Abstract: A broadband interferometric vertical scan of a sample surface is performed to produce interference data in conventional manner. A coarse surface profile of the surface is obtained in real time using a conventional technique, such as a center-of-mass calculation. A fine surface map is obtained concurrently using a quadrature-demodulation algorithm applied in real time to the same interference data used for the coarse surface calculation. The fine surface map is then combined with the coarse surface profile using an unwrapping technique that produces a final surface map with sub-nanometer resolution within a large height range.

Abstract: This optical tomographic imaging system comprises an optical path length adjustor configured to set a first reference position of a measurement depth direction to an inner edge of a measurement range by adjusting an optical path length of a reference light, and an optical path length switching unit having a preset optical path length that provides a second reference position differing in measurement depth from the first reference position by a predetermined amount and configured to change the optical path length of the reference light or the optical path length of the reflected light adjusted by the optical path length adjustor so as to switch between the first reference position and the second reference position. This system is capable of measuring a measurement region of interest at high resolution, regardless of the position (depth) of the measurement region of interest, in an SS-OCT employing a wavelength-swept light source.

Abstract: Described are a multiple channel interferometric surface contour measurement system and methods of determining surface contour data for the same. The measurement system includes a multiple channel interferometer projector, a digital camera and a processor. Fringe patterns generated by spatially separate channels in the projector are projected onto an object surface to be measured. The digital camera acquires images of the fringe patterns and the processor determines surface contour data from the fringe patterns. More specifically, fringe numbers are determined for points on the object surface based on image data. The fringe numbers are modified according to collinear adjustment values so that the modified fringe numbers correspond to a common, collinear axis for the interferometer projector. After unwrapping the modified fringe numbers, the unwrapped values are modified by the collinear adjustment values to obtain accurate fringe numbers for the pixels in each interferometer channel.

Abstract: White light interferometry is used to obtain the height information of the topmost surface of an object having a transparent thin film on it. N frames of data are acquired from an interferometer while a white light fringe pattern is scanning through a field of view. The modulation fringe envelope R(n) is calculated for every pixel; and the topmost surface position at every pixel is determined as an offset of R(n).

Abstract: A dimension measuring apparatus includes a light beam splitting element for splitting light emitted from a white light source into measuring light flux and reference light flux, a reference light scanning optics for varying optical path length of the reference light flux, a detector for detecting interference signal produced by the light fluxes, and a controller for determining the surface height of the object from the optical path length of the reference light flux corresponding to maximum value of the interference signal. The reference light scanning optics includes a rotary member, first and second reflective elements disposed to be symmetrical with respect to the rotation axis of the rotary member, and light beam deflecting members that direct the reference light flux to be incident on the first reflective element along the direction parallel and opposite to the incident direction of the reference light flux on the second reflective element.

Abstract: A reticle is loaded on a reticle measuring instrument (step S50), and the surface shape of the reticle in a state held by a reticle holder of the reticle measuring instrument is measured in advance (step S52). Because the surface shape difference between the reticle holder of the reticle measuring instrument and a reticle holder of an exposure apparatus is known, the surface shape of the reticle in a state equivalent to the state held by the reticle holder of the exposure apparatus can be calculated (step S56) by adding to the measurement results such surface shape difference.

Abstract: A method for determining a spatial property of an object includes obtaining a scanning low coherence interference signal from a measurement object that includes two or more interfaces. The scanning low coherence interference signal includes two or more overlapping low coherence interference signals, each of which results from a respective interface. Based on the low coherence interference signal, a spatial property of at least one of the interfaces is determined. In some cases, the determination is based on a subset of the low coherence interference signal rather than on the entirety of the signal. Alternatively, or in addition, the determination can be based on a template, which may be indicative of an instrument response of the interferometer used to obtain the low coherence interference signal.

Abstract: An apparatus for measuring surface topography of an object includes an optical arrangement capable of directing a first light beam at a surface of the object, providing a second light beam coherent with and spatially phase-shifted relative to the first light beam, and generating an interference beam from the second light beam and a reflection of the first light beam from the surface of the object. The apparatus further includes at least one line scan sensor for detecting and measuring the interference beam.

Abstract: This invention provides a method and an apparatus of measuring a micro-structure, capable of evaluating a geometry of a micro-structure formed typically on the surface of a semiconductor substrate, in a non-destructive, easy, precise and quantitative manner. A reflection spectrum of a sample having a known dimension of a target micro-geometry is measured (A1), features (waveform parameters) which strongly correlate to a dimension of the measured micro-geometry are determined (A2), a relation between the dimension of the micro-geometry and the waveform parameters is found (A3), and a dimension of the micro-structure having an unknown dimension is finally determined using this relation and based on the reflection spectrum obtained therefrom (A4, A5).

Abstract: A moving-object measuring interferometric apparatus comprises: a light beam output section outputting a measuring beam; an interference optical system obtaining interference light by projecting the measuring beam onto an object and by allowing light reflected from the object or transmitted light having passed through the object to interfere with reference light; an image pickup section obtaining image information by receiving the interference light on an image pickup surface; and an image pickup timing control section setting a momentary image pickup period during which the object is regarded as being stationary to be contained in a light reception acceptable period of the image pickup surface and controlling the interference light to enter the image pickup surface only during the momentary image pickup period.

Abstract: The present invention provides a three-dimensional shape measurement method and a three-dimensional shape measurement apparatus. Color luminance data I (x, y) is separated by an arithmetic processing unit into R, G and B which are color components of a color image. Then, maximum amplitude values are calculated, and the maximum values are composed to obtain an in-focus color omnifocal image. Further, a Z-position corresponding to the maximum amplitude value in an interferogram is calculated in at least one color component, and this processing is performed for all pixels (x, y) to calculate height information for a sample. The height information is provided to the color omnifocal image, such that the three-dimensional shape of the sample can be measured.

Abstract: An interferometric system having an illumination arm, including a light source and an illuminating optical system, for forming an illuminating beam; an object arm, including a reference element for measuring an object having an object surface to be measured, for forming an image-rays path, the object to be measured having an object surface inaccessible to direct illumination; a reference arm including a reference element; a detector arm including a detector; and a beam splitter, the reference element having one or more mirrored zones. Consequently, component parts which have undercut surfaces in the illumination direction can be measured in a single measuring operation.

Abstract: An apparatus for performing surface measurement of an inspection-object surface and profile irregularity measurement and surface defect observation of an inspection-object lens using a Fizeau interferometric optical system.

Abstract: A light emission section includes light generators which are operated on the basis of drive signals from a controller so as to emit near infrared interferable light beams having different specific wavelengths to a light interference section. The light interference section includes a beam splitter having a low-reflection region. The beam splitter allows a most portion of the near infrared interferable light beams to propagate toward an object to be examined, and reflects a portion of the near infrared interferable light beams to a movable mirror. The beam splitter causes interference between measurement light reflected by the object and reference light reflected by the movable mirror, and the resultant interference light propagates to a light detection section. The light detection section receives the interference light and calculates predetermined information regarding the object by making use of the quantity distribution of the interference light. A display section displays the calculated information.

Abstract: An interferometer system is disclosed which is configured to combine measurement light with reference light to form an optical interference pattern, where the interferometer system includes a modulator configured to repetitively introduce a sequence of phase shifts between the measurement and reference light; and a camera system positioned to measure the optical interference pattern, where the camera system is configured to separately accumulate time-integrated images of the optical interference pattern corresponding to the different phase shifts in the sequence during the repetitions of the sequence.

Abstract: A method includes comparing a scanning interferometry signal obtained for a location of a test object to each of multiple model signals corresponding to different model parameters for modeling the test object, wherein for each model signal the comparing comprises calculating a correlation function between the scanning interferometry signal and the model signal to identify a surface-height offset between the scanning interferometry signal and the model signal and, based on the identified surface-height offset, calculating a height-offset compensated merit value indicative of a similarity between the scanning interferometry signal and the model signal for a common surface height. The method further includes, based on the respective merit values for the different model signals, determining a test object parameter at the location of the test object.

Abstract: An optical measuring apparatus for comprising, in combination, a polarization type interferometer including a polarization type beam splitter in which a polarized beam of light is split into orthogonally polarized reference and test beams, an array of detectors arranged in a line for creating a plurality of phase shifting interferograms, and a scanning device for moving the object in a direction perpendicular to a long axis of the detectors.

Abstract: The invention relates to an apparatus for forming or working optical elements and/or optical forming elements (1) comprising a working apparatus (18) for forming surfaces of form parts by machining or an abrasive technique, wherein at least one measuring device (17) is provided for measuring changes in form and/or surface roughness of said surface when said surface is being worked and, on the basis thereof controlling said working apparatus (18).

Abstract: The present invention relates to a cantilever sensor system and profilers as well as biosensors using the same. The cantilever sensor system comprises: an interferometric lens module; a cantilever module; and an imaging device. The interferometric lens module further comprises: a light source; a light splitting unit; and an interferometric lens; wherein a light beam emitted from the light source is projected to the cantilever module through the light splitting unit and the interferometric lens where it is reflected back to the light splitting unit so as to interfere with the reference light beam from the reference mirror. The imaging device is used for capturing interferograms caused by the interference between the light beam of the light source and the reflected beam thereof.

Abstract: A measurement method for measuring a shape of a target using an interference pattern includes the steps of converting a first interference pattern into a first shape of the target (S103 to S105), obtaining a second interference pattern at a position where the target moves in an optical axis direction of the reference surface (S107, S108), unwrapping the second interference pattern after aligning a phase of the first interference pattern with a phase of the second interference pattern (S109), converting the unwrapped second interference pattern into a second shape of the target (S110), determining whether or not the first shape of the target coincides with the second shape (S111), and calculating the shape of the target by adding the integral multiple of a wavelength of the light source to the unwrapped second interference pattern if the first shape does not coincide with the second shape (S112).

Abstract: A method and apparatus for providing information associated with at least one portion of a sample can be provided. For example, at least one wavelength of electro-magnetic radiation provided on a sample can be encoded to determine at least one transverse location of the portion. A relative phase between at least one first electro-magnetic radiation electro-magnetic radiation being returned from a sample and at least one second electro-magnetic radiation returned from a reference can be obtained to determine at least one relative depth location of the portion. Further, the information of the portion can be provided based on the transverse location and the relative depth location. For example, the information can be depth information and/or three-dimensional information associated with the portion of the sample.

Abstract: The invention relates to a coordinate measuring machine (1) and a method for adapting the temperature of substrates. The coordinate measuring machine (1) includes at least one measurement table (20) movable in the X-coordinate direction and in the Y-coordinate direction, a measurement objective (9) and a camera (10) for determining the positions of the structures (3) on the substrate (2). There is further provided an interferometer (24) for determining the positions of the measurement objective (9) and the measurement table (20). The entire system is enclosed by a housing (50) forming a climatic chamber, in which there are further provided a magazine (32) for substrates (2), a loading station (35) for substrates (2) and a transport means (38) transporting the substrates (2) between the loading station (35), the magazine (32) and/or the measurement table (20).

Abstract: In certain aspects, disclosed methods include directing test light reflected from an object to form an image of the object on a detector, where the object includes a diffractive structure. The test light at the detector includes both specularly and non-specularly reflected light from the diffractive structure, and the diffractive structure is under-resolved in the image. The method further includes directing reference light to interfere with the test light at the detector where the reference and test light being derived from a common source, varying an optical path length difference between the test and reference light, acquiring an interference signal from the detector while varying the optical path length difference, and determining information about the diffractive structure based on the interference signal and on predetermined information derived from a mathematical model of light reflection from a model diffractive structure.

Abstract: A method of measuring a 3D shape includes the steps of measuring a brightness of a first illumination source 41a, measuring a phase-to-height conversion factor, measuring a 3D shape of a circuit board 62 according to the normal inspection mode, and determining whether bare board information about the circuit board 62 is included. If the information is not included, performing bare board teaching to acquire the information. Then, the 3D shape of target objects on the circuit board 62 are measured, when the bare board information is included or bare board teaching information is generated. Next, the circuit board 62 is analyzed to determine if it is normal or abnormal by using 3D shape information.

Abstract: To provide a superluminescent diode capable of emitting high output super luminescent light having a central wavelength within a range of 0.95 ?m to 1.2 ?m and an undistorted beam cross section, having a long element life. The super luminescent diode is constituted by: an n-type GaAs substrate; an optical waveguide path constituted by an InGaAs active layer that emits light having a central wavelength within a range of 0.95 ?m to 1.2 ?m, formed on the GaAs substrate; and a window region layer having a greater energy gap and a smaller refractive index than the active layer, constituted by p-type GaAs that lattice matches with the GaAs substrate, provided at a rear emitting facet of the optical waveguide path. The p-type GaAs window region layer has a favorable crystal membrane with the InGaAs active layer that emits light having the central wavelength within the range of 0.95 ?m to 1.2 ?m, which does not deteriorate.

Abstract: To provide a method for measuring a plane mirror or a curved surface mirror close to plane mirror for condensing hard X-rays or soft X-rays used in a radiation light facility, especially an elliptical or tubular object having a steep profile exceeding 1×10?4 rad, ultra precisely with a precision on nano order or sub-nano order. Overall profile is measured by using overall profile data obtained from a Fizeau interferometer and stitching a plurality of micromeasurement data from a Michelson microinterferometer.

Abstract: Methods are provided for estimating a surface profile of a sample in an interferometer having a broad bandwidth light source. The interferometer detects interference pattern intensity data over a series of frames of a relative scan between the sample and a reference surface.

Abstract: An interferometric measuring device, especially for measuring the shape of a surface of an object, includes a radiation source emits a short coherent electromagnetic radiation, a component, in particular a beam splitter, to form an object beam that is guided to the object via an object light path, and a reference beam guided to a reference plane via a reference light path, and a pickup element, by the use of which an electromagnetic radiation, that is reflected by the object and the reference plane and brought to interference, is able to be picked up. In this context, an adaptive optical element is provided, with the aid of which the imaging of the object on the pickup element and/or the wave front of the reference beam and/or the optical path length in the reference light path and/or in the object light path may be influenced.

Abstract: In general, in one aspect, the invention features a method that includes transforming interferometry data acquired for a test sample using a low coherence imaging interferometry system to a frequency domain and, at a plurality of frequencies in the frequency domain, reducing contributions to the transformed interferometry data due to imperfections in the imaging interferometry system thereby producing compensated interferometry data. The errors are reduced based on variations between interferometry data acquired using the low coherence imaging interferometry system for a calibration sample and model interferometry data corresponding to data acquired for the calibration sample using a model interferometry system.

Abstract: The invention relates to a method of measuring a volume in a fluid flow micromechanical device (100) by optically measuring the profile of a surface therein, the method comprising the following steps: a) providing and positioning an optical apparatus (10; 50; 30; 70) for measuring the profile of a surface; b) providing means (24; 44; 64; 84) for acquiring and processing the images coming from the optical apparatus for measuring a profile; c) placing said moving member (133) in a first position and then in a second position, and activating said optical apparatus for measuring the profile of the surface to direct a light beam on said reference face, and activating the image acquisition and processor means to obtain a first image in said first position of the moving member (133) and a second image in said second position; and d) comparing said second image with said first image of said reference face to determine the variation in the volume of the cavity (138) generated by the deformation of the moving member

Abstract: A method of acquiring a vertical section image of lingual fur, and an apparatus to perform the method, the method including generating interfering light from irradiated light and light reflected from a tongue tissue, and generating a partial image corresponding to a relative intensity of the generated interfering light.

Abstract: Light is directed along a sample path towards the sample surface and along a reference path towards a reference surface such that light reflected by the sample surface and light reflected by the reference surface interfere. Relative movement is effected between the sample surface and the reference surface along a measurement path and the light intensity resulting from interference between light reflected from the reference surface and regions of the sample surface is sensed at intervals along the measurement path to provide a number of sets of light intensity data values with each light intensity data value representing the sensed light intensity associated with a corresponding one of said regions. The sets of light intensity data are processed to determine a position along the measurement path at which a predetermined feature occurs in the light intensity data for each sensed region and to enhance image data representing the intensity data to facilitate the detection by a user of the interference fringes.

Abstract: The present invention provides a measuring apparatus which measures a shape of a surface of a measurement target object, comprising a light projecting optical system configured to split light from a light source into measurement light and reference light so that the measurement light enters the surface of the measurement target object and the reference light enters a reference mirror, a light receiving optical system configured to guide the measurement light reflected by the surface of the measurement target object and the reference light reflected by the reference mirror to a photoelectric conversion device, and a processing unit configured to calculate the shape of the surface of the measurement target object based on an interference pattern which is detected by the photoelectric conversion device and formed by the measurement light and the reference light.

Abstract: A variable transmittance optical element is provided in an imaging optical system of an endoscope, and includes small etalons or multiple microscopic mirror that have an effective part that allows passage of a light beam received at a unit light receiving area that corresponds to an individual pixel, or a plurality of pixels, of an image pickup device that is provided in the imaging optical system of the endoscope. Each of said small etalons or microscopic mirrors have facing surfaces that are arranged so as to be parallel to one another on a transparent substrate; and the transparent substrate and an image pickup surface of the image pickup device are positioned so that each of the small etalons or microscopic mirrors allows passage of the light beam.

Abstract: Methods and apparatus for three-dimensional imaging of a sample. A source is provided of a beam of light characterized by partial spatial coherence. The beam is focused onto a sample and scattered light from the sample is superposed with a reference beam derived from the source onto a focal plane detector array to provide an interference signal. A forward scattering model is derived relating measurement data to structure of an object to allow solutions of an inverse scattering problem, based upon the interference signal so that a three-dimensional structure of the same may be inferred. The partial spatial coherence of the source, which may be fixed or variable, may advantageously provide for rejection of multiple scattering artifacts and thus improve image quality.

Abstract: In a defect inspecting apparatus, a differential interference optical system forms a differential interference image which is produced from an optical interference of images in a predetermined direction, the images corresponding to inspecting parts of a pattern formed on a mask. A control part varies the predetermined direction so as to cause the differential interference optical system to produce another differential interference image. An image pickup sensor picks up the differential interference images in accordance with the variation of the predetermined direction. A defect detecting unit detects a defect in the pattern formed on the mask from comparing the differential interference images with reference images, respectively.

Abstract: A pulsed laser system includes a modulator module configured to provide pulsed electrical signals and a plurality of solid-state seed sources coupled to the modulator module and configured to operate, responsive to the pulsed electrical signals, in a pulse mode. Each of the plurality of solid-state seed sources is tuned to a different frequency channel separated from any adjacent frequency channel by a frequency offset. The pulsed laser system also includes a combiner that combines outputs from each of the solid state seed sources into a single optical path and an optical doubler and demultiplexer coupled to the single optical path and providing each doubled seed frequency on a separate output path.

Abstract: The invention relates to a plug connection for a mobile optical multi-thread plug part (2, 3) which comprises various adaptive means. The adaptive section (PA1) of the first adaptive means (6, 8) is longer than the adaptive section (PA2) of the second adaptive means (7, 9) in relation to the longitudinal axis thereof. The adaptive means (6, 7, 8, 9) are embodied in such a manner that initially the first adaptive means (6, 8) and then the second adaptive means (7, 9), after surpassing an insertion path, can be impinged upon by associated guiding means of the plug part, when the plug part (2, 3) is inserted.

Abstract: An interferometery system for making interferometric measurements of an object, the system including: a beam generation module which during operation delivers an output beam that includes a first beam at a first frequency and a second beam at a second frequency that is different from the first frequency, the first and second beams within the output beam being coextensive, the beam generation module including a beam conditioner which during operation introduces a sequence of different shifts in a selected parameter of each of the first and second beams, the selected parameter selected from a group consisting of phase and frequency; a detector assembly having a detector element; and an interferometer constructed to receive the output beam at least a part of which represents a first measurement beam at the first frequency and a second measurement beam at the second frequency, the interferometer further constructed to image both the first and second measurement beams onto a selected spot on the object to produce

Abstract: A surface measuring apparatus for measuring a surface shape of an element includes a measurement frame having a mount for mounting the element to be measured, a stage including a rotatable device, the stage being movable in at least a first direction relative to the measurement frame, and a contactless distance measurement device for measuring in the first direction a distance between the measurement frame and a predetermined measurement surface provided on the rotatable device. The apparatus further comprises a second distance measurement device for measuring in a second direction a second distance between the device and a selected position on a surface of an element mounted relative to the measurement frame and a rotation measurement device for measuring an angle of rotation between the first and second direction. In this way, aspheric or free-form surfaces of optical elements can be measured easily in closed loop without introducing abbel-errors.

Abstract: An apparatus and method are provided. In particular, at least one first electro-magnetic radiation may be provided to a sample and at least one second electro-magnetic radiation can be provided to a non-reflective reference. A frequency of the first and/or second radiations varies over time. An interference is detected between at least one third radiation associated with the first radiation and at least one fourth radiation associated with the second radiation. Alternatively, the first electro-magnetic radiation and/or second electro-magnetic radiation have a spectrum which changes over time. The spectrum may contain multiple frequencies at a particular time. In addition, it is possible to detect the interference signal between the third radiation and the fourth radiation in a first polarization state. Further, it may be preferable to detect a further interference signal between the third and fourth radiations in a second polarization state which is different from the first polarization state.

Abstract: A method including: imaging test light emerging from a test object over a range of angles to interfere with reference light on a detector, wherein the test and reference light are derived from a common source; for each of the angles, simultaneously varying an optical path length difference from the source to the detector between interfering portions of the test and reference light at a rate that depends on the angle at which the test light emerges from the test object; and determining an angle-dependence of an optical property of the test object based on the interference between the test and reference light as the optical path length difference is varied for each of the angles.

Abstract: A reference plane is arranged in a posture obliquely tilted at an optional angle relative to a traveling direction of a light-beam, so that an interference fringe is generated from the reflected light-beams which are reflected from a target plane and the reference plane and, then, return on a single optical path. An image of the interference fringe is taken by a CCD camera to acquire intensity value data of each pixel. A phase of an interference fringe waveform is obtained for each pixel by a CPU by fitting the intensity value data to a model equation expressing the interference fringe waveform, where the intensity value data contain that of each pixel and those of the pixels in the vicinity of the relevant pixel, on assumption that DC components, AC amplitudes and phases of the interference fringe waveforms are respectively constant in the vicinity of the relevant pixel. The obtained phase is converted into a height to measure a surface profile.

Abstract: An apparatus for assessing topology of a surface of a target. The apparatus includes an optical source for generating a probe laser beam. The apparatus also includes means for scanning the probe laser beam across at least a portion of the surface of the target. The apparatus further includes a beamsplitter for redirecting a return signal toward means for detecting the return signal in a substantially quadrature condition, the return signal resulting from reflection of the probe laser beam off the surface of the target. A quadrature interferometric method for determining the presence or absence of a target analyte in a sample. The method comprises generating a laser probe beam having a wavelength ? and a waist wo to probe at least a portion of a substrate having a reflecting surface that has been exposed to the sample.

Abstract: A surface profile measuring method using a broad bandwidth light source illuminating a sample surface and a reference surface through a splitter is provided. By changing a distance between the sample surface and the reference surface with a constant step, an interference diagram with a waveform composed of interference data points depicting a relationship of surface height versus illumination intensity is generated. In the beginning, a first data point with greatest illumination intensity is selected from the interference data points on the waveform. Then, a second data point is selected from the data points on the waveform within a predetermined range centered at the first data point to have the waveform showing best quality of symmetry. Then, a peak of a fringe defined by the second data point and its neighboring data points is estimated by using phase compensating approach.

Abstract: A method including comparing information derivable from a scanning interferometry signal for a first surface location of a test object to information corresponding to multiple models of the test object, wherein the multiple models are parameterized by a series of characteristics for the test object. The derivable information being compared may relate to a shape of the scanning interferometry signal for the first surface location of the test object.

Abstract: A method for determining a spatial property of an object includes obtaining a scanning low coherence interference signal from a measurement object that includes two or more interfaces. The scanning low coherence interference signal includes two or more overlapping low coherence interference signals, each of which results from a respective interface. Based on the low coherence interference signal, a spatial property of at least one of the interfaces is determined. In some cases, the determination is based on a subset of the low coherence interference signal rather than on the entirety of the signal. Alternatively, or in addition, the determination can be based on a template, which may be indicative of an instrument response of the interferometer used to obtain the low coherence interference signal.

Abstract: In one embodiment, an interferometer system comprises an unequal path interferometer assemble comprising; a first reference flat having a first length L1 in a first dimension, a second reference flat having a second length L2 in the first dimension, a cavity D1 defined by a distance between the first reference flat and the second reference flat, and a receptacle to receive an object in the cavity such that an optical path remains open between the first reference flat and the second reference flat, and a radiation targeting assembly to direct a collimated radiation beam to the interferometer assembly, a radiation collecting assembly to collect radiation received from the interferometer assembly, and a controller comprising logic to; vary a wavelength of the collimated radiation beam, record interferograms formed by a plurality of surfaces, extract phases of each of the interferograms for each of the plurality of surfaces to produce multiple phase maps, and determine each phase map from its corresponding interf

Abstract: A shape measuring apparatus for measuring the shape of a measurement target surface includes an interferometer and computer. The interferometer senses interference light formed by measurement light from the measurement target surface and reference light by a photoelectric converter, while changing the light path length of the measurement light or the reference light. The computer Fourier-transforms a first interference signal sensed by the photoelectric converter to obtain a phase distribution and an amplitude distribution, shapes the amplitude distribution, inversely Fourier-transforms the phase distribution and the shaped amplitude distribution to obtain a second interference signal, and determines the shape of the measurement target surface based on the second interference signal.

Abstract: Disclosed is an interferometry analysis method that includes comparing information derivable from multiple interferometry signals corresponding to different surface locations of a test object to information corresponding to multiple models of the test object, wherein the multiple models are parametrized by a series of characteristics that relate to one or more under-resolved lateral features of the test object; and outputting information about the under-resolved surface feature based on the comparison.