Related Experiment Video
Updated: Feb 11, 2026

10:39
Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
10.1K
Measurement of grating groove density using multiple diffraction orders and one standard wavelength
Applied Optics
|May 2, 2018
Summary
This study introduces a novel method for measuring diffraction grating groove density, utilizing multiple diffraction orders to eliminate rotation errors. The technique achieves high precision, with a relative error of 3.8×10-5 for a 651 lines/mm grating.
Area of Science:
- Optics and Photonics
- Metrology
- Diffraction Grating Technology
Background:
- Accurate measurement of grating groove density is crucial for optical system performance.
- Traditional methods can be susceptible to errors from grating rotation, such as eccentricity.
- A need exists for precise and robust groove density measurement techniques.
Purpose of the Study:
- To develop a new method for measuring diffraction grating groove density.
- To eliminate eccentricity errors inherent in rotating diffraction gratings.
- To achieve high-accuracy groove density measurements using a single standard wavelength.
Main Methods:
- A Littman configuration for autocollimation was adapted.
- The method uses multiple diffraction orders and a single standard wavelength.
- Internal angles between diffracted beams were measured at a specific incident angle to calculate groove density.
Main Results:
- The proposed method successfully measured the groove density of a plane grating.
- A nominal 651 lines/mm grating was measured with a mean value of 650.76 lines/mm.
- A high relative measurement error of 3.8×10-5 was achieved.
Conclusions:
- The new method effectively eliminates eccentricity errors in groove density measurements.
- This technique offers a precise and reliable approach for characterizing diffraction gratings.
- The method's high accuracy makes it suitable for demanding optical applications.
Related Concept Videos
The de Broglie Wavelength
33.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
33.8K
Interference and Diffraction
52.5K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
52.5K
Measurement: Standard Units
81.7K
Every measurement provides three kinds of information: the size or magnitude of the measurement (a number), a standard of comparison for the measurement (a unit), and an indication of the uncertainty of the measurement. While the number and unit are explicitly represented when a quantity is written, the uncertainty is an aspect of the errors in the measurement results.
81.7K
Units and Standards of Measurement
45.4K
A physical quantity is defined either by specifying its measurement method or by stating how it is calculated from other measurements. For example, consider a metallic cube. We might define its mass and dimensions by specifying methods for measuring them, such as using a weighing machine and a meter scale. Then, we could define the volume by stating that it is the cube of its side, and we could calculate the density as the mass divided by the volume.
Measurements of physical quantities are...
Measurements of physical quantities are...
45.4K
X-ray Diffraction of Biological Samples
4.9K
X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are scattered by the electron clouds around the sample atoms. The X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are scattered by the electron clouds around the sample atoms. The X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
4.9K
Standard Electrode Potentials
50.4K
On comparing the reactivity of silver and lead, it is observed that the two ionic species, Ag+ (aq) and Pb2+ (aq), show a difference in their redox reactivity towards copper: the silver ion undergoes spontaneous reduction, while the lead ion does not. This relative redox activity can be easily quantified in electrochemical cells by a property called cell potential. This property is commonly known as cell voltage in electrochemistry, and it is a measure of the energy which accompanies the charge...
50.4K

