Planck Pre-Launch Status Papers - APC - Université Paris Diderot ...

F. Villa et al.: Calibration of LFI flight model radiometersTable 2. Reference load target temperature.RCA27MSa 5.7 ± 0.2 2.5 ± 0.1b 0.58 ± 0.02 0.81 ± 0.01c 0.00686 ± 5.8 × 10 −4 0.00322 ± 3.2 × 10 −4RCA28MSa 2.47 ± 0.05 5.50 ± 0.09b 0.799 ± 0.007 0.57 ± 0.01c 0.00407 ± 2.5 × 10 −4 0.00831 ± 4.1 × 10 −4Table 3. Temperarture of the sky load pyramids. Quadratic fit coefficients.30 GHz 44 GHza 0.9185 ± 0.0006 0.5430 ± 0.008b 0.9540 ± 0.0001 0.9795 ± 0.0008c 0.0008460 ± 4.4 × 10 −6 0.000217 ± 1.9 × 10 −5Notes. Quadratic fit coefficients.Fig. 4. T sky as a function of back plate controller skyload temperatureT ctrlsky. The left plot refers to the 30 GHz RCAs, based on RCA28 data(circles). The right plot refers to the 44 GHz RCAs, based on RCA25and RCA26 data (squares). The lines are the quadratic fit to the data.Fig. 3. Thirty minutes of data acquired during RCA28. Noisetemperatureand linearity tests are shown with T ctrlsky in red, T sky in green, andin blue. This represents the worst case of these differences. Thestability of the temperatures with the values T ctrlsky= 8.50000 ± 0.00006,T sky = 9.0981 ± 0.0004, and T side = 9.9560 ± 0.0007 are also evident.skyT sideskycavity was covered with Eccosorb pyramids to guarantee a returnloss of about −30dB. Details of the skyload are reportedin Cuttaia (2005). Four temperature sensors were placed on thesky load, but only two cernox sensors were taken as referencefor calibration. The first one was placed on the back plate of thesky load to measure the temperature of the PID control loop ofthe sky load, T ctrlsky .ThesecondwasplacedontheEccosorbpyramidsinside the black body cavity and was assumed as the blackbodyreference temperature, T sky .Thecontributiontotheeffectiveemissivity due to the pyramids was estimated by Cuttaia(2005) tobe0.9956 for the 30 GHz channel and 0.9979 for the44 GHz channel. The effective emissivity was calculated assumingthe horn near field pattern and the emissivity of the material.In the case of the skyload side walls the effective emissivity is4.29 × 10 −3 and 2.07 × 10 −3 for the 30 GHz and 44 GHz respectively.In the data analysis only the contribution of the pyramidswas considered assuming its emissivity equal to 1. Assuming theemissivities reported above and the temperatures as in Fig. 3,the approximation leads to an uncertainty in the brightness temperatureof about 0.04 K and the same uncertainty in the noisetemperature measurements.Due to a failure in the sensor on the pyramids an analyticalevaluation of T sky temperature from T ctrlskytemperature wasperformed during the calibration of RCA24 and RCA27. Thedata are shown in Fig. 4. Althoughthedatashowalinearbehavior,the differences between T ctrlsky and T sky decrease as theFig. 5. Differences between T sky and T ctrlskyas a function of Tctrlsky showingthe non-linear behavior of the difference. Circles are for 30 GHz RCAsand squares for 44 GHz RCAs.temperature increases (see Fig. 5) asexpectedfromthethermalbehavior of the system, suggesting that a quadratic fit withT sky = a+b·T ctrl ctrl 2sky+c·(Tsky)is more representative. This quadraticfit was performed, and the coefficients are reported in Table 3.3.3. The cryofacility of the 70 GHz RCAsThis cryofacility has the dimensions 1.6 × 1.0 × 0.3 m 3 .Thefacility has a layout similar to that at 30–44 GHz, although the70 GHz facility was designed to house two radiometer chainssimultaneously (Fig. 7).Page 5 of 14