Curvature sensors: noise and its propagation

The signal measured with a curvature sensor is here analyzed. In the outset, we derive the required minimum number of sensing elements at the pupil edges, in dependence on the total number of sensing elements. The distribution of the sensor signal is further characterized in terms of its mean, variance, kurtosis and skewness. It is established that while the approximation in terms of a gaussian distribution is correct down to fairly low photon numbers, much higher numbers are required to obtain meaningful sensor measurements for small wavefront distortions. Finally, we indicate a closed expression for the error propagation factor and for the photon-noise induced Strehl loss.Comment: Accepted for publication in the Adaptive Optics Feature of JOSA

Detection of phase singularities with a Shack-Hartmann wavefront sensor

While adaptive optical systems are able to remove moderate wavefront distortions in scintillated optical beams, phase singularities that appear in strongly scintillated beams can severely degrade the performance of such an adaptive optical system. Therefore, the detection of these phase singularities is an important aspect of strong scintillation adaptive optics. We investigate the detection of phase singularities with the aid of a Shack-Hartmann wavefront sensor and show that, in spite of some systematical deficiencies inherent to the Shack-Hartmann wavefront sensor, it can be used for the reliable detection of phase singularities, irrespective of their morphologies. We provide full analytical results, together with numerical simulations of the detection process.Comment: 23 pages, 9 figure

Stroke saturation on a MEMS deformable mirror for woofer-tweeter adaptive optics

High-contrast imaging of extrasolar planet candidates around a main-sequence star has recently been realized from the ground using current adaptive optics (AO) systems. Advancing such observations will be a task for the Gemini Planet Imager, an upcoming "extreme" AO instrument. High-order "tweeter" and low-order "woofer" deformable mirrors (DMs) will supply a >90%-Strehl correction, a specialized coronagraph will suppress the stellar flux, and any planets can then be imaged in the "dark hole" region. Residual wavefront error scatters light into the DM-controlled dark hole, making planets difficult to image above the noise. It is crucial in this regard that the high-density tweeter, a micro-electrical mechanical systems (MEMS) DM, have sufficient stroke to deform to the shapes required by atmospheric turbulence. Laboratory experiments were conducted to determine the rate and circumstance of saturation, i.e. stroke insufficiency. A 1024-actuator 1.5-um-stroke MEMS device was empirically tested with software Kolmogorov-turbulence screens of r_0=10-15cm. The MEMS when solitary suffered saturation ~4% of the time. Simulating a woofer DM with ~5-10 actuators across a 5-m primary mitigated MEMS saturation occurrence to a fraction of a percent. While no adjacent actuators were saturated at opposing positions, mid-to-high-spatial-frequency stroke did saturate more frequently than expected, implying that correlations through the influence functions are important. Analytical models underpredict the stroke requirements, so empirical studies are important.Comment: 16 pages, 10 figure

Nonradioactive, ultrasensitive site-specific protein–protein photocrosslinking: interactions of α-helix 2 of TATA-binding protein with general transcription factor TFIIA and transcriptional repressor NC2

We have developed an approach that enables nonradioactive, ultrasensitive (attamole sensitivity) site-specific protein–protein photocrosslinking, and we have applied the approach to the analysis of interactions of α-helix 2 (H2) of human TATA-element binding protein (TBP) with general transcription factor TFIIA and transcriptional repressor NC2. We have found that TBP H2 can be crosslinked to TFIIA in the TFIIA–TBP–DNA complex and in higher order transcription–initiation complexes, and we have mapped the crosslink to the ‘connector’ region of the TFIIA α/β subunit (TFIIAα/β). We further have found that TBP H2 can be crosslinked to NC2 in the NC2–TBP–DNA complex, and we have mapped the crosslink to the C-terminal ‘tail’ of the NC2 α-subunit (NC2α). Interactions of TBP H2 with the TFIIAα/β connector and the NC2α C-terminal tail were not observed in crystal structures of TFIIA–TBP–DNA and NC2–TBP–DNA complexes, since relevant segments of TFIIA and NC2 were not present in truncated TFIIA and NC2 derivatives used for crystallization. We propose that interactions of TBP H2 with the TFIIAα/β connector and the NC2α C-terminal tail provide an explanation for genetic results suggesting importance of TBP H2 in TBP–TFIIA interactions and TBP–NC2 interactions, and provide an explanation—steric exclusion—for competition between TFIIA and NC2