Bloch Vector Analysis in Nonlinear, Finite, Dissipative Systems: An Experimental Study

Abstract

We have investigated and experimentally demonstrated the applicability of the Bloch vector for one-dimensional, nonlinear, finite, dissipative systems. The case studied is the second harmonic generation from metallo-dielectric Ag/Ta 2 O 5 thin film multilayer filters.

Second harmonic generation from metallo-dielectric multilayered structures in the plasmonic regime

“…The value of the surface nonlinearity is estimated to be d s (2) = 10 18 m 2 /V, based on the experimental results reported Ref. [19]. In the undepleted regime, Eq.…”

“…The simulations are based on the theoretical model that we have developed in Ref. [19], where the non-plasmonic SHG from metallo-dielectric structures has been investigated both theoretically and experimentally. In Ref.…”

“…In Ref. [19] the quadratic nonlinearity of metals was described through two terms: the Lorentz term (volume term) and the surface term. In our case we can neglect the Lorentz term because in the plasmonic regime the field is mainly localized at the metal-dielectric interfaces and therefore just the surface term will be exploited in an efficient way.…”

“…In our case we can neglect the Lorentz term because in the plasmonic regime the field is mainly localized at the metal-dielectric interfaces and therefore just the surface term will be exploited in an efficient way. Under TM polarization, the Helmholtz equation for the H-field at the SH can be written as follows [19]:…”

“…The reader interested in the mathematical details of the theoretical approach can consult Ref. [19]. The SH conversion efficiency in reflection is calculated by the ratio of the z-component of the Poynting vector of the backward generated SH divided by the zcomponent of the Poynting vector of the FF pump field incident on the sample: Before closing this Section we would like to underline that our description of the quadratic nonlinearities of metals in terms of a volume nonlinearity and a surface nonlinearity, which basically follows the classical approach outlined in the book of Shen [3], it is not the only method present in literature.…”