Modal method for second harmonic generation in nanostructures

Héron, Sébastien; Pardo, Fabrice; Bouchon, Patrick; Pélouard, Jean-Luc; Haïdar, Riad

doi:10.1364/josab.32.000275

Cited by 9 publications

(3 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The nonlinear properties of gold are not considered in the following, as the nonlinear susceptibility of gold is far smaller than for gallium arsenide [21]. The structure has been optimized for SHG, with a transverse magnetic (TM)-polarized The simulations have been realized thanks to a B-spline modal method (BMM) [22,23]. The SHG efficiency is calculated as follows:…”

Section: Lettermentioning

confidence: 99%

Experimental demonstration of second-harmonic generation in high χ² metasurfaces

et al. 2021

Self Cite

View full text Add to dashboard Cite

Metasurfaces able to concentrate light at various wavelengths are promising for enhancing nonlinear interactions. In this Letter, we experimentally demonstrate infrared second-harmonic generation (SHG) by a multi-resonant nanostructure. A 100 GaAs layer embedded in a metal-insulator-metal waveguide is shown to support various localized resonances. One resonance enhances the nonlinear polarization due to the transverse magnetic (TM)-polarized pump wavelength near 3.2 µ m , while another is set near the TE-polarized generated wavelength ( 1.6 µ m ). The measured SHG efficiency is higher than 10 − 9 W − 1 for pump wavelengths ranging from 2.9 to 3.3 µ m , which agrees with theoretical computations. This is typically 4 orders of magnitude higher than the equivalent GaAs membrane.

show abstract

Section: Lettermentioning

confidence: 99%

Experimental demonstration of second-harmonic generation in high χ² metasurfaces

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…This orientation determines the boundary conditions encountered by the elementary generated fields. For other pump field choices, the source term can be oriented according to x or y, in which case, boundary conditions have been described by Heron et al [36].…”

Section: Construction Of the Nonlinear Fieldmentioning

confidence: 99%

4000-enhancement of difference frequency generation in a mode-matching metamaterial

Soun¹,

Héron²,

Ouazzani³

et al. 2020

Opt. Express

Self Cite

View full text Add to dashboard Cite

In the wake of the control of light at the sub-wavelength scale by nanoresonators, metasurfaces allowing strong field exaltations are an attractive platform to enhance nonlinear processes. Recently, high efficiency second harmonic and difference frequency generations were demonstrated in metasurfaces that generate a nonlinear polarization normal to the surface. Here, we introduce a mode matched resonator that is able to produce this particular nonlinear polarization in a layer of gallium arsenide associated with a gold metasurface. The nonlinear conversion mechanism is described as a two-step process in which efficiency is shown to yield a good colocalization and a strong enhancement of the pump fields, as well as a high extraction efficiency of the generated field. This mode-matched metasurface is able to reach a difference frequency generation (DFG) efficiency of 10 −2 W/W 2 . This opens a new paradigm where alternative nonlinear materials could be reintroduced in metasurfaces and yields even higher efficiency than high effective χ (2) structures.

show abstract

“…All the parameters are identical for the symmetric case apart for the height h = 1 µm. The computations are performed with the B-spline modal method, which makes a fast and exact resolution of Maxwell equations, and can also solve the nonlinear behavior under the undepleted pump approximation [24,25].…”

mentioning

confidence: 99%

Mode matching in second-order-susceptibility metal-dielectric structures

2016

Self Cite

View full text Add to dashboard Cite

We present an effective model for a subwavelength periodically patterned metallic layer, its cavities being filled with a nonlinear dielectric material, which accounts for both the linear and second order behavior. The effective non linear susceptibility for the homogenized layer is driven by the nonlinearity of the dielectric material and by the geometrical parameters, thus leading to much higher susceptibility than existing materials. This leads to a huge enhancement of non linear processes when used together with resonances. Furthermore, multiple resonances are taking place in the metallic cavities, and we investigate the mode matching situations for frequency conversion processes and show how it enhances further their efficiency. 42.65.Ky,78.67.Pt Metamaterials are artificial materials, obtained with subwavelength patterned elements, that exhibit effective electromagnetic properties which depend not only on the material, but also on the geometry. They have given birth to original and unprecedented behaviors both in the linear and non linear regime, such as optical cloaking, phase matched negative index or left-handed metamaterials [1-3]. Subwavelength patterned elements can behave as nanoantennas able to funnel the incoming light and concentrate it in a small volume, which is extremely appealing in the context of non linear optics [4][5][6][7][8]. Indeed, optical nanoantennas can provide huge enhancement of the electric field, and even if the volume at stake is smaller compared to the whole device, nonlinear effects can be boosted. Most of the nanoantennas reported in the literature are metallic, as they can confine the field more easily than dielectric antenna. So the surface nonlinearities of the metal itself are enhanced [5,[9][10][11], even if dielectric materials can provide much higher volume nonlinearities.Besides, there are two important stakes when considering a non linear metamaterial. The first is to predict the linear and non linear properties of the patterned material by its geometrical parameters. It can be done for instance with the Maxwell Garnett formalism [12], through field averaging [13] or by retrieving it from rigorous computations or experiments [14]. The second stake consists in finding metamaterials exhibiting multiple resonances so as to enhance the field at each one of the wavelength involved in the frequency conversion process. Lately, several metallic mode matching nanostructures have been suggested to further improve the efficiency of non linear effects either based on plasmonic nanoantennas [15,16] or on phased-array sources [17].In this letter, we report on mode matching in a high susceptibility metamaterial for frequency conversion. The investigated structure consists in a patterned (a) Asymmetric (b) Symmetric E w w FIG. 1. (a) Periodic grating (period d) of metallic grooves of width w and height h, filled with a non linear dielectric (permittivity ǫ d , non linear susceptibility χ (2) d.) The waves are normally incident and TM polarized with wave vectors k lying in the xO...

show abstract

Modal method for second harmonic generation in nanostructures

Cited by 9 publications

References 29 publications

Experimental demonstration of second-harmonic generation in high χ² metasurfaces

Experimental demonstration of second-harmonic generation in high χ² metasurfaces

4000-enhancement of difference frequency generation in a mode-matching metamaterial

Mode matching in second-order-susceptibility metal-dielectric structures

Contact Info

Product

Resources

About

Modal method for second harmonic generation in nanostructures

Cited by 9 publications

References 29 publications

Experimental demonstration of second-harmonic generation in high χ2 metasurfaces

Experimental demonstration of second-harmonic generation in high χ2 metasurfaces

4000-enhancement of difference frequency generation in a mode-matching metamaterial

Mode matching in second-order-susceptibility metal-dielectric structures

Contact Info

Product

Resources

About

Experimental demonstration of second-harmonic generation in high χ² metasurfaces

Experimental demonstration of second-harmonic generation in high χ² metasurfaces