The Theory of Diffraction from a Holographic Lens.
Abstract
The objective of this effort was to apply diffraction theory to calculate the diffraction efficiency of a holographic lens in terms of the original geometry, exposure conditions, material parameter, processing effects, and reconstruction geometry. The analysis was based upon a pair of coupled wave equations with variable coefficients of sufficient generality to permit the determination of the diffraction efficiency in cases where previous theories have been limited. These cases include: spherical object, reference, and reconstruction waves; polarized reconstruction waves; reconstruction wave vectors out of the plane of incidence of the construction wave vectors; thickness changes of the hologram recording material due to processing; gross changes in optical index to processing; variations with position inside the hologram of the hologram parameters such as optical index, index modulation; saturation of the index and a absorptance modulation with exposure; and absorption during exposure of the construction waves. The JWKB approximation is used to solve the coupled wave equations with variable coefficients which describe the diffraction process. The boundary conditions for both a transmission and reflection hologram were applied to obtain particular solutions. A closed form solution was obtained for the case of a transmission hologram by the trapezoidal approximation. Good agreement was obtained between the experimentally measured diffraction efficiency and the theoretically calculated diffraction efficiency.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1977
- Accession Number
- ADA041537
Entities
People
- Daniel D. Young
Organizations
- Air Force Institute of Technology