R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

R. Diamant and M. Fernández-Guasti, “Light propagation in 1D inhomogeneous deterministic media: the effect of discontinuities,” J. Opt. A 11, 045712 (2009).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

T. Okamoto, I. Yamaguchi, and T. Kobayashi, “Local plasmon sensor with gold colloid monolayers deposited upon glass substrates,” Opt. Lett. 25, 372–374 (2000).

[CrossRef]

M. Fernández-Guasti, A. Gil-Villegas, and R. Diamant, “Ermakov Equation Arising from Electromagnetic Fields Propagating in 1D Inhomogeneous Media,” Rev. Mex. Fís. 46, 530–538 (2000).

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

V. A. Loiko, V. P. Dick, and V. I. Molochko, “Monolayers of discrete scatterers: comparison of the single-scattering and quasi-crystalline approximations,” J. Opt. Soc. Am. A 15, 2351–2354 (1998).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

J. L. Reid and J. R. Ray, “Ermakov systems, nonlinear superposition and solutions of nonlinear equations of motion,” J. Math. Phys. 21, 1583–1587 (1980).

[CrossRef]

P. S. Epstein, “Reflection of waves in an inhomogeneous absorbing medium,” Proc. Natl. Acad. Sci. USA 16, 627–637 (1930).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

A. García-Valenzuela, E. Gutiérrez-Reyes, and R. G. Barrera, “Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles,” J. Opt. Soc. Am. A 29, 1161–1179 (2012).

[CrossRef]

M. C. Peña-Gomar, J. J. F. Castillo, A. García-Valenzuela, R. G. Barrera, and E. Pérez, “Coherent optical reflectance from a monolayer of large particles adsorbed on a glass surface,” Appl. Opt. 45, 626–632 (2006).

[CrossRef]

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

M. Born and E. Wolf, Principles of Optics (Cambridge University, 2005).

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

R. Diamant and M. Fernández-Guasti, “Light propagation in 1D inhomogeneous deterministic media: the effect of discontinuities,” J. Opt. A 11, 045712 (2009).

[CrossRef]

M. Fernández-Guasti, A. Gil-Villegas, and R. Diamant, “Ermakov Equation Arising from Electromagnetic Fields Propagating in 1D Inhomogeneous Media,” Rev. Mex. Fís. 46, 530–538 (2000).

P. S. Epstein, “Reflection of waves in an inhomogeneous absorbing medium,” Proc. Natl. Acad. Sci. USA 16, 627–637 (1930).

[CrossRef]

E. Hecht Eugene, Optics (Addison Wesley, 2002).

R. Diamant and M. Fernández-Guasti, “Light propagation in 1D inhomogeneous deterministic media: the effect of discontinuities,” J. Opt. A 11, 045712 (2009).

[CrossRef]

M. Fernández-Guasti, A. Gil-Villegas, and R. Diamant, “Ermakov Equation Arising from Electromagnetic Fields Propagating in 1D Inhomogeneous Media,” Rev. Mex. Fís. 46, 530–538 (2000).

A. García-Valenzuela, E. Gutiérrez-Reyes, and R. G. Barrera, “Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles,” J. Opt. Soc. Am. A 29, 1161–1179 (2012).

[CrossRef]

M. C. Peña-Gomar, J. J. F. Castillo, A. García-Valenzuela, R. G. Barrera, and E. Pérez, “Coherent optical reflectance from a monolayer of large particles adsorbed on a glass surface,” Appl. Opt. 45, 626–632 (2006).

[CrossRef]

M. Fernández-Guasti, A. Gil-Villegas, and R. Diamant, “Ermakov Equation Arising from Electromagnetic Fields Propagating in 1D Inhomogeneous Media,” Rev. Mex. Fís. 46, 530–538 (2000).

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

R. Jacobsson, “Light reflection from films of continuously varying refractive index,” in Progress in Optics, Vol. V, E. Wolf, ed. (North-Holland, 1966), pp. 248–286.

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

M. Mishchenko, Light Scattering by Nonspherical Particles. Theory, Measurements, and Applications (Academic, 1999).

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

J. L. Reid and J. R. Ray, “Ermakov systems, nonlinear superposition and solutions of nonlinear equations of motion,” J. Math. Phys. 21, 1583–1587 (1980).

[CrossRef]

J. L. Reid and J. R. Ray, “Ermakov systems, nonlinear superposition and solutions of nonlinear equations of motion,” J. Math. Phys. 21, 1583–1587 (1980).

[CrossRef]

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, 1981).

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

M. Born and E. Wolf, Principles of Optics (Cambridge University, 2005).

A. M. Goodman, “Optical interference method for the approximate determination of refractive index and thickness of a transparent layer,” Appl. Opt. 17, 2779–2787 (1978).

[CrossRef]

M. C. Peña-Gomar, J. J. F. Castillo, A. García-Valenzuela, R. G. Barrera, and E. Pérez, “Coherent optical reflectance from a monolayer of large particles adsorbed on a glass surface,” Appl. Opt. 45, 626–632 (2006).

[CrossRef]

R. Serna, J. C. G. de Sande, J. M. Ballesteros, and C. N. Afonso, “Spectroscopic ellipsometry of composite thin films with embedded Bi nanocrystals,” J. Appl. Phys. 84, 4509–4516 (1998).

[CrossRef]

J. L. Reid and J. R. Ray, “Ermakov systems, nonlinear superposition and solutions of nonlinear equations of motion,” J. Math. Phys. 21, 1583–1587 (1980).

[CrossRef]

R. Diamant and M. Fernández-Guasti, “Light propagation in 1D inhomogeneous deterministic media: the effect of discontinuities,” J. Opt. A 11, 045712 (2009).

[CrossRef]

A. García-Valenzuela, E. Gutiérrez-Reyes, and R. G. Barrera, “Multiple-scattering model for the coherent reflection and transmission of light from a disordered monolayer of particles,” J. Opt. Soc. Am. A 29, 1161–1179 (2012).

[CrossRef]

V. A. Loiko, V. P. Dick, and V. I. Molochko, “Monolayers of discrete scatterers: comparison of the single-scattering and quasi-crystalline approximations,” J. Opt. Soc. Am. A 15, 2351–2354 (1998).

[CrossRef]

J. Toudert, D. Babonneau, L. Simonot, S. Camelio, and T. Girardeau, “Quantitative modelling of the surface plasmon resonances of metal nanoclusters sandwiched between dielectric layers: the influence of nanocluster size, shape and organization,” Nanotechnology 19, 125709 (2008).

[CrossRef]

R. Lazzari, G. Renaud, C. Revenant, J. Jupille, and Y. Borensztein, “Adhesion of growing nanoparticles at a glance: surface differential reflectivity spectroscopy and grazing incidence small angle x-ray scattering,” Phys. Rev. B 79, 125428 (2009).

[CrossRef]

R. G. Barrera, M. del Castillo-Mussot, G. Monsivais, P. Villaseñor, and W. L. Mochán, “Optical properties of 2D disordered systems on a substrate,” Phys. Rev. B 43, 13819–13826 (1991).

[CrossRef]

P. S. Epstein, “Reflection of waves in an inhomogeneous absorbing medium,” Proc. Natl. Acad. Sci. USA 16, 627–637 (1930).

[CrossRef]

M. Fernández-Guasti, A. Gil-Villegas, and R. Diamant, “Ermakov Equation Arising from Electromagnetic Fields Propagating in 1D Inhomogeneous Media,” Rev. Mex. Fís. 46, 530–538 (2000).

T. Wenzel, J. Bosbach, F. Stietz, and F. Träger, “In situ determination of the shape of supported silver clusters during growth,” Surf. Sci. 432, 257–264 (1999).

[CrossRef]

P. B. Espinoza-Padilla, “Ermakov-Lewis dynamic invariants with some applications,” http://arxiv.org/pdf/math-ph/0002005 .

N. Atzin, M. Fernandez–Guasti, and R. Diamant, “Light propagation at soft interface,” http://demonstrations.wolfram.com/LightPropagationAtSoftInterface/ .

H. C. Van de Hulst, Light Scattering by Small Particles (Wiley, 1981).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

M. Mishchenko, Light Scattering by Nonspherical Particles. Theory, Measurements, and Applications (Academic, 1999).

V. Bazhan, “ScatLab,” http://www.scatlab.org .

M. Born and E. Wolf, Principles of Optics (Cambridge University, 2005).

E. Hecht Eugene, Optics (Addison Wesley, 2002).

R. Jacobsson, “Light reflection from films of continuously varying refractive index,” in Progress in Optics, Vol. V, E. Wolf, ed. (North-Holland, 1966), pp. 248–286.