MLFMA-MoM for solving the scattering of densely packed plasmonic nanoparticle assemblies

IEEE Photonics Journal

Volumn 7, Issue 3, 2015, Pages

  Solis D M ^a   Araujo M G ^a   Landesa, L ^b   Garcia S ^c   Taboada, J M ^b   Obelleiro, F ^a  

^a UNIVERSITY OF VIGO   (Spain)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c Cmdr Spanish Navy   (Spain)

Author keywords

colloidal systems; integral equations; Plasmonics; Raman spectroscopy

Indexed keywords

ITERATIVE METHODS; METHOD OF MOMENTS; NANOPARTICLES; PLASMONS; RAMAN SPECTROSCOPY;

BIOSENSING APPLICATIONS; COLLOIDAL SYSTEM; METHOD OF MOMENTS (MOM); MULTI LEVEL FAST MULTIPOLE ALGORITHMS (MLFMA); PARTICLE ASSEMBLIES; PLASMONIC NANOPARTICLE; PLASMONICS; SURFACE INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS;

EID: 84929095455     PISSN: 19430655     EISSN: None     Source Type: Journal    
DOI: 10.1109/JPHOT.2015.2423283     Document Type: Article

References (43)

1. D. K. Gramotnev and S. I. Bozhevolnyi, "Plasmonics beyond the diffraction limit," Nat. Photon., vol. 4, pp. 83-91, 2010.
2. G. A. Sotiriou, "Biomedical applications of multifunctional plasmonic nanoparticles," Wires Nanomed. Nanobiotechnol., vol. 5, no. 1, pp. 19-30, Jan./Feb. 2013.
3. P. Dong, Y. Lin, J. Deng, and J. Di, "Ultrathin gold-shell coated silver nanoparticles onto a glass platform for improvement of plasmonic sensors," ACS Appl. Mater. Interfaces, vol. 5, no. 7, pp. 2392-2399, 2013.
4. J. Burgin, M. Liu, and P. Guyot-Sionnest, "Dielectric sensing with deposited gold bipyramids," J. Phys. Chem. C, vol. 112, no. 49, pp. 19 279-19 282, 2008.
5. K. L. Kelly, E. Coronado, L. L. Zhao, and G. C. Schatz, "The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment," Phys. Chem. B, vol. 107, no. 3, pp. 668-677, 2003.
6. M. Hu et al., "Gold nanostructures: Engineering their plasmonic properties for biomedical applications," Chem. Soc. Rev., vol. 35, no. 11, pp. 1084-1094, 2006.
7. I. Pastoriza-Santos, A. Sánchez-Iglesias, F. J. García de Abajo, and L. M. Liz-Marzán, "Environmental optical sensitivity of gold nanodecahedra," Adv. Funct. Mater., vol. 17, no. 9, pp. 1443-1450, Jun. 2007.
8. A. R. Tao, S. Habas, and P. Yang, "Shape control of colloidal metal nanocrystals," Small, vol. 4, no. 3, pp. 310-325, Mar. 2008.
9. H. Huang et al., "A novel label-free multi-throughput optical biosensor based on localized surface plasmon resonance," Biosensors Bioelectron., vol. 24, no. 7, pp. 2255-2259, Mar. 2009.
10. S. Barbosa et al., "Tuning size and sensing properties in colloidal gold nanostars," Langmuir, vol. 26, no. 18, pp. 14 943-14 950, 2010.
11. C. J. Heo et al., "Robust plasmonic sensors based on hybrid nanostructures with facile tunability," J. Mater. Chem., vol. 22, no. 28, pp. 13 903-13 907, 2012.
12. M. E. Stewart et al., "Nanostructured plasmonic sensors," Chem. Rev., vol. 108, no. 2, pp. 494-521, Feb. 2008.
13. M. A. Mahmoud and M. A. El-Sayed, "Substrate effect on the plasmonic sensing ability of hollow nanoparticles of different shapes," J. Phys. Chem. B, vol. 117, no. 6, pp. 4468-4477, 2013.
14. M. A. Mahmoud and M. A. El-Sayed, "Different plasmon sensing behavior of silver and gold nanorods," J. Phys. Chem. Lett., vol. 4, no. 9, pp. 1541-1545, 2013.
15. J. Lee et al., "Tailoring surface plasmons of high-density gold nanostar assemblies on metal films for surfaceenhanced Raman spectroscopy," Nanoscale, vol. 6, no. 1, pp. 616-623, Jan. 2014.
16. J.-M. Jin, The Finite Element Method in Electromagnetics. New York, NY, USA: Wiley, 2002.
17. P. Monk, Finite Element Methods for Maxwell's Equations, Numerical Mathematics and Scientific Computation. New York, NY, USA: Oxford Univ. Press, 2003.
18. [Online]. Available: http://www.lumerical.com
19. G. A. E. Vandenbosch, V. Volski, N. Verellen, and V. Moshchalkov, "On the use of the method of moments in plasmonic applications," Radio Sci., vol. 46, no. 5, Oct. 2011, Art. ID. RS0E02.
20. X. Zheng et al., "Volumetric method of moments and conceptual multilevel building blocks for nanotopologies," IEEE Photon. J., vol. 4, no. 1, pp. 267-282, Feb. 2012.
21. R. F. Harrington, Field Computation by Moment Method. Piscataway, NJ, USA: IEEE Press, 1993.
22. J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, "Surface integral equation formulation for the analysis of left-handed metamaterials," Opt. Exp., vol. 18, no. 15, pp. 15 876-15 886, Jul. 2010.
23. J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, "Method-of-moments formulation for the analysis of plasmonic nano-optical antennas," J. Opt. Soc. Amer. A, vol. 28, no. 7, pp. 1341-1348, Jul. 2011.
24. D. M. Solís, J. M. Taboada, and F. Obelleiro, "Surface integral equation method of moments with multiregion basis functions applied to plasmonics," IEEE Trans. Antennas Propag., to be published.
25. J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microw. Opt. Technol. Lett., vol. 10, no. 1, pp. 14-19, Sep. 1995.
26. J. M. Song, C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1488-1493, Oct. 1997.
27. J. M. Taboada, M. G. Araújo, F. Obelleiro, J. L. Rodríguez, and L. Landesa, "MLFMA-FFT parallel algorithm for the solution of extremely large problems in electromagnetics (Invited Paper)," Proc. IEEE, vol. 101, no. 2, pp. 350-363, Feb. 2013.
28. A. Yilmaz, B. Karaosmanogl, and Ö. Ergül, "Computational electromagnetic analysis of deformed nanowires using the multilevel fast multipole algorithm," Sci. Rep., vol. 5, 2015, Art. ID. 8469.
29. M. G. Araújo, J. M. Taboada, J. Rivero, D. M. Solís, and F. Obelleiro, "Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm," Opt. Lett., vol. 37, no. 3, pp. 416-418, Feb. 2012.
30. Ö. Ergül and L. Gürel, "Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm," J. Opt. Soc. Amer. A, vol. 30, no. 3, pp. 509-517, Mar. 2013.
31. R. F. Harrington, Time Harmonic Electromagnetic Fields. New York, NY, USA: McGraw-Hill, 1961.
32. P. Ylä-Oijala and M. Taskinen, "Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects," IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1168-1173, Mar. 2005.
33. A. Gumerov, R. Duraiswami, and E. A. Borovikov, "Data structures, optimal choice of parameters, and complexity results for generalized multilevel fast multipole methods in d dimensions," Comput. Sci. Dep., Univ. Maryland, Baltimore, MD, USA, Tech. Rep. CS-TR-4458 UMIACS; UMIACS-TR-2003-28, Apr. 2003.
34. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propag. Mag., vol. 35, no. 3, pp. 7-12, Jun. 1993.
35. Y. Saad, Iterative Methods for Sparse Linear Systems. Boston, MA, USA: PWS, 1996.
36. D. M. Solís, J. M. Taboada, F. Obelleiro, L. M. Liz-Marzán, and F. J. García de Abajo, "Toward ultimate nanoplasmonics modeling," ACS Nano, vol. 8, no. 8, pp. 7559-7570, 2014.
37. L. Sacarabelli, M. Grzelczak, and L. M. Liz-Marzán, "Tuning gold nanorod synthesis through prereduction with salicylic acid," Chem. Mater., vol. 25, no. 21, pp. 4232-4238, 2013.
38. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles. Hoboken, NJ, USA: Wiley, 1983.
39. A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering. Englewood Cliffs, NJ, USA: Prentice- Hall, 1991.
40. Y. Saad and M. Schultz, "BGMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems," SIAM J. Sci. Stat. Comput., vol. 7, no. 3, pp. 856-869, Jul. 1986.
41. M. G. Araújo et al., "Comparison of surface integral equation formulations for electromagnetic analysis of plasmonic nanoscatterers," Opt. Exp., vol. 20, no. 8, pp. 9161-9171, Apr. 2012.
42. L. Rodríguez-Lorenzo et al., "Zeptomol detection through controlled ultrasensitive surface-enhanced Raman scattering," J. Amer. Chem. Soc., vol. 131, no. 13, pp. 4616-4618, 2009.
43. H. Xu, E. J. Bjerneld, M. Käll, and L. Börjesson, "Spectroscopy of single hemoglobin molecules by surface enhanced Raman scattering," Phys. Rev. Lett., vol. 83, no. 21, pp. 4357-4360, Nov. 1999.