Abstract
he standard method for modeling the atmospheric short-exposure modulation transfer function (MTF) is due to Fried. This method involves evaluating the impact of amplitude and phase modulations of the propagating wavefront after the removal of the mean wavefront tilt. This tilt is determined by a least-squares analysis. We retain a term involving the correlation between tilt-corrected phase and computed tilt vector that was formerly assumed to be zero. Inclusion of this term yields a new turbulence-strength-dependent effect that degrades performance at high integrated turbulence levels and also predicts super-resolution effects at lower integrated turbulence levels. An analytical approximation is derived from this analysis that describes the new MTF model as a function of three dimensionless parameters related to the angular frequency, system aperture diameter, and integrated turbulence strength.
Highlights
The approximation written in Eq (51) should have included an ω2 dependence inside the exponential: MTðQ; X; ωÞ ≈ expfþð2.1XÞ5∕3NðQ; XÞ ω2g: (51)
The use of VðQ; XÞ was based on the approximation of Eq (51) where the primary ω dependence was quadratic
The function was evaluated at the −3 dB point of the MSðωÞ curve that yielded V > 1 under certain conditions
Summary
Tofsted U.S Army Research Laboratory, Computational and Information Sciences Directorate, Attn: RDRL-CIE-D, White Sands Missile Range, New Mexico 88002-5501 50(1), 016001 (2011)] was originally published on 6 January 2011 with errors in Eqs. The approximation written in Eq (51) should have included an ω2 dependence inside the exponential: MTðQ; X; ωÞ ≈ expfþð2.1XÞ5∕3NðQ; XÞ ω2g: (51)
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