Related Experiment Video
Updated: Jun 19, 2026

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation
Published on: March 2, 2021
Exact analytical and approximate analyses of Bragg reflectors with nonrectangular index profiles
Abstract:
Exact reflectivity spectra for sawtooth gratings are obtained by an analytical transfer matrix and are compared with approximate spectra obtained from the first-order coupled-wave method and from transfer matrix calculations based on representations of the sawtooth by piecewise constant segments. We find that the discrepancy between the exact spectra and the spectra obtained from approximate calculations is most evident for long or short gratings and increases with the depth of the index modulation in the grating.
Related Concept Videos
Attenuated Total Reflectance (ATR) Infrared Spectroscopy: Overview
The ATR process begins by directing a beam...
X-ray Crystallography
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Law of Rational Indices
Determination of Crystal Structures
Reflective Property of Parabolas
Beams with Unsymmetric Loadings
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...

