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Opto-electro-fluidics and tip coax conical surface plasmons

Touvia Miloh*

  • School of Mechanical Engineering, University of Tel-Aviv, Tel-Aviv 69978, Israel

  • *miloh@eng.tau.ac.il
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Phys. Rev. Fluids 1, 044105 – Published 23 August, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.044105

Abstract

The concept of electromagnetic energy enhancement and nanofocusing phenomena near the tip of a metaconical conducting tip by means of a surface plasmon-polaritons mechanism is discussed theoretically. In particular, we consider conical metallic structures with small apex angles and derive the corresponding dispersion relation under optimal (maximal field enhancement) operating conditions. It is demonstrated analytically that the aforementioned conditions can induce large dielectrophoretic forces near the conical tip, which can be harnessed for sorting and controlling nanoparticles in a manner similar to optical tweezers. Similarly, by considering Joule heating effects in the metal and heat conduction in the surrounding solute, it is shown that a considerable (dc) flow convection and mixing can be generated in the aqueous phase near the tip by such ac incited optical means (including common low-input lasers operating in the visible and near-infrared spectrum ranges). Analytic near-field expressions are also obtained for the opto-electro-thermo-induced flow and vorticity distributions in the electrolyte exhibiting a singular behavior near the rounded tip. Using a coax conical metastructure composed of two noble metals, surface-plasmon field enhancement is a technique for the optimal manipulation of dielectric and polarizable nanoparticles as well as for inducing indirect mixing in the liquid around the tip by generating microvortices.

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References (99)

  1. T. B. Jones, Electromechanics of Particles (Cambridge University Press, Cambridge, 1995).
  2. M. Born and E. Wolf, Principles of Optics (Cambridge University Press, Cambridge, 1999).
  3. H. Morgan and N. G. Green, AC Electrokinetics: Colloids and Nanoparticles (Research Studies, Philadelphia, 2003).
  4. K. Hirano, Y. Baba, Y. Matsuzawa, and A. Mizuno, Manipulation of a single coiled DNA molecules by laser clustering of microparticles, Appl. Phys. Lett. 80, 515 (2002).
  5. G. V. Soni, F. M. Hameed, T. Roopa, and G. V. Shivashankar, Development of an optical tweezer combined with micromanipulation for DNA and protein nanobioscience, Current Sci. 83, 1464 (2002).
  6. R. T. Dame, Single-molecule micromanipulation studies of DNA and architectural proteins, Biochem. Soc. Trans. 36, 732 (2008).
  7. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, Cambridge, 2006).
  8. A. Ashkin, Acceleration and Trapping of Particles by Radiation Pressure, Phys. Rev. Lett. 24, 156 (1970).
  9. D. K. Gramotnev, Adiabatic nano-focusing of plasmons by sharp metallic grooves: Geometrical optical approach, J. Appl. Phys. 98, 104302 (2005).
  10. F. De Angelis, G. Das, P. Candelaro et al., Nanoscale chemical mapping using three-dimensional adiabatic compression of surface plasmon polaritons, Nat. Nanotechnol. 5, 67 (2010).
  11. D. K. Gramotnev and S. I. Bozhevolnyi, Plasmonic beyond the diffraction limit, Nat. Photon. 4, 83 (2010).
  12. A. Petrin, Nano focusing of surface plasmon polaritons by the tapered metallic plasmonic waveguide: Optical angle near the apex, J. Nanoelectron. Optoelectron. 5, 55 (2010).
  13. D. K. Gramotnev and S. I. Bozhevolnyi, Nano-focusing of electromagnetic radiation, Nat. Photon. 8, 13 (2014).
  14. H. Raether, Surface Plasmons on Smooth and Rough Surfaces on Grantings (Springer, New York, 1988).
  15. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, New York, 2007).
  16. V. Klimov, Nanoplasmonics (CRC, Boca Raton, 2014).
  17. P. B. Johnson and R. W. Christy, Optical constants of noble metals, Phys. Rev. B 6, 4370 (1972).
  18. O. Schnitzer, Singular perturbation approach to localized surface-plasmon resonance: Nearly touching metal nanospheres, Phys. Rev. B 92, 235428 (2015).
  19. A. Moussiaux, A. Ronveaux, and A. Lucas, Surface plasmon oscillations for different geometrical shapes, Can. J. Phys. 55, 1423 (1977).
  20. A. J. Babadjanyan, N. L. Margaryan, and K. V. Nerkarayan, Super focusing of surface polaritons in the conical structure, J. Appl. Phys. 87, 3785 (2000).
  21. M. Ideman, Confluent tip singularity of the electromagnetic field at the apex of a material cone, Wave Motion 38, 251 (2003).
  22. M. I. Stockman, Nanofocusing of Optical Energy in Tapered Plasmonic Waveguides, Phys. Rev. Lett. 93, 137404 (2004).
  23. R. Rupin, Effect of non-locality on nanofocusing of surface plasmon field intensity in a conical tip, Phys. Lett. A 340, 299 (2005).
  24. A. Pessian and R. H. Ritchie, Curvature effects in surface plasmon dispersion and coupling, Phys. Rev. B 71, 115425 (2005).
  25. K. Kurihara, A. Otomo, A. Syouj, J. Takahara, K. Suzuki, and S. Yokahama, Superfocusing modes of surface plasmonic polaritons in a conical geometry based on the quasi-separation of variables approach, J. Phys. A: Math. Theor. 40, 12479 (2007).
  26. M. W. Vogel and R. Gramotnev, Adiabatic nano-focusing of plasmons by metallic tapered rods in the presence of dissipation, Phys. Lett. A 363, 507 (2007).
  27. N. A. Isaa and R. Guckenberger, Optical nanofocusing on tapered metallic waveguides, Plasmonics 2, 31 (2007).
  28. D. K. Gramotnev, M. W. Vogel, and M. I. Stockman, Optimized nanofocusing of plasmons by tapered metal rods, J. Appl. Phys. 104, 034311 (2008).
  29. K. V. Nerkarayan, A. A. Hakhoumian, and A. E. Babayan, Terahertz surface plasmon-polariton superfocusing in coaxial cone semiconductor structures, Plasmonics 3, 27 (2008).
  30. A. Yanai and U. Levy, Plasmonic focusing with a coaxial structure illuminated by radially polarized light, Opt. Express 17, 924 (2009).
  31. M. W. Vogel and D. K. Gramotnev, Shape effects in a tapered metal rods during adiabatic nanofocusing of plasmonics, J. Appl. Phys. 107, 044303 (2010).
  32. A. Rusina, M. Durach, K. A. Nelson, and M. I. Stockman, in Plasmonics: Metallic Nanostructures and their Optical Properties VIII, edited by M. I. Stockman, SPIE Proc. Vol. 77571 (SPIE, Bellingham, 2010).
  33. Y. Wang, F. Plouraboue, and H.-C. Chang, Broadband converging plasmon resonance of a conical nano tip, Opt. Express 21, 6609 (2013).
  34. P. Domachuk, C. Grillet, V. Ta'eed et al., Microfluidic interferometer, Appl. Phys. Lett. 86, 024103 (2005).
  35. D. Psaltis and S. R. Quake, Developing optofluidic technology through the fusion of microfluidics and optics, Nature (London) 442, 381 (2006).
  36. X. Mao, Z. Stratton, A. A. Nawaz et al., Optofluidic tunable micro lens by manipulating the liquid meniscus using a flared microfluidic structure, Biomicrofluidics 4, 043007 (2010).
  37. Y. Yang, A. Q. Liu, L. K. Chin et al., Optofuidic waveguide as a transformation optic device to light wave bending and manipulations, Nat. Commun. 3, 651 (2012).
  38. Y. Zhao, Z. Stratton, F. Guo et al., Optofluidic imaging: Now and beyond, Lab Chip 13, 17 (2013).
  39. M. Wang, C. Zhao, X. Miao et al., Plasmonofluidics: Merging light and fluids at the micro-/nanoscale, Small 11, 4423 (2015).
  40. A. Jonas and P. Zemanek, Light at work: The use of optical forces for particle manipulation, sorting and analysis, Electrophoresis 29, 4813 (2008).
  41. S. Abalde-Cela, C. Abell, Alvarez-R. A. Puebla, and L. M. Liz-Marzan, Real time dual channel multiplex SERS ultra-detection, J. Phys. Chem. Lett. 5, 73 (2014).
  42. G. Yossifon, I. Frankel, and T. Miloh, On electro-osmotic flows through microchannel junctions, Phys. Fluids 18, 117108 (2006).
  43. X. Miao, B. K. Wilson, and L. Y. Lin, Localized surface plasmon assisted microfluidic mixing, J. Appl. Phys. Lett. 92, 124108 (2008).
  44. Y. Eckstein, G. Yossifon, A. Seifert, and T. Miloh, Nonlinear electrokinetic phenomena around nearly insulated sharp tips in microflows, J. Colloid Interface Sci. 338, 243 (2009).
  45. Y. Wang, X. Cheng, and H.-C. Chang, Celebrating singularities: Mathematics and chemical engineering, Am. Inst. Chem. Eng. J. 59, 1830 (2013).
  46. L. Robin, Fonctions Sphériques de Legendre et Fonctions Sphéroïdales (Gauthier-Villars, Paris, 1959).
  47. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1965).
  48. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  49. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, 1973).
  50. T. Miloh, Conical potential flow about bodies of revolution, Q. J. Mech. Appl. Math. 29, 35 (1976).
  51. J. A. Stratton, Electromagnetic Theory (McGraw Hill, New York, 1941).
  52. Y. Kawata, C. Xu, and W. Deng, Feasibility of molecular-resolution fluorescence near-field microscopy using multi-photon absorption and field enhancement near a sharp tip, J. Appl. Phys. 85, 1294 (1999).
  53. H. A. Stone, J. R. Lister, and M. P. Brenner, Drops with conical ends in electric and magnetic fields, Proc. R. Soc. London A 455, 329 (1999).
  54. E. Demekhin, S. Polyanskikh, and A. Ramos, Taylor cones in a leaky dielectric liquid under an AC electric field, Phys. Rev. E 84, 035301(R) (2011).
  55. E. D. Palik, Handbook of Optical Constants of Solids (Elsevier, Amsterdam, 1997).
  56. M. A. Ordal, L. L. Long, S. E. Bell, R. R. Bell, R. W. Bell, and C. A. Word, Optical properties of metals in the infrared and far-infrared, Appl. Opt. 22, 1099 (1983).
  57. A. L. Yarin, E. Zussman, J. H. Wendorf, and A. Greiner, Material encapsulation and transport to core-shell micro/nanofibers, polymers and carbon nanotubes and micro/nanochannels, J. Mater. Chem. 17, 2585 (2007).
  58. G. Mie, Beitrage zur optik truber medien speziell kolloidaler metallosungen, Ann. Phys. (Leipzig) 330, 377 (1908).
  59. 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. 11, 288 (1986).
  60. L. Novotny, R. X. Bian, and X. S. Xie, Theory of Nanometer Optical Tweezers, Phys. Rev. Lett. 79, 645 (1997).
  61. G. Volpe, R. Quidant, G. Badenes, and D. Petrov, Surface Plasmon Radiation Forces, Phys. Rev. Lett. 96, 238101 (2006).
  62. E. Feigenbaum and M. Orenstein, Nano plasmon polariton modes of a wedge cross section metal waveguide, Opt. Express 14, 8779 (2006).
  63. M. Righini, P. Ghenuche, S. Cherukulappurath, V. Myroshnychenko, F. J. García de Abajo, and R. Quidant, Nano-optical trapping of Rayleigh particles and Escherichia coli bacteria with resonant optical antennas, Nano Lett. 9, 3387 (2009).
  64. M. L. Juan, M. Righini, and R. Quidant, Plasmon nano-optical tweezers, Nat. Photon. 5, 349 (2011).
  65. Y. Li, L. Xu, and B. Li, Gold nanorod-induced localized surface plasmon for microparticle aggregation, Appl. Phys. Lett. 101, 053118 (2012).
  66. R. Kotb, M. E. Maklizi, Y. Ismail, and M. A. Swillam, Optical trapping and manipulations of nanoparticles using meta plasmonic structure, J. Opt. 18, 015002 (2015).
  67. M. I. Petrov, S. V. Sukhov, A. B. Bogdanov, A. S. Shalin, and A. Dogariu, Surface plasmon polaritons assisted optical pulling force, Laser Photon. Rev. 10, 116 (2016).
  68. T. M. Squires and M. Z. Bazant, Induced-charge electro-osmosis, J. Fluid Mech. 509, 217 (2004).
  69. A. Ramos, H. Morgan, N. G. Green, and A. Castellanos, AC electrokinetics: A review of forces in microelectrodes structures, J. Phys. D 31, 2338 (1998).
  70. H. Green, A. Ramos, and N. G. Green, AC electrokinetics: A survey of sub-micrometer particle dynamics, J. Phys. D 33, 632 (2000).
  71. G. Baffou, R. Quidant, and C. Girard, Heat generation in plasmonic nanostructures: Influence of morphology, App. Phys. Lett. 94, 153109 (2009).
  72. G. Baffou, R. Quidant, and F. J. García de Abajo, Nanoscale control of optimal heating in complex plasmonic systems, ACS Nano 4, 709 (2010).
  73. J. S. Donner, G. Baffou, D. McCloskey, and R. Quidant, Plasmon-assisted optofluidics, ACS Nano 5, 5457 (2011).
  74. G. Baffou and R. Quidant, Thermo-plasmonics: Using metallic nanostructures as nano sources of heat, Laser Photon. Rev. 7, 171 (2013).
  75. O. Blum and N. T. Shaked, Prediction of photo-thermal phase signatures from arbitrary plasmonic nanoparticles and experimental verification, Nat. Light: Sci. Appl. 4, 1038 (2015).
  76. M. Enders, S. Mukai, T. Uwada, and S. Hashimoto, Plasmonic nanofabrication through optical heating, J. Phys. Chem. C 120, 6723 (2016).
  77. S. Berwerger, J. M. Atkin, R. L. Olmon, and M. B. Raschke, Light on the tip of a needle: Plasmonic nanofocusing for spectroscopy on a nanoscale, Phys. Chem. Lett. 3, 945 (2012).
  78. C. Huber, A. Trugler, U. Hohenester, Y. Prior, and W. Kautek, Optical near-field excitation at commercial scanning probe microscopy tips: A theoretical and experimental investigation, Phys. Chem. Chem. Phys. 16, 2289 (2014).
  79. P. I. Geshev, S. Klein, and K. Dickmann, Calculations of the temperature and thermal expansion of a STM tip heated by a short laser pulse, Appl. Phys. B 76, 313 (2003).
  80. M. Stahelin, M. A. Bopp, A. Tarrach, A. J. Meixner, and I. Zschokko-Granacher, Temperature profile of fiber tip used in scanning near field optical microscopy, Appl. Phys. Lett. 68, 2603 (1996).
  81. P. Solana, P. Kapadia, and J. Dowden, A mathematical analysis of heating effect and electrode erosion in conical electrical arc cathodes, J. Phys. D 31, 3446 (1998).
  82. R. Kodoma, H. Azechi, H. Fujita et al., Fast plasmon heating in a cone-attached geometry toward fusion ignition, Nucl. Fusion 44, 5276 (2004).
  83. X. Chen and X. Wang, Near-field thermal transport in a nanotip under laser radiation, Nanotechnology 22, 075204 (2011).
  84. J. Mihaljevic, S. Slama, R. Ropke, and A. J. Meixner, Geometric tailoring of plasmonic nanotips for atom traps, Phys. Rev. A 90, 013421 (2014).
  85. A. O. Govorov and H. H. Richardson, Generating heat with metal nanoparticles, Nano Today 2, 31 (2007).
  86. H. H. Richardson, M. T. Carlson, P. J. Tandler et al., Experimental and theoretical studies of light-to-heat conversion and collective heating effects in metal nanoparticle solution, Nano Lett. 9, 1139 (2009).
  87. B. J. Roxworthy, A. M. Bhuiya, S. P. Vanka, and K. C. Toussaint, Jr., Understanding and controlling plasmon-induced convection, Nat. Commun. 5, 3173 (2014).
  88. J. M. Crowley, Role of Joule heating in the electrostatic spraying of liquids, J. Appl. Phys. 48, 145 (1977).
  89. M. N. Ozisik, Heat Transfer: A Basic Approach (McGraw-Hill, New York, 1985).
  90. R. Muki and E. Sterenberg, Steady-state heat conduction in a circular cone, Z. Angew. Math. Phys. 9, 306 (1960).
  91. M. Pichaud, A. Muller, and M. Drechsler, Temperature distribution along metal tips, Surf. Sci. 26, 14 (1971).
  92. V. Gerester, A. Thon, and W. Pfeiffer, Thermal effects in pulsed laser assisted scanning tunneling microscopy, J. Appl. Phys. 87, 2574 (2000).
  93. J. Happel and H. Brenner, Low Reynolds-Number Hydrodynamics (Nijhof, The Hague, 1983).
  94. E. Yariv and T. Miloh, Electro-convection about conducting particles, J. Fluid Mech. 595, 163 (2008).
  95. A. Mizuno, M. Nishioka, Y. Ohno, and L. D. Dascalescu, Liquid micro vortices generated around a laser focal point in an intense high frequency electric field, IEEE. Ind. Appl. 31, 464 (1995).
  96. A. Kumar, S. J. Williams, and S. T. Wereley, Experiments on opto-electrically generated microfluidic vortices, Microfluid. Nanofluid. 6, 637 (2007).
  97. C. Park and S. T. Wereley, Rapid generation and manipulation of microfluidic vortex flow induced by AC electrokinetics with optical illumination, Lab Chip 13, 1280 (2013).
  98. R. C. Ackerberg, The viscous incompressible flow inside a cone, J. Fluid Mech. 21, 47 (1965).
  99. E. W. Schwiderski, H. J. Lugt, and P. Ugincius, Axisymmetric viscous fluid motion around conical surfaces, J. SIAM Appl. Math. 14, 191 (1966).

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Phys. Rev. Fluids 1, 044105– Published 23 August, 2016
  • Received 20 January 2016

©2016 American Physical Society

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