Skip to main content
Log in

Mechanisms of the anomalous Pockels effect in bulk water

  • Regular Paper
  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

The “anomalous” Pockels effect is a phenomenon that a light beam passing between two electrodes in an aqueous electrolyte solution is deflected by an AC voltage applied between the electrodes: the deflection angle is proportional to the voltage such that the incident beam alternately changes its direction. This phenomenon, the Pockels effect in bulk water, apparently contradicts what is believed in nonlinear optics, i.e., macroscopic inversion symmetry should be broken for the second-order nonlinear optical effect to occur such as the first-order electro-optic effect, i.e., the Pockels effect. To clarify the underlying mechanism, the dependence of the effect on the electrode material is investigated to find that the Pockels coefficient with Pt electrodes is two orders of magnitude smaller than with indium tin oxide (ITO) electrodes. It is experimentally confirmed that the Pockels effect of interfacial water in the electric double layer (EDL) on these electrodes shows an electrode dependence similar to the effect in bulk water while the effects depend on the frequency of the AC voltage such that the interfacial signal decreases with frequency but the bulk signal increases with frequency up to 221 Hz. These experimental results lead to a conclusion that the beam deflection is caused by the refractive index gradient in the bulk water region, which is formed transiently by the Pockels effect of interfacial water in the EDL when an AC electric field is applied. The refractive index gradient is caused by the diffuse layer spreading into the bulk region to work as a breaking factor of inversion symmetry of bulk water due to its charge-biased ionic distribution. This mechanism does not contradict the principle of nonlinear optics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Yariv, A.: Quantum Electronics, 3rd edn. Wiley, New York (1988)

    Google Scholar 

  2. Chen, W., Feller, M.B., Shen, Y.R.: General considerations on optical second-harmonic generation from surfaces and interfaces. Phys. Rev. B 33, 8254 (1986)

    Article  ADS  Google Scholar 

  3. Gragson, D.E., McCarty, B.M., Richmond, G.L.: Ordering of interfacial water molecules at the charged air/water interface observed by vibrational sum frequency generation. J. Am. Chem. Soc. 119, 6144–6152 (1997)

    Article  Google Scholar 

  4. Wen, Y.-C., Zha, S., Liu, X., Yang, S., Guo, P., Shi, G., Fang, H., Shen, Y.R., Tian, C.: Unveiling microscopic structures of charged water interfaces by surface-specific vibrational spectroscopy. Phys. Rev. Lett. 116, 016101 (2016)

    Article  ADS  Google Scholar 

  5. Tokunaga, E., Nosaka, Y., Hirabayashi, M., Kobayashi, T.: Pockels effect of water in the electric double layer at the interface between water and transparent electrode. Surf. Sci. 601, 735 (2007)

    Article  ADS  Google Scholar 

  6. Nosaka, Y., Hirabayashi, M., Kobayashi, T., Tokunaga, E.: Gigantic optical Pockels effect in water within the electric double layer at the electrode-solution interface. Phys. Rev. B. 77, 241401(R) (2008)

    Article  ADS  Google Scholar 

  7. Kanemaru, H., Nosaka, Y., Hirako, A., Ohkawa, K., Kobayashi, T., Tokunaga, E.: Electrooptic effect of water in electric double layer at interface of GaN electrode. Opt. Rev. 17, 352 (2010)

    Article  Google Scholar 

  8. Suzuki, Y., Osawa, K., Yukita, S., Kobayashi, T., Tokunaga, E.: Anomalously large electro-optic Pockels effect at the air–water interface with an electric field applied parallel to the interface. Appl. Phys. Lett. 108, 191103 (2016)

    Article  ADS  Google Scholar 

  9. Grahame, D.C.: The electrical double layer and the theory of electrocapillarity. Chem. Rev. 41, 441 (1947)

    Article  Google Scholar 

  10. Brown Jr., G.E., Henrich, V.E., Casey, W.H., Clark, D.L., Eggleston, C., Felmy, A., Goodman, D.W., Grätzel, M., Maciel, G., McCarthy, M.I., Nealson, K.H., Sverjensky, D.A., Toney, M.F., Zachara, J.M.: Metal oxide surfaces and their interactions with aqueous solutions and microbial organisms. Chem. Rev. 99, 77 (1999)

    Article  Google Scholar 

  11. Yukita, S., Shiokawa, N., Kanemaru, H., Namiki, H.: Takayoshi Kobayashi, Deflection switching of a laser beam by the Pockels effect of water. Appl. Phys. Lett. 100, 171108 (2012)

    Article  ADS  Google Scholar 

  12. Gabriel, M.C., Whitaker Jr., N.A., Dirk, C.W., Kuzyk, M.G., Thakur, M.: Measurement of ultrafast optical nonlinearities using a modified Sagnac interferometer. Opt. Lett. 16(17), 1334 (1991)

    Article  ADS  Google Scholar 

  13. Shiokawa, N., Tokunaga, E.: Quasi first-order Hermite Gaussian beam for enhanced sensitivity in Sagnac interferometer photothermal deflection spectroscopy. Opt. Express 24(11), 11961 (2016)

    Article  ADS  Google Scholar 

  14. Misawa, K., Kobayashi, T.: Femtosecond Sagnac interferometer for phase spectroscopy. Opt. Lett. 20, 1550–1552 (1995)

    Article  ADS  Google Scholar 

  15. Takahashi, T., Ishii, Y., Onodera, R.: Phase-shifting interferometric profilometry with a wavelength-tunable diode source. Opt. Rev. 21(3), 410 (2014)

    Article  Google Scholar 

  16. Toney, M.F., et al.: Near-surface alignment of polymers in rubbed films. Nature 374, 709 (1995)

    Article  ADS  Google Scholar 

  17. Ho, P.P., Alfano, R.R.: Optical Kerr effect in liquids. Phys. Rev. A 20, 2170 (1979)

    Article  ADS  Google Scholar 

  18. Dworczak, R., Kieslinger, D.: Electric Deld induced second harmonic generation (EFISH) experiments in the swivel cell: new aspects of an established method. Phys. Chem. Chem. Phys. 2, 5057–5064 (2000)

    Article  Google Scholar 

  19. Fricke, H.: The theory of electrolytic polarization. Philos. Mag. 14, 310 (1932)

    Article  Google Scholar 

  20. Born, M., Wolf, E.: Principles of Optics, 6th edn. Pergamon Press, Oxford (1980)

    Google Scholar 

  21. Kobiyama, M.: Theory of Optical Thin Films, vol. 2, p. 83. Optronics, Tokyo (2003)

    Google Scholar 

  22. Morrow, R., McKenzie, D.R., Bilek, M.M.M.: The time-dependent development of electric double-layers in saline solutions. J. Phys. D Appl. Phys. 39, 937–943 (2006)

    Article  ADS  Google Scholar 

  23. Little, C.A.E., Orloff, N.D., Hanemann, I.E., Long, C.J., Bright, V.M., Booth, J.C.: Modeling electrical double-layer effects for microfluidic impedance spectroscopy from 100 kHz to 110 GHz. Lab. Chip 17, 2674–2681 (2017)

    Article  Google Scholar 

  24. Kanemaru, H., Yukita, S., Namiki, H., Nosaka, Y., Kobayashi, T., Tokunaga, E.: Giant Pockels effect of polar organic solvents and water in the electric double layer on a transparent electrode. RSC Advs. 7, 45682–45690 (2017)

    Article  Google Scholar 

  25. Sopra, S.A., Optical Data from Sopra SA. http://www.sspectra.com/sopra.html. Accessed 5 Jan 2018

Download references

Acknowledgements

The authors would like to thank Prof. Kiyoshi Asakawa and Prof. Yasuhiro Horiike from University of Tsukuba for their valuable comments. This work was supported by a Grant-in-Aid for Scientific Research(C) (Grant Number JP15K05134), Japan Society for the Promotion of Science (JSPS).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Eiji Tokunaga.

Ethics declarations

Conflicts of interest

There are no conflicts of interest to declare.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yukita, S., Suzuki, Y., Shiokawa, N. et al. Mechanisms of the anomalous Pockels effect in bulk water. Opt Rev 25, 205–214 (2018). https://doi.org/10.1007/s10043-018-0407-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10043-018-0407-6

Keywords

Navigation