A method of applying a measurement correction includes calculating a first correction value based on a first coefficient and the measurement; calculating a second correction value based on a second coefficient, greater than the first coefficient, and the measurement; and calculating a third correction value based on a third coefficient, greater than the second coefficient, and the measurement. The method also includes applying the third correction value to the measurement if a difference between the first correction value and the third correction value is above a first threshold value; applying the second correction value to the measurement if a difference between the first correction value and the second correction value is above a second threshold value; and applying the first correction value to the measurement if the difference between the first correction value and the second correction value is below or equal to the second threshold value.

Embodiments of bonded semiconductor structures and fabrication methods thereof are disclosed. In an example, a method for forming a semiconductor device is disclosed. A first device layer is formed on a first substrate. A first bonding layer including a first bonding contact and a first bonding alignment mark is formed above the first device layer. A second device layer is formed on a second substrate. A second bonding layer including a second bonding contact and a second bonding alignment mark is formed above the second device layer. The first bonding alignment mark is aligned with the second bonding alignment mark, such that the first bonding contact is aligned with the second bonding contact. The first substrate and the second substrate are bonded in a face-to-face manner, so that the first bonding contact is in contact with the second bonding contact at a bonding interface, and the first bonding alignment mark is in contact with the second bonding alignment mark at the bonding interface.

An apparatus for determining a characteristic of a feature of an object comprises: a measurement radiation source; a measurement radiation delivery system; a measurement system; a pump radiation source; and a pump radiation delivery system. The measurement radiation source is operable to produce measurement radiation and the measurement radiation delivery system is operable to irradiate at least a part of a top surface of the object with the measurement radiation. The measurement system is operable to receive at least a portion of the measurement radiation scattered from the top surface and is further operable to determine a characteristic of the feature of the object from at least a portion of the measurement radiation scattered from the top surface. The pump radiation source is operable to produce pump radiation and the pump radiation delivery system is operable to irradiate at least a part of the top surface of the object with the pump radiation so as to produce a mechanical response (for example an acoustic wave) in the object.

Embodiments of the present disclosure include measurement systems and grating pattern arrays. The measurement systems include multiple subsystems for creating diffraction patterns or magnified real images of grating regions on a substrate. The measurements systems are configured to reflect and transmit light, and the reflected and transmitted beams create diffraction patterns and enlarged images. The diffraction patterns and images provide information on grating pitch and angles of grating regions. Grating pattern arrays disposed on a substrate include main regions and reference regions. The reference regions are used to locate corresponding main regions. The measurement systems do not include a rotating stage, and thus precise control of rotation of a stage is not needed.

A method for calibrating the alignment of a wafer is provided. A plurality of alignment position deviation (APD) simulation results are obtained form a plurality of mark profiles. An alignment analysis is performed on a mark region of the wafer with a light beam. A measured APD of the mark region of the wafer is obtained in response to the light beam. The measured APD is compared with the APD simulation results to obtain alignment calibration data. An exposure process is performed on the wafer with a mask according to the alignment calibration data.

A lithographic apparatus includes a projection system which includes a plurality of optical elements configured to project a beam of radiation onto a radiation sensitive substrate. The lithographic apparatus also includes a metrology frame structure which includes a part of one or more optical element measurement systems to measure the position and/or orientation of at least one of the optical elements. The plurality of optical elements, a patterning device stage, and a substrate stage are arranged such that, in a two dimensional view on the projection system, a rectangle is defined such that it envelops the plurality of optical elements, the patterning device stage, and the substrate stage. The rectangle is as small as possible. The metrology frame structure is positioned within the rectangle.

A position encoder for monitoring position of an object includes a target pattern, an illumination system, an image sensor, and a control system. The illumination system generates (i) a first illumination beam that is directed toward and impinges on the target pattern, the first illumination beam having a first beam characteristic; and (ii) a second illumination beam that is directed toward and impinges on the target pattern, the second illumination beam having a second beam characteristic that is different than the first beam characteristic. The image sensor is coupled to the object and is spaced apart from the target pattern. The image sensor senses a first set of information from the first illumination beam impinging on the target pattern and senses a second set of information from the second illumination beam impinging on the target pattern. The control system analyzes the first set of information and the second set of information to monitor the position of the object.

A stage assembly for positioning a device along a first axis, the stage assembly comprising: a base; a stage that retains the device and moves above the base; a mover assembly that moves the stage along the first axis relative to the base; a first sensor system that monitors the movement of the stage along the first axis, the first sensor system generating a first signal, the first sensor system having a first sensor accuracy; a second sensor system that monitors the movement of the stage along the first axis, the second sensor system having a second sensor accuracy that is different from the first sensor accuracy of the first sensor system, the second sensor generating a second signal; and a control system that controls the mover assembly using at least one of the first sensor and the second signal.

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.

A method of controlling a lithographic apparatus to manufacture a plurality of devices, the method including: obtaining a parameter map representing a parameter variation across a substrate by measuring the parameter at a plurality of points on the substrate; decomposing the parameter map into a plurality of components, including a first parameter map component representing parameter variations associated with the device pattern and one or more further parameter map components representing other parameter variations; deriving a scale factor, configured to correct for errors in measurement of the parameter variation, from measurements of a second parameter of a substrate; and controlling the lithographic apparatus using the parameter map and scale factor to apply a device pattern at multiple locations across the substrate.