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A practical algorithm for the design of focusators into a line using curvilinear coordinates
L.L. Doskolovich, S.I. Kharitonov
Image Processing Systems Institute of RAS

 PDF, 944 kB

Pages: 37-39.

Full text of article: Russian language.

Abstract:
A wide range of technological problems require to focus laser radiation into a target line. There have been created focusators – diffractive phase optical elements for focusing radiation into a line[1-4]. Focusators are designed in the ray optics approximation. Due to the complexity of solving the inverse focusing problem, the phase functions of focusators are obtained only for the cases of focusing into simple lines, such as a segment, a ring, or a semiring. When focusing into more complex curves is required, the design of the focusator phase becomes an extraordinary task, which includes solving complex nonlinear equations.
This paper considers a method for the design of focusators in a curvilinear coordinate system consistent with the shape of the focal curve. The proposed curvilinear coordinates simplify the design considerably and allow to propose a simple numerical algorithm for the design of focusators into an arbitrary focal line .

Citation:
Doskolovich LL, Kharitonov SI.A practical algorithm for the design of focusators into a line using curvilinear coordinates. Computer Optics 1998; 18: 37-39.

References:
  1. Golub MA, Karpeev SV, Prokhorov AM, Sisakyan IN, Soifer VA. Focusing coherent radiation in a given region of space with the help of computer-generated holograms [In Russian]. Tech Phys Lett 1981; 7(10): 618-623.
  2. Danilov VA, Popov VV, Prokhorov AM, Sagatelyan DM, Sisakyan IN, Soifer VA. Synthesis of optical elements producing focal curves of arbitrary shape [In Russian]. Tech Phys Lett 1982; 8(13): 810-812.
  3. Goncharsky AV, Popov VV, Stepanov VV. Introduction to computer optics [In Russian]. Moscow: MSU Publisher; 1991.
  4. Soifer V, Kotlyar V, Doskolovich L. Iterative methods for diffractive optical elements computation. London: Taylor & Francis; 1997 .

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