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Analysis of Errors in Recording and Reading of a Holographic Prism on Photothermorefractive Glass
The influence of deviation of recording and reading conditions of multiplex Bragg gratings from calculated values on the parameters of restorable fan of beams of a holographic prism (HP) formed by Bragg gratings in photothermorefractive glass is analyzed. Deviations are specified either as a rotation of the sample around one of three orthogonal axes Oxyz or as simultaneous rotation of the sample around two axes. It is shown that errors in the sample installation do not affect quality of the HP in recording if all gratings are recorded with the same deviation from an ideal position. However, difference in errors at the recording of each grating results is a reduction of flatness of fan of the HP and a loss of its working capacity. Ultimate values of errors of rotation around the Ox and Oy axes allowing one to maintain HP functionality, i.e., simultaneous reconstruction of all its beams, are calculated. It is established that, in the case of an ideally recorded HP, errors in the stage of reading may result in twisting the fan and disrupting its flatness.
Astrometry of OH/IR Stars Using 1612 MHz Hydroxyl Masers. I. Annual Parallaxes of WX Psc and OH138.0+7.2
We report on the measurement of the trigonometric parallaxes of 1612 MHz hydroxyl masers around two asymptotic giant branch stars, WX Psc and OH 138.0+7.2, using the NRAO Very Long Baseline Array with in-beam phase referencing calibration. We obtain a 3σ upper limit of ≤5.3 mas on the parallax of WX Psc, corresponding to a lower limit distance estimate of ≳190 pc. The obtained parallax of OH 138.0+7.2 is 0.52 ± 0.09 mas (±18%), corresponding to a distance of 1.9{sub −0.3}{sup +0.4} kpc, making this the first hydroxyl maser parallax below one milliarcsecond. We also introduce a new method of error analysis for detecting systematic errors in the astrometry. Finally, we compare our trigonometric distances to published phase-lag distances toward these stars and find a good agreement between the two methods.
Analysis of errors introduced by geographic coordinate systems on weather numeric prediction modeling
Most atmospheric models, including the Weather Research and Forecasting (WRF) model, use a spherical geographic coordinate system to internally represent input data and perform computations. However, most geographic information system (GIS) input data used by the models are based on a spheroid datum because it better represents the actual geometry of the earth. WRF and other atmospheric models use these GIS input layers as if they were in a spherical coordinate system without accounting for the difference in datum. When GIS layers are not properly reprojected, latitudinal errors of up to 21 km in the midlatitudes are introduced. Recent studies have suggested that for very high-resolution applications, the difference in datum in the GIS input data (e.g., terrain land use, orography) should be taken into account. However, the magnitude of errors introduced by the difference in coordinate systems remains unclear. This research quantifies the effect of using a spherical vs. a spheroid datum for the input GIS layers used by WRF to study greenhouse gas transport and dispersion in northeast Pennsylvania.
Analysis of error growth and stability for the numerical integration of the equations of chemical kinetics
Error growth and stability analyzed for numerical integration of differential equations in chemical kinetics
An analysis of errors resulting from on-board recording of PCM/FM telemetry data for the Apollo telescope mount /ATM/.
Bit-slippage errors due to onboard tape recording of PCM/FM telemetry data for Apollo Telescope Mount, noting roles of S/N ratio, data characteristics, etc
Comparative analysis of errors in different methods of calculating L, B-coordinates
Due to considerable difficulties of calculating L, B-coordinates, several simplified methods are currently used. The relative errors in L, B-coordinates calculated by approximate methods are given. It is suggested that different methods be used to calculate L, B-coordinates in the solution of various problems.
The influence of orbit selection on the accuracy of the Stanford Relativity gyroscope experiment
This paper discusses an error analysis for the Stanford Relativity experiment, designed to measure the precession of a gyroscope's spin-axis predicted by general relativity. Measurements will be made of the spin-axis orientations of 4 superconducting spherical gyroscopes carried by an earth-satellite. Two relativistic precessions are predicted: a 'geodetic' precession associated with the satellite's orbital motion and a 'motional' precession due to the earth's rotation. Using a Kalman filter covariance analysis with a realistic error model we have computed the error in determining the relativistic precession rates. Studies show that a slightly off-polar orbit is better than a polar orbit for determining the 'motional' drift.
Measurement-based analysis of error latency
This paper demonstrates a practical methodology for the study of error latency under a real workload. The method is illustrated with sampled data on the physical memory activity, gathered by hardware instrumentation on a VAX 11/780 during the normal workload cycle of the installation. These data are used to simulate fault occurrence and to reconstruct the error discovery process in the system. The technique provides a means to study the system under different workloads and for multiple days. An approach to determine the percentage of undiscovered errors is also developed and a verification of the entire methodology is performed. This study finds that the mean error latency, in the memory containing the operating system, varies by a factor of 10 to 1 (in hours) between the low and high workloads. It is found that of all errors occurring within a day, 70 percent are detected in the same day, 82 percent within the following day, and 91 percent within the third day. The increase in failure rate due to latency is not so much a function of remaining errors but is dependent on whether or not there is a latent error.
Analysis of error in TOMS total ozone as a function of orbit and attitude parameters
Computer simulations of orbital scenarios were performed to examine the effects of orbital altitude, equator crossing time, attitude uncertainty, and orbital eccentricity on ozone observations by future satellites. These effects were assessed by determining changes in solar and viewing geometry and earth daytime coverage loss. The importance of these changes on ozone retrieval was determined by simulating uncertainties in the TOMS ozone retrieval algorithm. The major findings are as follows: (1) Drift of equator crossing time from local noon would have the largest effect on the quality of ozone derived from TOMS. The most significant effect of this drift is the loss of earth daytime coverage in the winter hemisphere. The loss in coverage increases from 1 degree latitude for + or - 1 hour from noon, 6 degrees for + or - 3 hours from noon, to 53 degrees for + or - 6 hours from noon. An additional effect is the increase in ozone retrieval errors due to high solar zenith angles. (2) To maintain contiguous earth coverage, the maximum scan angle of the sensor must be increased with decreasing orbital altitude. The maximum scan angle required for full coverage at the equator varies from 60 degrees at 600 km altitude to 45 degrees at 1200 km. This produces an increase in spacecraft zenith angle, theta, which decreases the ozone retrieval accuracy. The range in theta was approximately 72 degrees for 600 km to approximately 57 degrees at 1200 km. (3) The effect of elliptical orbits is to create gaps in coverage along the subsatellite track. An elliptical orbit with a 200 km perigee and 1200 km apogee produced a maximum earth coverage gap of about 45 km at the perigee at nadir. (4) An attitude uncertainty of 0.1 degree in each axis (pitch, roll, yaw) produced a maximum scan angle to view the pole, and maximum solar zenith angle).
An analysis of errors in special sensor microwave imager evaporation estimates over the global oceans
The method proposed by Liu (1984) is used to estimate monthly averaged evaporation over the global oceans from 1 yr of special sensor microwave imager (SDSM/I) data. Intercomparisons involving SSM/I and in situ data are made over a wide range of oceanic conditions during August 1987 and February 1988 to determine the source of errors in the evaporation estimates. The most significant spatially coherent evaporation errors are found to come from estimates of near-surface specific humidity, q. Systematic discrepancies of over 2 g/kg are found in the tropics, as well as in the middle and high latitudes. The q errors are partitioned into contributions from the parameterization of q in terms of the columnar water vapor, i.e., the Liu q/W relationship, and from the retrieval algorithm for W. The effects of W retrieval errors are found to be smaller over most of the global oceans and due primarily to the implicitly assumed vertical structures of temperature and specific humidity on which the physically based SSM/I retrievals of W are based.
Analysis of errors introduced by several methods of weighting nonuniform duct flows
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Global Precipitation Estimate Error Decomposition Analysis for 14 Passive Microwave Sensors
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Error Budgeting Analysis for X-ray Systems Using a 0D Uncertainty Model
Abstract not provided
Adjoint-based Sensitivity Analysis and Error Estimation for Scale-resolving Turbulent Flow Simulations.
Abstract not provided.