We introduce an innovative concept for 3D imaging that utilizes a structured light principle. While our design is specifically tailored for collaborative scenarios involving mobile transport robots, it is also applicable to similar contexts. Our system pairs a standard camera with a projector that employs a diffractive optical element (DOE) and a collimated laser beam to generate a coded light pattern. This allows a three-dimensional measurement of objects from a single camera shot. The main objective of the 3D-sensor is to facilitate the development of automatic, dynamic and adaptive logistics processes capable of managing diverse and unpredictable events. The key novelty of our proposed system for triangulation-based 3D reconstruction is the unique coding of the light pattern, ensuring robust and efficient 3D data generation, even within challenging environments such as industrial settings. Our pattern relies on a perfect submap, a matrix featuring pseudorandomly distributed dots, where each submatrix of a fixed size is distinct from the others. Based on the size of the working space and known geometrical parameters of the optical components, we establish vital design constraints like minimum pattern size, uniqueness window size, and minimum Hamming distance for the design of an optimal pattern. We empirically examine the impact of these pattern constraints on the quality of the 3D data and compare our proposed encoding with some single-shot patterns found in existing literature. Additionally, we provide detailed explanations on how we addressed several challenges during the fabrication of the DOE, which are crucial in determining the usability of the application. These challenges include reducing the 0th diffraction order, accommodating a large horizontal field of view, achieving high point density, and managing a large number of points. Lastly, we propose a real-time processing pipeline that transforms an image of the captured dot pattern into a high-resolution 3D point cloud using a computationally efficient pattern decoding methodology.
Laser applications like 3D sensing, multifocal microscopy and material processing require high uniformity of the dot patterns created by diffractive optical elements (DOEs). Using an inverse design method for such DOEs, based on gradient-optimization and rigorous coupled-wave analysis, we have investigated a few case studies. We will discuss beam splitters generating a 1D 1×15 fan-out for 1550 nm wavelength, a 1D 1×16 fan-out for 532 nm wavelength and a 2D 3×5 fan-out for 405 nm wavelength with full-pattern angles up to 54°. We obtained uniformity errors as low as 3% for the elements fabricated in fused silica.
Diffractive optical elements with a large diffraction angle require feature sizes down to sub-wavelength dimensions, which require a rigorous electromagnetic computational model for calculation. However, the computational optimization of these diffractive elements is often limited by the large number of design parameters, making parametric optimization practically impossible due to large computation times. The adjoint method allows calculating the gradient of the target function with respect to all design variables with only two electromagnetic simulations, thus enabling gradient optimization. Here, we present the adjoint method for modeling wide-angle diffractive optical elements like 7×7 beam splitters with a maximum 53° diffraction angle and a non-square 5×7 array generating beam splitter. After optimization we obtained beam splitter designs with a uniformity error of 16:35% (7×7) and 6:98% (5×7), respectively. After reviewing the experimental results obtained from fabricated elements based on our designs, we found that the adjoint optimization method is an excellent and fast method to design wide-angle diffractive fan-out beam-splitters.
Nowadays, diffractive optical elements are used for a variety of applications because of their high design flexibility, compact size, and mass productivity. At the same time, they require having high and complex optical functionalities such as a large number of diffraction orders and a wide diffraction angle, which is beyond the limits of scalar paraxial diffraction domain. We propose a stable and fast gradient-based optimization algorithm based on step-transition perturbation approach applied to design binary diffractive elements with small and many features for being performed in a large number of diffraction orders and wide diffraction angles. Using our optimization, we obtained high-performance elements than using optimization based on purely scalar theory. In addition, it needs much less calculation time than parametric optimization based on rigorous diffraction theory. Upon verification with the experimental results, we observed that our gradient-based optimization method is valid for 1-by-117 fan-out grating with some small features (on the order of the illumination wavelength) and about 22° full pattern diffraction angle.
In this work we demonstrate the advantages of investigating diffractive optical elements in the phase domain. In this regime we can detect features that are not restrained by the diffraction limit and relate them to the geometrical and optical properties of the sample under test. To accomplish that, we use the custom made spectral high resolution interference microscope. Phase map recordings allow for easier and more precise localization of the positions, where phase changes happen. We show the localization capabilities by detecting phase singularities created by a trench. We also apply the concept to abrupt phase jumps of a phase diffractive component and determine the achievable resolution.
Structured light has become a widespread technique for the development of camera-based 3D sensors. The structured illumination provides texture to homogeneous objects and thus allows for the reliable determination of the disparity of each object point in a stereo-camera setting. Even a monocular 3D sensor is possible if the light projector has a fixed relative position to the camera and if the structured light is coded, i.e. the position within the whole light pattern can be reconstructed uniquely from a small local window of the pattern, the uniqueness window. Coded patterns with such a uniqueness property are called Perfect SubMaps (PSM). In our paper we focus on the design and evaluation of the subset of symmetric isolated binary toroidal PSMs (SIBTPSM) for structured light patterns, because of their beneficial properties with respect to the signal-to-noise ratio and the use with laser light sources and DOEs. We define several figures of merit that are relevant for the practical use of PSMs in a 3D sensor: the PSM size, the size of the uniqueness window, the Hamming distance, the density, and the homogeneity. We have created SIBTPSMs using our own dedicated algorithms and have designed and fabricated DOEs that produce these patterns with large fan angles of 61° × 47° when used with near-infrared diode lasers (λ = 830nm). We analyze the influence of these characteristics on the 3D measurement process by theory, simulations, and experiments. The patterns of publicly available DOEs based on SIBTPSMs are used for comparison and reference. Our results show that the PSM width, the uniqueness window size, the minimum and average Hamming distances, and the uniformity have strong impact on either speed or quality of the 3D reconstruction, whereas the point density and the PSM height are of minor importance.
The demand of high resolution diffractive optical elements (DOE) is growing. Smaller critical dimensions allow higher deflection angles and can fulfill more demanding requirements, which can only be met by using electron-beam lithography. Replication techniques are more economical, since the high cost of the master can be distributed among a larger number of replicas. The lack of a suitable mold material for precision glass molding has so far prevented an industrial use. Glassy Carbon (GC) offers a high mechanical strength and high thermal strength. No anti-adhesion coatings are required in molding processes. This is clearly an advantage for high resolution, high aspect ratio microstructures, where a coating with a thickness between 10 nm and 200 nm would cause a noticeable rounding of the features. Electron-beam lithography was used to fabricate GC molds with highest precision and feature sizes from 250 nm to 2 μm. The master stamps were used for precision glass molding of a low Tg glass L-BAL42 from OHARA. The profile of the replicated glass is compared to the mold with the help of SEM images. This allows discussion of the max. aspect-ratio and min. feature size. To characterize optical performances, beamsplitting elements are fabricated and their characteristics were investigated, which are in excellent agreement to theory.
Replication techniques for diffractive optical elements (DOEs) in soft materials such as plastic injection molding are state of the art. For precision glass molding in glasses with high transition temperatures, molds with extreme thermal resistivity, low chemical reactivity and high mechanical strength are needed. Glassy Carbon can be operated up to 2000°C making it possible to mold almost all glasses including Fused Silica with a transition temperatures above 1060°C. For the structuring of Glassy Carbon wafers photolithography and a RIE process is used. We have developed a process using Si as a hard mask material. If the flow rates of the etching gases O2 and SF6 are chosen properly, high selectivity of GC to Si 19:1 can be achieved, which provides excellent conditions to realize high resolution elements with feature size down to 1 micron and fulfills requirements for optical applications. We fabricated several multilevel GC molds with 8 levels of structuring. Two different optical functionalities were implemented: 6x6 array beamsplitter and 1x4 linear beamsplitter. The molds were applied for precision glass molding of a low Tg glass L-BAL 42 (from Ohara) with a transition temperature of 565°C. Their optical performance was measured. A more detailed analysis of the impact of mold fabrication defects on optical performance is done. Rigorous coupled wave analysis simulations are performed, where we included fabrication constrains such as duty cycle, edge depth errors, wall verticality and misalignment errors. We will compare the results with the design specifications and discuss the influence of fabrication errors introduced during the different process steps.
A consumer market for diffractive optical elements in glass can only be created if high efficient elements are available at affordable prices. In diffractive optics the efficiency and optical properties increases with the number of levels used, but in the same way the costs are multiplied by the number if fabrication steps. Replication of multilevel diffractive optical elements in glass would allow cost efficient fabrication but a suitable mold material is needed. Glassy carbon shows a high mechanical strength, thermal stability and non-sticking adhesion properties, which makes it an excellent candidate as mold material for precision compression molding of low and high glass-transition temperature materials. We introduce an 8 level micro structuring process for glassy carbon molds with standard photolithography and a Ti layer as hard mask for reactive ion etching. The molds were applied to thermal imprinting onto low and high transition temperature glass. Optical performance was tested for the molded samples with different designs for laser beamsplitters. The results show a good agreement to the design specification. Our result allow us to show limitations of our fabrication technique and we discussed the suitability of precision glass molding for cost efficient mass production with a high quality.
Glassy carbon is used nowadays for a variety of applications because of its mechanical strength, thermal stability and non-sticking adhesion properties. This makes it also a suitable candidate as mold material for precision compression molding of low and high glass-transition temperature materials. To fabricate molds for diffractive optics a highresolution structuring technique is needed. We introduce a process that allows the micro-structuring of glassy carbon by reactive ion etching. Key parameters such as uniformity, surface roughness, edge definition and lateral resolution are discussed. They are the most relevant parameters for a stamp in optical applications. The use of titanium as a hard mask makes it possible to achieve a reasonable selectivity of 4:1, which has so far been one of the main problems in microstructuring of glassy carbon. We investigate the titanium surface structure with its 5-10 nm thick layer of TiO2 grains and its influence on the shape of the hard mask. In our fabrication procedure we were able to realize optically flat diffractive structures with slope angles of more than 80° at typical feature sizes of 5 μm and at 700 nm depth. The fabricated glassy carbon molds were applied to thermal imprinting onto different glasses. Glassy carbon molds with 1 mm thickness were tested with binary optical structures. Our experiments show the suitability of glassy carbon as molds for cost efficient mass production with a high quality.
Glassy carbon is used nowadays for a variety of applications because of its mechanical strength, thermal stability and
non-sticking adhesion properties. One application is glass molding that allows to realize high resolution diffractive
optical elements on large areas and at affordable price appropriate for mass production. We study glassy carbon microstructuring
for future precision compression molding of low and high glass-transition temperature. For applications in
optics the uniformity, surface roughness, edge definition and lateral resolution are very important parameters for a stamp
and the final product. We study different methods of microstructuring of glassy carbon by etching and milling. Reactive
ion etching with different protection layers such as photoresists, aluminium and titanium hard masks have been
performed and will be compare with Ion beam etching. We comment on the quality of the structure definition and give
process details as well as drawbacks for the different methods. In our fabrications we were able to realize optically flat
diffractive structures with slope angles of 80° at typical feature sizes of 5 micron and 700 nm depth qualified for high
precision glass molding.
We present a CTIS system that uses an optimized diffractive optical element (DOE) to project the spectral and
spatial information simultaneously onto a CCD. We compare the DOE with and older approach based on glass
gratings and found that the DOE gave an improved spectral response. We argue that a DOE is the most effective
approach for CTIS.
Snapshot approaches address various possibilities to acquire the spectral and spatial information of a scene within a
single camera frame. One advantage over the classical push broom or staring imager approaches is that the temporal
inconsistency between consecutive scan lines in first case or between the acquired monochromatic images in the second
case is avoided. However, this has to be paid by some effort to rearrange or reconstruct the explicit spectral cube from
the entangled raw data in the single camera frame. Besides others, the utilization of a diffractive optical element (DOE)
is one such snapshot approach (CTIS - computed tomography imaging spectrometer). The DOE is used to create an
optical transfer function that projects both the spectral and spatial information of a scene onto a sensor array and a
reconstruction algorithm is used that recovers the spectral cube from the dispersed image pattern. The design of the DOE
is crucial for the overall system performance as the absolute transmission efficiency of the zeroth and first order versus
the relative efficiency between the two over the required wavelength range are difficult to optimize if the limited
dynamic range of a real camera is considered. We describe the optimization of such a DOE for the wavelength range
from 400 to 780nm and the required reconstruction algorithm to recover the spectral cube from the entangled snapshot
image. The described snapshot approach has been evaluated using experiments to assess the spatial and spectral
resolution using diffuse reflectance standards. Additionally the results achieved using the described setup for multi-color
in-situ fluorescence hybridized preparations (M-FISH) are discussed.
In close collaboration with four German universities, we have developed tutorials for experiments based on a transmissive liquid-crystal spatial light modulator (SLM). The experimental tutorials are grouped in six project modules, which cover a wide range of phenomena and have different levels of difficulty. At a basic level, students can investigate the SLM in its probably most well-known application as an image-generating element in a simple optical projector setup. At more advanced levels, the application as an adaptive optical element can be investigated in three different projects covering wave-optical phenomena. The fields covered include Fourier Optics using the SLM as a dynamic fan-out beam-splitter or kinoform, Computer-Generated Holography and basic Interferometry. For the support of these projects, software was developed which permits the generation of adaptive optical structures by the student with a user-friendly interface, while the underlying algorithms are explained in the theoretical tutorial. The modulation of the light by the twisted-neumatic liquid crystal cells of the SLM can be investigated in the two most advanced projects. In the first one, the parameters of the cell and the components of its Jones matrix can be derived from transmission measurements with rotatable polarizers at a number of different wavelengths. This project gives insight to the Jones matrix calculus at the level required for the analysis. In the second one, the complex-valued transmission of the SLM is determined by measuring the diffraction efficiency of dynamically addressed Ronchi gratings.
We present a method that enables the generation of arbitrary positioned dual-beam traps without additional
hardware in a single-beam holographic optical tweezers setup. By this approach stable trapping at low numerical
aperture and long working distance is realized with an inverse standard research microscope. Simulations and
first experimental results are presented. Additionally we present first steps towards using the method to realize
a holographic 4π-microscope. We will also give a detailed analysis of the phase-modulating properties and
especially the spatial-frequency dependent diffraction efficiency of holograms reconstructed with the phase-only
LCOS spatial light modulator used in our system. Finally, accelerated hologram optimization based on the
iterative Fourier transform algorithm is done using the graphics processing unit of a consumer graphics board.
Liquid-crystal (LC) based micro-displays can be used to modulate incoming light waves with respect to amplitude,
phase and polarization. Twisted-nematic LC displays produce a combined phase-polarization modulation so that it is
difficult to achieve pure phase modulation without amplitude modulation. We present a new phase-only modulating
LCOS (Liquid Crystal On Silicon) spatial light modulator (SLM) based on an electrically controlled birefringence
(ECB) liquid crystal mode. The device has a HDTV (1920x1080) resolution and a small pixel pitch of only 8&mgr;m (87%
fill factor) on a digital silicon back plane. The LC molecules are aligned parallel to the electrodes and an applied electric
field forces them to tilt towards the direction of the field. This leads to a pure phase modulation with a phase retardation
of 2&pgr; for wavelengths between 420 and 1064nm, with negligible polarization change (<1%) if the light is linearly
polarized parallel to the director axis of the LC molecules. The shape of the back-plane of the LCOS micro-display was
investigated using a Twyman-Green interferometer and the observed deviation from a plane surface was compensated
by addressing the inverse spatially resolved phase retardation function. The interferometer was then used to measure
wave fronts that were generated with the micro-display, representing optical elements like e.g. single lenses, lens arrays
and tilted mirrors.
The wavelength-dependent Jones matrix representation of a twisted-nematic liquid crystal (TN-LC) cell contains
four independent parameters. The absolute values of these parameters and two mutual sign relationships can
be determined from comparatively simple transmission measurements of the TN-LC cells sandwiched between
two rotatable polarizers. The physical parameters of the cell (twist angle α, director orientation ψ, birefringence
β) can be retrieved if the Jones matrix is known for more than one wavelength. We have measured the Jones
matrices of the TN-LC cells of a translucent Sony LCX-016 microdisplay for six wavelengths ranging from 488nm
to 1064nm and determined the physical parameters of the cell. We have also measured the Jones matrices for
one wavelength for a number of applied voltages. These experimental results show that it is not sufficiently exact
to calculate the Jones matrix from the known physical parameters of the cell assuming a voltage-dependent
birefringence only. We attribute the deviations from the theoretical model to edge effects which are not taken
into account. The direct experimental determination of the Jones matrix components is therefore preferable and
permits a more accurate simulation of the TN-LC microdisplay in experimental configurations involving other
polarization-dependent optical components.
With this paper we present a new developed phase-only LCOS (Liquid Crystal On Silicon) spatial light modulator (SLM) based on an electrically controlled birefringence (ECB) liquid crystal mode for dynamic diffractive optics applications, optical tweezing, wave front control, digital holography and beam/pulse shaping.
This device is the first phase-only SLM showing HDTV resolution and a small pixel pitch of only 8&mgr;m (87% fill factor) on a digital silicon back plane. Here the LC molecules are aligned parallel to the electrodes and an applied electric field forces them to tilt in the direction of the field. In this way, the refractive index seen by the light is changed for one polarization direction. This leads to a pure phase modulation without any polarization change (<1%) if the incident light is polarized linearly parallel to the director axis of the LC molecules.
We have investigated two versions of this new SLM. One version is optimized for the visible wavelength region (420-800nm) and the other one is designed for 2&pgr; phase retardation up to 1064nm. We will discuss the optical modulation and show measurements on reflectivity, diffraction efficiency as well as measurements of the surface quality (flatness).
With user software one is able to adapt the electro-optical response of the system to different wavelengths and applications. Furthermore, we discuss the optical effect of different sequence encoding for the phase modulation properties.
Liquid crystal panels, originally designed and fabricated for projection systems, are used as spatial light modulator in
optical correlators or in fringe projection systems. An adapted driver electronics and measurements of the phase
modulation behavior can lead to a dynamical phase modulating system with an almost linear modulation and a
maximum phase shift of 2π. We built up a system with a LCD based spatial light modulator in order to realize the
optical the reconstruction of digital holograms. Hologram reconstructions and the use of holographic interferograms for
deformation detection are presented and future developments and applications are discussed.
Adressable spatial light modulators with as much as possible ideal phase modulation are the precondition for their application in digital holography. An adapted driver electronics for the modulator
and a correct knowledge of the modulation behavior can lead to a dynamic phase modulating device with nearly linear characteristic curve and a maximum phase range of 2π. We show a system for recording and reconstruction of digital holograms applying a spatial light modulator for the optical reconstruction and the digital processing of the holograms. The data of a CCD-camera are taken to a PC and sent to a spatial light modulator. In that sense we realised an
analog-digital converter for recording and a digital-analog converter for the optical hologram reconstruction. We discuss the resolution of the reconstruction and their applications, especially possibilities for the manipulation with the reconstructed wave field.
KEYWORDS: Fabry–Perot interferometers, Semiconductor lasers, High power lasers, Mirrors, Spectroscopy, Space operations, Optical communications, Prisms, Diodes, Solid state lasers
Using an extra-cavity consisting of an etalon and a mirror, dual-wavelength operation of a high-power broad-area multi-stripe diode laser is achieved. The reflection of the etalon acts as the output of the whole system. The free-running bandwidth of the laser diode is about 2.0 nm. At dual-wavelength operation, the bandwidth of each wavelength component is narrowed to about 0.07 nm, and the space is 1 .65 nm, the same as the FSR of the etalon. We obtain an available dual-wavelength output power of 2.0 W at the drive current of 6.5 A. The power ratio of the components at two different wavelengths can be changed by changing the temperature of the diode laser. To tune the wavelength of the dual-wavelength output, one can changing the temperature of the laser diode and the tilt angle of the etalon simultaneously.
A broad area laser diode (BAL) external cavity is experimentally investigated and analyzed using ray transfer matrices. In the experiment, a grating that is placed at the image plane of the output facet of the BAL is used as an external cavity mirror for the slow axis and as a wavelength selective component for the fast axis at the same time. By tilting the grating with respect to the slow and the fast axis direction, respectively, the number of transverse modes oscillating in the cavity can be limited and the spectral line width of the laser diode can be reduced. With this setup, a laser beam with an improved beam quality, an output power of 230 mW and a spectral line width of 0.6 nm (300 GHz) is obtained when operating the BAL at 2.7 times the threshold drive current. We have also investigated a different cavity configuration to achieve alignment insensitivity and stable operation in which the grating was replaced by a flat HR mirror. With a similar beam quality, at the same operation current of the BAL a laser beam with a power of 320 mW and a spectral line width of 1.5 nm (750 GHz) is obtained with this setup.
A diode laser array consisting of three initially uncoupled stripes is injection-locked by a 50 mW single-mode frequency tunable diode laser. Phase-conjugation is achieved by pumping a photorefractive crystal by the beams emitted from the master oscillator and the slave laser array. The injected beam is phase-conjugated with respect to the beam emitted by the slave diode laser array. The pumping beam from the slave laser is spatially filtered by a slit in the far field in the slow axis using a collimating lens. The slit consists of two mirrors, which act also as the output couplers.
A method for the design of diffractive beam-shaping elements is presented which extends the finite-element-meshes method proposed by Dresel et al. In particular, the modified method can be applied to non-uniform intensity distributions in the input and output planes. This extension is of practical significance due to the non-uniformity of real laser beam intensity distributions. The method is shown to result in so-called smooth phase functions which are desired for beam- shaping applications to overcome the well-known speckle problem. Transmission functions of diffractive phase-only elements have been computed solving beam-shaping problems of practical relevance. We have demonstrated by numerical simulation experiments that the computed elements perform the desired beam-shaping operations in good approximation.
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