Based on the semiclassical theory of photoelectric detection of radiation and information theory, we have studied the fundamental limits on the accuracy of simultaneous measurements of optical field parameters. Within a one-dimensional four-parameter and a two-dimensional seven-parameter gaussian model with a background and for Poisson photocounting statistics, we consider the limiting and conditional minimum variance matrix bounds on estimates of the radiation parameters. We use numerical methods to study the effect of background illumination, noise counts, dimensions and position of the measurement region relative to the center of the field when detecting radiation using photosensitive arrays with different numbers of elements.
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Translated from Izmeritel’naya Tekhnika, No. 9, pp. 26–31, September, 2010.
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Smirnov, V.I. Fundamental limitations on the accuracy of simultaneous measurements of optical field parameters. Meas Tech 53, 1002–1010 (2010). https://doi.org/10.1007/s11018-010-9611-x
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DOI: https://doi.org/10.1007/s11018-010-9611-x