Charlie
Gréboval
a,
David
Darson
b,
Victor
Parahyba
c,
Rodolphe
Alchaar
a,
Claire
Abadie
d,
Vincent
Noguier
c,
Simon
Ferré
c,
Eva
Izquierdo
a,
Adrien
Khalili
a,
Yoann
Prado
a,
Pierre
Potet
c and
Emmanuel
Lhuillier
*a
aSorbonne Université, CNRS, Institut des NanoSciences de Paris, INSP, F-75005 Paris, France. E-mail: el@insp.upmc.fr
bLaboratoire de Physique de l'Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, Paris, France
cNew Imaging Technologies SA, 1 impasse de la Noisette, 91370 Verrières le Buisson, France
dONERA – The French Aerospace Lab, 6, chemin de la Vauve aux Granges, BP 80100, 91123 Palaiseau, France
First published on 13th June 2022
HgTe nanocrystals, thanks to quantum confinement, present a broadly tunable band gap all over the infrared spectral range. In addition, significant efforts have been dedicated to the design of infrared sensors with an absorbing layer made of nanocrystals. However, most efforts have been focused on single pixel sensors. Nanocrystals offer an appealing alternative to epitaxially grown semiconductors for infrared imaging by reducing the material growth cost and easing the coupling to the readout circuit. Here we propose a strategy to design an infrared focal plane array from a single fabrication step. The focal plane array (FPA) relies on a specifically designed readout circuit enabling in plane electric field application and operation in photoconductive mode. We demonstrate a VGA format focal plane array with a 15 μm pixel pitch presenting an external quantum efficiency of 4–5% (15% internal quantum efficiency) for a cut-off around 1.8 μm and operation using Peltier cooling only. The FPA is compatible with 200 fps imaging full frame and imaging up to 340 fps is demonstrated by driving a reduced area of the FPA. In the last part of the paper, we discuss the cost of such sensors and show that the latter is only driven by labor costs while we estimate the cost of the NC film to be in the 10–20 € range.
The majority of the attention has been drawn to two materials: PbS and HgTe. Lead sulfide has initially been developed as a material for solar cells.28 Its band gap can easily be tuned to match the optimal value for single junction solar cells. In addition, the observation of multi exciton generation29 at moderate pump energies has been seen as a path to overcome the Shockley–Queisser limitation. This widespread application has resulted in a large amount of work spent on this material, both on the material side to improve stability, doping control and carrier mobilities30 and on the device side to design optimized photodiodes.31,32 Alternatively, HgTe is a gap-less semiconductor in bulk form, allowing to explore absorption at wavelengths beyond the PbS band gap, especially in the MWIR. Significant progresses have also been made for this material integration, including demonstration of multicolor sensors,33,34 coupling to light resonators,35–39 or high carrier mobility films.40 When it comes to focal plane arrays (FPAs), most efforts have so far been focused on a vertical geometry, which requires a multilayer deposition. Moreover, photodiode stacks have received far less attention in the case of HgTe, and all reported diodes currently have a top metallic contact (i.e. non transparent) that hinders the coupling to a ROIC. Here, we explore a simpler planar geometry, thanks to a specifically designed readout circuit enabling in plane bias application. Furthermore, the device can be obtained in a single step of fabrication which opens the door to very low-cost infrared imaging setups.
For the readout integrated circuit (ROIC), we use a modified version of the New Imaging Technologies (NIT) ROIC (model 1601 Quantum) allowing for bias application within the plane and presenting a flatter top surface compared to its regular version used to hybridize InGaAs photodiode arrays. The ROIC has a VGA format (640 × 512 pixels, see Fig. 1d) with a 15 μm pixel pitch. The ROIC is then fully packaged onto a ceramic and electronically connected to it through wire bonding, see Fig. 1c and d. To form an image at room temperature, this sensor is then introduced into a compact camera with a SWIR objective which couples the FPA to an electronic controller, see Fig. 1e. Our strategy enables the design of a camera from a single fabrication step. An image obtained from this camera operated at room temperature without a thermal management strategy is shown in Fig. 1f. The associated video is provided as video S1† and the lack of ghost effect should be noted.
To better reveal the operation of our FPA, we have conducted electromagnetic simulations to quantify the device absorption and electrostatic simulations to unveil the field and current mapping. We use an atomic force microscopy (AFM) image for the ROIC topology (Fig. 2a) as input to propose a model of the ROIC. The electrodes are made of a final top gold layer, while the surface is based on Si3N4 as the dielectric. The HgTe QD film thickness is in the 200–400 nm range depending on the ink concentration and the spin coating speed. The formed film is conformal to the substrate, see Fig. S2.†
As stated, the ROIC configuration enables to bias differently two consecutive pixels forming a checkerboard pattern, see the potential map in Fig. 2b as well as the static electric field and current density on Fig. S4.† The typical electric field is around ≈1 kV cm−1 with a limited inhomogeneity resulting from the tip effect in the vicinity of the electrodes. We have simulated the absorption spectrum of the FPA (see Fig. S1† for complex optical index used as input) and found that the absorption at the band edge reaches 30%, see Fig. 2d. Though the exact absorption localization, especially considering tip effects, can strongly depend on the exact geometry chosen to model the pixel, it appears that the absorption is mostly located on the top of the gold electrode, see Fig. 2c. The latter acts as a backside mirror, allowing for a second pass of the light. This condition is ideal for charge collection in a QD film where the conduction is driven by hopping. Indeed, the short diffusion length resulting from the limited carrier mobility makes charge collection more efficient in the vicinity of the electrode.42
In the next stage, we quantified the FPA's dark current as a function of temperature and image integration time. For this purpose, a second camera environment has been built where FPA cooling is now possible thanks to a multi-stage Peltier, see Fig. S5.† The signal output of the camera is digitized over 16 bits. Fig. 3a shows the average charge count as a function of integration time for various temperatures in dark condition. At −4 °C, we notice a clear saturation of the dark counts that corresponds to the full filling of the pixel's capacitance. This limits the integration time below 10 ms. As the temperature is further reduced, the saturation regime shifts toward higher integration times (>200 ms for operation at −32 °C). We fit the thermal dependence of the dark current (slopes of Fig. 3a) with an Arrhenius law which assumes that the current magnitude is given by I(T) = I0·exp(−Ea/kbT), with Ea an activation energy, kb the Boltzmann constant and T the temperature. We can extract an activation energy of 520 meV, see Fig. 3b. In other words, the dark current drops by one order of magnitude every 30 K, which is consistent with the observed shift of the time integration threshold to reach the ROIC capacitance full filling. This reduction of the average dark current is also well highlighted by the histogram of the charge counts for all the pixels of the FPA and an exposure time of 10 ms, see Fig. 3c. We can notice that not only lower temperatures reduce the average dark current but also the linewidth of the distribution.
We investigate the photocurrent signal coming from the FPA to quantify its external quantum efficiency (EQE). Using the following procedure, we measure for a given wavelength the number of charges within the ROIC capacitance as a function of the incident power, see Fig. 4a, S6 and 7.† We perform the same measurement using the same readout circuit coupled to an InGaAs photodiode array with a known absolute EQE (90% in our case), see Fig. S6.† We then compare the relative slope of the QD FPA and the InGaAs one to determine the absolute EQE of the former. We also have checked that the signal is linear as a function of the integration time up to 100 ms (operating temperature is −32 °C in this case, see Fig. 4c), that is the duration over which the capacitance is mostly fulfilled by the dark current as shown in Fig. 3. Obtained EQE values are reported in Fig. 4b and show typical EQE in the 4–5% range. Since the absorption of the band edge has been determined around 30%, the internal quantum efficiency is around 15%. This value is certainly modest compared to the best performing single pixel devices (with EQE reaching 80% for diodes32 and even higher for devices with gain43). On the other hand, there are very few reported EQE values at the FPA level,18 especially based on HgTe QDs. Buurma et al.16 reported a 0.64% EQE, for a 320 × 256 pixel array with a 30 μm pixel pitch, but the cut-off wavelength was also much longer (5 μm) and operation was conducted at cryogenic temperature (100 K). The main reason for the modest EQE is the relatively large electrode spacing, which is highly detrimental in the case of hopping conduction. For PbS QD based FPAs, EQE have been reported up to 60% but at a shorter wavelength (1.4 μm cut-off wavelength19,23,44,45) and drop around 15% for a 2 μm cut-off46 much closer to our device. It is important to stress that all these values based on PbS NCs rely on device geometries that are more complicated to fabricate than our single step FPA. The modest EQE compared to InGaAs certainly prevents the use of such sensor for applications with limited incident photon flux, however as our images prove it, it is already compatible with active imaging and industrial vision (trash sorting, detection of bruise of food…) applications.
The focal plane array can be operated full frame up to 200 frames per second (fps, see in Fig. 4d) and even faster operation can be achieved only selecting a part of the image. A video at 340 fps is proposed as Fig. S8 and video S4† on a 640 × 200 pixels region of interest.
In spite of its basic fabrication the sensor can image all over the NIR and SWIR range. Raw images are processed according to the procedure described in Fig. S9.† Basically, two reference images are collected respectively in the dark and under homogeneous illumination. The dark image will be used as offset, while the picture under illumination is used to generate a gain map. All images are then treated using this procedure. Fig. 5 shows the imaging of vials containing various solvents transparent in the visible. To better highlight the change of contrast between visible and SWIR range, a visible transparent glass substrate coated with ITO (tin-doped indium oxide) and a reflective undoped Si wafer have been added to the front line, see Fig. 5a. As we switched to SWIR imaging using the QD based FPA, we can now see in Fig. 5b, S11 and video S2† through the Si wafer, while the water vial and the ITO/glass substrate now turn opaque. A more systematic study of the spectral dependence of this scene is shown in Fig. 5d–f and S10.† Blackbody radiation can also be detected using the HgTe QD-based sensor as revealed by the large contrast obtained by passively imaging the soldering iron, see Fig. 5c
To finish, we have tried to quantify the cost of such sensors (Table 1). For chemicals, we have used the cost charged at the laboratory level without considering any possible cost disruption relative to bulk ordering. Additional costs include amortization of the equipment, safety equipment, workforce. The cost of a nanocrystal growth has been estimated around 160 € per batch to obtain 16 mL of concentrated solution ([HgTe QD] ≈80 mg mL−1). 77% of the growth cost actually relates to the workforce as it has been already pointed out in the case of QDs dedicated to solar cells.47 This result further emphasizes the need for scaled up syntheses, since the time per synthesis is driving the final cost. As the QD solution is transformed into an ink, its value per liter increases by a factor ≈5 which mostly reflects the increase of concentration (×3.4) of the ink with respect to the pristine solution, now reaching 55 k€ per liter. To functionalize one ROIC, we use 30 μL of ink, meaning that 130 devices can be prepared for a batch of QD (4 mL of ink). The cost of the QD film on the ROIC has been estimated around 16 € per FPA, while the sensor cost is around 70 €. The former value has to be compared with the cost relative to InGaAs sensor estimated around 600 €. This highlights the potential of NC for cost reduction, particularly if scale effects (larger NC batches and wafer scale fabrication) start to be considered. For sure, this cost excludes amortization of research behind this development. It remains that the QD cost becomes a negligible part of the final camera, since for sake of comparison, the cost of a SWIR objective is around 500 €.
Step | Cost | Amount | Cost for this step in € | Comment justification |
---|---|---|---|---|
QD colloidal growth | OLA | 0.13 L | 10.4 | 80 € L−1 |
TOP | 5 mL | 5 | 1000 € L−1 | |
DDT | 10 mL | 0.2 | 20 € L−1 | |
HgCl2 | 1.36 g | 0.9928 | 0.73 € g−1 | |
Te | 0.63 g | 3.2949 | 5.23 € g−1 | |
Alcohol | 1 L | 2 | 2 € L−1 | |
Non-polar solvent | 0.1 L | 2.5 | 25 € L−1 | |
Filter | 1 | 1 | 1 € per filter | |
Glassware | 1 | 1.5 | Schlenk line +50 € for 3 neck flask that can be used 100 times: 1.5 € per use | |
Equipment | 1 | 5 | Balance, centrifuge, hood – 10k € amortization over 5 years, with 400 use per year: 5 € per use | |
Workforce | 2.5 hours | 125 | Assuming 70 k€ annual cost working 1500 hours a year: 50 € h−1 | |
Safety | 6 gloves | 1.8 | 0.3 € per glove | |
Pipette cone | 6 | 3 | 0.5 € each | |
Cost per synthesis in € | 161.7 | |||
Cost per L of QD solution in € |
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Ink preparation | HgCl2 | 0.039 g | 0.02847 | 0.73 € g−1 |
DMF | 23.4 mL | 0.234 | 10 € L−1 | |
MpOH | 2.6 mL | 0.3276 | 126 € L−1 | |
QD | 16 mL | 161.7 | ||
Safety | 4 | 1.2 | 0.3 € per glove | |
Pipette, cone | 6 | 3 | 0.5 € each | |
Workforce | 1 | 50 | Assuming 70 k€ annual cost working 1500 hours a year : 50€ h−1 | |
Cost per ink preparation in € | 216.5 | |||
Cost per ink liter in € |
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Film deposition | QD film | 30 μL | 1.62 | 54![]() |
Deposition | 1 | 3 | Spin coating + hood – 6000€ over 5 years; used 400 times a year: 3 € per use | |
Pipette cones | 6 | 3 | 0.5 € each | |
Workforce | 0.16 h | 8.33 | Assuming 70 k€ annual cost working 1500 hours a year: 50 € h−1 | |
ROIC | 1 | 6.62 | 1000 € for a 8 inches wafer sliced in 151 dies | |
Packaging | 1 | 50 | Bonding, ceramic package… | |
QD cost per sensor in € | ≈16 | |||
Cost per sensor in € | ≈73 |
Certainly, the fact that the technology relies of Hg-based materials may also appears as an obvious limitation. But it should be pointed that the amount of HgTe per sensor is below 8 mg, while including the waste resulting from spin coating deposition. Further optimization of the deposition process, likely using inkjet14 or spray48 deposition, can further reduce this amount around 1 mg. It is thus important to notice that actual amount of toxic compound remains very low in such sensor.
For infrared spectroscopy, we use a Fischer Nicolet iS50 in attenuated total reflection (ATR) mode. The spectra are averaged over 32 acquisitions and have a 4 cm−1 resolution.
Electromagnetic simulations are conducted using COMSOL, a software using Finite Element Method to solve Maxwell's equations. The array of resonators is modelled using RF module in 2D geometry. It is one unit cell and Floquet periodic boundary conditions are used to describe the periodicity. On both sides (top and bottom), we define perfectly matched layers (PML) to absorb all outgoing waves and prevent nonphysical reflections. The absorption calculated comes from the function “emw.Qe” which is the power density dissipated in W m−3. On top of the resonator inside air, a port condition is used to define the incident wave, either in TE or TM polarization. This port is a periodic port where the orders of diffraction are automatically calculated by the software. A specific mesh is used for QD elements where the maximum element size is 20 nm. For all the rest, a predefined “Extremely fine” mesh is used, which means that the maximum element size is 210 nm and the minimum is 6 nm, except for the PML where a mapped mesh is used with a distribution of 12 elements. The inputs of the simulations are the refraction index of the materials which come from ellipsometry measurements for HgTe NCs (see Fig. S1†), from ref. 49 for gold and we use n = 2 and k = 0 for Si3N4,50 where n is the refraction index and k the extinction coefficient.
Electrostatic simulations are also conducted using COMSOL. The array of resonators is modeled using AC/DC module in 3D geometry. Four electrodes are inside a unit cell and the periodic boundary conditions of the type “Continuity” are used. The main inputs of this simulation are the electrical conductivities, calculated experimentally for HgTe NCs (1.54 × 10−4 S m−1), taken from COMSOL database for gold (44 × 106 S m−1) and from ref. 51 for silicon nitride (1 × 10−13 S m−1). The two other diagonal gold blocks are set to 0 V and the two other diagonals gold blocks are set to 1 V. The 4 borders are meshed identically side by side (with a copy face) to prevent any non-physical asymmetry. For all the rest, a predefined “Extra fine” mesh is used, which means that the maximum element size is 1 μm and the minimum is 45 nm.
Footnote |
† Electronic supplementary information (ESI) available: Ellipsometric measurements, simulation of the electric field and current density distribution, additional data relative to EQE determination, imaging at high frame rate, procedure for image correction, additional infrared imaging using band pass filters. We also provide four videos. Video S1 depicts a living scene that is taken while the sun is the only light source. Video S2 depicts the same series of vials containing solvents as shown in Fig. 5a, while the Si wafer/ITO substrate are moved in front of the scene. Video S3 depicts the same series of vials containing solvents as shown in Fig. 5a, while a soldering iron (at 400 °C) is moved in front to show passive imaging of warm objects. Video S4 shows the high frame rate imaging of a chopper wheel while the chopper is in phase or out of phase with respect to the acquisition of the FPA. See DOI: https://doi.org/10.1039/d2nr01313d |
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