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105. J. Dadap, J. Shan, T. Heinz, Theory of optical second-harmonic generation from a sphere of
centrosymmetric material: small-particle limit. J. Opt. Soc. Am. B 21, 1328–1347 (2004)
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108. J. Xu, X. Zhang, Second harmonic generation in three-dimensional structures based on homogeneous centrosymmetric metallic spheres. Opt. Express 20, 1668–1684 (2012)
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110. C.G. Biris, N.C. Panoiu, Second harmonic generation in metamaterials based on homogeneous
centrosymmetric nanowires. Phys. Rev. B 81, 195102 (2010)
111. A.G.F. de Beer, S. Roke, J.I. Dadap, Theory of optical second-harmonic and sum-frequency
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113. W. Nakagawa, R.-C. Tyan, Y. Fainman, Analysis of enhanced second-harmonic generation
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114. B. Bai, J. Turunen, Fourier modal method for the analysis of second-harmonic generation in
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115. S.I. Bozhevolnyi, V.Z. Lozovski, Self-consistent model for second-harmonic near-field microscopy. Phys. Rev. B 61, 11139–11150 (2000)
116. A. Benedetti, M. Centini, C. Sibilia, M. Bertolotti, Engineering the second harmonic generation pattern from coupled gold nanowires. J. Opt. Soc. Am. B 27, 408–416 (2010)
117. M. Centini, A. Benedetti, C. Sibilia, M. Bertolotti, Coupled 2D Ag nano-resonator chains
for enhanced and spatially tailored second harmonic generation. Opt. Express 19, 8218–8232
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118. J. Mäkitalo, S. Suuriniemi, M. Kauranen, Boundary element method for surface nonlinear
optics of nanoparticles. Opt. Express 19, 23386–23399 (2011)
119. J. Aizpurua, P. Hanarp, D.S. Sutherland, M. Käll, G.W. Bryant, F. Garcia de Abajo, Optical
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120. G.W. Bryant, F.J. Garcia de Abajo, J. Aizpurua, Mapping the plasmon resonances of metallic
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121. A.M. Kern, O.J.F. Martin, Surface integral formulation for 3D simulations of plasmonic and
high permittivity nanostructures. J. Opt. Soc. Am. A 26, 732–740 (2009)
122. B. Gallinet, A.M. Kern, O.J.F. Martin, Accurate and versatile modeling of electromagnetic
scattering on periodic nanostructures with a surface integral approach. J. Opt. Soc. Am. A 27,
2261–2271 (2010)
123. J.A. Stratton, Electromagnetic Theory, 1st edn. (McGraw-Hill, New York, 1941)
124. S. Rao, D. Wilton, A. Glisson, Electromagnetic scattering by surfaces of arbitrary shape. IEEE
Trans. Ant. Propag. 30, 409–418 (1982)
125. R.F. Harrington, Field Computation by Moment Methods (Wiley-IEEE Press, New York,
1993)
126. G. Valerio, P. Baccarelli, P. Burghignoli, A. Galli, Comparative analysis of acceleration techniques for 2-D and 3-D Green’s functions in periodic structures along one and two directions.
IEEE Trans. Ant. Propag. 55, 1630–1643 (2007)
127. R. Coifman, V. Rokhlin, S. Wandzura, The fast multipole method for the wave equation: A
pedestrian prescription. IEEE Ant. Propag. Mag. 35, 7–12 (1993)
128. M. Bebendorf, Approximation of boundary element matrices. Numerische Mathematik 86,
565–589 (2000)
M. Kauranen et al.
104. J. Dewitz, W. Hübner, K. Bennemann, Theory for nonlinear Mie-scattering from spherical
metal clusters. Zeits. Phys. D Atoms, Mol. Clusters 37, 75–84 (1996)
105. J. Dadap, J. Shan, T. Heinz, Theory of optical second-harmonic generation from a sphere of
centrosymmetric material: small-particle limit. J. Opt. Soc. Am. B 21, 1328–1347 (2004)
106. Y. Pavlyukh, W. Hübner, Nonlinear Mie scattering from spherical particles. Phys. Rev. B 70,
245434 (2004)
107. A.G.F. de Beer, S. Roke, Nonlinear Mie theory for second-harmonic and sum-frequency
scattering. Phys. Rev. B 79, 155420 (2009)
108. J. Xu, X. Zhang, Second harmonic generation in three-dimensional structures based on homogeneous centrosymmetric metallic spheres. Opt. Express 20, 1668–1684 (2012)
109. E. Centeno, D. Felbacq, Second-harmonic emission in two-dimensional photonic crystals. J.
Opt. Soc. Am. B 23, 2257–2264 (2006)
110. C.G. Biris, N.C. Panoiu, Second harmonic generation in metamaterials based on homogeneous
centrosymmetric nanowires. Phys. Rev. B 81, 195102 (2010)
111. A.G.F. de Beer, S. Roke, J.I. Dadap, Theory of optical second-harmonic and sum-frequency
scattering from arbitrarily shaped particles. J. Opt. Soc. Am. B 28, 1374–1384 (2011)
112. W.L. Schaich, Second harmonic generation by periodically-structured metal surfaces. Phys.
Rev. B 78, 195416 (2008)
113. W. Nakagawa, R.-C. Tyan, Y. Fainman, Analysis of enhanced second-harmonic generation
in periodic nanostructures using modified rigorous coupled-wave analysis in the undepletedpump approximation. J. Opt. Soc. Am. A 19, 1919–1928 (2002)
114. B. Bai, J. Turunen, Fourier modal method for the analysis of second-harmonic generation in
two-dimensionally periodic structures containing anisotropic materials. J. Opt. Soc. Am. B
24, 1105–1112 (2007)
115. S.I. Bozhevolnyi, V.Z. Lozovski, Self-consistent model for second-harmonic near-field microscopy. Phys. Rev. B 61, 11139–11150 (2000)
116. A. Benedetti, M. Centini, C. Sibilia, M. Bertolotti, Engineering the second harmonic generation pattern from coupled gold nanowires. J. Opt. Soc. Am. B 27, 408–416 (2010)
117. M. Centini, A. Benedetti, C. Sibilia, M. Bertolotti, Coupled 2D Ag nano-resonator chains
for enhanced and spatially tailored second harmonic generation. Opt. Express 19, 8218–8232
(2011)
118. J. Mäkitalo, S. Suuriniemi, M. Kauranen, Boundary element method for surface nonlinear
optics of nanoparticles. Opt. Express 19, 23386–23399 (2011)
119. J. Aizpurua, P. Hanarp, D.S. Sutherland, M. Käll, G.W. Bryant, F. Garcia de Abajo, Optical
properties of gold nanorings. J. Phys. Rev. Lett. 90, 057401 (2003)
120. G.W. Bryant, F.J. Garcia de Abajo, J. Aizpurua, Mapping the plasmon resonances of metallic
nanoantennas. Nano Lett. 8, 631–636 (2008)
121. A.M. Kern, O.J.F. Martin, Surface integral formulation for 3D simulations of plasmonic and
high permittivity nanostructures. J. Opt. Soc. Am. A 26, 732–740 (2009)
122. B. Gallinet, A.M. Kern, O.J.F. Martin, Accurate and versatile modeling of electromagnetic
scattering on periodic nanostructures with a surface integral approach. J. Opt. Soc. Am. A 27,
2261–2271 (2010)
123. J.A. Stratton, Electromagnetic Theory, 1st edn. (McGraw-Hill, New York, 1941)
124. S. Rao, D. Wilton, A. Glisson, Electromagnetic scattering by surfaces of arbitrary shape. IEEE
Trans. Ant. Propag. 30, 409–418 (1982)
125. R.F. Harrington, Field Computation by Moment Methods (Wiley-IEEE Press, New York,
1993)
126. G. Valerio, P. Baccarelli, P. Burghignoli, A. Galli, Comparative analysis of acceleration techniques for 2-D and 3-D Green’s functions in periodic structures along one and two directions.
IEEE Trans. Ant. Propag. 55, 1630–1643 (2007)
127. R. Coifman, V. Rokhlin, S. Wandzura, The fast multipole method for the wave equation: A
pedestrian prescription. IEEE Ant. Propag. Mag. 35, 7–12 (1993)
128. M. Bebendorf, Approximation of boundary element matrices. Numerische Mathematik 86,
565–589 (2000)