# Title of Dataset
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Supporting Data for Circularly Polarized Photoluminescence from Nanostructured Arrays of Light Emitters
Data includes the processed FDTD simulation results needed to recreate the figures in "Circularly Polarized Photoluminescence from Nanostructured Arrays of Light Emitters". The data files include Fourier-space photoluminescence intensity (PL) and degree of circular polarization (DCP) data, near field field intensity and DCP data, scattering cross section data, and transmission data for gold nanobars coupled to a film of light emitters, a single light emitter, and a patterned nanostructured solid.
Provenance for this README
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* File name: README.md
* Authors: Maya Ramamurthy
* Other contributors: Pavlos Pachidis, Bryan M. Cote, Vivian E. Ferry
* Date created: 2023-02-22
* Date modified: 2023-02-27
Dataset Attribution and Usage
-----------------------------
* License: Use of these data is covered by the following license:
* Title: CC0 1.0 Universal (CC0 1.0)
* Dataset citation:
> Ramamurthy, Maya; Pachidis, Pavlos; Cote, Bryan M.; Ferry, Vivian E. (2023), Circularly polarized photoluminescence from nanostructured arrays of light emitters, Dryad, Dataset, https://doi.org/10.5061/dryad.xksn02vm3
* Corresponding publication:
> Ramamurthy, M., Pachidis, P., Cote, B.M., and Ferry, V.E., ACS Applied Optical Materials 2023 1 (1), 491-499. DOI: 10.1021/acsaom.2c00130
## Description of the data and file structure
Summary Metrics
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* File count: 19
* Total file size: 107.1 MB
* Range of individual file sizes: 21 KB - 6 MB
* File formats: .mat, .csv
Table of Contents
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* Figure_1_Data.zip
* Figure_2_Data.zip
* Figure_3_and_S3_Data.mat
* Figure_4_Data.zip
* Figure_5_Data.mat
* Figure_6_Data.zip
* Figure_7_Data.zip
* Figure_8_Data.zip
* Figure_S2_Data.zip
* Figure_S4_Data.zip
* Figure_S5_Data.mat
* Figure_S6_Data.zip
* Figure_S7_Data.zip
* Figure_S8_Data.zip
* Figure_S9_Data.zip
* Figure_S11_Data.mat
* Figure_S12_Data.mat
* Figure_S13_Data.csv
* Figure_S14_Data.mat
The data are structured by figure. All .mat files require MATLAB to open. The data were collected using Lumerical FDTD solutions Release 2021 R2. Unless otherwise noted, all variables (spatial coordinates, frequencies, wavelengths, etc.) were extracted from the FDTD simulation using Lumerical's 'getdata' or 'getnamed' commands. The variables were then saved to .mat files using the command 'matlabsave' and processed on MATLAB R2021a.
A. The MATLAB function 'imagesc' is frequently used to plot data. This is always followed by the MATLAB function 'set' and the line set(gca,'ydir','normal') to invert the y-axis direction.
B. MATLAB data that begins with 'S0_DCP_Data_' is used plot Fourier-space photoluminescence (PL) and degree of circular polarization (DCP) data. The .mat data file contains two variables:
1. DCP (dimensions: 500 rows x 500 columns)
2. normInt (dimensions: 500 rows x 500 columns)
DCP refers to the degree of circular polarization and normInt refers to the normalized intensity of emitted light. The MATLAB function 'imagesc' is used to plot the DCP and normalized intensity (for example: imagesc(DCP) and imagesc(normInt)). The MATLAB colormap 'bluewhitered' is used to set the color scheme for the DCP plots (Citation: Nathan Childress (2023). bluewhitered (https://www.mathworks.com/matlabcentral/fileexchange/4058-bluewhitered), MATLAB Central File Exchange. Retrieved February 26, 2023.)
C. MATLAB data that begins with 'S0_DCP_Data_1D_' is used to make the PL intensity vs. DCP scatter plots. The data file contains two variables:
1. DCP_1D (dimensions: 250000 rows x 1 column)
2. normInt_1D (dimensions: 250000 rows x 1 column)
The MATLAB function 'scatter' is used to create the scatter plots, where color represents the magnitude of the DCP.
Details for Figure_1_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps and the corresponding scatter plots for the case of a uniform film and a patterned disk of light emitters. See points B and C above for a description of variables.
S0_DCP_Data_Film_Fig1_Lum22.mat (Size: 2.3 MB)
S0_DCP_Data_1D_Film_Fig1_Lum22.mat (Size: 2.3 MB)
S0_DCP_Data_Disk_Fig1_2022.mat (Size: 3 MB)
S0_DCP_Data_1D_Disk_Fig1_2022.mat (Size: 3 MB)
Details for Figure_2_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP maps for four different emitter locations: A, B, C, and D. Each data set contains the variable DCP (dimensions: 500 rows x 500 columns), which represents the degree of circular polarization. The MATLAB function 'imagesc' is used to plot the data (for example: imagesc(DCP)).
DCP_Pos11_A.mat (Size: 1.5 MB) - DCP data at emitter location A
DCP_Pos131_D.mat (Size: 1.5 MB) - DCP data at emitter location D
DCP_Pos137_C.mat (Size: 1.5 MB) - DCP data at emitter location C
DCP_Pos141_B.mat (Size: 1.5 MB) - DCP data at emitter location B
Details for Figure_3_and_S3_Data.mat (Size: 660 KB):
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Description: a .mat file containing the data required to plot the right and left circularly polarized electric field intensity around a single gold nanobar, as well as the near field DCP around a single nanobar when light is incident at a normal angle and two off-normal angles given by theta = 45°, phi = 24° and theta = 50°, phi = 264°. The .mat data set contains a set of variables x, y, Theta0_Phi0_LCP_E2hat, Theta0_Phi0_RCP_E2hat, DCP_Theta0_Phi0, DCP_Theta45_Phi24, and DCP_Theta50_Phimin96. The variables x and y represent distance along the x and y directions and have dimensions 121 rows x 1 column. Each of the other variables has dimensions of 121 rows x 121 columns. The variables Theta0_Phi0_LCP_E2hat and Theta0_Phi0_RCP_E2hat contain electric field data for left and right circularly polarized (LCP and RCP) light 80 nm above the ITO thin film, which was calculated using Lumerical FDTD solutions Release 2021 R2. The variables DCP_Theta0_Phi0, DCP_Theta45_Phi24, and DCP_Theta50_Phimin96 represent the near field DCP around the single nanobar simulated in Lumerical FDTD solutions Release 2021 R2. ‘Theta0_Phi0’ refers to light incident on the sample at a normal angle, ‘Theta45_Phi24’ refers to light incident at theta = 45°, phi = 24°, and ‘Theta50_Phimin96’ refers to light incident at theta = 50°, phi = 264°. To recreate Figure 3a, the MATLAB function 'imagesc' was used to plot the transposed result given by log10(Theta0_Phi0_LCP_E2hat) and log10(Theta0_Phi0_RCP_E2hat). To recreate Figures 3b and S3a, the MATLAB function 'imagesc' was used to plot the DCP (for example: imagesc(x,y,DCP_Theta0_Phi0)).
Details for Figure_4_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps and the corresponding scatter plots for the case of 1 emitter, 9 emitters, and 25 emitters. See points B and C above for a description of variables.
S0_DCP_Data_1Emitter_Fig4_Lum22.mat (Size: 3 MB)
S0_DCP_Data_9Emitters_Fig4_Lum22.mat (Size: 3 MB)
S0_DCP_Data_25Emitters_Fig4_Lum22.mat (Size: 3 MB)
S0_DCP_Data_1D_1Emitter_Fig4_Lum22.mat (Size: 3 MB)
S0_DCP_Data_1D_9Emitters_Fig4_Lum22.mat (Size: 3 MB)
S0_DCP_Data_1D_25Emitters_Fig4_Lum22.mat (Size: 3 MB)
Details for Figure_5_Data.mat (Size: 4.5 MB):
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Description: a .mat data file containing three variables (S0_D1, S0_D2, and S0_D3), used to recreate the Fourier space PL intensity maps for the case of x, y, and z-polarized light emitters in a patterned disk. Each variable has dimensions 500 rows x 500 columns. The MATLAB function 'imagesc' can be used to plot the normalized PL intensity (for example: imagesc(S0_D1)).
Details for Figure_6_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the near and far-field maximum and minimum intensity in CP field enhancement for a single nanobar. The first .mat data set contains the variables x and y (each with dimensions: 121 rows x 1 columns) and DeltaE2_max and DeltaE2_min (each with dimensions: 121 rows x 121 columns). The variables x and y represent distance along the x and y axes, respectively. The variables DeltaE2_max and DeltaE2_min refer to the maximum and minimum difference in right and left circularly polarized (RCP and LCP) near field intensity. Figure 6a is generated by using the MATLAB function 'imagesc' to plot DeltaE2_max and DeltaE2_min (for example: imagesc(x,y,DeltaE2_max)).
The second .mat data set contains the variables x and y (each with dimensions: 121 rows x 1 columns) and DeltaRL_max and DeltaRL_min (each with dimensions: 25 rows x 25 columns). The variables x and y represent distance along the x and y axes, respectively. The variables DeltaRL_max and DeltaRL_min refer to the maximum and minimum difference in RCP and LCP far-field intensity. Figure 6b is generated by using the MATLAB function 'imagesc' to plot DeltaRL_max and DeltaRL_min (for example: imagesc(x,y,DeltaRL_max)).
Figure_6a_Data.mat (Size: 4 KB)
Figure_6b_Data.mat (Size: 2 KB)
Details for Figure_7_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps and the corresponding scatter plot for an array of single nanobars coupled to light emitters that leads to right circularly polarized (RCP) light emission at normal angles. See points B and C above for a description of variables.
S0_DCP_Data_Fig7.mat (Size: 3 MB)
S0_DCP_Data_1D_Fig7.mat (Size: 3 MB)
Details for Figure_8_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps and the corresponding scatter plots for an array of nanobar dimers coupled to light emitters that leads to either right or left circularly polarized (RCP or LCP) light emission at normal angles. Data sets that end in '_RCP' contain the data for the design that leads to RCP emission while data sets that end in '_LCP' contain the data for the design that leads to LCP emission. See points B and C above for a description of variables.
S0_DCP_Data_Fig8_RCP.mat (Size: 3 MB)
S0_DCP_Data_Fig8_LCP.mat (Size: 3 MB)
S0_DCP_Data_1D_Fig8_RCP.mat (Size: 3 MB)
S0_DCP_Data_1D_Fig8_LCP.mat (Size: 3 MB)
Details for Figure_S2_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space PL intensity maps for four different emitter locations: A, B, C, and D. Each .mat file contains one variable, normInt, which has dimensions 500 rows x 500 columns.
NormInt_Pos11_A.mat (Size: 1.5 MB) - PL data at emitter location A
NormInt_Pos131_D.mat (Size: 1.4 MB) - PL data at emitter location D
NormInt_Pos137_C.mat (Size: 1.5 MB) - PL data at emitter location C
NormInt_Pos141_B.mat (Size: 1.5 MB) - PL data at emitter location B
Details for Figure_S4_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps for 1, 9, 13, 17, 21, and 25 light emitters at the given locations. See point B above for a description of variables.
S0_DCP_Data_1Emitter_FigS4.mat (Size: 3 MB)
S0_DCP_Data_9Emitters_FigS4.mat (Size: 3 MB)
S0_DCP_Data_13Emitters_FigS4.mat (Size: 3 MB)
S0_DCP_Data_17Emitters_FigS4.mat (Size: 3 MB)
S0_DCP_Data_21Emitters_FigS4.mat (Size: 3 MB)
S0_DCP_Data_25Emitters_FigS4.mat (Size: 3 MB)
Details for FigureS5_Data.mat (Size: 21 KB):
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Description: a .mat file containing the data required to plot the scattering cross sections of a nanobar in air, a nanobar and disk, and a nanobar covered in a film of light emitters. There are four variables in this .mat data set, each of which have dimensions 701 rows x 1 column. Lambda refers to the wavelength in meters (x-axis). Qscat_Disk_NR_ITO_Glass refers to the scattering cross section of a dielectric disk + gold nanobar, Qscat_NR_Air_ITO_Glass refers to the scattering cross section of a gold nanobar in air, and Qscat_NR_Film_ITO_Glass refers to the scattering cross section of a gold nanobar embedded in a dielectric film. The scattering cross sections of each of these structures was calculated using Lumerical FDTD solutions Release 2021 R2. A circularly polarized light source, aligned along the z direction, was added to the simulation by combining two linear polarized light sources with polarization and phase shifts of ±90°. Scattering cross section calculations utilized Lumerical's advanced scattering analysis group. More information about the analysis group can be found at: https://optics.ansys.com/hc/en-us/articles/360042703433-Mie-scattering-FDTD-.
Details for Figure_S6_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the near field DCP maps 20 nm, 40 nm, 60 nm, and 80 nm above an ITO coated thin film for two different angles of incidence. Each of these .mat data sets contains the variables x, y, DCP20, DCP40, DCP60, and DCP80. The variables x and y have dimensions 121 rows x 1 column and represent distance along the x and y axes, respectively. All of the other variables have dimensions 121 rows x 121 columns and represent the degree of circular polarization.
Naming of the variables: ’20’, ’40’, ’60’, and ’80’ refers to the height (in nanometers) above the ITO thin film at which the data were collected in Lumerical FDTD solutions Release 2021 R2.
Naming of the .mat files: ‘_0Theta_0Phi’ and ‘_50Theta_-96Phi’ refers to light incident on the sample at a normal angle or at an angle of theta = 50°, phi = 264°.
The MATLAB function 'imagesc' was used to plot the DCP (for example: imagesc(x,y,DCP20))
0Theta_0Phi_DCP.mat (Size: 450 KB)
50Theta_-96Phi_DCP.mat (Size: 450 KB)
Details for Figure_S7_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps for light emitters 20 nm, 40 nm, 60 nm, and 80 nm above the ITO-coated glass surface. See point B above for a description of variables.
S0_DCP_Data_H20nm_FigS7.mat (Size: 3 MB)
S0_DCP_Data_H40nm_FigS7.mat (Size: 3 MB)
S0_DCP_Data_H60nm_FigS7.mat (Size: 3 MB)
S0_DCP_Data_H80nm_FigS7.mat (Size: 3 MB)
Details for Figure_S8_Data.zip:
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Description: a .zip file containing the .mat data sets to recreate the Fourier space DCP and PL intensity maps when the light emitters have peak PL wavelength at 615 nm, 630 nm, 645 nm, and a weighted average of these. There are two variables in each of these .mat data sets. DCP (dimensions 500 rows x 500 columns) refers to the degree of circular polarization and normInt (dimensions 500 rows x 500 columns) refers to the normalized intensity of emitted light. The MATLAB function 'imagesc' was used to plot each.
615nm Emiss data.mat (Size: 3 MB)
645nm Emiss data.mat (Size: 3 MB)
630nm Emiss data_2022.mat (Size: 3 MB)
Weighted_Average_data_2022.mat (Size: 3 MB)
Details for Figure_S9_Data.mat (Size: 25 KB):
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Description: a .mat data file used to recreate the transmission spectrum of a nanobar array under circular polarized (CP) illumination. This .mat data set contains three variables: w, pitch, and T_matrix. w (dimensions: 300 rows x 1 column) refers to the wavelength in meters, pitch (dimensions: 1 rows x 10 columns) refers to the pitch of the array in nanometers, and T_matrix (dimensions: 300 rows x 10 columns)refers to the fraction of light transmitted through the array. T_matrix is an average of the transmitted right and left circularly polarized light. The fraction of light transmitted through the array was calculated using Lumerical FDTD solutions Release 2021 R2. A circularly polarized light source, aligned along the z direction, was added to the simulation by combining two linear polarized light sources with polarization and phase shifts of ±90°. Periodic boundary conditions were used in the x and y directions and Perfectly Matched Layer boundary conditions were used in the z direction. The Lumerical function ‘transmission’ was used to compute the fraction of light transmitted through a transmission monitor located on the opposite side of the structure and approximately 500 nm away. The MATLAB function 'imagesc' was used to plot the transmission data (for example: imagesc(pitch,flip(w*10^9,1),-T_matrix)).
Details for Figure_S11_Data.mat (Size: 6 KB):
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Description: a .mat data file containing the data required to plot the maximum and minimum difference in right and left circularly polarized near field intensity around a single gold nanobar, as well as the maximum and minimum near field DCP. This .mat data set contains the variables x, y, DCP_max, DCP_min, max_E2_RCP, and max_E2_LCP. The variables x and y have dimensions 121 rows x 1 column and represent distance along the x and y axes. All of the other variables have dimensions 121 rows x 121 columns. The variables max_E2_RCP and max_E2_LCP refer to the maximum and minimum difference in right and left circularly polarized near field intensity around a single gold nanobar. Figure S11a is generated using the MATLAB function 'imagesc' to plot imagesc(x,y,max_E2_RCP) and imagesc(x,y,max_E2_LCP). The variables DCP_max and DCP_min refer to the maximum and minimum near field DCP around the gold nanobar. Figure S11b is generated by using the MATLAB function 'imagesc' to plot imagesc(x, y, DCP_max) and imagesc(x,y,DCP_min). Each of these is followed by the line set(gca,'ydir','normal').
Details for Figure_S12_Data.mat (Size: 5 KB):
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Description: a .mat data file containing the data required to plot the maximum and minimum difference in RCP and LCP near field intensity around a gold nanobar dimer. This .mat data set contains the variables x, y, max_RCPminusLCP, and min_RCP_minusLCP. The variables x and y have dimensions 121 rows x 1 column and represent distance along the x and y axes. The variables max_RCPminusLCP and min_RCPminusLCP have dimensions 121 rows x 121 columns. The MATLAB function 'imagesc' is used to plot the angle of incidence that gives the maximum and minimum difference in right versus left circularly polarized light (for example: imagesc(x,y, max_RCPminusLCP) and imagesc(x,y, min_RCPminusLCP)).
Details for Figure_S13_Data.csv (Size: 3 KB):
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Description: a .csv file containing the data required to plot the spectral intensity of an electric dipole simulated by Lumerical Release 2021 R2. This .csv data file contains two columns of data. The first column represents wavelength in nanometers (dimensions: 211 rows x 1 column). The second column represents intensity (dimensions: 211 rows x 1 column).
Details for Figure_S14_Data.mat (Size: 1.2 MB):
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Description: a .mat file containing the data to recreate the Fourier space DCP map for an achiral nanorod dimer array covered in a uniform film of light emitters. There is one variable in this .mat data set, DCP (dimensions 500 rows x 500 columns), which refers to the degree of circular polarization. The MATLAB function 'imagesc' was used to plot the DCP (for example: imagesc(DCP)).
## Sharing/Access information
Links to other publicly accessible locations of the data:
* N/A
Data was derived from the following sources:
* N/A
Links to publications that cite or use the data: https://doi.org/10.1021/acsaom.2c00130
## Code/Software
All of the data shown here was processed using MATLAB R2021a. MATLAB is required to open the .mat data.