We present an Abel-inversion algorithm to reconstruct mean and rms refractive-index profiles from spatially resolved statistical measurements of the beam-deflection angle in time-dependent, axisymmetric flows. An oscillating gas-jet diffusion flame was investigated as a test case for applying the algorithm. Experimental data were obtained across the whole field by a rainbow schlieren apparatus. Results show that simultaneous multipoint measurements are necessary to reconstruct the rms refractive index accurately.
© 1999 Optical Society of America
Original Manuscript: October 26, 1998
Revised Manuscript: February 4, 1999
Published: May 20, 1999
Ajay K. Agrawal, Burt W. Albers, and DeVon W. Griffin, "Abel inversion of deflectometric measurements in dynamic flows," Appl. Opt. 38, 3394-3398 (1999)