Physics, P-DO
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Optical Pyrometry on the Armando Subcritical Experiment
C.M. Frankle, D.B. Holtkamp (P-22), S.D. Borror, R.B. Corrow, J. Crystal, L. Woo (Bechtel Nevada) IntroductionThe Armando subcritical experiment (SCE) was the final shot in the Stallion series of SCEs, also consisting of two previous shots, Mario and Rocco. The primary objective of the Stallion series was to investigate differences in material properties between cast and wrought plutonium driven by high explosives (HE). The Armando experiment contained two plutonium/HE packages, which were identical except one contained wrought plutonium driven by high explosives (HE). The Armando experiment contained two plutonium/HE packages, which were identical except one contained wrought plutonium while the other held cast plutonium. The two packages were also identical to those fired on Mario and Rocco. While Mario and Rocco were primarily diagnosed using point techniques, Armando was primarily diagnosed using an area technique (radiography). However, two diagnostics were common to all three shots—a single-point velocimetry measurement using the velocity interferometer system for any reflector (VISAR) and optical pyrometry. The optical-pyrometry technique measures the surface temperature of the plutonium as it is heated by the passage of the HE’s shock wave. Light is emitted from an ideal blackbody surface based on its temperature in accordance with Planck’s law:
Here Lλ is the radiance in W/m2 sr m, c is the speed of light, h is Planck’s constant, λ is the light’s wavelength, k is Boltzmann’s constant, and T is the temperature. In order to perform the measurement, a pyrometer is constructed using high-speed photomultiplier tubes (PMTs) filtered to be responsive to certain wavelength bands. Due to the explosive nature of the experiment, the pyrometer is located remotely from the package. An optical probe collects the light emitted from the plutonium surface and is sent over ~ 100 m of 1 mm diameter optical fiber. High-speed digitizers then capture the signals from the PMTs. Pyrometry data was successfully returned from Mario, Rocco, and Armando. The data is currently being analyzed. Pyrometer DesignThe pyrometer system was specifically designed to meet the needs of the Stallion SCE series. In other words, the expected range of temperatures and the operating conditions of the overall experiment dictated the selection and layout of components. Armando required two identical pyrometers, one for each plutonium piece. One of our primary considerations was measuring temperatures in the range of ~ 300 °C to ~ 1200 °C, to operate with timing resolution of a few ns, and to coexist with large quantities (many Watts) of 532 nm light from the VISAR lasers. Referring to Figure 1, the operation of the pyrometer is as follows. First, light from the transporting optical fiber is brought into reasonable focus using a lens. The light then impinges on an OD6 holographic-notch filter which passes all light except those in a 10 nm wide band around 532 nm. The 532 nm light is reflected backward into a beam dump. The notation “OD6” indicates that the intensity of 532 nm light is reduced by a nominal factor of 106 in passing through the filter. After passing the first holographic-notch filter, the beam is bent 90° using a turning mirror. It then passes through a second OD6 holographic-notch filter for a total reduction of 532 nm light of up to 12 orders of magnitude. The beam then passes through a lens to further adjust the focus before proceeding through a series of dichroic beam splitters. Each beam splitter reflects wavelengths shorter than a cutoff value into the PMT designated to measure a corresponding wavelength band. Each PMT also has a lens in front of it to focus the incident light for optimal geometric coverage of its photocathode. A passband filter is also used with each channel to define the wavelength coverage. The longest wavelengths are sent to channel 1 using a turning mirror instead of a beam splitter. Armando Experiment DesignThe Armando experimental package was designed to allow for simultaneous firing of two plutonium/HE subassemblies, identical except for the initial plutonium shaping technique. These two subassemblies were mounted on the top and bottom of a six-sided (HEX) package (Figure 2). The central tube provided optical access for the pyrometry and VISAR diagnostics. Our colleagues at Bechtel Nevada (BN) did an outstanding job at designing an integrated optical probe, incorporating the needs of both the pyrometry and VISAR teams. The VISAR transmit fiber was mounted in a small hole drilled through the center of the two lenses which were mounted at the front of the probe. Return light for the VISAR was then focused on a receive fiber mounted behind the transmit fiber. The larger, 1 mm diameter, pyrometry fiber was mounted off-axis to the probe so that it received light from a spot on the plutonium surface approximately 1 cm away from the spot illuminated by the VISAR laser. This scheme is illustrated in Figure 4. A photograph of a completed probe is shown in Figure 5. One probe was inserted in each side of the hex package central tube.
Pyrometer OperationBefore the experiment, each pyrometer must first be calibrated with a blackbody source to obtain the relationship between measured output voltage on the PMTs and the incident radiance. The procedure is to set the blackbody at a specified temperature and measure the output voltage on each PMT. The radiance for each channel can then be calculated by
where Lλ is as before and ε i is the emissivity. For a blackbody, the emissivity is unity and the radiance is easily calculated using the known bandpass characteristics of each filter. An example of the resulting calibration data is shown in Figure 6. In the experiment, we measure a voltage, which has a corresponding radiance Li(λ,T), for each pyrometer channel. However, unlike in the calibration case, we do not know the emissivity of the plutonium surface. Hence, we have N measurements but N+1 unknowns, corresponding to the N unknown dynamic emissivities plus the temperature. In order to address this difficulty, we make two assumptions:
For example, the emissivity must have an upper bound of 1, corresponding to that of a blackbody. A reasonable lower bound might be the static emissivity of a freshly machined or polished surface. With these assumptions an additional 2N of constraints are introduced, allowing a temperature (and associated uncertainty) to be derived. Note that due to the shape of the radiance curve, the shorter wavelength channels most strongly constrain the temperature. AcknowledgmentWe gratefully acknowledge the contributions of the many individuals at LANL and BN who helped make this experiment possible. This work was funded by the U.S. DOE Office of Defense Programs. For further information, contact Chris Frankle, 505-665-4138, cfrankle@lanl.gov. |