An analysis of an Optical Vortices Interferometer with focused beam

In recent years a lot of effort was put into testing and improving the idea of a three beam interferometer known as Optical Vortices Interferometer (OVI). Devices based on the idea of an OVI allow measuring small rotation angles and small shifts with a superb resolution1,2. Unfortunately there are still many problems that have to be solved before an OVIbased device can go into production. In this paper there are presented theoretical calculations and experimental results of using another type of OVI - OVI with focused beam, for measuring small displacements and small rotation angles of reflecting areas.

[1]  D. Grier.  A revolution in optical manipulation , 2003, Nature.

[2]  Stephen M. Barnett,et al.  Optical Angular Momentum , 2003 .

[3]  Jan Masajada,et al.  Optical vortex generation by three plane wave interference , 2001 .

[4]  J. Masajada.  Small-angle rotations measurement using optical vortex interferometer , 2004 .

[5]  P. Senthilkumaran.  Optical phase singularities in detection of laser beam collimation. , 2003, Applied optics.

[6]  E. Kolenović,et al.  Correlation between intensity and phase in monochromatic light. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[7]  J. Masajada,et al.  Superresolution phase image microscope. , 1999 .

[8]  Ewa Frączek,et al.  High precision parallel glass plate test with the use of the optical vortex interferometer , 2006, SPIE Photonics Europe.

[9]  S. Chu,et al.  Observation of a single-beam gradient force optical trap for dielectric particles. , 1986, Optics letters.

[10]  W. Firth,et al.  Characterization, dynamics and stabilization of diffractive domain walls and dark ring cavity solitons in parametric oscillators. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  V. Tychinsky.  On superresolution of phase objects , 1989 .

[12]  J. Masajada,et al.  Vortex points localization problem in optical vortices interferometry , 2004 .

[13]  L. Torner,et al.  Chapter 5 - Optical vortices and vortex solitons , 2005 .

[14]  Mitsuo Takeda,et al.  Experimental investigation of local properties and statistics of optical vortices in random wave fields. , 2005, Physical review letters.

[15]  Y. Zhong,et al.  Crystallography of two-dimensional photonic lattices formed by holography of three noncoplanar beams , 2005 .

[16]  Yuri S. Kivshar,et al.  Optical vortices and vortex solitons , 2004, SPIE Optics + Photonics.

[17]  Wei Wang,et al.  Phase singularities in analytic signal of white-light speckle pattern with application to micro-displacement measurement , 2005 .

[18]  Wei Wang,et al.  Optical vortex metrology for nanometric speckle displacement measurement. , 2006, Optics express.

[19]  V Aksenov,et al.  Potential and vortex features of optical speckle fields and visualization of wave-front singularities. , 1998, Applied optics.