Related Experiment Video
Updated: Jun 16, 2026

07:22
Fabrication of a Low-Cost, Fiber-Coupled, and Air-Spaced Fabry-Pérot Etalon
Published on: February 3, 2023
Standard of flatness: its application to Fabry-Perot interferometers
Applied Optics
|February 16, 2010
Summary
Researchers developed novel liquid and solid standard flats. Polished CER-VIT surfaces maintained exceptional planarity, showing no deformation after a year, crucial for optical metrology.
Area of Science:
- Optical Engineering
- Materials Science
- Metrology
Background:
- Standard flats are essential for precise optical measurements.
- Previous materials may exhibit deformation or lack long-term stability.
- The need for highly stable and precise reference surfaces in optical testing.
Purpose of the Study:
- To report the initial development of liquid and solid standard flats.
- To evaluate the surface planarity and stability of polished CER-VIT.
- To assess the long-term performance of these standard flats under operational conditions.
Main Methods:
- Polishing a 100-mm diameter cylindrical block of CER-VIT.
- Measuring surface planarity using interferometric techniques.
- Monitoring the surface for deformation over a one-year period.
Main Results:
- The polished CER-VIT surface demonstrated exceptional planarity.
- Deviation from a perfect plane was less than lambda/270 over a 70-mm diameter.
- No measurable deformation was observed in the standard flat after one year of use.
Conclusions:
- CER-VIT is a suitable material for creating highly stable standard flats.
- The developed standard flats meet stringent planarity requirements for optical applications.
- Long-term stability ensures reliable performance in metrology and optical testing.
Related Concept Videos
Fluid Pressure over Flat Plate of Constant Width
When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
The resultant force...
The resultant force...
Fluid Pressure over Flat Plate of Variable Width
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Gauss's Law: Planar Symmetry
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Fluid Pressure over Curved Plate of Constant Width
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
Frictional Forces on Flat Belts
Flat belts are commonly used in various industrial applications for transmitting power from one pulley to another. When a flat belt is wrapped around a set of pulleys, it experiences different tensions at the driving pulley ends due to the friction between the belt and pulley surface. When the pulley moves in a counterclockwise direction, the tension T2 on the opposite side of the pulley where the belt is moving away from is higher than the tension T1 on the side where the belt is moving...
Influence of Earth's Curvature and Atmospheric Refraction on Leveling
During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...

