An apparatus for measuring a position of a mark on a substrate, the apparatus comprising: an illumination system configured to condition at least one radiation beam to form a plurality of illumination spots spatially distributed in series such that during scanning of the substrate the plurality of illumination spots are incident on the mark sequentially, and a projection system configured to project radiation diffracted by the mark from the substrate, the diffracted radiation being produced by diffraction of the plurality of illumination spots by the mark; wherein the projection system is further configured to modulate the diffracted radiation and project the modulated radiation onto a detecting system configured to produce signals corresponding to each of the plurality of illumination spots, the signals being combined to determine the position of the mark.

According to one embodiment, a pattern drawing method includes correcting a drawing parameter for a pattern to be drawn on a resist film on a surface of a substrate. The correction being based on drawing information, height information, and dimensional difference information. The drawing information is design data for drawing the pattern on the resist film by irradiating the resist film with an electron beam. The height information indicates changes in surface height of the substrate. The dimensional difference information includes differences between a dimension of a pattern as indicated in the design data and a dimension of a pattern formed on the substrate by processing the substrate using a resist film patterned according to the drawing information as a mask. The correction of the drawing parameter reduces a dimensional difference between design data and a pattern formed on a target portion on the surface of the substrate.

Two pairs of alignment targets (one aligned, one misaligned by a bias distance) are formed on different masks to produce a first pair of conjugated interference patterns. Other pairs of alignment targets are also formed on the masks to produce a second pair of conjugated interference patterns that are inverted the first. Misalignment of the dark and light regions of first interference patterns and the second interference patterns in both pairs of conjugated interference patterns is determined when patterns formed using the masks are overlaid. A magnification factor (of the interference pattern misalignment to the target misalignment) is calculated as a ratio of the difference of misalignment of the relatively dark and relatively light regions in the pairs of interference patterns, over twice the bias distance. The interference pattern misalignment is divided by the magnification factor to produce a self-referenced and self-calibrated target misalignment amount, which is then output.

A method for generating an alignment signal that includes detecting local dimensional distortions of an alignment mark and generating the alignment signal based on the alignment mark. The alignment signal is weighted based on the local dimensional distortions of the alignment mark. Detecting the local dimensional distortions can include irradiating the alignment mark with radiation, the alignment mark including a geometric feature, and detecting one or more phase and/or amplitude shifts in reflected radiation from the geometric feature. The one or more phase and/or amplitude shifts correspond to the local dimensional distortions of the geometric feature. A parameter of the radiation, an alignment inspection location within the geometric feature, an alignment inspection location on a layer of a structure, and/or a radiation beam trajectory across the geometric feature may be determined based on the one or more detected phase and/or amplitude shifts.

A position detector includes a detection unit configured to detect light from a first diffraction grating including a first pattern disposed in a first direction, and light from a second diffraction grating including a second pattern disposed in the first direction, and a control unit configured to obtain a relative position between the first and the second diffraction gratings based on the light detected by the detection unit. The position detector has a third pattern formed in a second direction different from the first direction at edges of the first pattern of the first diffraction grating, the third pattern has a width smaller than a width of the first pattern of the first diffraction grating.

A method of applying a measurement correction includes determining an orthogonal subspace used to characterize the measurement as a plot of data. A first axis of the orthogonal subspace corresponds to constructive interference output from an interferometer of the metrology system plus a first error variable and a second axis of the orthogonal subspace corresponds to destructive interference output from the interferometer of the metrology system plus a second error variable. The method also includes determining a slope of the plot of data and determining a fitted line to the plot of data in the orthogonal subspace based on the slope.

Provided is an interferometer system that irradiates an object to be measured with measuring light to thereby measure the position of the object to be measured. The interferometer system includes a laser light source; an interferometer configured to separate laser light emitted from an emission opening of the laser light source into the measuring light and reference light; and an optical path protecting member configured to surround an optical axis such that the laser light passes through the inside thereof and of which one opening is in contact with the emission opening.

The present invention provides an imprint apparatus comprising a deforming unit configured to deform a pattern surface by applying a force to a mold, a measuring unit configured to measure a deformation amount of the pattern surface, a control unit configured to control the measuring unit to measure the deformation amount in each of a plurality of states in which a plurality of the forces are applied to the mold, a calculation unit configured to calculate a rate of change in the deformation amount as a function of a change in the force applied to the mold, and a calibration unit configured to calibrate a control profile describing a time in the imprint process, and the force applied to the mold, based on the rate of change in the deformation amount.

An alignment system includes: a light emitting device located on one side of an object to be aligned for emitting light towards the object to be aligned; a light receiving device located on the other side of the object to be aligned and at a standard position corresponding to an alignment mark disposed on the object to be aligned, the light receiving device being provided with a plurality of light sensors for sensing light emitting from the light emitting device on an end surface facing the object to be aligned; a processor configured to receive sensing signals transmitted from each of the light sensors and determine whether the object to be aligned is aligned accurately according to whether each of the light sensors sense the light emitted from the light emitting device. This alignment system shortens the processing time and enhances the processing efficiency.

For the purposes of measuring structures of a microlithographic mask, a method for capturing absolute positions of structures on the mask and a method for determining structure-dependent and/or illumination-dependent contributions to the position of an image of the structures to be imaged, or of the edges defining this structure, are combined with one another. As a result of this, establishing an edge placement error that is relevant to the exposure of a wafer and, hence, a characterization of the mask can be substantially improved.