Effects of refraction on axisymmetric flame temperatures measured by holographic interferometry

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Abstract
Neglect of refraction can produce errors when temperature distributions in axisymmetric flames are reconstructed by Abel inversion of interferometric fringe data. This study quantifies these errors and their reduction by imaging during interferogram readout. Rays were traced through analytic temperature distributions characteristic of real flames at different equivalence ratios to determine the fringe patterns that would be observed interferometrically with and without imaging. The Abel inversion was applied to each computed fringe pattern to reconstruct the temperature distribution. Reconstructed and analytic distributions were compared to determine the error caused by using the Abel inversion. Our results indicate that proper imaging will generally be necessary to reduce reconstruction errors to below 5% in real axisymmetric flames.

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