Linear analysis of thermal blooming compensation instabilities in laser propagation.

Thermal blooming compensation instabilities are examined. The linearized system of thermal blooming compensation (TBC) equations is studied to develop parameters that characterize the stability of phase-only and full-wave (amplitude and phase) compensation for the effects of thermal blooming. The stabilizing effects of microscale wind shear are included in the analysis to provide a mechanism to stabilize the TBC equations. Stability is equated to existence of bounded solutions of the linear TBC equations, and appropriate dimensionless parameters are developed that ensure existence and uniqueness of bounded solutions to the TBC equations. Parameters characterizing stability are expressed in forms analogous to conventional scaling laws.

[1]  J. Herrmann,et al.  Phase compensation for thermal blooming. , 1974, Applied optics.

[2]  Thomas J. Karr,et al.  Thermal blooming compensation instabilities , 1989 .

[3]  Holmes,et al.  A linearized theory of transient laser heating in fluids. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[4]  Daniel V. Murphy,et al.  Compensation of atmospheric optical distortion using a synthetic beacon , 1991, Nature.

[5]  W. O. Saxton,et al.  Measurement of the Transverse Electric Field Profile of Light by a Self-referencing Method with Direct Phase Determination References and Links " Measurement of Atmospheric Wavefront Distortion Using Scattered Light from a Laser Guide-star, " , 2022 .

[6]  Kenneth J. Barnard,et al.  Modulation-transfer function measurement of SPRITE detectors: sine-wave response. , 1992, Applied optics.

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

[8]  R. Gonsalves,et al.  Compensation of scintillation with a phase-only adaptive optic. , 1997, Optics letters.

[9]  Michael C. Roggemann,et al.  Two-Deformable-Mirror Concept for Correcting Scintillation Effects in Laser Beam Projection Through the Turbulent Atmosphere , 1998 .

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

[11]  David L. Fried,et al.  Wind-shear induced stabilization of PCI , 1998 .

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

[13]  J. Barchers.  Evaluation of the impact of finite-resolution effects on scintillation compensation using two deformable mirrors. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  J D Barchers,et al.  Improved compensation of turbulence-induced amplitude and phase distortions by means of multiple near-field phase adjustments. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  Jeffrey D Barchers,et al.  Closed-loop stable control of two deformable mirrors for compensation of amplitude and phase fluctuations. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

[17]  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.

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

[19]  Jeffrey D Barchers.  Application of the parallel generalized projection algorithm to the control of two finite-resolution deformable mirrors for scintillation compensation. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.