Abstract

A treatment similar to that used by Slavin is combined with a logarithmic-logistic equation for a spectrographic-emulsion response curve and used to develop conditions for minimizing the propagation of random error in transmittance data into exposure and analytical results. In cases without spectral background, the optimum transmittance levels for reduced propagation depend sharply on behavior in the photometric system, but not on the slope or contrast terms in the emulsion equations. Optimum levels with spectral background involve contrast specifically and present prohibitive difficulties for direct algebraic treatment. Such cases can be studied by numerical computation and plotting techniques, and results for selected background situations are compared. A small effect of graininess on results obtained from Ilford Q2 plates is discussed.

Analysis of error propagation: from raw light-field data to depth estimation

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Appl. Opt. 62(33) 8704-8715 (2023)

Fringe visibility errors resulting from dual object imaging for stellar interferometers

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Effect of Stray Light in Prism and Grating Spectrographs on Emulsion Calibration Curves and Its Significance in Spectrographic Analysis*

Richard N. Kniseley and Velmer A. Fassel
J. Opt. Soc. Am. 44(5) 390-393 (1954)

Emulsion Calibration Scale for Quantitative Spectroscopic Analysis

Harold K. Hughes and R. W. Murphy
J. Opt. Soc. Am. 39(6) 501-504 (1949)

Image reconstruction from coded data: I. Reconstruction algorithms and experimental results

Warren E. Smith, Richard G. Paxman, and Harrison H. Barrett
J. Opt. Soc. Am. A 2(4) 491-500 (1985)