Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Determination of Crystal Structures

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed 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...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Matched coordinates for the analysis of 1D gratings.

Journal of the Optical Society of America. A, Optics, image science, and vision·2021

Same author

Effective schema for the rigorous modeling of grating diffraction with focused beams.

Applied optics·2011

Same author

Perturbation approach applied to modal diffraction methods.

Journal of the Optical Society of America. A, Optics, image science, and vision·2011

Same author

Formulation of the normal vector RCWA for symmetric crossed gratings in symmetric mountings.

Journal of the Optical Society of America. A, Optics, image science, and vision·2010

Search research articles

Related Experiment Video

Updated: Jun 17, 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

Fast diffraction computation schema for multilayer crossed gratings containing layers with 1D periodicity.

Joerg Bischoff¹

¹OSIRES Optical Engineering, Schillerstrasse 19, D-98693 Ilmenau, Germany. jb@osires.biz

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|December 26, 2009

Summary

This study presents a new computational method to speed up the analysis of 2D multilayer gratings. By leveraging 1D periodicity within layers, it significantly reduces computation time for rigorous coupled wave analysis (RCWA).

More Related Videos

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

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

Published on: July 18, 2015

Writing Bragg Gratings in Multicore Fibers

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

Related Experiment Videos

Last Updated: Jun 17, 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

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

Published on: July 18, 2015

Writing Bragg Gratings in Multicore Fibers

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

Area of Science:

Optics and Photonics
Computational Electromagnetics
Nanophotonics

Background:

Modal methods like Rigorous Coupled Wave Analysis (RCWA) are computationally intensive for crossed gratings.
The primary bottleneck is solving eigenproblems for each layer in 2D multilayer gratings.
Even 1D periodic layers within a 2D structure often require full 2D analysis, slowing computation.

Purpose of the Study:

To develop a faster computational schema for analyzing 2D multilayer gratings.
To address the computational inefficiency of current modal methods for crossed gratings.
To accelerate the eigenproblem formulation and solution for 1D periodic layers within 2D structures.

Main Methods:

A novel computation schema is introduced that exploits the 1D periodicity of individual layers.
The method optimizes the eigenproblem solution for layers with unidirectional periodicity within a multilayer stack.
This approach integrates 1D layer analysis into the overall 2D multilayer grating solution.

Main Results:

Significant acceleration in the formulation and solution of eigenproblems for 1D periodic layers.
Considerable reduction in the total computation time for 2D multilayer gratings containing 1D layers.
Demonstrates a practical approach to overcome computational bottlenecks in grating analysis.

Conclusions:

The proposed schema offers a substantial speed-up for diffraction computations of 2D multilayer gratings.
This method enhances the efficiency of modal analysis techniques for complex grating structures.
It paves the way for more rapid design and analysis of photonic devices utilizing crossed gratings.