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PNNL-13501 - Pacific Northwest National Laboratory

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output signal processing. The initial modeling effort<br />

focused on the mathematical modeling of the frequency<br />

modulation system. Formulas and mathematical<br />

techniques have been developed to predict the detected<br />

frequency modulation harmonic amplitudes as a function<br />

of wavelength, modulation frequency, modulation index,<br />

and absorption line shape. A direct detection numerical<br />

model for the detector and preamplifier has been<br />

developed and implemented that incorporates the effects<br />

of thermal background induced photo-current, dark<br />

current, signal current, and Johnson noise. Initial<br />

modeling calculations at medium ranges (5 km to 30 km)<br />

indicated that very high detection sensitivity is required.<br />

Therefore, a heterodyne detection model was<br />

implemented to detect near the signal shot noise limit.<br />

Conventional differential absorption lidar systems<br />

developed using pulsed CO2 lasers are performance<br />

limited by the effects of target-induced speckle. A<br />

numerical model predicting the effects of speckle for<br />

frequency modulation systems has been developed.<br />

frequency modulation-based systems differ significantly<br />

from conventional differential absorption lidar systems<br />

because the laser is continuously modulated in frequency<br />

rather than jumping between two discrete frequencies.<br />

One-dimensional and three-dimensional numerical<br />

simulations are used to develop formulas predicting the<br />

signal-to-noise ratio performance of a frequency<br />

modulation system due to target-induced speckle. These<br />

formulas predict that speckle can be mitigated by using a<br />

small illuminated spot (at close range) which maintains<br />

the speckle pattern as common-mode, or by using a large<br />

illuminated spot (at medium to long ranges) that allows<br />

for significant speckle averaging. The frequency<br />

modulation-based system will have additional averaging<br />

due to the de-correlation of the speckle pattern as the laser<br />

frequency is modulated. This may represent a significant<br />

advantage over conventional lidar systems.<br />

The atmospheric model includes the effects of<br />

atmospheric turbulence and absorption. Turbulence<br />

causes small index of refraction variations that induce a<br />

finite transverse coherence length, additional beam<br />

divergence, and intensity scintillation. Formulas<br />

predicting these effects have been obtained through the<br />

technical literature and have been incorporated into the<br />

model. Extensive models of atmospheric absorption have<br />

been developed by the U.S. Air Force. This software<br />

(FASCODE/HITRAN) is available and has been<br />

implemented at our <strong>Laboratory</strong> to predict the atmospheric<br />

background transmission spectrum.<br />

The models developed under this project were used to<br />

predict detection limits for two unmanned airborne<br />

398 FY 2000 <strong>Laboratory</strong> Directed Research and Development Annual Report<br />

vehicle scenarios. A medium range Predator scenario was<br />

assumed to operate at a range of 6.5 kilometers with<br />

10 cm diameter optics, and a long-range Global Hawk<br />

scenario was assumed to operate at 30 km with 20 cm<br />

diameter optics. The modeling predicted that sensitive<br />

chemical detection for both scenarios would require<br />

heterodyne detection coupled with speckle mitigation.<br />

Efficient heterodyne detection required that the returned<br />

light have a relatively uniform phase-front. Speckle<br />

mitigation through averaging required a highly speckled<br />

(nonuniform) phase-front. Therefore, a speckled<br />

wavefront would not be detected efficiently using a<br />

heterodyne detection system. One solution may be to use<br />

small two-dimensional coherent arrays for detection. The<br />

phase-front can be made relatively uniform over each<br />

array element if the element has a size comparable to the<br />

diameter of a speckle lobe at the focal plane, and would<br />

allow simultaneous speckle mitigation and sensitive<br />

heterodyne detection.<br />

Experiments were conducted using short-wave infrared<br />

optics to determine possible heterodyne detection<br />

architectures. A frequency offset homodyne architecture<br />

was constructed for bench-scale experiments (Figure 1).<br />

This setup used an acousto-optic modulator to frequency<br />

shift a local-oscillator beam relative to the transmitted<br />

beam to perform the heterodyne mixing. Experiments<br />

were conducted with heterodyne beat detection limits<br />

approaching theoretical levels.<br />

Figure 1. Shown is a bench-scale system to study different<br />

frequency modulation-formatting schemes. Also included is<br />

a short-wave infrared lasers imaging camera and monitor<br />

used to help align the heterodyne beams to high precision.<br />

Heterodyne Chemical Sensing<br />

Self-referenced homodyne offset detection was used to<br />

enhance signal recovery of weak signals due to the<br />

specular component of scattering. We postulated several

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