Dilation of nanonatennas induced by an electromagnetic source

Dominique Barchiesi, Eric Kremer, Abel Cherouat, Thomas Grosges, Houman Borouchaki

Abstract


The illumination of plasmonic mesostructures produces high confinement of light in their vicinity. This confinement of light can be enhanced in the gap between the two metallic nanorods of a nanonantenna, in particular for the design of biosensors. The nanometric gap can be reduced if the elevation of temperature of the nanonantenna is sufficient, and therefore the fine tuning of the sensor requires the description of the photo-thermal induced dilation. The multiphysics problem associated to such photo-thermal and mechanical effects is modeled through a Finite Element Method (FEM). The problem consists in computing the electromagnetic field, the temperature and the induced dilation surface. This contribution consists in discussing the numerical efficiencies of a sequential, and a coupled approaches, especially in terms of adaptive meshing of the space of computation. The relationship between the field enhancement and the reduction of the gap is studied. Finally the validity of the 2D multiphysic model is discussed.

Keywords


nanoantenna; temperature; photo-induced dilation

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References


A. Ambrosioa, M. Allegrini, G. Latini, and F. Cacialli, "Thermal processes in metal-coated fiber probes for near-field experiments," Appl. Phys. Lett., vol. 86, p. 203109, 2005.
[CrossRef]


A. Kittel, W. Muller-Hirsch, J. Parisi, S. Biehs, and D. Reddig, "Near-field heat transfer in a scanning thermal microscope," Phys. Rev. Lett., vol. 95, p. 224301, 2005.
[CrossRef]


P. Gucciardi, S. Parane, A. Ambrosio, M. Allegrini, A. Downes, G. Latini, O. Fenwick, and F. Cacialli, "Observation of tip-to-sample heat transfer in near-field optical microscopy using metal-coated fiber probes," Appl. Phys. Lett., vol. 86, p. 203109, 2005.
[CrossRef]


C. Baffou, M. Kreuzer, F. Kulzer, and R. Quidant, "Temperature mapping near plasmonic nansotructures using fluorescence polarization anistropy," Opt. Express, vol. 17, no. 5, pp. 3291–3298, 2009.
[CrossRef]

A. L. Rosa, B. Yakobson, and H. Hallena, "Origins and effects of thermal processes on near-field optical probes," Appl. Phys. Lett., vol. 67, no. 18, pp. 2597–2599, 1995.
[CrossRef]


J. Wang, Z. Shen, B. Xu, X. Ni, J. Guan, and J. Lu, "Simulation on thermoelastic stress field and laser ultrasound waveform in non-metallic materials by using fem," Appl. Phys. A, vol. 84, pp. 301–307, 2006.
[CrossRef]


P. Gucciardi, M. Colloci, M. Labardi, and M. Allegrini, "Thermal-expansion effects in near-field optical microscopy fiber probes induced by laser light absorption," Appl. Phys. Lett., vol. 75, pp. 3408–3410, 1999.
[CrossRef]


A. H. L. Rosa and H. D. Hallen, "Compact method for optical induction of proximal probe heating and elongation," Appl. Opt., vol. 41, pp. 2015–2019, 2002.
[CrossRef]


T. Grosges, S. Petit, D. Barchiesi, and S. Hudlet, "Numerical modeling of the subwavelength phase-change recording using an apertureless scanning near-field optical microscope," Opt. Express, vol. 12, pp. 5987–5995, 2004.
[CrossRef]


T. Pagnot, D. Barchiesi, D. van Labeke, and C. Pieralli, "Use of SNOM architecture to study fluorescence and energy transfer near a metal," Opt. Lett., vol. 22, no. 2, pp. 120–122, 1997.
[CrossRef]


G. Parent, D. Van Labeke, and D. Barchiesi, "Fluorescence lifetime of a molecule near a corrugated interface. application to near-field microscopy," J. Opt. Soc. Am. A, vol. 16, pp. 896–908, 1999.
[CrossRef]


J.-S. Huang, J. Kern, P. Geisler, P. Weinmann, M. Kamp, A. Forchel, P. Biagioni, and B. Hecht, "Mode imaging and selection in strongly coupled nanoantennas," NanoLetters, vol. 10, no. 6, pp. 2105– 2110, 2010.
[CrossRef]

H. Fischer and O. J. F. Martin, "Engineering the optical response of plasmonic nanoantennas," Opt. Express, vol. 16, no. 12, pp. 9144–9154, 2008.
[CrossRef]


L. Yang, C. Du, and X. Luo, "Numerical study of optical properties of single silver nanobowtie with anisotropic topology," Appl. Phys. B, vol. 92, pp. 53–59, 2008.
[CrossRef]

N. Guillot,, H. Shen, B. Fremaux, O. Peron, E. Rinnert, T. Toury, and M. Lamy de la Chapelle, "Surface enhanced Raman scattering optimization of gold nanocylinder arrays: Influence of the localized surface plasmon resonance and excitation wavelength," Appl. Phys. Lett., vol. 97, no. 2, pp. 023 113–023 116,, 2010.

P. Guillemet and J. P. Bardon, "Conduction de la chaleur aux temps courts : les limites spatiotemporelles des mod`eles parabolique et hyperbolique," Int. J. Therm. Sci., vol. 39, pp. 968–982, 2000.
[CrossRef]

R. Bachelot, A. Fares, R. Fikri, D. Barchiesi, G. Lerondel, and P. Royer, "Coupling semiconductor lasers into single-mode optical fibers by use of tips grown by photopolymerization," Optics Letters, vol. 29, no. 17, pp. 1971–1973, 2004.
[CrossRef]

T. Pagnot, D. Barchiesi, D. V. Labeke, and C. Pieralli, "Use of a SNOM architecture to study fluorescence and energy transfer near a metal," Opt. Lett., vol. 22, pp. 120–122, 1997.
[CrossRef]


H. Borouchaki, T. Grosges, and D. Barchiesi, "Improved 3d adaptive remeshing scheme applied in high electromagnetic field gradient computation," Finite Elements in Analysis and Design, vol. 46, no. 1–2, pp. 84–95, 2010.
[CrossRef]


T. Grosges, H. Borouchaki, and D. Barchiesi, "Three dimensional adaptive meshing scheme applied to the control of the spatial representation of complex field pattern in electromagnetics," Appl. Phys. B - Lasers Opt., vol. 101, pp. 883–889, 2010.

J. Jin, The Finite Element Method in Electromagnetics. New York: John Wiley and Sons, 1993.

G. P. Agrawal and D. N. Pattanayak, "Gaussian beam propagation beyond the paraxial approximation," J. Opt. Soc. Am., vol. 69, no. 4, pp. 575–578, 1979.
[CrossRef]

D. Barchiesi, T. Grosges, E. Kremer, and M. Lamy de la Chapelle, "Electromagnetic heat-induced in mesostructures: Computation of temperature in metallic dimers," PIERS Online, vol. 7, no. 5, pp. 406–410, 2011.

D. Kazantseva, G. Guttroff, M. Bayer, and A. Forche, "Sample temperature measurement in a scanning near-field optical microscope," Appl. Phys. Lett., vol. 72, no. 6, pp. 689–691, 1998.
[CrossRef]

Y. S. Ju, "Impact of nonequilibrium between electrons and phonons on heat transferin metallic nanoparticles suspended in dielectric media," J. Heat Transfer, vol. 127, no. 12, pp. 1400–1402, 2005.
[CrossRef]

P. E. Hopkins, P. M. Norris, L. M. Phinney, S. A. Policastro, and R. G. Kelly, "Thermal conductivity in nanoporous gold films during electron-phonon nonequilibrium," J. Nanomaterials, vol. 2008, pp. 418 050–1–7, 2008.

R. F. Remis, "An effective inversion method based on the pade via lanczos process," in Progress In Electromagnetics Research Symposium, Cambridge, USA, March 2006, pp. 206–209.

P. Vinsome, "Orthomin, an iterative method for solving sparse sets of simultaneous linear equations," in SPE Symposium on Numerical Simulation of Reservoir Performance. Los Angeles, California, USA: Society of Petroleum Engineers, February 1976, pp. 5729–MS 1–11.
[CrossRef]

T. Grosges, H. Borouchaki, and D. Barchiesi, "Improved scheme for accurate computation of high electric near-field gradients," Opt. Express, vol. 15, no. 3, pp. 1307–1321, 2007.
[CrossRef]


A. Madrazo, R. Carminati, M. Nieto-Vesperinas, and J.-J. Greffet, "Polarization effects in the optical interaction between a nanoparticle and a corrugated surface: Implications for apertureless near-field microscopy," J. Opt. Soc. Am. A, vol. 15, no. 1, pp. 109–119, 1998.
[CrossRef]


R. Bachelot, F. HDhili, D. Barchiesi, G. Lerondel, R. Fikri, P. Royer, N. Landraud, J. Peretti, F. Chaput, G. Lampel, J.-P. Boilot, and K. Lahlil, "Apertureless near-field optical microscopy: A study of the local tip field enhancement using photosensitive azobenzenecontaining films," Journal of Applied Physics, vol. 94, no. 3, pp. 2060–2072, 2003.
[CrossRef]

T. Grosges, D. Barchiesi, T. Toury, and G. Grehan, "Design of nanostructures for imaging and biomedical applications by plasmonic optimization," Opt. Lett., vol. 33, no. 23, pp. 2812–2814, 2008.
[CrossRef]

S. Kessentini and D. Barchiesi, "A new strategy to improve particle swarm optimization exploration ability," in Intelligent Systems (GCIS), 2010 Second WRI Global Congress on, vol. 1. IEEE, 2010, pp. 27 – 30.

D. Mac’ıas, A. Vial, and D. Barchiesi, "Application of evolution strategies for the solution of an inverse problem in Near-Field Optics," J. Opt. Soc. Am. A, vol. 21, no. 8, pp. 1465–1471, 2004.
[CrossRef]


C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles. New York: John Wiley & Sons, Inc., 1998.
[CrossRef]


T. Laroche, A. Vial, and M. Roussey, "Crystalline structure’s influence on the near-field optical properties of single plasmonic nanowires," Appl. Phys. Lett., vol. 91, pp. 123 101–1–123 101–3, 2007.

D. Barchiesi, D. S. Kessentini, and T. Grosges, "Sensitivity analysis for designing active particles in photothermal cancer therapy," in Advances in Safety, Reliability and Risk Management, C. B’erenguer and A. Grall, Eds. London: Taylor & Francis, 2011, pp. 2197–2204.
[CrossRef]

T. Grosges, D. Barchiesi, S. Kessentini, G. Grehan, and M. Lamy de la Chapelle, "Nanoshells for photothermal therapy: A monte-carlo based numerical study of their design tolerance," Biomedical Optics Express, vol. 2, no. 6, pp. 1584–1596, 2011.
[CrossRef]


D. Barchiesi, N. Lidgi-Guigui, and M. Lamy de la Chapelle, "Functionalization layer influence on the sensitivity of surface plasmon resonance (SPR) biosensor," Optics Communications, vol. 285, no. 6, pp. 1619–1623, 2012.
[CrossRef]


D. Barchiesi, "Numerical retrieval of thin aluminium layer properties from SPR experimental data," Opt. Express, vol. 20, no. 8, pp. 9064–9078, 2012.
[CrossRef]




DOI: http://dx.doi.org/10.7716/aem.v1i2.31

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