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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Binary gratings with random heights.

José María Rico-García¹, Luis Miguel Sanchez-Brea

¹Universidad Complutense de Madrid, Optics Department, Applied Optics Complutense Group, Facultad de Ciencias Físicas, Ciudad Universitaria s.n., 28040 Madrid, Spain. jmrico@fis.ucm.es

|June 3, 2009

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Randomness in binary phase grating height reduces diffraction order intensity. Even with imperfections, these gratings approximate ideal diffraction grating behavior, with high randomness creating an amplitude grating and a halo effect.

Area of Science:

Optics and Photonics
Diffraction Theory
Statistical Optics

Background:

Binary phase gratings are crucial optical components.
Imperfections in grating fabrication can significantly alter optical performance.
Understanding the impact of randomness is key for designing robust optical systems.

Purpose of the Study:

To analyze the far-field intensity distribution of binary phase gratings with random strip heights.
To investigate the statistical behavior of light diffracted by imperfect gratings.
To determine the effects of varying degrees of randomness on diffraction orders.

Main Methods:

Statistical analysis using the mutual coherence function.
Propagation of the mutual coherence function to the far field.

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Last Updated: Jun 22, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Fabrication of High Contrast Gratings for the Spectrum Splitting Dispersive Element in a Concentrated Photovoltaic System

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Analysis of limit cases: low- and high-randomness perturbed gratings.

Main Results:

The intensity of diffraction orders generally decreases compared to ideal gratings.
In the high-randomness limit, the grating behaves like an amplitude grating plus a diffuse halo.
The overall behavior approximates that of a diffraction grating despite non-periodicity.

Conclusions:

Fabrication randomness in binary phase gratings leads to reduced diffraction efficiency.
The statistical analysis provides a framework for understanding imperfect grating performance.
Even with significant randomness, gratings maintain approximate diffraction grating characteristics.