Related Experiment Video
Updated: Feb 11, 2026

08:43
Calibration Procedures for Orthogonal Superposition Rheology
Published on: November 18, 2020
2.4K
Full-circle range and microradian resolution angle measurement using the orthogonal mirror self-mixing interferometry
Optics Express
|May 3, 2018
Summary
This study introduces an improved angle measurement system using orthogonal mirror self-mixing interferometry. The novel design achieves microradian resolution across a full 360-degree range, enhancing precision for angle sensing applications.
Area of Science:
- Optics and Photonics
- Metrology and Measurement Science
- Mechanical Engineering
Background:
- Traditional angle sensing methods using reflecting mirrors face limitations in measurement range and resolution.
- Existing techniques struggle to provide high accuracy over a full circle (0 to 2π radians).
Purpose of the Study:
- To develop a novel angle measurement system overcoming the limitations of traditional methods.
- To achieve microradian resolution and a full-circle measurement range for angle sensing.
Main Methods:
- Implementation of orthogonal mirror self-mixing interferometry.
- Integration of a specifically designed mechanical linkage with the orthogonal mirror setup.
Main Results:
- The developed system enables angle measurement with microradian resolution.
- Achieved a full-circle measurement range from 0 to 2π radians.
- Experimental results show a measurement resolution of 5.27 µrad and an absolute error as low as ± 0.011 µrad.
Conclusions:
- The orthogonal mirror self-mixing interferometry system effectively overcomes traditional angle measurement shortcomings.
- The system satisfies high-accuracy angle measurement requirements for various applications.
- This technique offers a robust solution for precise, full-circle angle sensing.
Related Concept Videos
Angle of Twist - Elastic Range
827
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...
827
Orthogonal Trajectories
71
Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
71
Circles
250
A circle in the coordinate plane is defined as the set of all points that lie at a constant distance, known as the radius, from a fixed point called the center. This relationship is captured using the distance formula. For a point (x, y) on the circle and a center (h, k), the distance between them equals the radius r. By squaring both sides of the distance formula, the equation of the circle is written in standard form:Constructing the Equation from Geometric InformationIf the center and the...
250
Range
14.3K
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...
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...
14.3K
Contact Angle
23.7K
When a solid is dipped inside a liquid, the liquid surface becomes curved near the contact. For some solid–liquid interfaces, the liquid is pulled up along the solid, while for others, the liquid surface is convex or depressed near the solid surface. This phenomenon can be explained using the concept of cohesive and adhesive forces.
The adhesive force is the molecular force between molecules of different materials, that is, between the molecules of the solid and the liquid. The cohesive...
The adhesive force is the molecular force between molecules of different materials, that is, between the molecules of the solid and the liquid. The cohesive...
23.7K
Mohr's Circle for Moments of Inertia: Problem Solving
3.2K
Mohr's circle is a graphical method for determining an area's principal moments by plotting the moments and product of inertia on a rectangular coordinate system. This circle can also be used to calculate the orientation of the principal axes.
Consider a rectangular beam. The moments of inertia of the beam about the x and y axis are 2.5(107) mm4 and 7.5(107) mm4, respectively. The product of inertia is 1.5(107) mm4. Determine the principal moments of inertia and the orientation of the major and...
Consider a rectangular beam. The moments of inertia of the beam about the x and y axis are 2.5(107) mm4 and 7.5(107) mm4, respectively. The product of inertia is 1.5(107) mm4. Determine the principal moments of inertia and the orientation of the major and...
3.2K

