Abstract

Distributions of irradiance <i>H</i> in the sharply focused diffraction images of self-radiant line elements are examined for objectives of Sonine type <i>S</i><sub>0</sub>, <i>S</i><sub>1</sub>, and S<sub>2</sub> with the view to finding a common characteristic that can be applied to the systematic measurement of length of line elements. With respect to the distribution <i>H</i>(<i>x</i>) along the length <i>x</i> of the diffraction image, the only outstanding, common characteristic is the point of steepest slope, at which <i>dH</i>(<i>x</i>)/<i>dx</i> assumes its greatest value. The relationships between the distance <i>x</i><sub><i>a</i></sub> from the center of the image to the point of steepest slope and the half-length <i>K</i> of the geometrical image are derived and tabulated for types <i>S</i><sub>0</sub>, <i>S</i><sub>1</sub>, and <i>S</i><sub>2</sub>. Distances <i>x</i><sub><i>a</i></sub> have a strong tendency to equal <i>K</i>. It is found that objectives of type <i>S</i><sub>0</sub> are more sensitive than the classical Airy type <i>S</i><sub>1</sub> for measuring the shortest measurable line elements.

PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription