System and method for measuring an aerial image are provided. The system may include a lighting unit for providing illuminating light to pass through a mask to form initial light. An imaging unit is configured for imaging the initial light to form imaging light. A beam splitting unit is for splitting the imaging light into projection light and reference light. A projection light is projected to a substrate to form a mask image in the substrate, and the substrate reflects the projection light to form first reflected light onto the beam splitting unit. A reflecting unit is for receiving the reference light to form second reflected light, and for projecting the second reflected light onto the beam splitting unit, the second reflected light and the first reflected light interfering with each other to form interference light. A measuring unit is for measuring an aerial image formed from the interference light.

Disclosed herein is a computer-implemented method for determining an overlapping process window (OPW) of an area of interest on a portion of a design layout for a device manufacturing process for imaging the portion onto a substrate, the method comprising: obtaining a plurality of features in the area of interest; obtaining a plurality of values of one or more processing parameters of the device manufacturing process; determining existence of defects, probability of the existence of defects, or both in imaging the plurality of features by the device manufacturing process under each of the plurality of values; and determining the OPW of the area of interest from the existence of defects, the probability of the existence of defects, or both.

While a wafer stage linearly moves in a Y-axis direction, a multipoint AF system detects surface position information of the wafer surface at a plurality of detection points that are set at a predetermined distance in an X-axis direction and also a plurality of alignment systems that are arrayed in a line along the X-axis direction detect each of marks at positions different from one another on the wafer. That is, detection of surface position information of the wafer surface at a plurality of detection points and detection of the marks at positions different from one another on the wafer are finished, only by the wafer stage (wafer) linearly passing through the array of the plurality of detection points of the multipoint AF system and the plurality of alignment systems, and therefore, the throughput can be improved.

Position information of a movable body within an XY plane is measured with high accuracy by an encoder system whose measurement values have favorable short-term stability, without being affected by air fluctuations, and also position information of the movable body in a Z-axis direction orthogonal to the XY plane is measured with high accuracy by a surface position measuring system, without being affected by air fluctuations. In this case, since both of the encoder system and the surface position measuring system directly measure the upper surface of the movable body, simple and direct position control of the movable body can be performed.

A metrology system serves for examining objects with EUV measurement light. An illumination optical unit serves for guiding the EUV measurement light towards the object to be examined. The illumination optical unit has an illumination optical unit stop for prescribing a measurement light intensity distribution in an illumination pupil in a pupil plane of the illumination optical unit. An output coupling mirror serves for coupling a part of the measurement light out of an illumination beam path of the illumination optical unit. The output coupling mirror has a mirror surface which is used to couple out measurement light and has an aspect ratio of a greatest mirror surface extent A longitudinally with respect to a mirror surface longitudinal dimension (x) to a smallest mirror surface extent B longitudinally with respect to a mirror surface transverse dimension (y) perpendicular to the mirror surface longitudinal dimension (x). The aspect ratio AB is greater than 1.1. The result is a metrology system in which a measurement light throughput is optimized even in the simulation or emulation of an imaging optical unit of a projection exposure apparatus having an image-side numerical aperture of greater than 0.5 and in particular in the simulation or emulation of an anamorphic imaging optical unit.

A method for ascertaining distortion properties of an optical system in a measurement system for microlithography is provided, wherein the optical system images at least one structure to be measured into a measurement image. In accordance with one aspect, a method according to the invention comprises the following steps: measuring the field-dependent image aberrations of the optical system; determining a first distortion pattern present in the first image field generated by the optical system during measurement of at least one predefined structure; carrying out an optical forward simulation for the predefined structure taking account of the field-dependent image aberrations measured previously, with a second image field being generated; determining a second distortion pattern for the second image field generated previously; and ascertaining the structure-independent distortion properties of the optical system by calculating a third distortion pattern as the difference between the first distortion pattern and the second distortion pattern.

Methods and systems for determining information for a specimen are provided. Certain embodiments relate to bump height 3D inspection and metrology using deep learning artificial intelligence. For example, one embodiment includes a deep learning (DL) model configured for predicting height of one or more 3D structures formed on a specimen based on one or more images of the specimen generated by an imaging subsystem. One or more computer systems are configured for determining information for the specimen based on the predicted height. Determining the information may include, for example, determining if any of the 3D structures are defective based on the predicted height. In another example, the information determined for the specimen may include an average height metric for the one or more 3D structures.

When a reticle is first used, the reticle is loaded in a projection exposure device and measured by either oblique measurement and random measurement, thereby avoiding the fear of uneven sampling and determining the reticle transmittance of the entire reticle as the parent population, without increasing the sampling count. The same effect can be obtained by making the measurement spot size, which is fixed in general, variable and by changing the angle of incidence in relation to the measurement spot size.

A method of determining a relationship between a stochastic variation of a characteristic of an aerial image or a resist image and one or more design variables, the method including: measuring values of the characteristic from a plurality of aerial images and/or resist images for each of a plurality of sets of values of the design variables; determining a value of the stochastic variation, for each of the plurality of sets of values of the design variables, from a distribution of the values of the characteristic for that set of values of the design variables; and determining the relationship by fitting one or more parameters from the values of the stochastic variation and the plurality of sets of values of the design variables.

The present invention refers to a method for performing an aerial image simulation of a photolithographic mask which comprises the following steps: (a) modifying an optical radiation distribution at a patterned surface of the photolithographic mask, depending on at least one first arrangement of pixels to be generated in the photolithographic mask; and (b) performing the aerial image simulation of the photolithographic mask by using the generated modified optical radiation distribution.