Abstract: A point diffraction interferometer for measuring properties of a spatial impulse response function, the interferometer including: a source for generating a source beam; an optical system; an optical element including a test object located in an object plane of the optical system, the test object including a diffraction point for generating from the source beam a measurement beam that passes through the optical system, wherein the optical element also generates from the source beam a reference beam that is combined with the measurement beam to generate an interference pattern in an image plane of the optical system, the interference pattern representing the spatial impulse response function of the optical system.

Abstract: In general, in one aspect, the invention features methods that include locating a plurality of alignment marks on a moveable stage, interferometrically measuring a position of a measurement object along an interferometer axis for each of the alignment mark locations, and using the interferometric position measurements to derive information about a surface figure of the measurement object. The position of the measurement object is measured using an interferometry assembly and either the measurement object or the interferometry assembly are attached to the stage.

Abstract: In general, in one aspect, the invention features methods that include interferometrically monitoring a distance between an interferometry assembly and a measurement object along each of three different measurement axes while moving the measurement object relative to the interferometry assembly. The methods also include monitoring an orientation angle of the measurement object with respect to a rotation axis non-parallel to the three different measurement axes while the measurement object is moving, determining values of a parameter for different positions of the measurement object from the monitored distances, wherein for a given position the parameter is based on the distances of the measurement object along each of the three different measurement axes at the given position, and deriving information about a surface figure profile of the measurement object from a frequency transform of at least the parameter values.

Abstract: An interferometric system including: an interferometer that directs a measurement beam at an object point to produce a return measurement beam, focuses the return measurement beam to an image point in an image plane, and mixes the return measurement beam with a reference beam at the image point to form a mixed beam; a beam combining layer located at the image plane which is responsive to the mixed beam and produces an optical beam therefrom, wherein the layer comprises a thin film with an array of transmissive openings formed therein and further comprises a fluorescent material associated with each of the openings of the array of openings; a detector that is responsive to the optical beam from the beam combining layer; and an imaging system that directs the optical beam from the beam combining layer onto the detector.

Abstract: A microlithography method includes: interferometrically measuring information about a position of a microlithography stage with respect to each of multiple metrology axes during a photolithographic exposure cycle; analyzing the position information to determine correction factors indicative of a local slope on a side of the stage used to reflect an interferometric measurement beam and optical gradients caused by environmental effects produced by the photolithographic exposure cycle; and applying the correction factors to subsequent interferometric measurements of the stage.

Abstract: The invention features a system and method for reducing the contribution of cyclic errors to an interferometric position measurement of a movable stage. An initial interferometric position measurement of the stage is averaged with at least one additional measurement corresponding to a displacement(s) of the stage from its initial position. The displacements are selected to reduce the overall cyclic error contribution to an average position measurement. As a result, the average position of the stage can be measured more accurately than any of its individual positions. The average position can be used to more accurately determine the average position of an alignment mark on a wafer carried by the stage. Furthermore, the averaging described above can be applied to additional interferometric measurement axes.

Abstract: An interferometric apparatus includes: a polarizing beam-splitting interface positioned to separate an input beam into two orthogonally polarized beams; and interferometer optics positioned to receive a first set of beams derived from one of the orthogonally polarized beams and a second set of beams derived from the other of the orthogonally polarized beams. The interferometer optics are configured to direct each beam in the first set to contact different locations of a measurement object at least once, and subsequently combine each beam in the first set with a corresponding beam from the second set of beams to produce a corresponding output beam comprising information about changes in the position of the measurement object with respect to a different degree of freedom.

Abstract: The invention features a method for determining non-linear cyclic errors in a metrology system that positions a measurement object under servo-control based on an interferometrically derived position signal. The method includes: translating the measurement object under servo-control at a fixed speed; identifying frequencies of any oscillations in the position of measurement object as it is translated at the fixed speed; and determining amplitude and phase coefficients for sinusoidal components at the identified frequencies which when combined with the position signal suppress the oscillations. The invention also features a method for positioning a measurement object under servo-control based on an interferometrically derived position signal indicative of a position for the measurement object.

Abstract: Methods and apparatus for reducing the effects of non-isotropic gas distributions on interferometry measurements are disclosed.

Abstract: An interferometric system including: an interferometer that directs a measurement beam at an object point to produce a return measurement beam, focuses the return measurement beam to an image point in an image plane, and mixes the return measurement beam with a reference beam at the image point to form a mixed beam; a beam combining layer located at the image plane which is responsive to the mixed beam and produces an optical beam therefrom, wherein the layer comprises a thin film with an array of transmissive openings formed therein and further comprises a fluorescent material associated with each of the openings of the array of openings; a detector that is responsive to the optical beam from the beam combining layer; and an imaging system that directs the optical beam from the beam combining layer onto the detector.

Abstract: Methods and apparatus for characterizing and compensating non-cyclic errors in fiber optic pickups in interferometry systems are disclosed.

Abstract: There is provided an apparatus and method for enabling an elongated pipe to be installed below a ceiling using a single installer. A pair of rotatable jaws is provided. The jaws are adapted to temporarily support one end of a pipe. A fastener is provided for removably securing the apparatus to a ceiling. An extension device, in the form of an elongated rod, connects the jaws to the fastener so that one end of the pipe may be temporarily supported a predetermined distance from the ceiling and the installer may connect the other end of the pipe to another pipe or to another connecting member.

Abstract: In general, in one aspect, the invention features methods that include using an interferometer to produce an output beam having a phase related to an optical path difference between a path of a first beam and a path of a second beam, wherein the first beam contacts a measurement object and either the measurement object or the interferometer are coupled (e.g., directly attached) to a stage that is moveable within a reference frame. The methods further include monitoring variations in the phase while both varying an orientation of the stage with respect to at least one degree of freedom in the reference frame and keeping a reference mark on the stage in a common position with respect to the reference frame, and determining information based on the monitored variations, the information being related to a contribution to the optical path difference caused by a deviation of the path of the first or second beam from a nominal beam path.

Abstract: An interferometric system including: an interferometer that directs a measurement beam at an object point to produce a return measurement beam, focuses the return measurement beam to an image point in an image plane, and mixes the return measurement beam with a reference beam at the image point to form a mixed beam; a beam combining layer located at the image plane which is responsive to the mixed beam and produces an optical beam therefrom, wherein the layer comprises a thin film with an array of transmissive openings formed therein and further comprises a fluorescent material associated with each of the openings of the array of openings; a detector that is responsive to the optical beam from the beam combining layer; and an imaging system that directs the optical beam from the beam combining layer onto the detector.

Abstract: An interferometry system including: a first imaging system that directs a measurement beam at an object to produce a return measurement beam from the object, that directs the return measurement beam onto an image plane, and that delivers a reference beam to the image plane; and a beam combining element in the image plane, said beam combining element comprising a first layer containing an array of sagittal slits and a second layer containing an array of tangential slits, wherein each slit of the array of sagittal slits is aligned with a corresponding different slit of the array of tangential slits, wherein the beam combining element combines the return measurement beam with the reference beam to produce an array of interference beams.

Abstract: In general, in a first aspect, the invention features methods that include deriving a first beam and a second beam from an input beam and directing the first and second beams along different paths, where the path of the first beam contacts a measurement object, producing an output beam comprising a phase related to an optical path difference between the different beam paths, determining a position of the measurement object with respect to at least one degree of freedom based on information derived from the output beam, monitoring variations in a direction of the input beam, and using the monitored variations in the direction of the input beam to reduce errors in the determined position associated with deviations of the path of the input beam from a nominal input beam path.

Abstract: A method of processing a substrate on which a layer of photoresist has been applied, the method involving: exposing the layer of photoresist to radiation that carries spatial information to generate exposure-induced changes in the layer of photoresist that form a pattern having one or more features; and before developing the exposed photoresist, interferometrically obtaining measurements of the pattern in the exposed layer of photoresist for determining at least one of (1) locations of the one or more features of the pattern and (2) magnitudes of the exposure-induced changes.

Abstract: A corner cube retroreflector having a coating including one or more layers at each reflecting surface. The coating causes the retroreflector to have polarization eigenstates that are substantially linear and to have the properties of a half-wave plate. The coated retroreflector can be used in interferometry and microlithography system.

Abstract: A method of interferometrically obtaining measurements for properties associated with a spot on or in an object, the method involving: receiving a sequence of M optical pulses separated in time; from each pulse in the sequence of M optical pulses, generating an n-tuplet of measurement pulses, and an n-tuplet of reference pulses, wherein each measurement pulse has a corresponding reference pulse aligned with it in time; from each pulse of each n-tuplet of reference pulses for the sequence of M optical pulses, generating a reference beam; from each pulse of each n-tuplet of measurement pulses for the sequence of M optical pulses, (a) generating a measurement beam; (b) directing the measurement beam onto the spot to thereby produce a return measurement beam from the spot; and (c) combining the return measurement beam with the corresponding reference beam that was derived from the reference pulse corresponding to that measurement pulse to generate an interference beam, wherein the sequence of M n-tuplets of measu

Abstract: Interferometers can be configured to maintain a measurement beam substantially orthogonal to a plane measurement mirror and to minimize the lateral beam shear between the measurement and reference beam components of the output beam to a detector. These interferometers use a dynamic beam steering element to redirect the input beam in response to changes in the orientation of the measurement plane mirror. These interferometers may be further configured to measure displacement and change in orientation of the plane mirror or configured in a combination of single pass interferometers fed by the input beam for measuring displacement and change in orientation of the plane mirror.