Abstract: Hybrid systems capable of performing both civilian and military GPS functions with hardware-enforced separation of data boundaries are disclosed. A hybrid system may include a first position data processor configured to generate a first set of position data based on signals received from a satellite navigation system and signals received from a digital antenna. The hybrid system may also include a second position data processor configured to generate a second set of position data based on signals received from the satellite navigation system and signals received from the digital antenna. The hybrid system may further provide a communication interface established between the first position data processor and the second position data processor.

Abstract: A stand-alone radio frequency (RF) hardware component comprises first and second antennas, a digitizer, a serializer, and a serial output. The first antenna receives, over-the-air, a first analog Global Navigation Satellite System (GNSS) signal in a first frequency band. The second antenna receives, over-the-air, at least a second analog GNSS signal in a second frequency band, wherein the first frequency band and the second frequency band are separate and distinct. The digitizer digitizes the first analog GNSS signal into a first digitalized GNSS signal and digitizes the second analog GNSS signal into a second digitized GNSS signal. The serializer serializes the digitized GNSS signals into a serialized output signal. A wireless transmitter for wirelessly transmitting the digitized GNSS signals, as the serialized output signal, from the radio frequency hardware component to a separate communication device.

Abstract: A street lighting fixture and street lamp used in street lighting containing an accelerometer that is used to detect and characterize acceleration events on a street lighting fixture. The accelerometer readings may be combined with GPS technology to determine a relocation of the street lighting fixture.

Abstract: There are provided a radiation detector capable of detecting radiation without occurrence of dead time while maintaining an exposure state in which radiation enters continuously, and an X-ray analysis apparatus and a radiation detection method using the radiation detector. A radiation detector 100 that detects radiation in synchronization with an external apparatus 200, includes: a sensor 110 that generates pulses when radiation particles are detected; a plurality of counters 140a, 140b provided so as to be able to count the pulses; and a control circuit 160 configured to switch a counter to count the pulses among the plurality of counters 140a, 140b, when receiving a synchronization signal from the external apparatus 200.

Abstract: According to an embodiment, a signal processor includes an integrator, a differentiator, a zero cross detector, a pile-up detector, an event interval detector, a counter, and a creator. The integrator is configured to calculate charge of current from a photoelectric converter for an incident radiation. The differentiator is configured to calculate a differential value of the current. The zero cross detector is configured to detect a zero cross of the differential value. The pile-up detector is configured to detect pile-up of the current based on the zero cross. The event interval detector is configured to detect, based on the zero cross and pile-up, an event interval of the radiation entering. The counter is configured to count, based on the charge and pile-up, the respective numbers of events according to the charge and the event interval. The creator is configured to create histograms for the numbers of events.

Abstract: System includes a signal processing system to receive a digital signal associated with first scintillation events and to determine a value associated with each of the events, a backend processing system to receive the values, determine an event rate based on the received values, determine whether the event rate is greater than a first threshold, and, if the event rate is greater, transmit a first instruction to increase a consecutive event dump level, and an event management control to receive the first instruction to increase the consecutive event dump level, increase the consecutive event dump level in response to the received instruction, determine a number of consecutive scintillation events of detected second scintillation events, determine to dump the consecutive scintillation events based on a comparison between the number of consecutive scintillation events and the consecutive event dump level, and transmit a second instruction to dump the consecutive scintillation events.

Abstract: An X-ray detector includes an arrangement of detector elements and an evaluation logic of the arrangement of detector elements. The evaluation logic includes a multi-level first multiplexer. A plurality of detector elements are assigned to a first group and each detector element of the first group is assigned to an input of a first level of the multi-level first multiplexer. The respective total number of the inputs of the levels of the multi-level first multiplexer is greater than the total number of outputs of the levels of the multi-level first multiplexer. A serial output is assigned to an output of a last level of the multi-level first multiplexer.

Abstract: A SiPM readout circuit includes a front-end circuit having amplifiers coupled to SiPM analog outputs, pixel readout channels coupled to amplifiers provide a timing signal representing gamma ray photon detection in individual SiPM, a block timing channel that creates a summed signal from all SiPMs, and generates a block timing signal and a validation signal, an energy channel that generates a summed energy signal and a two-dimensional position of the gamma ray photon detection in the block, and a control logic/processing circuit that performs a time stamp estimation method. Methods of determining the radiation event timing and a non-transitory computer-readable medium containing computer-readable instructions to implement the methods are disclosed.

Abstract: A sensor chip, in particular for computerized tomography detectors, including an analog-digital converter electrically connected to an element detecting radiation. A problem addressed is that of defining a sensor chip which is as cost-efficient and reliable as possible. According to an embodiment of the invention, only one single crystalline base plate is used, on which all required components of the sensor chip are applied. A through-contact between the conductor paths or the contacts of both sides of the base plate is used as applicable in order to connect the components of both sides to each other.

Abstract: A radiation detector includes: a first scintillator including a first end surface and a second end surface; a second scintillator including a first end surface and a second end surface; a first photodetector detects light emitted from the first end surface of each of the first and second scintillators; a second photodetector c detects light emitted from the second end surface of each of the first and second scintillators; and a position specifying unit configured to specify each radiation incident position on which each radiation has been incident in each of the first and second scintillators, wherein an area of the first end surface of the first scintillator is smaller than an area of the second end surface of the first scintillator, and an area of the first end surface of the second scintillator is larger than an area of the second end surface of the second scintillator.

Abstract: A microelectromechanical system (MEMS) accelerometer having separate sense and force-feedback electrodes is disclosed. The use of separate electrodes may in some embodiments increase the dynamic range of such devices. Other possible advantages include, for example, better sensitivity, better noise suppression, and better signal-to-noise ratio. In one embodiment, the accelerometer includes three silicon wafers, fabricated with sensing electrodes forming capacitors in a fully differential capacitive architecture, and with separate force feedback electrodes forming capacitors for force feedback. These electrodes may be isolated on a layer of silicon dioxide. In some embodiments, the accelerometer also includes silicon dioxide layers, piezoelectric structures, getter layers, bonding pads, bonding spacers, and force feedback electrodes, which may apply a restoring force to the proof mass region. MEMS accelerometers with force-feedback electrodes may be used in geophysical surveys, e.g.

Abstract: A method, an apparatus and a computer-readable medium for processing seismic data are provided. The method includes selecting well-imaged areas of a sediment-to-salt interface, and performing (1) a dual-flood RTM with prismatic waves to identify new areas of the sediment-to-salt interface, and (2) one or more RTM to identify other new areas of the sediment-to-salt interface or of a salt-to-sediment interface.

Abstract: The present invention relates generally to microseismic event analysis, and more particularly to a method and apparatus for modeling microseismic event location estimate accuracy. According to certain aspects, the present invention provides a framework for analytically studying microseismic source location estimation accuracy and further provides new geometric intuitions and quantitative relationships that aid in the understanding of this problem. These intuitions and expressions can be shown to be in agreement with current observations in the state of the art.

Abstract: A method of modeling an aquatic environment or locating an acoustic source in the aquatic environment. A range-dependent medium is approximated in terms of a series of range-independent regions and obtaining single-scattering solutions across the vertical interfaces between regions. One or more acoustic waves are propagated from a known acoustic source through the range-dependent medium to one or more known seismoacoustic receivers to model iteratively the various solid and liquid layers of the range-dependent medium. Alternatively, one or more acoustic waves are reverse-propagated from one or more known seismoacoustic receivers through the range-dependent medium to determine whether an acoustic source is present within a user-defined range.

Abstract: Seismic data are obtained by recording simultaneously in seismic streamer, acquired by activating approximately simultaneously two or more seismic sources towed at two positions in the vicinity of seismic streamers. A residual is updated iteratively for an inversion solution for the activations of the two or more seismic sources. The iterative updating of the residuals utilizes a sequence of overlapping temporal windows containing reflection events and utilizes normal moveout corrections based on largest reflection events in each temporal window. A final updated residual is added to a final updated model result.

Abstract: Method and system for generating a full acquisition path for a marine seismic acquisition system. The method includes receiving survey area information about a survey area to be seismically surveyed; selecting a radius (R) and a length (L) of a lace; selecting an overlap distance (OL) between first and second lanes; generating the full acquisition path by repeating the lace along a first lead line inside the first lane and along a second lead line inside the second lane and replicating the first and second lanes until the entire survey area is covered with laces; and sending the full acquisition path to a streamer vessel for performing the seismic survey.

Abstract: Sonic data, ultrasonic data, and density data of the annulus are obtained using a sonic tool, an ultrasonic tool, and a density tool, respectively, included in a tool string. A first deconvolution operation is performed to obtain an amplitude, a frequency, and a phase of the modified sonic wave. A first inverse modeling operation results in a first density value of the annular media. A second deconvolution operation is performed to obtain an amplitude, a frequency, and a phase of the modified ultrasonic wave. A second inverse modeling operation results in a second density value of the annular media. A third deconvolution operation is performed to obtain far counts, near counts, and an energy spectrum of gamma rays. A third inverse modeling operation results in a third density value of the annular media.

Abstract: In accordance with some embodiments of the present disclosure, a method of vibration control for a wellbore logging tool is disclosed. The wellbore logging tool includes an acoustic transmitter. The method may include providing a braking signal to the acoustic transmitter. The braking signal may be based, at least in part, on at least one prior vibration in the acoustic transmitter. The method may include determining a present vibration in the acoustic transmitter after the braking signal has been provided to the acoustic transmitter. The method may include determining whether to update the braking signal and, if so, updating the braking signal based, at least in part, on the present vibration in the acoustic transmitter.

Abstract: Man-portable locator systems for locating buried or otherwise inaccessible pipes, conduits, cables, wires and inserted transmitters using detector arrays and stochastic signal processing and similar techniques to analyze and display multiple target objects at differing frequencies in a layered user interface (UI) are disclosed.

Abstract: Embodiments set forth in this disclosure providing techniques for determining formation parameters, such as horizontal resistivity (Rh), vertical resistivity (Rv), and dip, in high angle and horizontal wells using non-directional resistivity measurements. For example, a method is provided that may include using an electromagnetic logging tool to acquire non-directional resistivity measurements in a wellbore of a high angle or horizontal well. The method may also include defining a processing window that corresponds to a measurement point of the electromagnetic logging tool along a well trajectory that intersects a at least one bed boundary between two layers of a subsurface formation. The method may also include defining a formation structure and defining an initial set of formation parameters for each layer in the formation structure. Furthermore, the method may include inverting the formation parameters for each layer.

Abstract: A light curtain component comprising a housing which extends essentially along a longitudinal direction, and having a plurality of optoelectronic emission or reception elements which are arranged in the housing and are oriented toward an upper side of the housing, and which are separated from one another along the longitudinal direction. The housing comprises, on a front side, a first planar front surface which is arranged at an angle (?) of less than 90°, preferably equal to 45°, with respect to the longitudinal direction. This first planar front surface allows joining two such light curtain components flush with one another in a corner, without undesired formation of dead or blind zones taking place.

Abstract: A system for recording metadata is disclosed. The system includes an acoustic vibration sensing system. The system also includes one or more sensors operable to measure characteristic parameters. The sensors are coupled to the acoustic vibration sensing system and include one or more channels for recording metadata. The system further includes one or more optical modulators. The optical modulators modulate a signal received from the one or more sensors and direct the modulated signal to the acoustic vibration sensing system. The system further includes one or more sources of the metadata coupled to the one or more optical modulators.

Abstract: A infrastructure sensitivity centric weather forecast system, method of forecasting weather and a computer program product therefor. A forecasting computer applies a grid to a forecast area, locates infrastructure, e.g. power grid infrastructure, in the area and determines weather effects on infrastructure in each grid cell. A targeted selection module iteratively identifies grid cells for refinement in response to the weather effects on cell infrastructure. In each iteration a refined grid is applied to each grid cell identified as containing infrastructure that may be sensitive, or vulnerable, to expected weather. The forecasting computer refines the area considered to focus on area infrastructure and sensitivities/vulnerabilities to expected weather.

Abstract: Aggregating and transforming data, and performing analytics thereupon, for application-specific optimization based on multiple data sources. The data is preferably ingressed automatically, and may originate from various public and/or private data sources. Data transformation preferably aligns the data aggregated from the various sources, to thereby allow meaningful referencing. Complex and non-aligned data can therefore be consolidated, such that it is readily digestible by simulation (or other) software. In an embodiment, risk of flooding for a supply chain is computed from the aggregated and transformed data, using data analytics based on physical computation for flood risk assessment, allowing the supply chain to be optimized with regard to threat of flooding and/or actual flooding. In another embodiment, risk of wild fire may be assessed. Other types of risk may also be assessed.

Abstract: Fluorinated siloxane compositions, and methods of making and using the fluorinated siloxanes are disclosed. The polymers described herein may exhibit self-healing properties, a low dielectric constant, and a low refractive index. In some embodiments, a method of making a siloxane compound may involve contacting a silicon metal with a fluorinated compound to form a dichlorosilane compound, hydrolyzing the dichlorosilane compound to form a fluorinated tetrasiloxane compound, and contacting the fluorinated tetrasiloxane compound with a metal catalyst to form a fluorinated cyclic siloxane (D4) compound.

Abstract: Certain example embodiments relate to a layer of or including Ti1-xSixOy and/or a method of making the same. In certain example embodiments, the Ti1-xSixOy-based layer may be substoichiometric with respect to oxygen. In certain example embodiments of this invention, the layer may include Ti1-xSixOy where x is from about 0.05 to 0.95 (more preferably from about 0.1 to 0.9, and even more preferably from about 0.2 to 0.8, and possibly from about 0.5 to 0.8) and y is from about 0.2 to 2 (more preferably from about 1 to 2, and even more preferably from about 1.5 to 2, and possibly from about 1.9 to 2). The layer may have an index of refraction of from about 1.6 to 1.9. The layer may also be used with a transparent conductive oxide in a transparent conductive coating.

Abstract: An optical system includes an optical element and an imaging device. The optical element has a surface on which a plurality of sub-wavelength structure bodies are formed. The imaging device has an imaging region which senses light via the optical element. The surface of the optical element has one or two or more sections that scatter incident light and generate scattered light. A sum total of components of the scattered light reaching the imaging region is smaller than a sum total of components thereof reaching regions other than the imaging region.

Abstract: There is provided a method for making an optical element having a textured surface. The method comprises the steps of: a) providing a plurality of primary optical fiber segments, each primary fiber segment comprising one or more cores; b) bundling the primary fiber segments into an assembly with the cores of said primary fiber segments extending parallely; c) transforming the assembly into a secondary structure comprising the parallely extending cores; and d) etching a surface of the secondary structure according to an etch profile of said secondary structure, the etch profile being defined by the parallely extending cores, thereby forming the textured surface of the optical element. An optical element having a textured surface is also provided.

Abstract: The present invention relates to an acryl-based film that includes a first primer layer including a water-dispersible polyurethane resin formed on one surface, and a second primer layer including at least one or more types of a water-dispersible polyester-based resin, a water-dispersible acryl-based resin and a water-dispersible polyester acryl-based resin formed on the opposite surface, and a polarizing plate including the same.

Abstract: The present invention provides a transparent film with an excellent anti-fog property. The transparent film of the present invention includes: a base film provided on a surface with projections formed at a pitch equal to or shorter than the wavelength of visible light; and hydrophilic fine particles each having a particle size in the range of 15% to 50% of the pitch of the projections, the hydrophilic fine particles being held in gaps between the projections while being in contact with the projections, the hydrophilic fine particles held in the gaps between the projections being separated by spaces from bottoms of the gaps, the spaces forming channels on the surface.

Abstract: A lens system includes a first lens array assembly including a first plurality of cells, each cell of the first plurality of cells configured to exhibit a pair of first Fourier transform lenses, and a second lens array assembly including a second plurality of cells, each cell of the second plurality of cells configured to exhibit a pair of second Fourier transform lenses. The first Fourier transform lenses have a first pitch. The second Fourier transform lenses have a second pitch differing from the first pitch. The first and second lens array assemblies are positioned relative to one another along an optical axis of the lens system such that a Fourier transform of light from an object is developed at a plane between the first and second lens array assemblies and an image of the object is provided at an image conjugate distance from the second lens array assembly.

Abstract: Various embodiments may relate to a process for producing a scattering layer for electromagnetic radiation. The process may include applying scattering centers onto a carrier, applying glass onto the scattering centers, and liquefying of the glass so that a part of the liquefied glass flows between the scattering centers toward the surface of the carrier, in such a way that a part of the liquefied glass still remains above the scattering centers.

Abstract: A light diffusion film in which the angle of aperture of diffused light has been expanded effectively by forming, within the film, a predetermined columnar structure composed of pillar-shaped objects having a bent part and a region having a relatively low refractive index, and a method for manufacturing the light diffusion film are provided. Disclosed is a light diffusion film having a columnar structure in which plural pillar-shaped objects having a relatively high refractive index are arranged to stand close together in the film thickness direction in a region having a relatively low refractive index, and the plural pillar-shaped objects having a relatively high refractive index have a bent part in the middle of the pillar-shaped objects.

Abstract: Provided are a light scattering sheet, an electronic device comprising the same, and a method of manufacturing the same.

Abstract: The optical unit includes an objective optical system and a splitting element. The splitting element consists of a first right-angle prism, a second right-angle prism, and a third right-angle prism, and has a surface of incidence and an optical splitting surface. The surface of incidence is provided to the first right-angle prism, and the first right-angle prism is positioned such that the surface of incidence is orthogonal to an optical axis of the objective optical system. The optical splitting surface is provided to a boundary of the second right-angle prism and the third right-angle prism. The second right-angle prism has a first optical path and the third right-angle prism has a second optical path. A first optical image and a second optical image are both formed on the same plane, and an area of the first optical image and an area of the second optical image are separated spatially.

Abstract: A technique is provided which enables preparation of a curved grating having a desired curvature, by plastically deforming, along a curved substrate, a flat grating prepared by a semiconductor process on a silicon substrate, and which thus prepares a diffraction grating with high accuracy. A silicon flat grating prepared by a semiconductor process is transferred to an amorphous material, and the amorphous material substrate is curved and mounted on a curved fixed substrate, thus providing a curved grating having a crystalline material in which the generation of a dislocation line is restrained.

Abstract: Assemblies comprising multi-layer optical film comprising optical layers reflecting incident UV and blue light over specified wavelength ranges. Embodiments of the multi-layer optical films are useful, for example, as a UV protective covering. An exemplary UV stable assembly comprises a multi-layer optical film comprising at least a first plurality of first and second optical layers reflecting at least 50 percent of incident UV light over at least a 30 nanometer wavelength range in a wavelength range from at least 300 nanometers to 400 nanometers, and a second plurality of first and second optical layers reflecting at least 50 percent of incident light over at least 30 nanometer wavelength in a wavelength range from at least 430 nanometers to 500 nanometers.

Abstract: An optical filter having a passband at least partially overlapping with a wavelength range of 800 nm to 1100 nm is provided. The optical filter includes a filter stack formed of hydrogenated silicon layers and lower-refractive index layers stacked in alternation. The hydrogenated silicon layers each have a refractive index of greater than 3 over the wavelength range of 800 nm to 1100 nm and an extinction coefficient of less than 0.0005 over the wavelength range of 800 nm to 1100 nm.

Abstract: A mirror assembly comprising a carrier substrate; a stack comprising a plurality of alternating monocrystalline semiconductor layers of a first and a second type, wherein the layers of the first type have an index of refraction higher than the layers of the second type thereby forming a Bragg mirror; wherein the carrier substrate is curved having a radius of curvature between 0.1 m and 10 km; wherein the stack is attached to the curved carrier substrate.

Abstract: An intermediate image is formed inside a light guide member by a projection lens or the like, whereby a small optical system having a wide viewing angle and high performance is provided. At least one curved surface among curved surfaces forming an optical system is an opposite-sign curvature curved surface having an opposite-sign curvature point different in curvature depending on direction, whereby the optical system is placed in a satisfactory aberration correction state.

Abstract: Optical systems including an image surface, a stop surface, a partial reflector disposed between the image surface and the stop surface, a reflective polarizer disposed between the stop surface and the partial reflector, and a quarter wave retarder disposed between the reflective polarizer and the partial reflector are described. The reflective polarizer is convex along two orthogonal axes. The reflective polarizer may be a thermoformed multilayer reflective polarizer.

Abstract: Optical systems including first and second optical stacks and adapted to provide an adjustable dioptric correction are described. The first optical stack includes a first optical lens and a partial reflector. The second optical stack is convex along orthogonal first and second axes and includes a second optical lens and a reflective polarizer. The reflective polarizer has at least one first location having a radial distance r1 from an optical axis of the second optical stack and a displacement s1 from a plane perpendicular to the optical axis at an apex of the reflective polarizer, where s1/r1 is at least 0.1. A quarter wave retarder is disposed between the second optical stack and the first optical stack.

Abstract: A display device and display system. Each pixel cell group of the display comprises at least one first line of pixel cells for displaying information to be viewed by a dedicated spectacle wearer, a second line of pixel cells for displaying compensation information, and a third line of pixel cells for displaying naked-eye pattern information. The light adjustment mechanism allows for a difference between phase retardations experienced by the light emitted by the first line of pixel cells and by the third line of pixel cells upon passing through the light adjustment mechanism. With the display device, the viewer wearing dedicated spectacles and the naked-eye viewer are allowed to see different information, thereby improving the confidentiality of the display device in peep preventive displaying.

Abstract: A phase difference element has a transparent substrate and a birefringent film with tantalum oxide and titanium oxide obliquely deposited on one surface of the transparent substrate. The birefringent film has a first photorefractive film and a second photorefractive film laminated to each other and having different oblique deposition directions. The ratio of titanium atoms to the total of titanium atoms and tantalum atoms in the birefringent film is 4.0 atomic % or higher to 30 atomic % or lower.

Abstract: An electrical device includes a circuit board (101), a light source (104), and a light guide (105). The light guide receives light from the light source and conducts the received light to an end of the light guide so that the light crosses, in a direction parallel with the circuit board, an edge of the circuit board. The end of the light guide constitutes a display surface for showing the light to a user. On a fringe area extending from the edge of the circuit board a distance (D) towards the opposite edge of the circuit board, the light guide is between geometrical planes parallel and coinciding with surfaces of the circuit board. Hence, the light guide does not require room in directions perpendicular to the circuit board. Therefore, for example, more connectors, key buttons, and/or other instruments can be placed on a control panel of the electrical device.

Abstract: A light guiding structure includes a resilient base and a plurality of light guiding columns. A plurality of through holes is separately formed on the resilient base. The plurality of light guiding columns resiliently engages with the plurality of through holes. Each of a plurality of light emitting components is disposed on an end of each of the plurality of the light guiding columns. The light guiding structure utilizes the plurality of light guiding columns for guiding the light transmitted from the plurality of light emitting components and further utilizes the resilient base for allowing the light transmitted from one of the plurality of light emitting components to pass through the corresponding light guiding column only. Therefore, the light transmitted from the plurality of light emitting components can be guided to a correct position, which effectively reduces human misjudgment.

Abstract: A lighting system is disclosed. The lighting system comprises at least one light source comprising a light emitting diode (LED) and one or more phosphors optically coupled to the LED to convert at least a portion of original light emitted by the LED to provide a modified LED light having a first predetermined spectral output, and an optical material that is optically coupled to at least a portion of a surface of a light guide plate and optically coupled to receive at least a portion of the modified LED light and to convert at least a portion of the modified LED light to at least one predetermined wavelength to provide modified light having a second predetermined spectral output, wherein the optical material comprises one or more types of quantum confined semiconductor nanoparticle. A device including a lighting system is also disclosed.

Abstract: A liquid crystal display device, includes a display panel; a light guide plate to transfer light to the display panel; and a light source module on a side surface of the light guide plate to supply light to the light guide plate, the light source module including a light source to generate light; and a quantum dot unit between the light source and the light guide plate, the quantum dot unit extending along the side surface of the light guide plate and including a tube member filled with a resin including quantum dots, the tube member including a sealing part.

Abstract: A backlight unit (10) and a display device are provided. The backlight unit (10) comprises a light guide plate (101), and a light source (102), a first reflective film (101), and a second reflective film (104). The light source (102) includes a plurality of LEDs (1021) uniformly arranged. The first reflective film (103) is disposed correspondingly on a backlight side of a region opposite to each of the LEDs on the light guide plate (101); The second reflective film (104) includes at least one first sub-reflective film (1041), the first sub-reflective film (1041) being disposed correspondingly on a backlight side of a region opposite to a gap between two adjacent LEDs on the light guide plate (101).

Abstract: A light guide includes opposed major surfaces and a light input edge extending therebetween. An array of micro-optical elements of well-defined shape at at least one of the opposed major surfaces corresponds to the light input edge. Each of the micro-optical elements in the array includes a longitudinal axis arranged within the range of angles relative to the light input edge. A path linearly extending along the light guide from the light input edge intersects at least a portion of the micro-optical elements in the array, at least one of the micro-optical elements along the path arranged with its longitudinal axis at a positive angle relative to the light input edge, and at least another one of the micro-optical elements along the path arranged with its longitudinal axis at a negative angle relative to the light input edge.