Phase-shifting with computer-generated holograms written on a spatial light modulator.

We propose a new computer-controlled phase-shifting method based on computer-generated holograms (CGHs) displayed on a spatial light modulator (SLM). In this method the accurate phase shifts required in phase-shifting digital holography or interferometry are induced by a suitable transformation of the encoding patterns of the CGH displayed on a SLM. Both the theoretical analysis and the experimental results demonstrate the feasibility of this approach. We also discuss possible applications of this method in the field of interferometric null testing of aspheres.

[1]  J. Bokor,et al.  Fourier-transform method of phase-shift determination. , 2001, Applied optics.

[2]  Nai-Keng Bao,et al.  Applications of a novel phase-shift method using a computer-controlled polarization mechanism , 1994 .

[3]  I. Yamaguchi,et al.  Three-dimensional microscopy with phase-shifting digital holography. , 1998, Optics letters.

[4]  J C Wyant,et al.  Phase shifter calibration in phase-shifting interferometry. , 1985, Applied optics.

[5]  Hui-Tian Wang,et al.  Phase-shifting error and its elimination in phase-shifting digital holography. , 2002, Optics letters.

[6]  N Yoshikawa,et al.  Quantized phase optimization of two-dimensional Fourier kinoforms by a genetic algorithm. , 1995, Optics letters.

[7]  Mark A. Neifeld,et al.  Wave front reconstruction by means of phase-shifting digital in-line holography , 2000 .

[8]  N Lindlein,et al.  Analysis of the disturbing diffraction orders of computer-generated holograms used for testing optical aspherics. , 2001, Applied optics.

[9]  Wolfgang Osten,et al.  Direct shape measurement by digital wavefront reconstruction and multi-wavelength contouring , 2000 .

[10]  Ichirou Yamaguchi,et al.  Surface contouring by phase-shifting digital holography , 2001 .

[11]  U. Schnars,et al.  Digital recording and numerical reconstruction of holograms: a new method for displaying light in flight. , 1995, Applied optics.

[12]  I. Yamaguchi,et al.  Image formation in phase-shifting digital holography and applications to microscopy. , 2001, Applied optics.

[13]  J C Wyant,et al.  Using computer generated holograms to test aspheric wavefronts. , 1972, Applied optics.

[14]  W. H. Lee,et al.  Sampled fourier transform hologram generated by computer. , 1970, Applied optics.

[15]  U. Schnars,et al.  Direct recording of holograms by a CCD target and numerical reconstruction. , 1994, Applied optics.

[16]  Ichirou Yamaguchi,et al.  Phase-shifting digital holography , 1997 .

[17]  H J Tiziani,et al.  Pulsed digital holography for high-speed contouring that uses a two-wavelength method. , 1999, Applied optics.

[18]  J C Wyant,et al.  Computer generated hologram; null lens test of aspheric wavefronts. , 1974, Applied optics.

[19]  Johannes Schwider,et al.  Dual-wave-front computer-generated holograms for quasi-absolute testing of aspherics. , 2002, Applied optics.

[20]  J. Wyant,et al.  Contouring Aspheric Surfaces Using Two-wavelength Phase-shifting Interferometry , 1985 .

[21]  James C Wyant,et al.  Phase-shifting birefringent scatterplate interferometer. , 2002, Applied optics.

[22]  R. W. Lawrence,et al.  Digital Image Formation From Electronically Detected Holograms , 1967 .