Carrier fringes and a non-conventional rotational shear in a triangular cyclic-path interferometer

This work presents a method for generating carrier fringes and a nonconventional rotational shear in a triangular cyclic-path interferometer, while simultaneously suppressing the presence of typical lateral and radial shearing. To carry out this method, a 4f optical system is implemented into the cyclic interferometer. The most important contributions of this paper are its demonstration of the linear dependence of the movable mirror displacement with the carrier frequency introduced, and the realization of a nonconventional rotational shearing interferometer. Additionally, we think that one of its possible potential applications is the observation of the angular derivative of parallel projections of a phase object placed at the output plane, generating a great advantage in edge-enhancement optical tomography. In this paper, we develop a theoretical model and show experimental results.

[1]  Qiong‐Hua Wang,et al.  Accurate retrieval algorithm of amplitude from radial-shearing interferogram. , 2010, Optics letters.

[2]  Lateral shearing interferometry of high-harmonic wavefronts. , 2011, Optics letters.

[3]  K. U. Hii,et al.  Wavefront reversal technique for self-referencing collimation testing. , 2010, Applied optics.

[4]  Dong Liu,et al.  Real time diagnosis of transient pulse laser with high repetition by radial shearing interferometer. , 2007, Applied optics.

[5]  Y. P. Kumar,et al.  Measurement of the surface profile of a curved optical surface with rotation phase-shifting lateral shear cyclic path optical configuration. , 2011, Applied optics.

[6]  G. Pedrini,et al.  Recording of incoherent-object hologram as complex spatial coherence function using Sagnac radial shearing interferometer and a Pockels cell. , 2013, Optics express.

[7]  C. Delisle,et al.  Shearing interferometer for phase shifting interferometry with polarization phase shifter. , 1985, Applied optics.

[8]  P. Hariharan,et al.  Cyclic shearing interferometer , 1960 .

[9]  D Malacara,et al.  Mathematical interpretation of radial shearing interferometers. , 1974, Applied optics.

[10]  Y. P. Kumar,et al.  Opaque optics thickness measurement using a cyclic path optical configuration setup and polarization phase shifting interferometry. , 2012, Applied optics.

[11]  Changhui Rao,et al.  Modal wavefront reconstruction for radial shearing interferometer with lateral shear. , 2011, Optics letters.

[12]  Dong Liu,et al.  Off-axis cyclic radial shearing interferometer for measurement of centrally blocked transient wavefront. , 2013, Optics letters.

[13]  S. Chakraborty,et al.  Self-referenced rectangular path cyclic interferometer with polarization phase shifting. , 2012, Applied optics.

[14]  Takanori Nomura,et al.  Recording spatially incoherent Fourier hologram using dual channel rotational shearing interferometer. , 2015, Applied optics.

[15]  K. Freischlad.  Absolute interferometric testing based on reconstruction of rotational shear. , 2001, Applied optics.

[16]  M. V. R. K. Murty,et al.  A Compact Radial Shearing Interferometer Based on the Law of Refraction , 1964 .

[17]  Y. P. Kumar,et al.  Measurement of longitudinal displacement using lateral shearing cyclic path optical configuration setup and phase shifting interferometry. , 2011, Applied optics.

[18]  J. Goodman.  Introduction to Fourier optics , 1969 .

[19]  Cruz Meneses-Fabian,et al.  Optical tomography with parallel projection differences and Electronic Speckle Pattern Interferometry , 2003 .

[20]  E. Donath,et al.  Radial Shearing Interferometer , 1963 .

[21]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[22]  Changhui Rao,et al.  A single-shot common-path phase-stepping radial shearing interferometer for wavefront measurements. , 2011, Optics express.

[23]  Dahai Li,et al.  Improved formula of wavefront reconstruction from a radial shearing interferogram. , 2008, Optics letters.

[25]  Huaixin Chen,et al.  Simple algorithms of wavefront reconstruction for cyclic radial shearing interferometer , 2002 .