Noise analysis for complex field estimation using a self-referencing interferometer wave front sensor

A noise analysis is presented for complex field estimation using a self-referencing interferometer wave front sensor with an amplified reference. The wave front sensor is constructed from a phase-shifting, point diffraction interferometer. The reference field is created by coupling a part of the incident wave front into a single mode fiber where it is optically amplified. The noise characteristics of this wave front sensor are examined in terms of the field estimation Strehl. The effects of several system parameters are examined\nobreak—shot noise, read noise, quantization noise, spontaneous emission from the amplifier, the relative intensities of the signal and reference fields, and temporal phase shifting.

[1]  R. Hudgin Wave-front reconstruction for compensated imaging , 1977 .

[2]  David L. Fried,et al.  Branch point problem in adaptive optics , 1998 .

[3]  R. E. Wagner,et al.  Coupling efficiency of optics in single-mode fiber components. , 1982, Applied optics.

[4]  J. Hardy,et al.  Adaptive Optics for Astronomical Telescopes , 1998 .

[5]  David L Fried,et al.  Evaluation of the performance of a shearing interferometer in strong scintillation in the absence of additive measurement noise. , 2002, Applied optics.

[6]  David L Fried,et al.  Evaluation of the performance of Hartmann sensors in strong scintillation. , 2002, Applied optics.

[7]  G. Tyler,et al.  Reconstruction and assessment of the least-squares and slope discrepancy components of the phase. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  D. Fried,et al.  Branch cuts in the phase function. , 1992, Applied optics.

[9]  David L. Fried,et al.  Adaptive optics wave function reconstruction and phase unwrapping when branch points are present , 2001 .

[10]  David L. Fried,et al.  Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements , 1977 .

[11]  J. Wyant Use of an ac heterodyne lateral shear interferometer with real-time wavefront correction systems. , 1975, Applied optics.

[12]  R. Noll Zernike polynomials and atmospheric turbulence , 1976 .

[13]  G. Tyler Bandwidth considerations for tracking through turbulence , 1994 .

[14]  J Schwider,et al.  Phase shifting interferometry: reference phase error reduction. , 1989, Applied optics.

[15]  Jeffrey D Barchers,et al.  Evaluation of phase-shifting approaches for a point-diffraction interferometer with the mutual coherence function. , 2002, Applied optics.