Optimization of random phase diversity for adaptive optics using an LCoS spatial light modulator

Polarization property analysis of single lenses

We have studied the basic polarization properties of variously shaped lenses for the on-axis beam in the exit pupil and present the data obtained. The Mueller calculus and three-dimensional polarization calculus methods were applied for polarization ray tracing. The calculation methods were compared on different samples. We have demonstrated that taking into account the shape of lenses when designing lens optical systems contributes to the minimization of the diattenuation magnitude.

Liquid crystal spatial light modulator based non-mechanical beam steering system fractional-order model

The liquid crystal spatial light modulator (LCSLM) is an optical device that can realise non-mechanical beam scanning. However, the traditional integer-order model cannot adequately characterise the dynamic performance of LCSLM beam steering because of the viscoelasticity of liquid crystals. This paper uses the memory characteristics of fractional calculus to construct a fractional constitutive equation for liquid crystals. Combining this equation with the LCSLM beam steering principle, a fractional-order model of the beam steering system is established, and the Legendre wavelet integration operational matrix method is used to estimate the model parameters. In addition, we established a test platform for the dynamic characteristics of LCSLM beam steering system and verified the effectiveness of the established model through experiments. The fitting effects of the integer-order and fractional-order models are compared, and the influence of different model orders on the dynamic performance of beam steering is analysed. Experimental results show that the fractional-order model can accurately describe the dynamic process of beam steering, and this model can be applied to the study of LCSLM-based two-dimensional non-mechanical beam steering control strategies to achieve fast, accurate, and stable beam scanning.

Cross-iteration multi-step optimization strategy for three-dimensional intensity position correction in phase diverse phase retrieval

Parameters mismatching between the real optical system and phase retrieval model undermines wavefront reconstruction accuracy. The three-dimensional intensity position is corrected in phase retrieval, which is traditionally separated from lateral position correction and axial position correction. In this paper, we propose a three-dimensional intensity position correction method for phase diverse phase retrieval with the cross-iteration nonlinear optimization strategy. The intensity position is optimized via the coarse optimization method at first, then the intensity position is cross-optimized in the iterative wavefront reconstruction process with the exact optimization method. The analytic gradients about the three-dimensional intensity position are derived. The cross-iteration optimization strategy avoids the interference between the incomplete position correction and wavefront reconstruction during the iterative process. The accuracy and robustness of the proposed method are verified both numerically and experimentally. The proposed method achieves robust and accurate intensity position correction and wavefront reconstruction, which is available for wavefront measurement and phase imaging.

Submillisecond-Response Polymer Network Liquid Crystal Phase Modulators

A submillisecond-response and light scattering-free polymer-network liquid crystal (PNLC) for infrared spatial light modulators is demonstrated. Our new liquid crystal host exhibits a higher birefringence, comparable dielectric anisotropy, and slightly lower visco-elastic constant than a commonly employed commercial material, HTG-135200. Moreover, the electro-optical performance of our PNLCs with different monomer concentrations, cell gaps, and liquid crystal (LC) hosts is compared and discussed from four aspects: operating voltage, hysteresis, relaxation time, and light scattering loss. The temperature effect on hysteresis is also analyzed. Potential applications of PNLCs for laser beam steering and spatial light modulators especially in the infrared region are foreseeable.

Phase retrieval and adaptive optics correction for systems with diffractive surfaces

Adaptive optics (AO) is a powerful technique for correcting extrinsic aberrations, such as those caused by atmospheric turbulence or biological sample thickness variations, by using measured phase information and a wavefront-correcting element. To extend AO techniques to systems with diffractive surfaces, considerations need to be made for additional components of the measured phase that are attributable to diffraction from the object and are not a part of the extrinsic aberration. For example, light reflected from a diffractive surface of an optical storage disk contains an additional phase due to the diffracted orders from the grating-like structure of the data tracks. In this work, a modified Gerchberg algorithm is presented as a viable method of phase retrieval to detect the total aberration, and correction for extrinsic aberrations is shown for light reflected from a grating. An experimental microscope system demonstrates successful AO correction, thus verifying simulation results.

Single-shot phase retrieval with complex diversity

The concept of complex diversity is introduced that adequately accounts for special considerations in the design of the system and the reconstruction algorithm for single-shot phase retrieval techniques. Complex-number pupil filters containing both amplitude and phase values are extracted by numerical propagation from a computer-generated hologram design, which generates multiple images in a single acquisition. The reconstruction is performed by a Fourier iterative algorithm modified with an area restriction to avoid noise amplification. Numerical simulations show that the complex diversity technique estimates extrinsic Kolmogorov aberration better than conventional single-shot techniques for a distant point object. Experiments show that sensorless adaptive optics correction is achieved using the complex diversity technique.