Analytic design of optical elements generating a line focus

Leonid L. Doskolovich; Anton Y. Dmitriev; Sergey I. Kharitonov

doi:10.1117/1.OE.52.9.091707

8 March 2013 Analytic design of optical elements generating a line focus

Leonid L. Doskolovich, Anton Y. Dmitriev, Sergey I. Kharitonov

Author Affiliations +

Optical Engineering, Vol. 52, Issue 9, 091707 (March 2013). https://doi.org/10.1117/1.OE.52.9.091707

Abstract

We derive a general nonparaxial analytical representation of the eikonal function for the design of diffractive optical elements (DOE) producing a line focus. The eikonal is given in special curvilinear coordinates. The eikonal’s calculation, from the condition of focusing into a line with prescribed intensity distribution, is reduced to the solution of a first-order explicit differential equation. We design DOEs and nondiffractive refractive optical elements to generate a line-segment focus and a circular-arc focus. The simulation data demonstrates that the designed optical elements produce high-quality lines.

Citation Download Citation

Leonid L. Doskolovich, Anton Y. Dmitriev, and Sergey I. Kharitonov "Analytic design of optical elements generating a line focus," Optical Engineering 52(9), 091707 (8 March 2013). https://doi.org/10.1117/1.OE.52.9.091707

Published: 8 March 2013

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