Research Article, Res J Opt Photonics Vol: 1 Issue: 1
Broadband Plasmonic Total Light Absorption in an Aldoped ZnO/spacer/silver Stack Patterned with Graded Photonic Super-crystal
*Corresponding Author : Yuankun Lin, PhD
Department of Physics, University of North Texas, Denton, TX 76203, USA
Tel: (940) 565-4548
E-mail: [email protected]
Received: October 07, 2017 Accepted: October 14, 2017 Published: October 20, 2017
Citation: Adewole M, Lowell D, Hassan S, George D, Zhang H, et al. (2017) Broadband Plasmonic Total Light Absorption in an Al-doped ZnO/spacer/silver Stack Patterned with Graded Photonic Super-crystal. Res J Opt Photonics 1:1.
For the first time, Al-doped ZnO patterned with graded photonic super-crystals with dual lattice and dual period and stacked on SiO2/ silver films, has been studied for plasmonic total light absorption. Broadband total light absorption occurs due to the gradient size distribution of dot disks in the photonic lattice. Localized surface plasmon polaritons (SPPs) are selectively confined in certain dot disks following the SPP formation condition, and total light absorption happens when the SPPs are coupled to the Fabry–Pérot resonance which is dependent on the spacer thickness.
Keywords: Total light absorption; Fabry–Perot resonance; Surface plasmon polariton; Al-doped ZnO
Total light absorption (TLA) (or perfect absorption) and plasmonic TLA with zero reflection and zero transmission in thin film stacks and metal-insulator-metal (MIM) stacks have been studied for applications in photodetectors, solar energy harvesting, among other things [1-13]. In patterned MIM stacks, light can easily couple with surface plasmons to form surface plasmon polaritons (SPPs) following momentum conservation [1,4,5,8]. Plasmonic TLA has been observed in MIM stacks without strict conditions for the material selections, as is the case for thin film stacks [1-8]. In the infrared wavelength range, indium tin oxide (ITO), Ga-doped ZnO, and Al-doped ZnO (AZO) are good candidates for plasmonic materials due to their low optical loss and thermally, electrically, or optically tunable optical properties [14-22]. These materials have used to realize tunable plasmonic TLA [14-22].
TLA in broad wavelength is desired for applications such as solar energy harvesting. Multiplexed plasmon resonances in metal duallattices [4,5,23] have been used to achieve broadband plasmonic TLA. Dual lattice photonic crystals can be used to generate broadband light trapping enhancement for solar energy harvesting [24-26]. Simulations have shown that the light extraction efficiency is greatly enhanced if the cathode of an organic light emitting diode is patterned with gradient photonic super-crystals (GPSCs) .
In this paper, for the first time, we have simulated the light reflection from AZO/glass spacer/silver stacks that are patterned with a newly discovered GPSC with dual lattice and dual period. The gradient size distribution of dot disks in the GPSC lattices provide many choices for the formation of localized SPPs. Electric field intensity simulations illustrate the selection condition of localized SPPs and plasmonic TLA is explained in terms of SPPs coupling with Fabry–Pérot (F-P) resonance.
In the simulation, AZO is patterned with a GPSC within the AZO/ glass/silver stack. The GPSC is formed by eight-beam interference (two sets of four interfering beams) [27,28]. One set of beams has a cone angle, α, and the same intensity, I1, and their wavevectors can be written as: k(sin(α)cos(45°), sin(α)sin(45°), cos(α)), k(-sin(α) cos(45°), sin(α)sin(45°), cos(α)), k(sin(α)cos(45°), -sin(α)sin(45°), cos(α)), k(-sin(α)cos(45°), -sin(α)sin(45°), cos(α)). The other set of beams has a cone angle, β, (with α>β) with equal intensities, I2, and the following wavevectors: k(sin(β)cos(45°), sin(β)sin(45°), cos(β)), k(-sin(β)cos(45°), sin(β)sin(45°), cos(β)), k(sin(β)cos(45°), -sin(β) sin(45°), cos(β)), k(-sin(β)cos(45°), -sin(β)sin(45°), cos(β)). The intensity ratio of the beams, I1/I2, is 5:1 in the simulation with zero initial phase. When these eight beams interfere, a pattern with dual lattice and dual period is formed. To an approximation, the large period is determined by the small cone angle β and the small period is related to the large cone angle α. The small period is determined by the equation, P1=2π/Δk, where Δk is the difference in wavevector between two adjacent beams with cone angle α. A unit super-cell of 12P1×12P1 (or P3×P3) of the interference pattern is shown in Figure 1a. Three periods are shown in the figure. and the large period P3=12P1. These different periods (P1, P2, and P3) help couple light from free space to the GPSC pattern following the conservation of momentum. Two sets of lattices (dual lattices) can be identified by the yellow and blue squares although the size of the dots on the vertices of the square are graded. The size of the dots in one set of the lattices indicated by the yellow square become smaller as we move from the edge to the central region, while the dot size becomes bigger for the lattice indicated by the blue square.
Figure 1: (a) Graded photonic super-crystals with dual lattice as indicated by the yellow and blue squares and dual period. (b) Cross-section of the AZO/ glass/silver stack. (c) Simulated reflection spectra from the AZO/glass/silver stack patterned with a square lattice photonic crystal (yellow triangles) and with the graded photonic super-crystals (blue circles). (d) Simulated reflection spectra from the AZO/glass/silver stack patterned with graded photonic supercrystals for different spacer thicknesses of 700, 620, 600, 560, 500 and 450 nm.
The interference pattern I(r) was compared with threshold intensity. When I(r)< Ith the pattern becomes air, and AZO when I(r)> Ith. The dielectric function of the AZO was obtained through characterization of an AZO film by spectroscopic ellipsometry in our previous paper . The thickness of the AZO and silver layers in the AZO/glass/silver stack, as shown in Figure 1b in cross-section, were both set to be 100 nm, and the glass thickness was adjusted to search for TLA. The absorption (A) is related to the transmission (T) and reflection (R) by A=1-T-R. The transmission is zero due to the silver mirror. Thus, in the simulation, the reflection from the AZO/ glass/silver stack was simulated and plotted. A=100% when T=R=0. The simulations of reflection spectra were performed with a finitedifference time-domain (FDTD) method, using MIT’s open source software package, MEEP . The polarization of light source is in the [0,1] direction. Due to the large unit cell size, all simulations were performed on the Simpetus Electromagnetic Simulation Platform in Amazon Web Services (AWS). Parallel computations were used in 36-core virtual machines in AWS.
Results and Discussions
Figure 1c shows TLA for the AZO/glass/silver stack where the AZO has been patterned with a traditional single square lattice and a GPSC with dual lattice as in Figure 1a. The reflection dip is much wider in the spectrum from the AZO patterned with the GPSC than that of the AZO patterned with the single square lattice. In order to understand the TLA mechanism, further simulations were performed for AZO/glass/silver stacks with different spacer thicknesses, and AZO pattern period P1. Figure 1d shows the reflection at different spacer thicknesses. At a thickness of 700 nm, no TLA is observed. When the thickness is decreased, the reflection dip wavelength is blue-shifted and the reflection at the dip wavelength becomes smaller. When the glass spacer thickness=550 nm, TLA is observed in the range of 3055 and 3298 nm. When the thickness is decreased further, the reflection at the dip wavelength becomes non-zero as seen for the case of thickness=450 nm. Thus, TLA is related to the glass spacer thickness.
Figures 2a and 2b shows the electric field intensity in the x-y plane just above the silver layer and below the AZO layer, respectively. The red circles in Figures 2a and 2b indicate the edge of one set of lattices with large diameters (the lattice indicated by the blue square in Figure 1a. As shown in the figure, the strong electric field is confined near the lattice with large diameters and weak near the second lattice with small diameters. The electric field is strong in the central region and weak near the edge of the unit super-cell, as seen in Figures 2a and 2b. This indicates that the SPP is localized and the gradient dot disk size is responsible for the broadband plasmonic TLA. Due to the polarization in the [0,1] direction, the electric field is very strong in y direction near the edges of lattice dots (top and bottom edges in the top view in Figure 2b and below the AZO down to the silver layer. The cross-section view of the electric field intensity in x-z plane cutting through the dashed blue line (center of the dots), dashed yellow line (edge of the dots), and dashed white line in Figure 2b, is shown in Figures 3c1, 3c2 and 3c3), respectively. In the glass spacer, the electric field intensity in Figure 2c2 is stronger near silver layer and weaker near AZO layer while the electric field intensity in Figure 2c1 is stronger near the AZO layer and weaker near silver layer. The TLA can be considered a result of the coupling between SPPs and Fabry-Pérot (F-P) resonance in an up-down or zig-zag path in the space as shown in Figure 2c4.
Figure 2: Simulated electric field intensity in the spacer layer (a) just above the silver layer and (b) just below AZO for AZO/spacer/silver stack patterned with GPSC. The solid circles duplicate the location of one set of lattices indicated by the blue square in Figure 1a. (c1, c2, c3) Cross-section views of the simulated E-field intensities cutting through the dashed blue, yellow, and white lines in (b). (c4) A schematic showing the zig-zag Fabry-Pérot path inside the glass spacer.
The following condition will be met for the formation of SPPs at the interface of the AZO and glass spacer:
Where λ is the wavelength, m an integer number, neff the effective refractive index as defined in Eq. (2), εAZO and εs the dielectric constants of AZO and spacer, respectively. For m=2 and diameters 840 and 940 nm, SPP wavelengths of 3037 and 3269, respectively, can be obtained from the Eq. (1), compared with the broadband plasmonic TLA in the range of 3055 and 3298 nm from the reflection spectra. From Figure 1a, the measured sizes for the largest and second largest dot disks are 914 and 822 nm, respectively. It is the dot area where strong electric field confinement appears, as in Figures 2a and 2b. Thus the gradient size of dot disks contributes to the broad TLA.
Further simulations have been performed to assess the TLA wavelength dependence on the period P1. The results are shown in Figure 3. When the period decreases as seen in Figure 3a, the TLA wavelength decreases following Eq. (1) and Eq. (2). On the other hand, the TLA wavelength increases as the period increases, as seen in Figure 3c. The glass spacer thickness was also changed to 500, 600, and 650 nm for the periods of 800, 1200, and 1400 nm, respectively, in order to realize plasmonic TLA. Broadband TLA occurs at 2866- 3088, 3003-3230, and 3336-3504 nm, for periods of 800, 1200, and 1400 nm, respectively, as seen in Figures 3a, 3b, and 3c. Based on the optical paths of up-down or zig-zag as shown in Figure 2c4, F-P resonance wavelengths can be estimated to be in the range of 2757- 2994, 3021-3327, and 3491-3576 nm for GPSCs with periods of 800, 1200, and 1400 nm, respectively. These wavelength ranges are close to the simulated TLA wavelength ranges, indicating a coupling of SPPs with F-P resonance between the patterned AZO and silver films. Further tests of the above hypothesis are performed using the GPSC with a period P1 of 1400 nm as described below.
Using Eq. (1) and Eq. (2) with period P1 of 1400 nm and dot disk sizes between 960 and 1040 nm, SPP wavelengths were calculated between 3317 and 3517 nm. These disk sizes were used for the calculation of the F-P resonance wavelength above. However, the dot disks with sizes of 960 and 1040 nm in diameter in GPSC with a period P1 of 1400 nm are no longer in the central region of the unit super-cell. Thus the electric field simulation is performed in AZO/ spacer/silver stack patterned with GPSC with a period P1=1400 nm and a spacer thickness of 650 nm, as shown in Figure 4. The electric field intensities in the x-y plane at a location just above the silver, between the silver and AZO, and just below the AZO are shown in Figures 4a, 4b and 4c, respectively. From these figures, we can see that strong electric fields are confined in eight dot disks in row #2, ten dot disks in row #3, and four dot disks in row #4. Thus most of the electric field is confined in dot disks with sizes of 67.4% and 74.0% of period P1 for row #2 and #3, respectively. P1=1400 nm thus these sizes are 944 and 1036 nm, respectively, in good agreement with the predicted dot disk sizes of 960 and 1040 nm based on Eq. (1) and Eq. (2).
Figure 4: Simulated electric field intensity in the spacer layer (a) just above the silver layer, (b) between the silver and AZO, and (c) just below AZO for AZO/ spacer/silver stacks patterned with GPSC with spacer thickness of 650 nm. The solid circles duplicate the location of one set of lattices indicated by the blue square in Figure 1(a). The numbers in (c) are the percentage of dot disk size relative to the period P1 in different rows.
The coupling of SPPs with F-P resonance is further tested and the tunability of TLA is simulated. When a negative bias is applied onto AZO, a carrier accumulation occurs in a thin layer of AZO near the AZO/spacer interface. The carrier distribution can be solved by Poisson’s equation . The change of carrier concentration results in a change of plasma frequency for AZO, as described by Eq. (3).
where e is the electron charge, m* the effective mass, and ε0 is the electric permittivity of vacuum. The change in plasma frequency will lead to a change in the AZO permittivity.
Figure 5 shows the results of simulations of plasmonic TLA in AZO/spacer/silver stacks when the plasma frequency of a 10 nm layer of AZO near the AZO-glass interface is changed from 1.45 eV to 1.65 eV and 2.20 eV while the rest of the AZO (90 nm) keeps the original plasma frequency of 1.45 eV. The stack is patterned with GPSC with a period P1=1000 nm and has a spacer thickness of 560 nm. For a plasma frequency of 1.65 eV, localized SPPs around the dot disk with smaller size than the one in Figure 2a can participate in coupling with the F-P resonance thus the TLA dip wavelength is shifted as seen in the Figure 5. At a plasma frequency at 2.20 eV, localized SPPs occur but are not coupled to the F-P resonance. This simulation indicates the tunability of plasmonic TLA through changes in carrier concentration. A real device can be designed with air holes in AZO for connection to an electrical source.
Broadband plasmonic TLA has been observed in the simulations of reflection from AZO/spacer/silver stacks patterned with a GPSC with dual period and dual lattice. The TLA broadening is caused by the gradient size distribution of dot disks in the patterned AZO. TLA occurs when the localized SPPs are coupled with the F-P resonance in the spacer.
This work is supported by research grants from the U.S. National Science Foundation under Grant Nos. CMMI- 1661842, 1661749, and ECCS-1407443.
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