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Updated: Feb 4, 2026
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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
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Phase structuring of the complex degree of coherence
Optics Letters
|October 2, 2018
Summary
Researchers derived conditions for designing novel optical beam-like fields from one-dimensional Schell-like sources. New sources were created using various phase functions, and a geometric representation called the coherence curve was introduced.
Area of Science:
- Optics and Photonics
- Mathematical Physics
Background:
- Coherence properties of light sources are crucial for optical beam shaping.
- Schell-like sources are a significant class of partially coherent sources.
Purpose of the Study:
- To derive simple conditions for designing novel optical beam-like fields.
- To introduce new one-dimensional (1D) Schell-like sources.
- To develop a geometric representation for the coherence state of these sources.
Main Methods:
- Derivation of conditions based on the magnitude and phase of the complex degree of coherence.
- Application of signum, odd monomials, and sine phase functions.
- Introduction of a geometrical representation termed coherence curve.
Main Results:
- Established simple conditions for designing optical beam-like fields from 1D Schell-like sources.
- Generated several examples of novel optical sources.
- Introduced the coherence curve for visualizing the complex coherence state.
Conclusions:
- The derived conditions facilitate the design of new optical beam-like fields.
- The coherence curve provides a useful tool for characterizing 1D Schell-like sources.
- This work expands the toolkit for generating and understanding partially coherent optical fields.
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