Abstract: Methods and apparatus are disclosed for determining a characteristic of a structure. In one arrangement, the structure is illuminated with first illumination radiation to generate first scattered radiation. A first interference pattern is formed by interference between a portion of the first scattered radiation reaching a sensor and first reference radiation. The structure is also illuminated with second illumination radiation from a different direction. A second interference pattern is formed using second reference radiation. The first and second interference patterns are used to determine the characteristic of the structure. Azimuthal angles of the first and second reference radiations onto the sensor are different.

Abstract: A defect prediction method for a device manufacturing process involving production substrates processed by a lithographic apparatus, the method including training a classification model using a training set including measured or determined values of a process parameter associated with the production substrates processed by the device manufacturing process and an indication regarding existence of defects associated with the production substrates processed in the device manufacturing process under the values of the process parameter, and producing an output from the classification model that indicates a prediction of a defect for a substrate.

Abstract: Disclosed is a method of, and associated apparatus for, determining an edge position relating to an edge of a feature comprised within an image, such as a scanning electron microscope image, which comprises noise. The method comprises determining a reference signal from said image; and determining said edge position with respect to said reference signal. The reference signal may be determined from the image by applying a 1-dimensional low-pass filter to the image in a direction parallel to an initial contour estimating the edge position.

Abstract: The invention relates to a motor (LD) comprising: a stationary part (STP), comprising: a row of coil assemblies (UCA,LCA), the coil assemblies having multiple phases, a movable part (MP), comprising: a row of permanent magnets (UPM,LPM), wherein the row of coil assemblies has a first length and the row of permanent magnets has a second length, wherein the second length is smaller than the first length, wherein the coil assemblies are arranged to interact with permanent magnets aligned with the coil assemblies to generate a driving force, a comparator to compare a position measurement signal representative for an actual position of the movable part with a set-point signal representative for a desired position of the movable part to provide an error signal; a motion feedback controller configured to provide a control signal on the basis of the error signal; at least one current amplifier configured to provide an actuation signal to the coil assemblies on the basis of the control signal, wherein the motor compri

Abstract: A method to improve a lithographic process of imaging a portion of a design layout onto a substrate using a lithographic apparatus, the method including computing a multi-variable cost function. The multi-variable cost function represents an interlayer characteristic, the interlayer characteristic being a function of a plurality of design variables that represent one or more characteristics of the lithographic process. The method further includes reconfiguring one or more of the characteristics of the lithographic process by adjusting one or more of the design variables and computing the multi-variable cost function with the adjusted one or more design variables, until a certain termination condition is satisfied.

Abstract: A beam-splitting apparatus arranged to receive an input radiation beam and split the input radiation beam into a plurality of output radiation beams. The beam-splitting apparatus comprising a plurality of reflective diffraction gratings arranged to receive a radiation beam and configured to form a diffraction pattern comprising a plurality of diffraction orders, at least some of the reflective diffraction gratings being arranged to receive a 0th diffraction order formed at another of the reflective diffraction gratings. The reflective diffraction gratings are arranged such that the optical path of each output radiation beam includes no more than one instance of a diffraction order which is not a 0th diffraction order.

Abstract: A sensor apparatus (300) for determining a position of a target (330) of a substrate (W) comprising, projection optics (315;321) configured to project a radiation beam (310) onto the substrate, collection optics (321) configured to collect measurement radiation (325) that has scattered from the target, a wavefront sensing system (335) configured to determine a pupil function variation of at least a portion (355) of the measurement radiation and output a signal (340) indicative thereof, and a measurement system (350) configured to receive the signal and to determine the position of the target in at least partial dependence on the collected measurement radiation and the determined pupil function variation of at least a portion of the measurement radiation.

Abstract: A method for estimating a parameter across a region on a substrate, the region being divided into a plurality of sub-regions, the method including: obtaining values of the parameter for at least two sub-regions out of the plurality of sub-regions; and estimating the parameter for a position on the region by evaluation of a function having said values of the parameter as input values, wherein the function: a) has piecewise defined base functions, wherein a single base function is defined across a sub-region; and b) is continuous between one or more adjacent sub-regions of the at least two sub-regions within the region.

Abstract: An apparatus including: a first gripping member having a first magnetic element and moveable between a first position and a second position; a first biasing member configured to bias the first gripping member toward the first position; and a second magnetic element selectively operable in a first mode, in which the second magnetic element interacts with the first magnetic element to overcome the first biasing member and move the first gripping member to the second position, and a second mode, in which the second magnetic element does not overcome the first biasing member such that the first gripping member rests in the first position.

Abstract: In order to improve the throughput performance and/or economy of a measurement apparatus, the present disclosure provides a metrology apparatus including: a first measuring apparatus; a second measuring apparatus; a first substrate stage configured to hold a first substrate and/or a second substrate; a second substrate stage configured to hold the first substrate and/or the second substrate; a first substrate handler configured to handle the first substrate and/or the second substrate; and a second substrate handler configured to handle the first substrate and/or the second substrate, wherein the first substrate is loaded from a first, second or third FOUP, wherein the second substrate is loaded from the first, second or third FOUP, wherein the first measuring apparatus is an alignment measuring apparatus, and wherein the second measuring apparatus is a level sensor, a film thickness measuring apparatus or a spectral reflectance measuring apparatus.

Abstract: A method for optimizing a sequence of processes for manufacturing of product units, includes: associating measurement results of performance parameters (e.g., fingerprints) with the recorded process characteristics (e.g., context); obtaining a characteristic (e.g., context) of a previous process (e.g. deposition) in the sequence already performed on a product unit; obtaining a characteristic (e.g., context) of a subsequent process (e.g., exposure) in the sequence to be performed on the product unit; determining a predicted performance parameter (e.g., fingerprint) of the product unit associated with the sequence of previous and subsequent processes by using the obtained characteristics to retrieve measurement results of the performance parameters (e.g., fingerprints) corresponding to the recorded characteristics; and determining corrections to be applied to future processes (e.g. exposure, etch) in the sequence to be performed on the product unit, based on the determined predicted performance parameter.

Abstract: Method of determining a photodetector contribution to a measurement of apodization of a projection system of an immersion lithography apparatus, the method comprising providing a beam of radiation, illuminating an object with the beam of radiation, using the projection system to project an image of the object through a liquid layer and onto a photodetector, performing a first set of measurements of radiation intensity across a pupil plane of the projection system at a first liquid layer thickness, performing a second set of measurements of radiation intensity across the pupil plane of the projection system at a different liquid layer thickness, determining a set of intensity differences from the first set of measurements and the second set of measurements, comparing the determined set of intensity differences to an expected set of intensity difference, and using the results of the comparison to determine the photodetector contribution to a measurement of apodization.

Abstract: A method including evaluating a plurality of substrate measurement recipes for measurement of a metrology target processed using a patterning process, against stack sensitivity and overlay sensitivity, and selecting one or more substrate measurement recipes from the plurality of substrate measurement recipes that have a value of the stack sensitivity that meets or crosses a threshold and that have a value of the overlay sensitivity within a certain finite range from a maximum or minimum value of the overlay sensitivity.

Abstract: A multi-beam apparatus for observing a sample with high resolution and high throughput is proposed. In the apparatus, a source-conversion unit changes a single electron source into a virtual multi-source array, a primary projection imaging system projects the array to form plural probe spots on the sample, and a condenser lens adjusts the currents of the plural probe spots. In the source-conversion unit, the image-forming means is on the upstream of the beamlet-limit means, and thereby generating less scattered electrons. The image-forming means not only forms the virtual multi-source array, but also compensates the off-axis aberrations of the plurality of probe spots.

Abstract: The invention provides a substrate support for supporting a substrate, comprising: a support body, which support body comprises a support surface for supporting the substrate, a rotary dither device, which is configured to induce a relative rotary dither motion between the substrate and the support surface of the support body around a rotation axis which is perpendicular to the support surface.

Abstract: An optical fiber, an apparatus for receiving input radiation and broadening a frequency range, a radiation source, a metrology arrangement and a lithographic apparatus are provided. The optical fiber comprises a hollow core, a cladding portion and a support portion. The cladding portion surrounds the hollow core and comprises a plurality of anti-resonance elements for guiding radiation through the hollow core. The support portion surrounds and supports the cladding portion and comprises an inner support portion, an outer support portion and a deformable connecting portion that connects the inner support portion to the outer support portion.

Abstract: A technique to generate predicted data for control or monitoring of a production process to improve a parameter of interest. Context data associated with operation of the production process is obtained. Metrology/testing is performed on the product of the production process, thereby obtaining performance data. A context-to-performance model is provided to generate predicted performance data based on labeling of the context data with performance data. This is an instance of semi-supervised learning. The context-to-performance model may include the learner that performs semi-supervised labeling. The context-to-performance model is modified using prediction information related to quality of the context data and/or performance data. Prediction information may include relevance information relating to relevance of the obtained context data and/or obtained performance data to the parameter of interest.

Abstract: The invention relates to an exposure apparatus and a method for projecting a charged particle beam onto a target. The exposure apparatus comprises a charged particle optical arrangement comprising a charged particle source for generating a charged particle beam and a charged particle blocking element and/or a current limiting element for blocking at least a part of a charged particle beam from a charged particle source. The charged particle blocking element and the current limiting element comprise a substantially flat substrate provided with an absorbing layer comprising Boron, Carbon or Beryllium. The substrate further preferably comprises one or more apertures for transmitting charged particles. The absorbing layer is arranged spaced apart from the at least one aperture.

Abstract: A method of determining overlay of a patterning process, the method including: obtaining a detected representation of radiation redirected by one or more physical instances of a unit cell, wherein the unit cell has geometric symmetry at a nominal value of overlay and wherein the detected representation of the radiation was obtained by illuminating a substrate with a radiation beam such that a beam spot on the substrate was filled with the one or more physical instances of the unit cell; and determining, from optical characteristic values from the detected radiation representation, a value of a first overlay for the unit cell separately from a second overlay for the unit cell that is also obtainable from the same optical characteristic values, wherein the first overlay is in a different direction than the second overlay or between a different combination of parts of the unit cell than the second overlay.

Abstract: A method of determining a parameter of a patterning process, the method including: obtaining a detected representation of radiation redirected by a structure having geometric symmetry at a nominal physical configuration, wherein the detected representation of the radiation was obtained by illuminating a substrate with a radiation beam such that a beam spot on the substrate was filled with the structure; and determining, by a hardware computer system, a value of the patterning process parameter based on optical characteristic values from an asymmetric optical characteristic distribution portion of the detected radiation representation with higher weight than another portion of the detected radiation representation, the asymmetric optical characteristic distribution arising from a different physical configuration of the structure than the nominal physical configuration.