Maximum Sensitivities of Optical Direction and Twist Measuring Instruments

Oscar Falconi

doi:10.1364/JOSA.54.001315

Journal of the Optical Society of America
Vol. 54,
Issue 11,
pp. 1315-1320
(1964)
•https://doi.org/10.1364/JOSA.54.001315

Maximum Sensitivities of Optical Direction and Twist Measuring Instruments

Oscar Falconi

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Oscar Falconi, "Maximum Sensitivities of Optical Direction and Twist Measuring Instruments," J. Opt. Soc. Am. 54, 1315-1320 (1964)

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Abstract

Expressions are derived for the maximum precision with which an optical instrument can determine the direction of a light source and the orientation of a source about an axis parallel to the line of sight.

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Equations (65)

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Description	(A/M)	(1/M)

Two narrow slits	$\frac{{(A_{1} + A_{2})}^{2}}{A_{1} A_{2} D^{2}}$	$\frac{A_{1} + A_{2}}{A_{1} A_{2} D^{2}}$

Rectangle	$\frac{12}{D^{2}}$	$\frac{12}{H D^{3}}$

Circle or ellipse	$\frac{16}{D^{2}}$	$\frac{64 / π}{H D^{3}}$

Circle with obscuration	$\frac{16}{{D_{2}}^{2} + {D_{1}}^{2}}$	$\frac{64 / π}{{D_{2}}^{4} - {D_{1}}^{4}}$

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Equations (65)

Journal of the Optical Society of America