Effects of optical axis direction on optical path difference and lateral displacement of Savart polariscope

A simple method is applied to calculating the optical path difference （OPD） of a plane parallel uniaxial plate with an arbitrary optical axis direction. Then, the theoretical expressions of the OPD and lateral displacement （LD） of Savart polariscope under non-ideal conditions are obtained exactly. The variations of OPD and LD are simulated, and some important conclusions are obtained when the optical axis directions have an identical tolerance of ／pm 1^{{／circ}}. An application example is given that the tolerances of optical axis directions are gained according to the spectral resolution tolerances of the stationary polarization interference imaging spectrometer （SPIIS）. Several approximate formulae are obtained for explaining some conclusions above. The work provides a theoretical guidance for the optic design, crystal processing, installation and debugging, data analysis and spectral reconstruction of the SPIIS.

Decoupling Algorithms for the Gravitational Wave Spacecraft

The gravitational wave spacecraft is a complex multi-input multi-output dynamic system.The gravitational wave detection mission requires the spacecraft to achieve single spacecraft with two laser links and high-precision control.Establishing one spacecraftwith two laser links,compared to one spacecraft with a single laser link,requires an upgraded decoupling algorithmfor the link establishment.The decoupling algorithmwe designed reassigns the degrees of freedomand forces in the control loop to ensure sufficient degrees of freedomfor optical axis control.In addressing the distinct dynamic characteristics of different degrees of freedom,a transfer function compensation method is used in the decoupling process to further minimize motion coupling.The open-loop frequency response of the systemis obtained through simulation.The upgraded decoupling algorithms effectively reduce the open-loop frequency response by 30 dB.The transfer function compensation method efficiently suppresses the coupling of low-frequency noise.

Measurement of Optic Axis Direction Based on Interference Fringe Method

In order to conquer the defect in low precision and small range for measuring optic axial angle based on conoscopic interference method, interference fringe method is proposed. It is not the distance deviating from melatope but fringe numbers to decide optic axial angle. Fringe numbers are divided into integer portion and decimal fraction portion, the decimal fraction portion is calculated by non-linear interpolation method and integer portion is determined by the relative placement of interference fringes in the principal section. Extremum arithmetic of digit image is proposed and can be used to determine the interference fringes conveniently and precisely. After different niobate crystals were measured, the result shows that measurement range of optic axial angle is increased efficiently and measurement error is reduced to 0.1°.

A sensitive method of determining optic axis azimuth based on laser feedback

A sensitive method to determine the optic axis azimuth of the birefringence element is presented, which is based on laser feedback. The phase difference between the two intensities in birefringence feedback changes with the angle between the optic axis of the birefringence element and laser original polarization. The phase difference is highly sensitive to the relative position of the optic axis and the laser original polarization. This method is used to highly precisely determine the optic axis azimuth, and is able to distinguish between the fast axis and the slow axis of the birefringence element. Theoretical analysis and experimental results are both demonstrated.

Verticality Detection Algorithm Based on Local Image Sharpness Criterion

In the high precision image measurement system, the verticality error between the axis of the shooting system and the measured object can bring error of the measurement result. The high demand of the system’s vertical degree is raised by measure system due to the demands of high precision and disposable full field imaging in the micro-parts imaging measurement. The existing method of optical axis verticality detection cannot meet the demand all. In order to achieve the high-precision adjustment of the system optical axis, the algorithm of detecting verticality based on regional image definition is proposed. First, the objected standard image is divided into fixed area. Then, the object plane is moved from the downside to the upside of the focus plane, meanwhile, recording the definition function values of each standard image region at each step, and fitting out the clearest positions of the regions. Finally, according to the inter-regional relations between the locations and the height difference of the each regional clearest position, the small angle between the optical axis and the measured surface can be calculated. The experiment is based on the given image of lithography template with the scale of 10 μm as move unit, and the results show that this method effective reduced the small angle between the system optical axis and the measured body in high-precision image measuring system, the evaluation accuracy is less than 0.1°, meeting the requirements in high-precision measurement. The proposed method of detecting verticality based on regional image definition can evaluate the verticality error between the axis of the shooting system and the measured object accurately, effectively and conveniently.

The Quantum Science Experiment Satellite, An Experimental Facility in Space for Testing of Quantum Information Theory

The Quantum Science Experiment Satellite(QUSES) is the first satellite deployed successfully in nearEarth space for quantum scientific experiments in the world, in which experimental study on the fundamental questions of quantum mechanics can be done under the condition of a spatial scale about 500-2000 km. QUSES is performing a Quantum Key Distribution(QKD) experiment from satellite to ground station for testing of the global quantum secure communication network, and performing a Quantum Entanglement Distribution(QED) and Quantum Teleportation(QT) experiments with the purpose of testing the completeness of quantum mechanics theory at a sufficient spatial scale. The payload of QUSES is com posed of a Quantum Key Transceiver(QKT), a Quantum Entanglement Transmitter(QET), a Quantum Entangled-photon Source(QES), a Quantum Experiment Control Processor(QCP) and a Coherent laser Communication Terminator(CCT). This paper introduces the technical scheme of QUSES, including the requirement analysis, composi tion, technical innovation, on-orbit status and prospect of development for the future.

Definition and expression of non-symmetric physical properties in space for uniaxial crystals

The anisotropic physical property is the most noteworthy feature of crystals.In this paper,the subscript change method is used to analyze the sign changes of different tensors describing physical properties in uniaxial crystals.The distribution of some physical properties in special point groups exhibits non-symmetry in eight quadrants,which should attract the attention of crystal research.The difference between the crystallographic and physical coordinate systems and the lack of crystal symmetry operations are considered to be the origins of the non-symmetry.To avoid ambiguities and difficulties in characterizing and applying crystal physical properties,eight quadrants in space should be clarified.Hence,we proposed the use of piezoelectric properties to define the positive direction of the optical coordinate axis prior to the research and applications of optical properties.

Optic Axes and Elliptic Cone Equation in Coordinate-Invariant Treatment

We derive for crystal optics in coordinate-invariant way the cone approximation of refraction vectors in the neighborhood of optic axes and determine its invariants and eigenvectors. It proved to describe an elliptic cone. The second invariant of the operator of the wave equation with respect to similarity transformations determines the special cases of degeneration including the optic axes where the polarization of the waves due to self-intersection of the dispersion surface is not uniquely determined. This second invariant is included in all investigations and it is taken into account in the illustrations. It is biquadratic in the refraction vectors and the corresponding forth-order surface in three-dimensional space splits in two separate shells and a non-rational product decomposition describing this is found. We give also a more general classification of all possible solutions of an equation with an arbitrary three-dimensional operator.

Centration axis in refractive surgery

The human eye is an asymmetric optical system and the real cornea is not a rotationally symmetrical volume.Each optical element in the eye has its own optical and neural axes.Defining the optimum center for laser ablation is difficult with many available approaches.We explain the various centration approaches(based on these reference axes)in refractive surgery and review their clinical outcomes.The line-of-sight(LOS)(the line joining the entrance pupil center with the fixation point)is often the recommended reference axis for representing wavefront aberrations of the whole eye(derived from the definition of chief ray in geometrical optics);however pupil centration can be unstable and change with the pupil size.The corneal vertex(CV)represents a stable preferable morphologic reference which is the best approximate for alignment to the visual axis.However,the corneal light reflex can be considered as non-constant,but dependent on the direction of gaze of the eye with respect to the light source.A compromise between the pupil and CV centered ablations is seen in the form of an asymmetric offset where the manifest refraction is referenced to the CV while the higher order aberrations are referenced to the pupil center.There is a need for a flexible choice of centration in excimer laser systems to design customized and non-customized treatments optimally.