To realize a high-precision refractive-index measurement by the rainbow method by use of multifringes, the characteristics of several orders of supernumerary bow fringes are made clear by a simulation based on the Huygens–Fresnel principle. The fringe intervals computed are precisely coincident with those obtained in experiments. As a result a suitable combination of the diameter of the cylinder containing the sample and the beam size of the laser has been determined. By use of the characteristic curve of the deviation angle versus the refractive index for each fringe and by the statistical treatment, measurement with high precision was demonstrated.
© 1999 Optical Society of America
Original Manuscript: August 17, 1998
Revised Manuscript: January 19, 1999
Published: July 1, 1999
Hiroyuki Hattori, "Simulation study on refractometry by the rainbow method," Appl. Opt. 38, 4037-4046 (1999)