What question did this study set out to answer?

To formulate an apodization method that increases the two-point resolution limit under coherent illumination using the Sparrow criterion.

March 1, 1962Journal of the Optical Society of America

Application of Apodization to Increase Two-Point Resolution by the Sparrow Criterion I Coherent Illumination

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To formulate an apodization method that increases the two-point resolution limit under coherent illumination using the Sparrow criterion.
Applied the calculus of variations to derive an optimal pupil function (exit pupil amplitude distribution) for maximizing resolution.
Formulated and solved an inhomogeneous Fredholm integral equation to determine pupil distributions for both slit and circular apertures under completely coherent and incoherent light.
Established that the Sparrow resolution criterion is inherently sensitive to the coherence properties of the illuminating source, differentiating it from the Rayleigh criterion.
Identified analytical pupil function solutions that theoretically elevate the coherent Sparrow resolution limit for both slit and circular aperture geometries.

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Implication

Theoretical analysis demonstrates an apodization scheme to enhance two-point resolution in coherent optical systems, suggesting improved resolving power for slit and circular apertures.

Cite This Study

Richard Barakat (1962) studied this question.

synapsesocial.com/papers/6a09218415fb758097d25901 https://doi.org/10.1364/josa.52.000276

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Implication

Theoretical analysis demonstrates an apodization scheme to enhance two-point resolution in coherent optical systems, suggesting improved resolving power for slit and circular apertures.

Application of Apodization to Increase Two-Point Resolution by the Sparrow Criterion I Coherent Illumination

Key Points

Discussion

Implication

Cite This Study

Application of Apodization to Increase Two-Point Resolution by the Sparrow Criterion I Coherent Illumination

Key Points

Discussion

Implication

Cite This Study

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