`Passive Infrared Imaging Systems
`
`Thomas J. Kulp*, Peter E. Powers, and Randall Kennedy
`Sandia National Laboratories
`Livermore, CA 94551-0969
`
`ABSTRACT
`
`The results of field tests of an active backscatter absorption gas imaging (BAGI) system and a passive imager based on a
`Ga:Si infrared focal-plane array are presented. Both imagers allow real-time video imaging of gas emissions. The former system
`images gases through their attenuation of backscattered laser illumination; the latter images gases through temperature or emissivity
`differences. The results represent the first side-by-side comparison of an active and passive imager and the first BAGI field trial
`involving the imaging of plumes of controlled concentration and dimension.
`
`KEYWORDS: Infrared imaging, lidar, gas detection, remote sensing, laser radar
`
`1. INTRODUCTION
`
`Gas plume visualization using infrared (IR) imaging is a powerful remote-sensing technique for the detection and location of
`fugitive emission sources. By its very nature, imaging allows the instaneous probing of a wide area and presents the results in a
`format that is easily interpreted by the system operator. This can be contrasted with widely used "sniffer"-type point sensors that
`measure gas concentration in a single-point mode and whose output must be numerically-interpreted. Leak-detection using IR
`imaging offers the possibility to greatly accelerate and simplify gas leak detection in a variety of industrial applications that include
`leak detection in natural gas transmission and distributions systems, detection of emissions in complex piping networks at petroleum
`refineries, and leak detection for emergency response applications.
`
`In recent years, we have focused on the development of laser-active IR imaging methods for gas plume visualization. The
`general technique is referred to as backscatter absorption gas imaging (BAGI), and is carried out by illuminating a scene with IR
`radiation as it is being imaged by a real-time IR video imager. When an IR-absorbing gas is present in the imaged region a portion of
`the scene illumination is attenuated, creating a plume image. BAGI systems were originally developed using continuous-wave (cw)
`C02 laser sources coupled to flying-spot-scanned IR cameras to image gases absorbing in the 9- to 11-µm range of the IR1• That type
`of device was later extended for imaging natural gas (and other hydrocarbons) using a 3.39 µm IR helium-neon laser2• A modified
`long-range version of the flying-spot imager was assembled3•4 to allow C02 laser-illuminated imaging at ranges (>300 m) sufficiently
`large for use in a low-flying aircraft. Most recently, a new type of imager was developed for extended-range imaging of natural gas
`(and other hydrocarbon) leaks in the 3-3.5 µm wavelength range5• That imager employed a pulsed laser source whose beam was
`expanded to flood-illuminate the field-of-view ofa gated InSb focal-plane array camera. The continously-tunable nature of the laser
`allowed the first demonstration of two-wavelength differential imaging to enhance gas plume visibility6•
`
`IR imaging of gases via their absorption or emission of passive thermal radiation is also possible. A passive gas imager is
`created by limiting the spectral response of an IR camera to only those wavelengths that are absorbed by the gas to be detected. Gases
`become visible with this instrument if there is a sufficient temperature/emissivity difference between the plume and the background
`scene to cause a scene radiance change that is above the noise floor of the camera. Spectral selection has been accomplished in a
`variety of ways that include the use of discrete bandpass cold filters 7, cold tunable etalon £ilters8, and imaging-mode Michelson
`interferometers9. The signal-processing time required for the latter precludes real-time video output of the imagery.
`
`In this paper, field evaluations of an active and a passive gas imaging system are presented. The active system was the long(cid:173)
`range scanned C02 laser-based imager. The passive imager was a bandpass-filtered Ga:Si focal-plane array (FPA). The test
`conditions differed from earlier field trials in that the observed plumes were generated by a well-characterized plume source and that
`
`*corresponding author
`
`SPIE Vol. 3061 • 0277-786X/97/$10.00
`
`269
`
`FLIR Systems, Inc.
`Exhibit 1012-00001
`
`
`
`this was the first side-by-side comparison of an active and passive imager. In earlier tests, plumes were generated by a point leak
`source that created plumes that were highly variable in concentration and shape. Tests described here were performed under conditions
`allowing both aspects of the imaged plume to be carefully controlled. This allowed determination of the sensitivity of both systems
`at a variety of standoff ranges.
`
`Long-range C02 laser-based imager
`
`2. IMAGER DESCRIPTIONS
`
`A description of the long-range BAGI imager has been presented in the past3•4 and will be summarized here. The imager
`operates in a flying-spot raster-scanned mode to achieve real-time laser illuminated imaging at -50 wavelengths in the 9-11 µm tuning
`range of the line-tunable C02 laser. Its optical layout is shown in Figure I. Scanning of both the 18-W continuous-wave (cw) C02
`laser beam and the instantaneous field-of-view (IFOV) of the single-element detector are accomplished using a pair of
`galvanometrically-driven mirrors. The scan rates of each mirror (3933 Hz horizontal; 60 Hz vertical) are compatible with interlaced
`real-time video rate operation. The scanned transmit and return optical paths are carefully isolated from each other to prevent crosstalk
`and to allow the insertion of a refractive Zn Se telescope in each path. The telescopic expansion of the paths reduces the scanned field
`of view to 3 .6 x 2.6 degrees and increases the collection aperture by a factor of 25 over that of earlier scanners. The imager was
`developed to allow imaging at standoff ranges (>300 m) compatible with operation from a low-flying airborne platform (e.g., a
`helicopter).
`
`Ga: Si focal-plane array
`
`The passive imager was a 128x128 Ga:Si focal-plane array (FPA) that was obtained from Amber, Inc (Goleta, CA) and has a
`spectral response range of 3-18 µm. Other specifications of the array are listed in Table I. During operation, the camera was fitted
`with a cold-filter that passes a narrow band of wavelengths that overlap the absorption band of sulfur hexafluoride, as shown in
`Figure 2. The gas emission was imaged onto the FPA using an f/2 germanium lens.
`
`3. BAGI SENSITIVITY AND RANGE
`
`The sensitivity and range of an active gas imager has been described in the past3•4 . This performance model has been
`modified recently to include speckle noise, laser amplitude noise, shot noise in the active photon return, and analog-to-digital
`conversion noise. The speckle noise power CNsp) is calculated as
`
`N -p( 4AL)
`
`A n:d()
`L
`
`sp -
`
`(1)
`
`where PA is the active return power, A.L is the laser wavelength, d is the receiver aperture diameter, and SL is the laser divergence. The
`laser intensity noise is assumed to be 5%, causing a noise power of 5% in the return signal. The shot noise power is given by
`
`(2)
`
`where vL is the laser frequency, Pp is the passive thermal power collected, ~f is the receiver electronic bandwidth, and Q is the
`detector quantum efficiency. Only the active shot noise is calculated because the passive shot noise is included in the noise of the
`detector. The analog-to-digital conversion noise power is
`
`assuming a return signal spanned to the mean of the 64-bit analog-to-digital converter and a noise level of 0.5 bits.
`
`N
`AD
`
`==PA (0.5) ==PA
`32
`64
`
`(3)
`
`270
`
`FLIR Systems, Inc.
`Exhibit 1012-00002
`
`
`
`I
`
`I
`
`I
`
`I
`
`I
`
`l.t>rtlcal scanmrror
`
`Telescope objective elements
`
`I
`
`,/'"""Lens
`11
`--..... -. 'Ill' ......
`... ll.l - -:.
`
`\_ Flterad HgCdTe detector
`
`Telescope objective elements
`
`Figure I - Optical layout of the long-range BAGI imager.
`
`750
`
`800
`
`850
`
`900
`
`950
`
`1000
`
`1050
`
`1100
`
`1 SF6 in nitrogen
`5 cm pathlength
`1
`
`80
`
`I
`I Filter bandpass @ 20K
`
`:/ 60 ~
`
`I
`
`:!!
`
`iil
`"
`"' 3
`;;;-
`40 i5·
`"
`~
`20
`
`1.6
`
`1.4
`
`1.2
`
`1.0
`
`0.8
`
`0.6
`
`0.4
`
`0.2
`
`0.0
`
`750
`
`800
`
`1000
`950
`900
`850
`Energy (wavenumbers)
`
`0
`1100
`
`1050
`
`Figure 2 - Plot of the passive imager bandpass at 20K and the sulfur hexafluoride absorption band.
`
`Table I - Ga:Si FPA S ecifications
`128 x 128
`43 m
`
`D*
`
`4e7 electrons
`lel I cmHz w-
`
`271
`
`FLIR Systems, Inc.
`Exhibit 1012-00003
`
`
`
`Figure 3 shows plots of the predicted total noise power and the contributions to the total from each source as a function of
`range. The first plot excludes speckle and the second plot includes it. This distinction is made because two regimes of speckle noise
`exist that affect BAGI imaging differently. They are termed correlated and uncorrelated speckle. Correlated speckle appears as a
`temporally-invarient spatial intensity modulation in an image. Uncorrelated speckle appears as a randomly-varying temporal
`modulation on each pixel. In the former, the return power at each pixel is fixed in time but the variation in return power among a
`group of pixels viewing a uniformly-reflecting object is given by (1). In the latter, the return power at each pixel varies randomly in
`time with a standard deviation dictated by ( 1 ). The correlated speckle is viewed as a source of fixed-pattern intensity noise, but not a
`temporal noise source. Thus, under correlated conditions, speckle is excluded from the noise term in BAGI calculations .
`
`• 5
`10
`
`1 0 ·6
`
`-7
`1 0
`
`1 o·•
`
`c Gl ... > ·:;
`
`C" w
`Gl
`
`1 0 -9
`
`"' ·c;
`z 1 o-10
`
`-Total
`·--· Detector
`--···Laser
`- - - Active Shot
`-·-ADC
`
`...........
`'
`............ ::: ...... ._..:.:.•·:;,•·:.:.··:.:··:··:··:··••••:•:::: .. :.:::.:: ...... _ . .,_,••;··::.;··:·•: ... :.:.:.:.:::::::::a.
`-·- ....
`----- ... --
`----,
`--- ......
`
`·6
`10
`
`.7
`1 0
`
`·•
`1 0
`
`100
`
`200
`Range
`
`(m)
`
`300
`
`400
`
`1 0" 5 _ , - - - - - - - - - - - - - - - - - - - - - - - - - . . . . . 1 0" 5
`
`~ -6
`-
`10
`;
`;;:
`0
`D.
`
`c
`.!! .. . :::
`
`::>
`C" w
`
`Gl
`
`"' "Ci
`z
`
`·B
`1 0
`
`·10
`1 0
`
`. ' . . ' '," ........
`
`'•
`
`-Total
`·--· Detector
`··-·· Laser
`- - • Active Shot
`··-··Speckle
`-··ADC
`
`-6
`1 0
`
`-7
`1 0
`
`-8
`1 0
`
`-10
`1 0
`
`', "' .......
`' ........... .......... ...
`....
`...... ,., .......... ...... -...
`' . ..._
`-...... "'
`. ...... .
`............. ............
`- .. ____ _
`___ , _ _ _ _ _ _ _ _ _
`••••••••~n~••~•Wi1•:.:,••:::•:•u•••••••••u•••••••••••••••:••:':":•;::,,"9t,,..,V,C:':,:•::,::•::n•oo~o:.:.:.:,':'.';,'!',':o•d.-
`"""----- ....... _ ..
`-11
`-11
`10 . . . .L . - - - - - - r - - - - - - - r - - - - - - - r - - - - - - -+ -1 0
`400
`200
`300
`100
`Range
`
`(m)
`
`Figure 3 - Calculated noise powers for the long-range BAGI imager. Total powers and the different contributions to the total are
`plotted. The top plot excludes speckle noise; the bottom includes it.
`
`272
`
`FLIR Systems, Inc.
`Exhibit 1012-00004
`
`
`
`Figure 4 shows the signal-to-noise ratio in the total backscatter signal predicted by the model. Three cases are shown that are
`derived assuming different noise contributions. The electro-optically limited curve shows the predicted signal-to-noise ratio expected
`in the video display electronic signal due to all electro-optic noise sources except speckle .. The visually limited curve is derived
`assuming1 that the eye is sensitive to contrast changes greater than or equal to an empirically-determined level of 1 part in 12 of the
`mid-greyscale. This introduces an effective noise of 1112 of the mid-greyscale (or it limits the signal-to-noise to a maximum of 12)
`that is added to the electro-optic noise (speckle is still not included). The speckle-limited curve is determined by adding uncorrelated
`speckle noise to the other noise sources. In the graph, the two latter curves are shown to make an abrupt transition to the uncorrelated
`speckle limit at a range of ~250 m. This transition was determined arbitrarily and is shown because a transition similar to this was
`observed in many of the field measurements3,4. On several occasions an abrupt change from correlated to uncorrelated speckle was
`found to occur at a target range of 200-250 m. If the transition did not occur, the visually-limited curve would intersect the electro(cid:173)
`optically-limited curve at some range.
`
`Figure 5 shows the noise-equivalent absorbance (NEA) that is derived from the signal-to-noise ratios for the conditions in
`Figure 4. Visually-limited resolution limits the NEA to near 0.1 at short ranges. Uncorrelated speckle would limit the NEA to a
`very low sensitivity (0.38). The arbitrary transition to uncorrelated speckle shown in the SIN plot is represented in the NEA plot.
`
`The maximum range of the imager has been defined1 as the point where the backscatter signal-to-noise ratio falls to a level at
`which the NEA just equals the visually-detectable threshold (i.e., where S/N=12). The model is used to calculate the laser power
`required to reach this point as a function of range. This is shown in Figure 6 for the long-range imager configuration. A curve is
`plotted for minimum and maximum zoom because the time-of-flight misalignment of the laser spot and the IFOV has not been
`compensated for in this imager. At mid-zoom, the model predicts a power requirement of about 14 W to achieve a range of 400 m.
`
`Electro-optically limited
`
`\
`
`0
`ai 1 5
`a:
`
`GI
`UI
`
`~ 10
`
`. 0 -.
`
`I'll
`c
`m
`(/)
`
`5
`
`Visually limited
`
`'-Uncorrelated
`speckle onset
`1
`"\\ ,,
`\~
`•'
`\\
`...... ~~=:~~~ .. ~!.~!.~:~ ..................................... ~~-=-·=··=-=··:.:::..= .. :.=
`
`20
`
`1 5
`
`1 0
`
`5
`
`0
`
`0
`
`100
`
`200
`Range
`
`(m)
`
`300
`
`400
`
`Figure 4 - Calculated signal-to-noise ratio of the long-range BAGI imager.
`
`273
`
`FLIR Systems, Inc.
`Exhibit 1012-00005
`
`
`
`Q)
`(.)
`:; 0.4-
`...
`..c
`0
`I/)
`..c
`
`ca 0.3--c
`Q)
`ca 0.2-
`>
`::J g-
`
`I
`
`Visually limited
`: 0.1-f--------------------,
`
`Speckle limited
`,, ,.
`--.. -.... --.... -... -. --....... -......... -. ,.----------·-·--··
`-
`- -
`- -
`- -
`• - •. -
`
`Uncorrelated ~ :'
`,j
`speckle onset
`I• ,,
`I• '
`J
`
`/'
`
`0.4
`
`0.3
`
`0.2
`
`0.1
`
`-
`
`-
`
`-
`
`0
`z
`
`I - .
`
`• .,;
`
`Electro-optically limited
`0.0-+~~~~~~lr-~~~~-.....-l~~~~ .......... ~~~~~-+- 0.0
`0
`100
`200
`300
`400
`Range (m)
`
`Figure 5 - Calculated noise-equivalent absorption for the long-range BAGI imager.
`
`~ 15
`
`... Q) ::
`0 1 0
`c..
`...
`Q)
`I/)
`ca
`...I
`
`5
`
`0
`
`100
`
`200
`Range (m)
`
`300
`
`Figure 6 - Predicted laser power requirement versus range for the long-range BAGI imager.
`
`4. TEST CONDITIONS
`
`The field trials were carried out at the Remote Sensor Test Range (RSTR), located at the Department of Energy's Nevada
`Test Site. A central feature of the RSTR is a large wind tunnel (see Figure 7) that has been adapted to create controlled plumes of
`volatile chemicals at its exit nozzle. The species to be emitted are introduced into the wind tunnel through an array of nozzles located
`near the air intake. The rate of chemical introduction and the flow rate through the tunnel are remotely-controlled to generate a 2-m(cid:173)
`diameter region of laminar flow having the desired concentration of the diluted species at the exit point.
`
`274
`
`FLIR Systems, Inc.
`Exhibit 1012-00006
`
`
`
`Flow regulator
`
`Supply
`
`Load cell
`
`Figure 7 - Diagram of the RSTR wind tunnel facility.
`
`During the tests, the imagers were mounted to view out of the rear of a mobile lidar vehicle, and were positioned to view the
`generated plume. The goal was to simulate a situation in which a plume would be viewed in a downward-looking fashion from an
`imager mounted in a helicopter. A 12-ft square panel was positioned behind the laminar region to serve as a backscattering surface.
`The panel was covered with two different grades of silicon carbide abrasive paper that have been determined to have reflectivities at
`10.6 µm of 0.02-0.03 sr-1, respectively10. These reflectivities are comparable to that of an average terrestrial surface.
`
`The imagers viewed releases of sulfur hexafluoride gas at concentrations between 1 and 140 ppm. Imaging was done at
`standoff ranges between 90 and 360 m. As data were collected, the target temperature and theair temperature near the target were
`logged with thermocouples. This allowed correlation between the air-target temperature differential and visibility of the gas plume.
`
`5. TEST RESULTS
`
`Three tests were performed during the three-day duration of the field trial. These were (1) BAGI sensitivity determination
`(90-m standoff range); (2) BAGI/passive performance comparison (90-m range); and (3) BAGI/passive range evaluation (90-360-m
`ranges). In all tests, imagery was recorded on SVHS tape. At this time, only visual analysis of the results has been completed.
`Figure 8 shows examples of BAGI images under conditions of no gas, 3-ppm of SFfo and 40-ppm of SF6. Figure 9 shows a plume
`generated by the passive imager at 40-ppm SF6.
`
`The BAGI imager was found to image SF6 at concentrations as low as 1.3 ppm at the 90-m location. Detection of0.7 ppm
`was attempted, but was not visible. Thus, the sensitivity limit is somewhere between 0.7 and 1.3 ppm. Visualization of the 1.3-
`ppm release required considerable manual adjustment of the video gain and offset to accentuate the plume contrast. At longer ranges,
`imaging was only attempted at concentration of 2 ppm and above. Those plumes were visible at all ranges attempted, up to 360 m.
`Visually-adequate backscatter returns from the target panel were detected at all ranges as well, although the signal was noticeably
`fading at the longest distance. The observed speckle pattern remained moderately correlated over all ranges at which tests were made.
`This may be attributed to the very low wind speeds that were encountered during all test periods and to the very rigid mounting of the
`target panels.
`
`During the BAGI perfonnance comparison, the passive imager generated discernable plume imagery at concentrations down
`to 4.5 ppm. At other times, however, the gas was invisible at concentrations as high as 40 ppm. The variability is the result of
`changes in the relative temperature of the air and target. Figure 9 shows a plot of the air and target temperatures that were measured
`during one of the test days. There was a clear differential of -6-8 degrees during the early part of the day; however, the temperatures
`equalized later. The figure also shows imagery of two 40-ppm releases made during those two distinct time periods. Range
`performance of the passive FPA was limited to less than 250-300 m by spatial resolution due to the inability of the camera to zoom.
`The camera is otherwise able to operate at essentially unlimited range because it does not have the R-2 signal intensity dependence of
`an active sensor.
`
`275
`
`FLIR Systems, Inc.
`Exhibit 1012-00007
`
`
`
`Figure 8 - BAGI plume images taken at a range of 90 m at the RS1R wind tunnel facility. Top left image is taken with no gas release
`top right image is taken with a 3-ppm release; lower image is taken with a 40-ppm release.
`
`6. DISCUSSION AND CONCLUSIONS
`
`The results represent the first BAGI data collected on plumes of controlled geometry and concentration. Although a more
`quantitative image analysis of the data should be carried out, the qualitative visual interpretation provides some useful conclusions:
`
`(l) The implemented design of the long-range imager meets the design goals of providing adequate mean active return signals at
`ranges of 300 m or more.
`
`(2) The sensitivity of the imager was found to be less than that assumed in the past--a concentration range of 0.8-1.3 ppm (l.2-2.6
`ppm-m roundtrip) should cause a round-trip attenuation of between 14% and 28%. This was seen only with some difficulty and is
`significantly higher than the assumed sensitivity threshold of 8%.
`
`(3) Laser speckle did not present as great a temporal noise source as in the past3·9• A complete transition to twbulent speckle did not
`occur, even at ranges as great as 360 m. This may be attributed, in part, to low winds and to more stable mounting of the target
`panels. The fixed-pattern speckle noise does, however, limit the dynamic range of the imager and the ability to accentuate weak
`absorptions. Partial speckle decorrelation may have caused the reduction of sensitivity from the predicted NEA of -0. l (Figure 5)
`to the observed NEA of0.15-0.28.
`
`(4) The passive imager exhibited significant variations in its performance. Sensitivities about a factor of 2 worse than the BAGI were
`observed at moderate (5-7 C) air-target temperature differences. At lower differences the signal deteriorated substantially. These
`observations are relavant to an imager of this type--an imager using higher resolution spectral discrimination or differential
`processing may exhibit better sensitivity.
`
`276
`
`FLIR Systems, Inc.
`Exhibit 1012-00008
`
`
`
`25
`
`-
`
`0 -
`
`10 11 12 13 14 15 16
`Time of Day (hr)
`
`Figure 9 - Passive images collected during 40-ppm SF 6 releases at two different times during the day. The target and air temperature
`during the day are plotted below. Arrows indicate the times at which the measurements were made.
`
`At this time, quantitative analysis of the images will allow further refinement of the BAGI sensitivity and explanation of the
`discrepency noted in (2). More detailed comparisons of the active and passive approaches should be made in the future. The latter is
`attractive because of its unlimited range and spectral bandwidth, and its simplicity and freedom from speckle noise. Its use must,
`however, be accompanied by the assumption that the required temperature and/or emissivity differences between the gas and
`background will always exist. This assumption is not necessary in active imaging.
`
`7. REFERENCES
`
`l. T.G. McRae and T.J. Kulp, "Backscatter absorption gas imaging: a new technique for gas visualization," App. Opt. 32, 4037-4050
`(1993).
`
`2. T.G. McRae and L.L. Altpeter, Proc. 1992 Intl. Gas Research Conf 2, 312 (April 1993).
`
`277
`
`FLIR Systems, Inc.
`Exhibit 1012-00009
`
`
`
`3. T.J. Kulp, R. Kennedy, D. Garvis, L. Seppala, D. Adomatis, and J. Stahovec, "Further advances in gas imaging: field testing of
`
`an extended-range gas imager," in Proceedings of the International Conference on Lasers '90, D.G. Harris and J. Herbelin, eds.
`
`(Society for Optical and Quantum Electronics, McLean, Va., 1991), pp. 407-413.
`
`4. T.J. Kulp, R. Kennedy, M. Delong, and Darrel Garvis, "The development and testing of a backscatter absorption gas imaging
`
`system capable of imaging at a range of 300 m," in Applied Laser Radar Technology, Gary M. Kamerman and William E. Keicher,
`
`eds. Proc. Soc. Photo-Opt. lnstrum. Eng. 1936, 204-212 (1993).
`
`5. T.J. Kulp, P.E. Powers, R. Kennedy, and U.-B. Goers, "The development of a pulsed backscatter absorption gas imaging system
`
`and its application to the visualization of natural gas leaks", in preparation for submission to Applied Optics.
`
`6. P.E. Powers, T.J. Kulp, and R. Kennedy, "Differential absorption gas imaging", preceding paper in this proceedings.
`
`7. M. L. G. Althouse, "Chemical vapor detection and mapping with a multispectral forward-looking infrared (FLIR)," in Optical
`
`Instrumentation for Gas Emissions Monitoring and Atmospheric Measurements, J. Leonelli, D.K. Killinger, W. Vaughen, and
`
`M.G. Yost eds. Proc. Soc. Photo-Opt. Instrum. Eng. 2366, 108-114 (1994).
`
`8. W.J. Marinelli and B.D. Green, "Infrared imaging volatile organic carbon field sensor," in Optical Remote Sensing for
`
`Environmental and Process Monitoring, VIP-55, 245-254 (1995).
`
`9. C.L. Bennett, M. R. Carter, and D.J. Fields, "Hyperspectral imaging in the infrared using LIFTIRS," in Optical Remote Sensing
`
`for Environmental and Process Monitoring, VIP-55, 267-275 (1995).
`
`10. H. Henshall and J. Cruickshank, "Reflectance characteristics of selected materials for reference targets for 10.6 µm laser radars,"
`
`Appl. Opt. 27, 2748-2755 (1988).
`
`278
`
`FLIR Systems, Inc.
`Exhibit 1012-00010
`
`