Refractive Index Effects For Shocked Windows In Interface Velocimetry

Jerry Wackerle; H. L. Stacy; J. C. Dallman

doi:10.1117/12.942211

4 February 1988 Refractive Index Effects For Shocked Windows In Interface Velocimetry

Jerry Wackerle, H. L. Stacy, J. C. Dallman

Proceedings Volume 0832, High Speed Photography, Videography, and Photonics V; (1988) https://doi.org/10.1117/12.942211
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

Abstract

An analysis is presented that specifies the corrections necessary when velocity interferometic measurements are made of surfaces viewed through shocked window materials. The analysis is performed in a Lagrangian (material) coordinate system, is limited to one-dimensional planar, cylindrical and spherical flow conditions, assumes the index of refraction, n, depends on the density, p, alone and is taken in the classical limit. In all cases of cylindrical and spherical geometry and for unfavorable n(p) dependencies in planar geometry, the relationship between the apparent and true interface velocities includes a term that must be integrated through the flow from the interface to the shock front. Determination of the true velocity history of an arbitrary wave thereby requires an iterative procedure of working the entire hydrodynamic problem. It is shown that the integral terms are eliminated by planar geometry and a refractive index dependence με = μ0 -k(1-ε) where μ = n-1, ε = po/p, the sub-o denotes the unshocked state, and k, is a constant. Results from Fabry-Perot velocity interferometer measurements are presented to demonstrate various predictions of the analysis and to indicate that several alkali halides exhibit the special refractive index property cited above.

Citation Download Citation

Jerry Wackerle, H. L. Stacy, and J. C. Dallman "Refractive Index Effects For Shocked Windows In Interface Velocimetry", Proc. SPIE 0832, High Speed Photography, Videography, and Photonics V, (4 February 1988); https://doi.org/10.1117/12.942211

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