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Related Concept Videos

Range00:59

Range

14.4K
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the study of seven 16-ounce soda cans, the filled volume of soda was measured, thus producing the following amount (in ounces) of soda:
15.9; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5
Measurements of the amount of soda in a 16-ounce can vary since different subjects record these measurements or since the exact amount - 16 ounces of liquid, was not...
14.4K
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.7K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.7K
Variation: Normal Distribution, Range, and Standard Deviation02:32

Variation: Normal Distribution, Range, and Standard Deviation

28.7K
In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
28.7K
Angle of Twist - Elastic Range01:13

Angle of Twist - Elastic Range

843
Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
843
Range Rule of Thumb to Interpret Standard Deviation01:13

Range Rule of Thumb to Interpret Standard Deviation

13.7K
The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on the concept that 95% of all values in a dataset lie within two standard deviations from the mean.
For instance, the range rule of thumb can be used to find the tallest and the shortest student in a class, given the mean student height and standard deviation. If the mean student height is 1.6 m and the standard deviation, s is 0.05 m, the height...
13.7K
Circular Shaft - Stresses in Linear Range01:13

Circular Shaft - Stresses in Linear Range

749
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
749

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Related Experiment Video

Updated: Feb 14, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

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Soliton microcomb range measurement.

Myoung-Gyun Suh1, Kerry J Vahala2

  • 1T. J. Watson Laboratory of Applied Physics, California Institute of Technology, Pasadena, CA 91125, USA.

Science (New York, N.Y.)
|February 24, 2018
PubMed
Summary
This summary is machine-generated.

Chip-based soliton microcombs enable precise laser ranging. This technology achieves 200-nanometer precision for distance measurements, paving the way for miniature laser ranging systems.

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Area of Science:

  • Optics and Photonics
  • Metrology

Background:

  • Laser-based range measurement is crucial for applications like autonomous vehicles and satellite formation flying.
  • Coherent laser ranging with dual-frequency combs offers long range, high precision, and fast updates.

Purpose of the Study:

  • To demonstrate dual-comb distance measurement using chip-based soliton microcombs.
  • To develop a compact and integrated dual-comb laser ranging system.

Main Methods:

  • Generation of dual-frequency combs as counterpropagating solitons within a single microresonator using a single pump laser.
  • Time-of-flight measurement for distance determination.

Main Results:

  • Achieved 200-nanometer precision at a 500-millisecond averaging time with a 16-millimeter range ambiguity.
  • Demonstrated measurements up to 25 meters with lower precision.

Conclusions:

  • Chip-based soliton microcombs are a viable source for dual-comb laser ranging.
  • This work represents a significant step towards miniaturized, integrated laser ranging systems.