Analytical procedure for determining lengths from fractional fringes
Abstract
It is noted that the development of frequency-stabilized IR lasers with a large number of well-characterized wavelengths should broaden the use of fractional fringes in a variety of length-measuring tasks. This paper presents a set of analytical equations that permits a length to be calculated as a series of successive approximations in terms of the wavelengths and measured fractional fringes. Criteria for selecting the wavelengths are also provided along with expressions for the uncertainty of the calculated value at each stage of the computation and expressions for the length range over which the calculation will be valid. An example involving a stabilized CO2 laser is briefly discussed.
- Publication:
-
Applied Optics
- Pub Date:
- July 1977
- DOI:
- 10.1364/AO.16.001857
- Bibcode:
- 1977ApOpt..16.1857T
- Keywords:
-
- Diffraction Patterns;
- Infrared Lasers;
- Laser Applications;
- Length;
- Mechanical Measurement;
- Metrology;
- Iterative Solution;
- Wavelengths;
- Instrumentation and Photography;
- INTERFEROMETRY;
- METROLOGY