Abstract: The system includes a radiation source, a diffractive element, an optical system, a detector, and a processor. The radiation source generates radiation. The diffractive element diffracts the radiation to generate a first beam and a second beam. The first beam includes a first non-zero diffraction order and the second beam includes a second non-zero diffraction order that is different from the first non-zero diffraction order. The optical system receives a first scattered beam and a second scattered radiation beam from a target structure and directs the first scattered beam and the second scattered beam towards a detector. The detector generates a detection signal. The processor analyzes the detection signal to determine a target structure property based on at least the detection signal. The first beam is attenuated with respect to the second beam or the first scattered beam is purposely attenuated with respect to the second scattered beam.

Abstract: A method for measuring a parameter of interest from a target and associated apparatuses. The method includes obtaining measurement acquisition data relating to measurement of the target and finite-size effect correction data and/or a trained model operable to correct for at least finite-size effects in the measurement acquisition data. At least finite-size effects in the measurement acquisition data is corrected for using the finite-size effect correction data and/or the trained model to obtain corrected measurement data and/or obtain a parameter of interest; and where the correcting does not directly determine the parameter of interest, determining the parameter of interest from the corrected measurement data.

Abstract: A method includes irradiating a target structure with sequential illumination shots, directing scattered beams from the target structure towards an imaging detector, generating a detection signal using the imaging detector, and determining a property of the target structure based on at least the detection signal. An integration time for each illumination shot of the sequential illumination shots is selected so to reduce a low frequency error.

Abstract: Disclosed is a method for determining a stage position or correction therefor in a lithographic process. The method comprises obtaining transmission data describing the transmission of alignment radiation onto the substrate; obtaining position data relating to a stage position of said stage and/or a sensor position of said sensor. A weighting is determined for the position data based on said transmission data. The position based on said transmission data, position data and weighting.

Abstract: A metrology system includes a radiation source, first, second, and third optical systems, and a processor. The first optical system splits the radiation into first and second beams of radiation and impart one or more phase differences between the first and second beams. The second optical system directs the first and second beams toward a target structure to produce first and second scattered beams of radiation. The third optical system interferes the first and second scattered beams at an imaging detector. The imaging detector generates a detection signal based on the interfered first and second scattered beams. The metrology system modulates one or more phase differences of the first and second scattered beams based on the imparted one or more phase differences. The processor analyzes the detection signal to determine a property of the target structure based on at least the modulated one or more phase differences.

Abstract: Disclosed is a method of metrology such as alignment metrology. The method comprises obtaining pupil plane measurement dataset at a pupil plane relating to scattered radiation resultant from a measurement of a structure. The method comprises determining a measurement value or correction therefor using the pupil plane measurement dataset and a sensor term relating to sensor optics used to perform said measurement.

Abstract: Disclosed is a method for determining a stage position or correction therefor in a lithographic process. The method comprises obtaining transmission data describing the transmission of alignment radiation onto the substrate; obtaining position data relating to a stage position of said stage and/or a sensor position of said sensor. A weighting is determined for the position data based on said transmission data. The position based on said transmission data, position data and weighting.