Summary
We introduce in this paper the mathematical principles of a new interferometric system. The analyses are couched within the framework of electromagnetic theory, neglecting relativistic effects. The basic physical set-up of the system is similar to that of the velocity interferometer but with the introduction of additional optical components, and has the advantage of eliminating the problem of the presence and/or the rotations of the principle axes of the dielectric tensor of the shocked portion of the window material. An added advantage of the system is that it is now possible to calculate the desired physical quantities from the experimental data of the fringe counts without having to calibrate window materials.
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References
G. W. Gillard: U.S. Patent No. 3 503 012.
L. M. Barker:Fine structure of compressive and release wave shapes in aluminum measured by the velocity interferometer technique, inBehavior of Dense Media Under Dynamic Pressure (Gordon and Breach, New York, N.Y., 1968).
L. M. Barker andR. G. Hollenbach:J. Appl. Phys.,41, 4208 (1970).
L. D. Landau andE. M. Lifshitz:Electrodynamics of Continuous Media (Pergamon, Oxford, 1960).
L. M. Barker andK. W. Schuler:J. Appl. Phys.,45, 3692 (1974).
J. L. Wise andL. C. Chhabildas:Laser interferometer measurements of refractive index in shock-compressed materials, inShock Waves in Condensed Matter (Plenum, New York, N.Y., 1986).
J. A. Stratton:Electromagnetic Theory (McGraw-Hill, New York, N.Y., 1941).
E. H. Dill:A theory of photothermoviscoelasticity, inProceedings of IV International Congress on Rheology, Brown University, August 26–30, 1963 (Interscience, New York, N.Y., 1965).
P. J. Chen:Wave Motion,19, 327 (1989).
P. J. Chen:Nuovo Cimento B,103, 457 (1989).
L. W. Davison andR. A. Graham:Phys. Rep.,55, 255 (1979).
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Chen, P.J. Mathematical principles of a new interferometric system. Nuov Cim B 106, 983–1001 (1991). https://doi.org/10.1007/BF02728342
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DOI: https://doi.org/10.1007/BF02728342