Mirror Alignment Research Articles

Closed-Loop Pointing Feedback for Heliostats in Concentrating Solar Power

Abstract Concentrating solar power (CSP) facilities need to ensure alignment of all sun-tracking heliostats onto the sunlight receiver. A method is proposed to keep all heliostats in a CSP facility under closed-loop pointing control while also providing feedback on the detailed alignment of the segment mirrors of each heliostat. The method is based on the sunlight directed toward the receiver, and thus works under full operational conditions and without the need of secondary optical alignments. It is based on retroreflectors (“retros”) to simultaneously return samples of the sunlight reflected by each mirror back to that same mirror. It goes beyond previous efforts at using retros by placing them into the concentrated sunlight, instead of in its periphery. Quartz glass will be used for its heat tolerance, and reflectivity modulation for visibility is achieved by rotating the retros. The technology can be retrofitted into existing CSP facilities to improve operational efficiency, and it can be used to relax the stability requirements of heliostats, and thus their cost, in the planning of new ones.

Tested mirror precision alignment system using a pinhole point diffraction interferometer based on machine vision

In the pinhole point diffraction interferometer (PPDI), proper alignment between the reflection spot of the tested component and the pinhole is critical to obtain accurate interferograms. At present, adjusting for tilt error requires manual manipulation, and defocus error cannot be corrected. These limitations impede the instrumentation process of PPDI. To address this issue, the proposed tested mirror alignment system utilizes diffraction theory to analyze the mathematical error caused by the misalignment of the tested mirror’s reflected beam and pinhole. An alignment system based on machine vision was designed according to specific requirements. This system incorporates a CCD camera with a zoom lens, the classic PPDI with a pinhole substrate containing a lithography-made mark, and a 3-DOF stepper motor adjusting frame to mount the tested mirror. Additionally, image processing algorithms and step motor driving programs were applied to achieve precise alignment. The system implementation and experimental results indicated that the tilt errors are well-controlled, achieving the defocus error modification, making the interferogram acquisition process more convenient. From the results, this system offers desirable precision and efficiency for PPDI’s tested mirror alignment.

Soft X-ray wavefront sensing at an ellipsoidal mirror shell

A reliable `in situ' method for wavefront sensing in the soft X-ray domain is reported, developed for the characterization of rotationally symmetric optical elements, like an ellipsoidal mirror shell. In a laboratory setup, the mirror sample is irradiated by an electron-excited (4.4 keV), micrometre-sized (∼2 µm) fluorescence source (carbon K α, 277 eV). Substantially, the three-dimensional intensity distribution I(r) is recorded by a CCD camera (2048 × 512 pixels of 13.5 µm) at two positions along the optical axis, symmetrically displaced by ±21–25% from the focus. The transport-of-intensity equation is interpreted in a geometrical sense from plane to plane and implemented as a ray tracing code, to retrieve the phase Φ(r) from the radial intensity gradient on a sub-pixel scale. For reasons of statistical reliability, five intra-/extra-focal CCD image pairs are evaluated and averaged to an annular two-dimensional map of the wavefront error {\cal W}. In units of the test wavelength (C K α), an r.m.s. value \sigma_{\cal{W}} = ±10.9λ0 and a peak-to-valley amplitude of ±31.3λ0 are obtained. By means of the wavefront, the focus is first reconstructed with a result for its diameter of 38.4 µm, close to the direct experimental observation of 39.4 µm (FWHM). Secondly, figure and slope errors of the ellipsoid are characterized with an average of ±1.14 µm and ±8.8 arcsec (r.m.s.), respectively, the latter in reasonable agreement with the measured focal intensity distribution. The findings enable, amongst others, the precise alignment of axisymmetric X-ray mirrors or the design of a wavefront corrector for high-resolution X-ray science.

Automatic extraction of facial median sagittal plane for patients with asymmetry based on the EDMA alignment algorithm.

We aimed to establish a novel method for automatically constructing three-dimensional (3D) median sagittal plane (MSP) for mandibular deviation patients, which can increase the efficiency of aesthetic evaluating treatment progress. We developed a Euclidean weighted Procrustes analysis (EWPA) algorithm for extracting 3D facial MSP based on the Euclidean distance matrix analysis, automatically assigning weight to facial anatomical landmarks. Forty patients with mandibular deviation were recruited, and the Procrustes analysis (PA) algorithm based on the original mirror alignment and EWPA algorithm developed in this study were used to construct the MSP of each facial model of the patient as experimental groups 1 and 2, respectively. The expert-defined regional iterative closest point algorithm was used to construct the MSP as the reference group. The angle errors of the two experimental groups were compared to those of the reference group to evaluate their clinical suitability. The angle errors of the MSP constructed by the two EWPA and PA algorithms for the 40 patients were 1.39 ± 0.85°, 1.39 ± 0.78°, and 1.91 ± 0.80°, respectively. The two EWPA algorithms performed best in patients with moderate facial asymmetry, and in patients with severe facial asymmetry, the angle error was below 2°, which was a significant improvement over the PA algorithm. The clinical application of the EWPA algorithm based on 3D facial morphological analysis for constructing a 3D facial MSP for patients with mandibular deviated facial asymmetry deformity showed a significant improvement over the conventional PA algorithm and achieved the effect of a dental clinical expert-level diagnostic strategy.

Gravitational wave detection by hollow-core fiber-optics Mach-Zehnder interferometry

Recent advances in the field of very long distance optical communication suggest the adoption of the advanced technology based on Hollow Core Nested Anti- resonant Nodeless Fiber (HC-NANF) within the endeavour of Gravitational Wave detection using a Mach-Zehnder optical interferometer (MZ-IF). The proposal, consisting of a summary project of the device emphasizes the favorable properties of (MZ- IF) in comparison with Michelson Interferometer (M-IF) currently in operation. The key feature of the proposed method consists of the use of a couple of “fibrated” metallic antennas enfolded by a very large number (h x 7,7 x 104 with h= 1,2,3 etc.) of coiled rings or of straight sections of the (HC-NANF) fiber. This amounts to a corresponding fiber length: L (K) = h x 1500 Km. The relevant properties of the device are noise reduction, absence of critical optical mirror alignment in a noisy environment, reduced spatial extension of the apparatus, exploration of the entire sky scenario by freely orientable antennas, a substantial cost reduction of the apparatus. The remarkable properties of (HC-NANF), invented by F. Poletti in 2013 are currently investigated by his group at the University of Southampton, UK.

Field-balancing alignment of the secondary mirror of space telescope using a self-calibrated model

In-orbit alignment of the secondary mirror (SM) of deployable space telescopes is crucial for high-resolution imaging. Traditional alignment methods, which typically involve dedicated wavefront sensors or numerous iterations to optimize a metric function, are not well-suited for space applications. In this paper, an improved model-based SM alignment method is proposed. The term model refers to the relationship between misalignments and a metric function. The improved method offers two advantages over the previous model-based method in [12]. Firstly, our method allows for self-calibration of the model without the need for an additional wavefront sensor, which greatly simplifies the calibration process. Secondly, our method enables field-balancing alignment of the SM with several correction cycles. The exposure number is only six in one correction cycle and is regardless of the number of FOV sampling points, making it highly efficient for telescopes with a large FOV. The feasibility and performance of our method are verified by simulation. A comparison with existing methods is also given to show the advantages of our method in convergence speed and accuracy.

DarsakX: A Python package for designing and analyzing imaging performance of X-ray telescopes

The imaging performance and sensitivity of an X-ray telescope when observing astrophysical sources are primarily governed by the optical design, geometrical uncertainties (figure errors, surface roughness, and mirror alignment inaccuracies), and the reflectivity properties of the X-ray reflecting mirror surface. To thoroughly evaluate the imaging performance of an X-ray telescope with an optical design similar to Wolter-1 optics, which comprises multiple shells with known geometrical uncertainties and mirror reflectivity properties, appropriate computational tools are essential. These tools are used to estimate the angular resolution and effective area for various source energies and locations and, more importantly, to assess the impact of figure errors on the telescope’s imaging performance. Additionally, they can also be used to optimize optics geometry by modifying it in reference to the Wolter-1 optics, aiming to minimize the optical aberration associated with the Wolter-1 configuration. In this paper, we introduce DarsakX, a Python-based ray tracing computational tool specifically designed to estimate the imaging performance of a multi-shell X-ray telescope. DarsakX has the capability to simulate the impact of figure errors present in the axial direction of a mirror shell. The geometrical shape of the mirror shells can be defined as a combination of figure error with the base optics, such as Wolter-1 or Conical optics. Additionally, DarsakX allows the exploration of new optical designs involving two reflections similar to Wolter-1 optics but with an improved angular resolution for wide-field telescopes. Developed through an analytical approach, DarsakX ensures computational efficiency, enabling fast processing.

A Secondary Mirror Alignment Method for Segmented Telescopes Using a Wavefront Sensor-Less Method

A Secondary Mirror Alignment Method for Segmented Telescopes Using a Wavefront Sensor-Less Method

Two-axial alignment mirror for optical-quantum generator resonator (Tomsk)

There are currently laser systems used at many stages of construction. They allow to solve engineering problems with great accuracy. The paper considers the design of a twoaxis alignment unit.Purpose: The aim of this work is to design the two-axial alignment mirror of the optical quantum oscillator resonator.Methodology: Deformation of elastic elements are determined by the energy method. The relation between rotation angles of the alignment screw and the resonator mirror normal is determined analytically.Research findings: The influence of design parameters of the assembly on its performance is evaluated. A comparative analysis is presented for the sensitivity of two-axial and uniaxial knots of the alignment mirror. The advantage of the two-axial knot is shown by calculations. The obtained results can be applied in laser construction technology.

Deep learning for estimation of Kirkpatrick–Baez mirror alignment errors

Deep learning for estimation of Kirkpatrick–Baez mirror alignment errors

Combining diagnostics, modeling, and control systems for automated alignment of the TES beamline

X-ray beamlines are essential components of all synchrotron light sources. Practical operations involve frequent variation in beamline component positions and orientation, particularly when photon beam parameters shift due to experimental needs, or due to variations in the incoming photon beam. The alignment process can be time consuming and takes away from valuable beam time for experimental data collection. We describe progress in the automation of certain alignment tasks on the tender-energy X-ray spectroscopy (TES) beamline at the National Synchrotron Light Source II (NSLS-II). The beamline is controlled using the BlueSky software in which high level experimental plans guide the beamline components during an experiment. Numerous software packages exist for beamline modeling, and they may be tied to the beamline control system using a package we are continuing to develop called Sirepo-Bluesky. The photon beam distribution may be measured with fluorescent screens, and a relation between beam and machine state can be found by varying the mirror and aperture settings over a multi-dimensional range. We describe the results of such parameter varying measurements and how we are combining Sirepo-Bluesky with machine learning methods and reduced models to automate mirror alignment on the TES beamline.

WS2-Flake-Sandwiched, Au-Nanodisk-Enabled High-Quality Fabry-Pérot Nanoresonators for Photoluminescence Modulation.

The increasing demand for compact and high-performance photonic devices drives the development of optical resonators with nanoscale sizes and ultrahigh quality factors. Fabry-Pérot (FP) resonators, the most widely employed optical resonators, can support ultrahigh quality factors in the simple structure, which is particularly attractive for applications in lasers, filters, and ultrasensitive sensors. However, the construction of FP resonators with both nanoscale sizes and high quality factors has still faced challenges. Herein we demonstrate the construction of FP nanoresonators out of single Au nanodisks (NDs) and a Au film, with a WS2 flake sandwiched in between. The atomically flat surfaces of the WS2 flake and Au NDs benefit mirror alignment and boost the quality factor up to 76. The nanoresonators can support FP resonances with different mode orders in the visible region. The optical properties and formation mechanisms of the high-quality FP modes are systematically studied. The FP modes are further hybridized with excitons in the WS2 flake spacer, enabling the modulation of the WS2 indirect band gap emissions. Our study combines the advantages of plasmonic nanoparticles and FP resonators, providing a promising platform for the development of compact nanophotonic devices such as tunable nanolasers, smart sensors, and photonic-circuit elements.

The Mirror Alignment Principle

The Mirror Alignment Principle

Structural analysis of large-scale SS collecting mirrors for ITER diagnostics

ITER is a nuclear fusion research and engineering project. It is supposed to be the first fusion device designed for testing the integrated technologies, materials, and physical aspects necessary for development of the commercially available fusion-power plant. One of the important components of the project is optical diagnostic systems with collecting mirrors. These mirrors have to provide stability of optical systems under severe loads of different types that could possibly arise in the tokamak. The collecting mirrors of several ITER diagnostics have a large scale and should be installed into diagnostic ports. Thermal stress analysis of the mirror updated design is aimed to obtain deformation and rotation values of the mirrors’ reflecting surfaces in order to conduct ray tracing analysis and to edit mirrors alignment to provide correct functioning of the optical systems. The maximum temperature values of the Divertor Thomson Scattering collecting mirrors were estimated for the normal operation mode. The FE model of the second mirror takes into account all the force boundary conditions, basic kinematic boundary conditions and constraints. Boundary conditions taken for the simulation were applied on surfaces contacting with the diagnostic rack. Thermally stressed state was calculated and corresponding displacement and rotation distributions were obtained.

A Parallel Approach to Mobile Affixation in Huave

Huave exhibits "mobile affixation", whereby the placement of individual affixes varies depending on the phonological properties of affix and stem. Kim (2008, 2010) analyzed these facts within a cyclic cophonology approach through the interaction between alignment constraints (McCarthy & Prince, 1993) and the phonological constraints *CC and DEP. Using the same core components, this paper develops an alternative, fully parallel analysis.In this approach, morphemes are unordered in the phonological input, every morpheme is indexed to its own (crucially gradient) alignment constraint, and output ordering is determined entirely through simultaneous constraint interaction. Notably, this analysis captures a previously unnoticed generalization about the stability of left/right order between affixes in the language.The main contribution of this new analysis is that it provides a principled distinction between mobile and immobile affixes: the order of affixes, as determined by the relative ranking of their alignment constraints, correlates with their ability to trigger epenthesis, as determined by their ranking relative to DEP. This follows from a parallel approach with a single language-wide ranking, but not from a cyclic cophonology account. Furthermore, this distinction can be tied directly to morphosyntactic structure via Zukoff's (2020) "Mirror Alignment Principle" and considerations of Base-Derivative faithfulness (Benua, 1997).

Geometric Calibration Updates to Landsat 7 ETM+ Instrument for Landsat Collection 2 Products

The Landsat 7 (L7) spacecraft and its instrument, the enhanced thematic mapper plus (ETM+), have been consistently characterized and calibrated since its launch in April of 1999. These performance metrics and calibration updates are determined through the U. S. Geological Survey (USGS) Landsat image assessment system (IAS), which has been performing this function since launch. Starting in 2016, the USGS adopted a tiered collection management structure for its Landsat data products that ensures a consistent method of processing for the Landsat archive within a given collection while allowing a set of calibration updates to be performed between any two given collections. The time frame between 2016 and the end of 2020 was part of the Landsat data Collection 1, in the middle of 2020 was the start of the Landsat Collection 2 data products. The start of a given collection initiates the reprocessing of the Landsat archive, which may involve one or more of a set of updated calibration parameters, improvements in the support data needed for product generation, and improved algorithms used in both the processing flow of products along with the characterization and calibration of the Landsat instruments and spacecraft. This paper discusses only the ETM+ geometric spacecraft and instrument calibration improvements for Collection 2. Three ETM+ calibration updates were made for the ETM+; updates to the thermal band odd-to-even detector alignment, sensor to attitude control system (ACS) alignment, and a cold-to-warm focal plane alignment adjustment. The sensor alignment updates impact only the accuracy of the systematic terrain products (L1GT), which are the products generated before applying any corrections based on the ground control used in registration. The band alignment changes impacted only bands 5, 6, and 7 within the focal plane. Other geometric calibration updates, such as scan mirror alignment, are done on a routine basis and are not part of the Collection 2 updates due to their more dynamic characteristics.

Finesse Limits in Hollow Core Fiber based Fabry-Perot interferometers

Due to their low sensitivity to changes to the external environment, low optical nonlinearity, low chromatic dispersion, and compatibility with fiber systems, hollow-core optical fibers (HCFs) represent an ideal medium for fiber Fabry-Perot interferometers (FPs). Many applications can benefit from the availability of FPs with high finesse or high finesse-length product. However, the mechanisms that limit the performance of HCF-based FPs are yet to be fully elucidated to the best of our knowledge. In this paper, we present a comprehensive analysis of several factors that impact HCF-FP performance and limit their finesse, e. g., mirror tilt, the distance between the HCF end-face and mirror, HCF cleave angle and HCF attenuation. In a sequence of experiments, we built and characterized five HCF-FPs with lengths ranging from 0.65 m to 9.25 m. By fitting the experimental data with derived analytical expressions, we found the mirror-assisted coupling loss to be below -0.0028 dB (corresponding to a coupling efficiency of 99.94%), which should allow finesse values greater than 5000 to be achieved. Experimentally, we demonstrate here a value of 2400, limited by the parameters of the mirrors available to us presently. We then show that the low coupling loss and high repeatability of mirror alignment and HCF cleave quality allows the effective use of such high-finesse FP for reliable measurements of HCF attenuation, even with short fiber length samples (10 m in our demonstration).

Alignment of the active secondary mirror of a space telescope using model-based wavefront sensorless adaptive optics.

The precise alignment of the space telescope with an active secondary mirror (ASM) is essential to high-quality imaging. The traditional alignment methods either require a dedicated wavefront sensor or a lot of iterations to optimize a metric function, which is not suitable for on-orbit instant alignment. A model-based wavefront sensorless adaptive optics method is proposed for the alignment of the ASM of a wide field-of-view space telescope. In our method, the aberration is estimated by introducing a series of modal biases successively into the system using the ASM. Unlike the traditional wavefront sensing methods that intend to measure all aberration modes, only five aberration modes that can be compensated by the ASM are estimated. Two alignment schemes either using single-field or multi-field images are proposed to calculate the control signals of the ASM, depending on if the aberration is mainly caused by the ASM. Simulations are made to evaluate the performance of our method under different scenarios. The influence of image sampling frequency, image size, and image noise on alignment are also investigated.

Generation of an X-ray nanobeam of a free-electron laser using reflective optics with speckle interferometry.

Ultimate focusing of an X-ray free-electron laser (XFEL) enables the generation of ultrahigh-intensity X-ray pulses. Although sub-10 nm focusing has already been achieved using synchrotron light sources, the sub-10 nm focusing of XFEL beams remains difficult mainly because the insufficient stability of the light source hinders the evaluation of a focused beam profile. This problem is specifically disadvantageous for the Kirkpatrick-Baez (KB) mirror focusing system, in which a slight misalignment of ∼300 nrad can degrade thefocused beam. In this work, an X-ray nanobeam of a free-electron laser wasgenerated using reflective KB focusing optics combined with speckle interferometry. The speckle profiles generated by 2 nm platinum particles were systematically investigated on a single-shot basis by changing the alignment of the multilayer KB mirror system installed at the SPring-8 Angstrom Compact Free-Electron Laser, in combination with computer simulations. It was verified that the KB mirror alignments were optimized with the required accuracy, and a focused vertical beam of 5.8 nm (±1.2 nm) was achieved after optimization. The speckle interferometry reported in this study is expected to be an effective tool for optimizing the alignment of nano-focusing systems and for generating an unprecedented intensity of up to 1022 W cm-2 using XFEL sources.

Sensitivity Enhancement Factor for Gain-Assisted Cavity Enhanced Spectroscopy

Fiber-based gain-assisted incoherent broadband cavity enhanced spectroscopy is a novel technique used to enhance spectroscopic measurement sensitivity. This technique overcome the drawbacks of the conventional cavity enhanced techniques, in the need for optical alignment and high reflectivity mirror as they are based on free-space Fabry-Perot cavity. However, to assess the value of this technique, the sensitivity enhancement factor over the direct path absorption spectroscopy should be calculated. In this work, an analytical, and experimental study for the sensitivity of the fiber-based incoherent gain-assisted ring enhanced spectroscopy techniques are demonstrated. Two fiber-based configurations are studied for different system parameters. The first configuration is a dual-coupler ring with the source outside the resonator and the gain medium inside the resonator. The broadband source is the amplified spontaneous emission (ASE) of a semiconductor optical amplifier (SOA). While the second configuration is single-coupler resonator with the gain medium acting as the broadband source. The optical absorption of acetylene (C 2 H 2 ) gas around 1540 nm wavelength has been measured. The output spectrum has been measured using an optical spectrum analyzer (OSA) of 70 pm resolution. The sensitivity is enhanced by a factor of 942 in the case of the single-coupler configuration, compared to the direct absorption of the gas cell. The study elaborates that intracavity (single-coupler) configuration provides SNR enhancement in thermal noise limited system. In contrast to conventional incoherent broadband techniques that don't provide any enhancement in case of thermal noise limited system.