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Related Concept Videos

Range00:59

Range

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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:
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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...
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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...
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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.
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Micro Fabry-Pérot Interferometer at Rayleigh Range.

Yusuke Tsujiie1, Yoshiyuki Kawamura2

  • 1Department of Intelligent Mechanical Engineering, Faculty of Engineering, Fukuoka Institute of Technology, 3-30-1 Wajirohigashi, Higashiku, Fukuoka, 811-0295, Japan.

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|October 14, 2018
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Researchers developed a micro-scale Fabry-Pérot interferometer, simplifying precision requirements for optical measurements. This compact device offers potential advancements in micro sensing systems.

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Area of Science:

  • Optics
  • Interferometry
  • Micro-optics

Background:

  • Fabry-Pérot interferometers are crucial for high-precision optical applications like gravitational wave detection and laser resonators.
  • Ultra-compact versions are utilized in semiconductor lasers and fiber-optic systems.

Purpose of the Study:

  • To develop a micro-scale Fabry-Pérot interferometer with relaxed precision requirements.
  • To explore its application in micro sensing systems.

Main Methods:

  • Constructed a micro-scale Fabry-Pérot interferometer within the Rayleigh range of an optical focusing system.
  • Utilized a gold-coated silicon microcantilever (92% reflectivity) and a dielectric multilayer flat mirror (85% reflectivity).
  • Focused a laser beam to a 20 μm spot size with an approximate cavity length of 20 μm.

Main Results:

  • Achieved a finesse of approximately 25.
  • Demonstrated that high precision for optical parallelism and surface accuracy was less critical.
  • Observed interferometric characteristics consistent with theoretical calculations.

Conclusions:

  • The developed micro Fabry-Pérot interferometer simplifies fabrication while maintaining performance.
  • This device holds significant potential for advancing optical measurements in micro sensing systems.