# Optical Properties of Complex Plasmonic Materials Studied with Extended Effective Medium Theories Combined with Rigorous Coupled Wave Analysis

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## Abstract

**:**

## 1. Introduction

## 2. Materials and Methods

#### 2.1. Fabrication of Gold Nanoparticle Gratings

#### 2.2. Analytical and Numerical Models

## 3. Results and Discussion

## 4. Conclusions

## Supplementary Materials

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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**Figure 1.**(

**a**) Gold nanoparticle gratings in polymer thin films and (

**b**) modeling of the system by combining the RCWA and the effective medium theory.

**Figure 2.**AFM images of the GNGs (

**a**) and the HFs (

**b**) with gold/polymer ratio of 3 wt %, 5 wt %, and 10 wt %. The surface profiles of the gratings are shown in (

**c**).

**Figure 4.**(

**a**) Histogram and fitted size distribution of the HFs at 5 wt % and 10 wt %; (

**b**) 3D view of typical AFM images of these samples.

**Figure 5.**Comparison between the absorption spectra from experiments (dotted line) and simulations (continuous line) using the MGc model (

**a**) and the MMMGc model (

**b**).

**Figure 6.**(

**a**) Histograms and fitted size distributions of the GNGs at 5 wt % and 10 wt %; (

**b**) 3D view of typical AFM images of these samples.

**Figure 7.**Comparison between the absorption spectra and the diffraction efficiency (DE) spectra measured experimentally and simulated using the MGc model (

**a**,

**b**) and the MMMGc model (

**c**,

**d**).

**Figure 8.**Specific consideration for the GNG at 10 wt %. (

**a**) Parameters for the new modeling approach (M2) and the previous one (M1). (

**b**) Absorption and (

**c**) Diffraction efficiency (DE) spectra of the GNG: comparison between the experimental data and the two models.

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**MDPI and ACS Style**

Nadal, E.; Barros, N.; Glénat, H.; Kachakachi, H. Optical Properties of Complex Plasmonic Materials Studied with Extended Effective Medium Theories Combined with Rigorous Coupled Wave Analysis. *Materials* **2018**, *11*, 351.
https://doi.org/10.3390/ma11030351

**AMA Style**

Nadal E, Barros N, Glénat H, Kachakachi H. Optical Properties of Complex Plasmonic Materials Studied with Extended Effective Medium Theories Combined with Rigorous Coupled Wave Analysis. *Materials*. 2018; 11(3):351.
https://doi.org/10.3390/ma11030351

**Chicago/Turabian Style**

Nadal, Elie, Noémi Barros, Hervé Glénat, and Hamid Kachakachi. 2018. "Optical Properties of Complex Plasmonic Materials Studied with Extended Effective Medium Theories Combined with Rigorous Coupled Wave Analysis" *Materials* 11, no. 3: 351.
https://doi.org/10.3390/ma11030351