R. Khan, M. Haneef, M. Iqbal, Z. Khan, B.A. Bacha, H. Khan, Bakhtawar (2019) Phys. Scr. 10.1088/1402-4896/ab0b1b
K. Ali, M. Ullah, B.A. Bacha et al., Complex conductivity-dependent two-dimensional atom microscopy (Phys. J. Plus, Eur, 2019). https://doi.org/10.1140/epjp/i2019-12978-1
G. Piredda, D.D. Smith, B. Wendling, R.W. Boyd, J. Opt. Soc. Am. B 25, 945 (2008)
J. Mendoza, J.A. Reyes, Z.G. Avendano, Phys. Rev. A 94, 053839 (2016)
R. Din, F. Badshah, I. Ahmad and G.Q. Ge1, Tunable surface plasmon polaritons at the surfaces of nanocomposite media EPL 122 17001 (2018)
S.F. Arnold, G. Gibson, R.W. Boyd, M.J. Padgett, Rotary photon drag enhanced by a slow-light medium. Sci 333, 65–7 (2011)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Usman, M., Akbar, J., Rahman, A.u. et al. Influence of complex conductivity on rotary penetration drag of the surface plasmon polaritons. Eur. Phys. J. Plus 137, 1342 (2022). https://doi.org/10.1140/epjp/s13360-022-03576-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-03576-9