A GENERALIZED VECTOR THEORY OF THE MACH-ZEHNDER INTERFEROMETER,
Abstract
The vector theory of the ideal, planar, Mach-Zehnder interferometer is extended to include three-dimensional models based on geometry of the ellipsoid. Necessary and sufficient conditions for production of white light fringes are determined, and the path difference formula governing interference is developed as in the planar case. Expressions for fringe width and orientation are found and the effects of various source points determined. The problem of optimum source is found reducible to that already treated for the planar interferometer. The effect of a thick plane-parallel plate on a parallel beam is studied. An actual thick plate interferometer is represented as an ideal, ellipsoidal interferometer with the effects of thick plates linearly superposed. Conditions are investigated for obtaining perfect plate compensation; these reduce the ellipsoidal interferometer to planar form. Tests for alignment of a thick plate instrument are suggested. Finally terms accounting for thick windows and compensating chambers are considered and requirements developed for compensation in the B.R.L. pressure-temperature controlled range. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1952
- Accession Number
- AD0641348
Entities
People
- F. D. Bennett
- G. D. Kahl
Organizations
- Ballistic Research Laboratory