A sensor apparatus comprising an acoustic assembly arranged to transmit an acoustic signal to a substrate and receive at least part of the acoustic signal after the acoustic signal has interacted with the substrate, a transducer arranged to convert the at least part of the acoustic signal to an electronic signal, and, a processor configured to receive the electronic signal and determine both a topography of at least part of the substrate and a position of a target of the substrate based on the electronic signal. The sensor apparatus may for part of a lithographic apparatus or a metrology apparatus.

A method of determining a parameter of a lithographic apparatus, wherein the method includes providing first height variation data of a first substrate, providing first performance data of a first substrate, and determining a model based on the first height variation data and the first performance data. The method further includes obtaining second height variation data of a second substrate, inputting the second height variation data to the model, and determining second performance data of the second substrate by running the model. Based on the second performance data, the method determines a parameter of the apparatus.

A target for use in the measurement of misregistration between layers formed on a wafer in the manufacture of semiconductor devices, the target including a first pair of periodic structures (FPPS) and a second pair of periodic structures (SPPS), each of the FPPS and the SPPS including a first edge, a second edge, a plurality of first periodic structures formed in a first area as part of a first layer and having a first pitch along a first pitch axis, the first pitch axis not being parallel to either of the first edge or second edge, and a plurality of second periodic structures formed in a second area as part of a second layer and having the first pitch along a second pitch axis, the second pitch axis being generally parallel to the first pitch axis.

A substrate treatment apparatus includes a transport part to transport a transparent rectangular substrate, a substrate support part to support the substrate, light generators to irradiate two different lights onto the moving substrate, and sense the irradiated lights, and a controller to determine a posture of the substrate with reference to the sensed lights and control the transport part such that the substrate is seated on the substrate support part in a default posture that is preset. The controller determines the posture of the transparent rectangular substrate with respect to the default posture using a time difference between a time point at which a first light of the two different lights is not transmitted through an edge of the transparent rectangular substrate and a time point at which a second light of the two different lights is not transmitted through the edge of the transparent rectangular substrate.

A lithographic process is performed on a set of semiconductor substrates consisting of a plurality of substrates. As part of the process, the set of substrates is partitioned into a number of subsets. The partitioning may be based on a set of characteristics associated with a first layer on the substrates. A fingerprint of a performance parameter is then determined for at least one substrate of the set of substrates. Under some circumstances, the fingerprint is determined for one substrate of each subset of substrates. The fingerprint is associated with at least the first layer. A correction for the performance parameter associated with an application of a subsequent layer is then derived, the derivation being based on the determined fingerprint and the partitioning of the set of substrates.

A method including evaluating, with respect to a parameter representing remaining uncertainty of a mathematical model fitting measured data, one or more mathematical models for fitting measured data and one or more measurement sampling schemes for measuring data, against measurement data across a substrate, and identifying one or more mathematical models and/or one or more measurement sampling schemes, for which the parameter crosses a threshold.

A method including evaluating, with respect to a parameter representing remaining uncertainty of a mathematical model fitting measured data, one or more mathematical models for fitting measured data and one or more measurement sampling schemes for measuring data, against measurement data across a substrate, and identifying one or more mathematical models and/or one or more measurement sampling schemes, for which the parameter crosses a threshold.

A method of determining overlay of a patterning process, the method including: obtaining a detected representation of radiation redirected by one or more physical instances of a unit cell, wherein the unit cell has geometric symmetry at a nominal value of overlay and wherein the detected representation of the radiation was obtained by illuminating a substrate with a radiation beam such that a beam spot on the substrate was filled with the one or more physical instances of the unit cell; and determining, from optical characteristic values from the detected radiation representation, a value of a first overlay for the unit cell separately from a second overlay for the unit cell that is also obtainable from the same optical characteristic values, wherein the first overlay is in a different direction than the second overlay or between a different combination of parts of the unit cell than the second overlay.

Method and system for defining basis functions for fitting distortions of profiles of objects in a batch, that has undergone a fabrication process, in a manner adaptable to the fabrication process to reduce the errors between profiles approximated with the use of such basis functions and actual object profiles. Process-specific individual basis functions are defined based on spatially-dense measurement of objects from training sub-set of the batch and applying learning algorithm to results of such measurement. Advantages of process-adaptable basis functions over generic basis functions for fitting distortion shapes of objects include higher accuracy of fitting either at larger or a fewer locations across the object.

Embodiments of the present disclosure provide a substrate measuring device in a lithography projection apparatus that provides multiple light sources having different wavelengths. In some embodiments, a lithography projection apparatus includes a substrate measuring system disposed proximate to a substrate stage, the substrate measuring system further including an emitter including multiple light sources configured to provide multiple beams of light, each of at least some of the multiple beams of light having a different wavelength, at least one optical fiber, wherein each of respective portions of the at least one optical fiber is configured to pass a respective one of the multiple beams of light, and a receiver positioned to collected light emitted from the emitter and reflected off of a substrate disposed on the substrate stage.