Abstract: A method for positioning a substage (9), supported by a main stage (5), relative to a reference object, the substage moveable in a direction (7) between a first and second position relative to the main stage. The method includes positioning the first stage using a passive force system that is activated by positioning the main stage. The passive force system includes two magnet systems (119, 121), each magnet system being configured to apply a force in the direction to the first stage with respect to the second stage in a non-contact manner, the forces resulting in a resultant force applied to the first stage in the direction by the passive force system. A magnitude and/or a direction of the resultant force depends on the position of the first stage relative to the second stage, and the first stage has a zero-force position between the first and second position in which the resultant force is zero.

Abstract: A method for determining a causal relationship between events in a plurality of parameter time series, the method including: identifying a first event associated with a parameter excursion event; identifying a second event associated with a failure event, wherein there are a plurality of events including the first events and second events; determining values of transfer entropy for pairs of the events to establish a causal relationship for each of the pairs of events; using the determined values of transfer entropy and identified causal relationships to determine a process network, wherein each of the events is a node in the process network, the edges between nodes being dependent upon the values of transfer entropy; identifying a directed cycle within the plurality of events and the causal relationships; classifying a directed cycle; and classifying one or more events having a causal relation to the classified directed cycle.

Abstract: A method for reducing apparatus performance variation. The method includes obtaining (i) a reference performance (e.g., CD) of a reference apparatus (e.g., a reference scanner), (ii) a set of initial leading degrees of freedom selected from a plurality of degrees of freedom of a plurality of pupil facet mirrors of an apparatus (e.g., to be matched scanner) that is selected to reproduce the reference performance, and (iii) exposure data related to one or more parameters (e.g., CD, overlay, focus, etc.) of the patterning process indicating a performance of the apparatus based on the set of initial leading degrees of freedom; and determining a matching pupil of the apparatus based on the set of initial leading degrees of freedom and the exposure data such that the matching pupil reduces a difference between the performance of the apparatus and the reference performance.

Abstract: Systems, methods, and programming are described for inspecting a substrate having a pattern imaged thereon, including obtaining a plurality of selected target locations on the substrate, the selected target locations dependent on characteristics of the pattern, scanning the substrate with a plurality of electron beamlets, wherein the scanning includes individually addressing the beamlets to impinge on the selected target locations independently, detecting a reflected or a transmitted portion of the beamlets, and generating images of the selected target locations.

Abstract: A method for determining a center of a radiation spot irradiated on a surface by a sensor, the sensor including a radiation source and a detector. The method includes: emitting, with the radiation source, a first emitted radiation beam onto the surface to create the radiation spot on the surface, wherein at least a part of a target arranged at the surface is irradiated by the radiation spot; receiving, with the detector, a first reflected radiation beam at least including radiation from the radiation spot reflected by the target; detecting the presence of the target based on the first reflected radiation beam; determining a first measured position of the target based on the first reflected radiation beam; and determining a center of the radiation spot as projected on the surface in at least a first direction based on the first measured position of the target.

Abstract: An immersion lithography apparatus controller configured to control a positioner to move a support table to follow an exposure route and to control a liquid confinement structure, the controller configured to: predict whether liquid will be lost from an immersion space during at least one motion of the route in which an edge of the object passes under an edge of the immersion space, and if liquid loss from the immersion space is predicted, modify the fluid flow such that a first fluid flow rate into or out of an opening at a leading edge of the liquid confinement structure is different to a second fluid flow rate into or out of an opening at a trailing edge of the liquid confinement structure during the motion of predicted liquid loss or a motion of the route subsequent to the motion of predicted liquid loss.

Abstract: Disclosed is a method of determining a complex-valued field relating to a structure, comprising: obtaining image data relating to a series of images of the structure, for which at least one measurement parameter is varied over the series and obtaining a trained network operable to map a series of images to a corresponding complex-valued field. The method comprises inputting the image data into said trained network and non-iteratively determining the complex-valued field relating to the structure as the output of the trained network. A method of training the trained network is also disclosed.

Abstract: Disclosed is a method and associated inspection apparatus for measuring a characteristic of interest relating to a structure on a substrate. The inspection apparatus uses measurement radiation comprising a plurality of wavelengths. The method comprises performing a plurality of measurement acquisitions of said structure, each measurement acquisition being performed using measurement radiation comprising a different subset of the plurality of wavelengths, to obtain a plurality of multiplexed measurement signals. The plurality of multiplexed measurement signals are subsequently de-multiplexed into signal components according to each of said plurality of wavelengths, to obtain a plurality of de-multiplexed measurement signals which are separated according to wavelength.

Abstract: A substrate holder for a lithographic apparatus has a planarization layer provided on a surface thereof. The planarization layer provides a smooth surface for the formation of an electronic component such as a thin film electronic component. The planarization layer may be provided in multiple sub layers. The planarization layer may smooth over roughness caused by removal of material from a blank to form burls on the substrate holder.

Abstract: The invention relates to a control system comprising a controller arranged to provide an output signal on the basis of an input signal. The controller comprises a linear integrator, a linear gain and a selector. The linear integrator is arranged to provide a first control signal. The linear gain is in parallel to the linear integrator and is arranged to provide a second control signal. The selector is arranged to switch between an integrator mode in which the first control signal is used as the output signal of the controller and a gain mode in which the second control signal is used as the output signal of the controller. The selector is arranged to switch to the integrator mode when the value of the second control signal passes zero, and to switch to the gain mode when: eu<kh?1u2, wherein e is the input signal of the controller, u is the output signal of the controller, and kh is the gain of the linear gain.

Abstract: A fluid handling structure for a lithographic apparatus, the structure having: an aperture for the passage therethrough of a beam; a first part; and a second part, wherein the first and/or second part define a surface for the extraction of immersion fluid, relative movement between the first and second parts is effective to change a position of fluid flow into or out of the surface relative to the aperture, and the first or second part has at least one through-hole for the fluid flow and the other of the first or second part has at least one opening for the fluid flow, the at least one through-hole and at least one opening being in fluid communication when aligned, the relative movement allowing alignment of the at least one opening with different ones of the through-hole to change the position of the fluid flow into or out of the surface.

Abstract: Disclosed is a method of determining a complex-valued field relating to a sample measured using an imaging system. The method comprises obtaining image data relating to a series of images of the sample, imaged at an image plane of the imaging system, and for which at least two different modulation functions are imposed in a Fourier plane of the imaging system; and determining the complex-valued field from the imaging data based on the imposed modulation functions.

Abstract: A method for generating modified contours and/or generating metrology gauges based on the modified contours. A method of generating metrology gauges for measuring a physical characteristic of a structure on a substrate includes obtaining (i) measured data associated with the physical characteristic of the structure printed on the substrate, and (ii) at least portion of a simulated contour of the structure, the at least a portion of the simulated contour being associated with the measured data; modifying, based on the measured data, the at least a portion of the simulated contour of the structure; and generating the metrology gauges on or adjacent to the modified at least a portion of the simulated contour, the metrology gauges being placed to measure the physical characteristic of the simulated contour of the structure.

Abstract: A method of determining a desired relative position between a first object of a lithographic apparatus and a second object of the lithographic apparatus. Generating a measurement signal representing a position of the first object relative to the second object, at an initial relative position. Determining a gradient associated with the initial relative position, based on the measurement signal. Determining a position set point based on the gradient and wherein the position set point comprises a three-dimensional dither signal. Controlling the position of the first object relative to the second object to a further relative position, based on the position set point.

Abstract: Disclosed is a wavelength selection module for a metrology apparatus. The wavelength selection module comprises one or more filter elements being operable to receive an input radiation beam comprising multiple wavelengths to provide selective control of a wavelength characteristic of a corresponding output radiation beam. At least one of said one or more filter elements comprises at least two linear variable filters.

Abstract: Disclosed is a phase modulator apparatus comprises at least a first phase modulator for modulating input radiation, and a metrology device comprising such a phase modulator apparatus. The first phase modulator comprises a first moving grating in at least an operational state for diffracting the input radiation and Doppler shifting the frequency of the diffracted radiation; and a first compensatory grating element comprising a pitch configured to compensate for wavelength dependent dispersion of at least one diffraction order of said diffracted radiation.

Abstract: Disclosed is a method of measuring a structure, and associated metrology device and computer program. The method comprises obtaining an amplitude profile of scattered radiation relating to a measurement of a first structure on a first substrate and obtaining a reference phase profile relating to a reference measurement of at least one reference structure on a reference substrate. The at least one reference structure is not the same structure as said first structure but is nominally identical in terms of at least a plurality of key parameters. The method further comprises determining a complex-valued field to describe the first structure from the amplitude profile and reference phase profile.

Abstract: Systems and methods for detecting defects are disclosed. According to certain embodiments, a method of performing image processing includes acquiring one or more images of a sample, performing first image analysis on the one or more images, identifying a plurality of first features in the one or more images, determining pattern data corresponding to the plurality of first features, selecting at least one of the plurality of first features based on the pattern data, and performing second image analysis of the at least one of the plurality of first features. Methods may also include determining defect probability of the plurality of first features based on the pattern data. Selecting the at least one of the plurality of first features may be based on the defect probability.

Abstract: Systems and methods are provided for dynamically compensating position errors of a sample. The system can comprise one or more sensing units configured to generate a signal based on a position of a sample and a controller. The controller can be configured to determine the position of the sample based on the signal and in response to the determined position, provide information associated with the determined position for control of one of a first handling unit in a first chamber, a second handling unit in a second chamber, and a beam location unit in the second chamber.

Abstract: A substrate holder, for a lithographic apparatus, having a main body, a plurality of support elements to support a substrate and a seal unit. The seal unit may include a first seal positioned outward of and surrounding the plurality of support elements. A position of a substrate contact region of an upper surface of the first seal may be arranged at a distance from the plurality of support elements sufficient enough such that during the loading/unloading of the substrate, a force applied to the first seal by the substrate is greater than a force applied to the plurality of support elements by the substrate. A profile of the contact region, in a cross section through the seal, may have a shape which is configured such that during the loading/unloading of the substrate, the substrate contacts the seal via at least two different points of the profile.