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Computational Plasmonics: Numerical Techniques

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Recent Trends in Computational Photonics

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 204))

Abstract

This is the second Chapter in which we give a detailed introduction into the field of computational plasmonics. While Chap. 11 covered the theoretical background of modern plasmonics, this Chapter provides describtions of the numerical methods involved in computational plasmonics. To this end we use modern ab initio methods, the standard frequency-domain and time-domain methods of computational electromagnetics. Finally we show some applications in the fields of photovoltaics and plasmonic–photonic crystals and close with a discussion of open problems.

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References

  1. E. Weinan, Principles of Multi-Scale Modeling (Cambridge University Press, Cambridge, 2011)

    MATH  Google Scholar 

  2. A. Taflove, Wave Motion 10, 547 (1988)

    Google Scholar 

  3. J. Hesthaven, T. Warburton, J. Comput. Phys. 181(1), 186 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  4. S.G. Johnson, J. Joannopoulos, Opt. Express 8(3), 173 (2001)

    Article  ADS  Google Scholar 

  5. T.A. Driscoll, B. Fornberg, SIAM Sci. Comput. 21(3), 1146 (1999)

    Article  MathSciNet  Google Scholar 

  6. P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964)

    Article  ADS  Google Scholar 

  7. W. Kohn, L.J. Sham, Phys. Rev. 140(4A), A1133 (1965)

    Article  ADS  Google Scholar 

  8. J.D. Joannopoulos, S.G. Johnson, J.N. Winn, R.D. Meade, Photonic Crystals Molding the Flow of Light, 2nd edn. (Princeton University Press, Princeton, 2008)

    MATH  Google Scholar 

  9. N. Ashcroft, N. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976)

    MATH  Google Scholar 

  10. G.D. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford University Press, Oxford, 1985)

    MATH  Google Scholar 

  11. A.F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J.D. Joannopoulos, S.G. Johnson, Comput. Phys. Commun. 181, 687 (2010)

    Google Scholar 

  12. B.K. Juluri, Scattering/extinction/absorption cross-sections of silver nanowires (infinite cylinders) using meep (2011), http://juluribk.com/2011/06/01/scattering-extinction-absorption-cross-sections-of-silver-nanowires-infinite-cylinders-using-meep/. Accessed 10 Dec 2015

  13. K.S. Yee, IEEE Trans. Antennas Propag. 14(3), 302 (1966)

    Article  ADS  Google Scholar 

  14. J.P. Berenger, J. Comput. Phys. 144(2), 185 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  15. E. Bécache, S. Fauqueux, P. Joly, J. Comput. Phys. 188(2), 399 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  16. R.G. Parr, W. Yang, Density-Functional Theory of Atoms and Molecules. International Series of Monographs on Chemistry, vol. 16 (Oxford University Press, Oxford, 1989)

    Google Scholar 

  17. F. Jensen, Introduction to Computational Chemistry (Wiley, New Jersey, 2007)

    Google Scholar 

  18. M. Born, R. Oppenheimer, Ann. Phys. 389(20), 457 (1927)

    Article  Google Scholar 

  19. J.P. Perdew, K. Schmidt, AIP Conference Proceedings, vol. 577 (AIP Publishing, New Jersey, 2001), pp. 1–20

    Book  Google Scholar 

  20. J.P. Perdew, A. Ruzsinszky, J. Tao, V.N. Staroverov, G.E. Scuseria, G.I. Csonka, The Journal of Chemical Physics 123(6), 062201 (2005)

    Article  ADS  Google Scholar 

  21. D.M. Ceperley, B.J. Alder, Phys. Rev. Lett. 45(7), 566 (1980)

    Article  ADS  Google Scholar 

  22. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77(18), 3865 (1996)

    Article  ADS  Google Scholar 

  23. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 78(7), 1396 (1997)

    Article  ADS  Google Scholar 

  24. M. Kuisma, J. Ojanen, J. Enkovaara, T.T. Rantala, Phys. Rev. B 82(11), 115106 (2010)

    Article  ADS  Google Scholar 

  25. A.D. Becke, J. Chem. Phys. 98(2), 1372 (1993)

    Article  ADS  Google Scholar 

  26. L. Hedin, Phys. Rev. 139(3A), A796 (1965)

    Article  ADS  Google Scholar 

  27. G. Onida, L. Reining, A. Rubio, Rev. Mod. Phys. 74(2), 601 (2002)

    Article  ADS  Google Scholar 

  28. E. Runge, E.K.U. Gross, Phys. Rev. Lett. 52(12), 997 (1984)

    Article  ADS  Google Scholar 

  29. S.L. Adler, Phys. Rev. 126(2), 413 (1962)

    Article  ADS  MathSciNet  Google Scholar 

  30. N. Wiser, Phys. Rev. 129(1), 62 (1963)

    Article  ADS  Google Scholar 

  31. R. Warmbier, A. Quandt, Comput. Mater. Sci. 114, 18 (2016)

    Article  Google Scholar 

  32. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G.L. Chiarotti, M. Cococcioni, I. Dabo, A.D. Corso, S.d. Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A.P. Seitsonen, A. Smogunov, P. Umari, R.M. Wentzcovitch, J. Phys. Condens. Matter 21(39), 395502 (2009)

    Google Scholar 

  33. A. Marini, C. Hogan, M. Grüning, D. Varsano, Comput. Phys. Commun. 180(8), 1392 (2009)

    Article  ADS  Google Scholar 

  34. P. Gori, M. Rakel, C. Cobet, W. Richter, N. Esser, A. Hoffmann, R. Del Sole, A. Cricenti, O. Pulci, Phys. Rev. B 81(12), 125207 (2010)

    Article  ADS  Google Scholar 

  35. P. Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic Press, San Diego, 1995)

    Google Scholar 

  36. W.L. Barnes, A. Dereux, T.W. Ebbesen, Nature 424, 824 (2003)

    Article  ADS  Google Scholar 

  37. S.A. Maier, Plasmonics: Fundamentals and Applications (Springer, New York, 2007)

    Google Scholar 

  38. L. Feng, M.H. Lu, V. Lomakin, Y. Fainman, Appl. Phys. Lett. 93(231105) (2008)

    Google Scholar 

  39. F. Mohammed, A. Quandt, Opt. Mater. 107–109 (2015)

    Google Scholar 

  40. L. Feng, X.P. Liu, Y.F. Tang, Y.F. Chen, J. Zi, S.N. Zhu, Y.Y. Zhu, Phys. Rev. B 71(195106) (2005)

    Google Scholar 

  41. I. El-Kady, M.M. Sigalas, R. Biswas, K.M. Ho, C.M. Soukoulis, Phys. Rev. B 62(15299) (2000)

    Google Scholar 

  42. R. Warmbier, G.S. Manyali, A. Quandt, Phys. Rev. B 85, 085442 (2012)

    Article  ADS  Google Scholar 

  43. C. Christopoulos, AEU - Int. J. Electron. Commun. 57(2), 100 (2003)

    Article  Google Scholar 

  44. Y. Imry, Introduction of Mesoscopic Physics (Oxford University Press, Oxford, 2002)

    Google Scholar 

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Acknowledgements

The authors would like to thank the National Institute for Theoretical Physics (NITheP), the Mandelstam Institute for Theoretical Physics (MITP), the Materials Physics Research Institute (MPRI) and the DST-NRF Centre of Excellence in Strong Materials (CoE-SM) for support. We also acknowledge additional support through a bilateral project Plasmonics for a better efficiency of solar cells between South Africa and Italy (contributo del Ministero degli Affari Esteri e della Cooperazione Internazionale, Direzione Generale per la Promozione del Sistema Paese).

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Correspondence to A. Quandt .

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Mohammed, F., Warmbier, R., Quandt, A. (2017). Computational Plasmonics: Numerical Techniques. In: Agrawal, A., Benson, T., De La Rue, R., Wurtz, G. (eds) Recent Trends in Computational Photonics. Springer Series in Optical Sciences, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-55438-9_12

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