Abstract: Interferometric method and apparatus for measuring aspheric surfaces and wavefronts by directing a spherical wavefront of known design at a wavelength &lgr;1 at a reference sphere with known measured surface properties to generate a first electronic signal containing information about the optical path differences between the reference and measurement wavefronts generated an interferometer and directing an aspherical wavefront of known design at a wavelength &lgr;2 at an aspherical surface or wavefront to be tested to generate a second electronic signal containing information about the optical path differences between the reference and measurement wavefronts generated by the interferometer.

Abstract: Interferometric scanning method(s) and apparatus for measuring rotationally and non-rotationally symmetric test optics either having aspherical surfaces or that produce aspherical wavefronts. A spherical or partial spherical wavefront is generated from a known origin along an optical axis. The test optic is aligned with respect the optical axis and selectively moved along it relative to the known origin so that the spherical wavefront intersects the test optic at the apex of the aspherical surface and at radial positions where the spherical wavefront and the aspheric surface intersect at points of common tangency.

Abstract: A method with a traceable calibration for reducing the uncertainty in the precision measurement of aspheric surfaces and wavefronts. A transmission sphere is mounted in an interferometer and its emergent wavefront is calibrated by comparing it to an optical sphere that is moved and sampled in a predetermined manner to make it act like a substantially “perfect” sphere mounted on a slideway. Afterwards, the calibrated wavefront from the transmission sphere is used to measure a spherical artifact mounted on the slideway to calibrate its surface. A transmission asphere is then mounted in the interferometer, and its emergent wavefront is calibrated by comparing it to the calibrated spherical artifact mounted on the slideway. The calibrated aspheric wavefront from the interferometer is then used to measure an aspherical artifact mounted on the slideway to determine is surface shape.

Abstract: An optical sphere of nominal radius is positioned and supported within an assembly so that is can be activated with a predetermined motion with respect to an incoming converging spherical wavefront from an interferometer to calibrate the interferometer by determining the differences between the converging spherical wavefront and the reflected wavefront from portions of the area of the optical sphere as sampled thereover. The nominal optical sphere supported and sampled in this way mimics a “perfect” comparison sphere from which the systematic error of the interferometer wavefront may be determined. The optical sphere is preferably hollow and composed of Zerodur®. Internal magnets in conjunction with external induction coils provide motion control while the optical sphere is mounted on an air bearing for freedom of rotation and safety in transportation.

Abstract: Interferometric apparatus and methods by which aspheric surfaces and wavefronts may be precisely measured. The apparatus is provided with two modes of operation. In one mode, the apparatus is configured generally as a Fizeau interferometer in which an aspheric reference surface is used to permit the rapid, robust measurement of the difference between the aspheric reference surface and an aspheric test optic or wavefront. In another mode of operation, the aspheric test surface itself is completely characterized through in-situ use of an interferometric scanning technique using a spherical reference surface.

Abstract: Interferometric scanning method(s) and apparatus for measuring rotationally and non-rotationally symmetric test optics having spherical, mildly aspherical and multiple, mildly aspherical surfaces. At least a partial spherical wavefront is generated from a known origin along a scanning axis through the use of a spherical reference surface positioned along the scanning axis upstream of the known origin. A test optic is aligned with respect to the scanning axis and selectively moved along said scanning axis relative to the known origin so that the spherical wavefront intersects the test optic at the apex of the aspherical surface and at one or more radial positions where the spherical wavefront and the aspheric surface intersect at points of common tangency to generate interferograms containing phase information about the differences in optical path length between the center of the test optic and the one or more radial positions.

Abstract: Interferometric scanning method(s) and apparatus for measuring rotationally and non-rotationally symmetric test optics either having aspherical surfaces or that produce aspherical wavefronts by comparing known and unknown spherical and aspherical shapes.. Preferably, a spherical or partial spherical wavefront or reflecting surface is defined with respect to a known origin along a scanning axis. The test optic is aligned with respect the scanning axis and selectively moved along it relative to the known origin so that the spherical shape intersects the test optic at the apex of the aspherical shape and at radial positions where the spherical shape and the aspheric shape intersect at points of common tangency.

Abstract: The invention relates to measuring a phase-modulated signal 5. The signal is measured along at least five different steps (P1-P5) corresponding to preselected phase angles of the carrier wave 4. From the associated sets of measured values, at least three sets of measured values are formulated in a manner that from each of the sets a phase value [.phi..sub.i =arctan (Z.sub.i /N.sub.i) where i is equal to or greater than 3] can be calculated. The same correct phase value is computed based upon these three sets for a signal with the frequency of the carrier wave. The essence of the invention is finding that linear combinations of a.sub.i Z.sub.i and a.sub.i N.sub.i can be used for the computation of an accurate phase measurement where the factors a.sub.i are selected so that the phase error, as a function of the preselected phase steps, has at least three zero positions among the measured phase steps (P1-P5). As a result, the systemic errors that normally accompany phase measuring are significantly reduced.

Abstract: The invention relates to an evaluation method for interferograms and an interferometer corresponding thereto with which tile influence of coherent noise is reduced with simultaneously high interference contrast. Several phase maps are computed from interferograms which are recorded with coherent light. The interferogram components of the test object and the interferogram components of the coherent noise are displaced relative to each other in the camera plane between recording the interferograms. The influence of the coherent noise is suppressed by subsequently averaging the phase maps.

Abstract: The present invention relates to a method for evaluating fringe images, in particular, for topographic measurements. During a first step, several phase-displaced patterns are recorded sequentially in time, and the respective phase relations of these patterns are determined by evaluation in the spatial domain (14a, 14b, 15). During a second step, after the phase shifts have been determined accurately in this manner based on the video images themselves, a pixel-by-pixel evaluation of the phase-displaced pattern is performed in the time domain. The invention also includes computer hardware for performing the evaluation of the strip images in video real time.

Abstract: Several bar patterns are projected in sequence on the object (O) to be measured by time-division multiplexing, and images of the bar patterns are recorded by a camera (K). The phases of each bar pattern, as distorted by the object, are calculated for preselected image points by a computer connected with the camera. For each image point, the calculated phases for one of said bar patterns are compared to the phases calculated for at least one other of said bar patterns, thereby producing a beat frequency which can be used to determine height measurements in the direction of the camera axis (z). In order to increase the range of the height measurements, at least two beat frequencies of quite different effective wavelengths are generated and evaluated. Different systems are disclosed for generating the different beat frequencies. In one embodiment, the bar patterns are projected by three different projectors (P.sub.1, P.sub.2, P.sub.3) which are inclined at different angles relative to each other (.alpha..sub.

Abstract: Two bar patterns are projected sequentially on the object (O) to be measured, e.g., by time-division multiplexing, at angles which are inclined toward each other. The bar patterns are produced by projectors having respective rectangular gratings. The periods of the gratings are the same, and the phase relationship of the gratings is fixed relative to each other. Each reflected bar pattern, as distorted by the surface of the object, is individually and sequentially recorded by a camera (K); and the bar phases (.psi..sub.1, .psi..sub.2) of each sequentially reflected bar pattern are calculated for each image point by a computer connected with the camera. The computer also computes the differences (.DELTA..psi.) between the bar phases of the two projections for each image point. These phase differences remain stationary even when the bar patterns are moved relative to the camera.

Abstract: A relatively simple interferometric method for the absolute testing of plane surfaces is disclosed, along with special apparatus for carrying out the inventive method. Two plane surfaces to be tested (A.sub.6,B.sub.6) are inserted simultaneously into the interferometer's measuring-beam path so that the measuring beam is reflected from each plane surface at two respective and different incident angles (.alpha., .beta.). During successive steps, the plane surfaces (A.sub.6,B.sub.6) are angularly repositioned and shifted so that at least one of the incident angles (.alpha., .beta.) is changed. Interferograms are recorded during each step and analyzed mathematically.

Abstract: The invention relates to an optical rangefinding device which consists of two frequency-stabilized multi-mode lasers. Two modes of each laser are superimposed so that each laser generates its own respective amplitude-modulated beam; and each beam is used, alternately, as the measuring light beam. The amplitude-modulation frequencies are selected so that the electronic detection of the two amplitude-modulated light beams, followed by electronic mixing of the individually detected signals, generates an electronic pulse train having a difference frequency which is only a fraction of the two modulation frequencies. The emitted and reflected frequencies of each of these amplitude-modulated beams are phase-compared. Each of these phase comparisons and the difference between them are used to determine distance to the target.

Abstract: The injection current for a laser diode is modulated so that a pregiven coherence function is obtained which drops off continuously at both ends outside of the coherence length. Several laser diodes are used for a very short coherence length for which the modulated wave numbers of the emitted radiation follow one another or overlap.

Abstract: For generating several interferograms which differ from each other in the relative phase position between the interfering partial beams, a light source is utilized having a coherence length less than the optical path difference between the two component beams in the measuring path of the interferometer. Furthermore, at least one optical delay device is provided which splits the beam into two component beams and which generates an optical path difference between these component beams which is approximately the same as the optical path difference of the partial beams in the measuring path of the interferometer. Thereafter, the delay device again unites the component beams congruently.