In general, in one aspect, the invention features an apparatus that includes an interferometer having a main cavity and an auxiliary reference surface, the main cavity including a partially reflective surface defining a primary reference surface and a test surface. The interferometer is configured to direct a primary portion of input electromagnetic radiation to the main cavity and an auxiliary portion of the input electromagnetic radiation to reflect from the auxiliary reference surface, wherei...

A method and apparatus for distance measurement includes an optical interferometer, a two-color source characterized by a synthetic wavelength, and processing means for acquiring and analyzing phase information. The synthetic wavelength, which corresponds to the spatial period of phase coincidence in two-color interferometry, is commonly used in metrology to increase the unambiguous distance-measurement range. The invention provides a greatly enhanced unambiguous measurement range, for a given s...

An interferometric surface profiler implements a lenslet array to accommodate a large field of view (FOV) without a corresponding loss in light efficiency. Using the lenslet array, the optical surface profiler multiplexes the measurement of an interference phase over multiple spots on a measurement surface, with each spot corresponding to an element of the lenslet array. The FOV of the profiler corresponds to the area of the measurement surface spanned by the spots, and each lenslet element prov...

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-d...

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-d...

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...

In some aspects, the invention relates to methods and systems for creating apodized periodic structures, such as apodized gratings in fibers. To create the periodic structures, a photosensitive medium is exposed to a spatially-varying radiation pattern. During the exposure, the position of the radiation pattern can oscillate with the respect to the photosensitive medium, thereby changing the average local refractive index of the medium. These methods and systems may be used to create regular str...

A method including: generating a sequence of phase-shifted interferometry images of an object surface relative to a reference surface; and calculating an unequally weighted average of the phase-shifted interferometry images to produce a final image. The final image can be useful as a lateral metrology image. The method may further include calculating a surface topography image from the sequence of phase-shifted interferometry images. Embodiments further include apparatus related to the method.

A method including: providing a coherence profile and a phase profile derived from interferometry data for a test surface; calculating a phase gap map, wherein the phase gap map is related to a difference between the coherence profile and the phase profile; fitting an expression including a term based on the coherence profile to the phase gap map; and determining a height profile for the test surface using information derived from the fit.

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...