A management apparatus includes a learning device. The learning device is configured to, in a case where a reward obtained from a control result of a controlled object by a controller configured to control the controlled object using a neural network, for which a parameter value is decided by reinforcement learning, does not satisfy a predetermined criterion, redecide the parameter value by reinforcement learning.

An imprint apparatus forms a pattern of a resin on a region to be processed of a substrate using a mold including a pattern region on which a pattern is formed and includes a correction unit configured to correct a shape of a target region that is either the pattern region on the mold or the region to be processed on the substrate, wherein the correction unit further includes: a heating unit configured to heat an object corresponding to the target region of either the mold or the substrate in a heating region having an area smaller than that of the pattern region on the mold; a scanning unit configured to scan the heating region with respect to the target region by changing the relative position of the target region and the heating region; and a control unit configured to acquire information regarding a correction deformation amount of the target region and control the heating unit and the scanning unit based on the information.

The present invention provides a detection apparatus for detecting a position of a detection target including a diffraction grating pattern, comprising: an illuminator configured to illuminate the detection target with illumination light including a plurality of wavelengths; a wavelength selector including an incident surface on which diffracted light from the detection target is incident, and configured to select light of a specific wavelength from the diffracted light; and a detector configured to receive the light of the specific wavelength selected by the wavelength selector and detect the position of the detection target, wherein positions on the incident surface where light components of the plurality of wavelengths included in the illumination light are incident are different from each other, and wherein the wavelength selector controls each of the plurality of elements in accordance with the position on the incident surface.

The present invention provides a lithography apparatus for performing a process of transferring a pattern of an original to each of shot regions two-dimensionally arrayed on a substrate, including a stage that moves while holding one of the substrate and the original, a measurement unit configured to measure, when performing the process, a positional shift amount between a mark provided on the original and a mark provided in each of the shot regions, and a control unit configured to control the process for the shot region so that after the process is performed successively for a plurality of first shot regions included in a first row, the process is performed successively for a plurality of second shot regions included in a second row adjacent to the first row.

A pattern forming apparatus which forms a pattern on a substrate, which includes a movable stage, a holding unit removably attached to the stage and configured to suck and hold the substrate, an optical system of which position with respect to the holding unit is fixed, and configured to detect an alignment mark of the substrate which is sucked by the holding unit from a suction surface side of the substrate, a reference mark for measuring a position of a detection field of the optical system, and a detection system configured to detect the reference mark. The substrate is disposed on the holding unit in accordance with the position of the reference mark detected by the detection system so that the alignment mark of the substrate detected from the suction surface side of the substrate by the optical system is disposed in the detection field of the optical system.

A measurement apparatus that measures position information of a measurement target is provided. The apparatus includes a scope configured to generate an image by capturing an image of the measurement target, and a processor configured to obtain position information of the measurement target based on the image. The processor is configured to generate a plurality of image components using a statistical technique from a plurality of images generated by the scope, output the plurality of generated image components, perform processing based on the plurality of image components, and determine the position information based on a result of the processing.

The imprint apparatus according to the present invention includes a mold holding unit configured to be movable with holding a mold, a moving body configured to be movable with holding a substrate, a detecting unit configured to detect a position of mold-side marks formed in a pattern region of the mold and a position of substrate-side marks formed in a shot region on the substrate, a measuring unit configured to measure a relative position between the mold holding unit and the moving body, and a controller configured to control a movement of the moving body based on a result of the detection by the detecting unit when an imprint process is performed in a normal shot region, and to control the movement of the moving body based on a result of the measurement by the measuring unit when the imprint process is performed in a deficient shot region.

An imprint apparatus brings an imprint material on a substrate including a first mark into contact with a mold including a second mark and cures the imprint material, thereby forming a cured product of the imprint material on the substrate. The apparatus includes a plurality of detectors used for alignment detection, and a controller configured to obtain a plurality of pieces of relative position information by detecting a relative position between the first mark and the second mark a plurality of times using the plurality of detectors in a state in which the imprint material is cured and a positional relationship between the substrate and the mold is maintained, and to calibrate, based on the plurality of pieces of relative position information, a plurality of detection processing operations each performed using each of the plurality of detectors.

An imprint lithography system includes: a first chuck configured to support a first substrate; a first bushing surrounding the first chuck and configured to pneumatically suspend the first chuck laterally within the first bushing; one or more supportive mechanisms disposed beneath the first chuck and configured to support the first chuck vertically within the first bushing, wherein the first chuck is configured to be forced in a downward direction against first vertical resistive forces provided by the one or more supportive mechanisms, while the first chuck is suspended laterally within the first bushing and while the first chuck is maintained in the first fixed rotational orientation.

A template includes: a base material having a surface including a first pattern, a second pattern and a third pattern, the first pattern including a first recess, the second pattern including a second recess. The base material containing a first material having a first refractive index; a first layer disposed in the first recess and containing a second material, the second material having a second refractive index different from the first refractive index; and a second layer disposed in the second recess, containing the second material, and being thicker than the first layer.