# US 10,502,609 B2 · Interferometric measurement of liquid volumes > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 10,502,609 B2 - Document ID: US10502609B2 - Status: Granted - Kind: B2 - Application number: 16/126,090 - Filed: 2018-09-10 - Published: 2019-04-11 - Granted: 2019-12-10 - Earliest claimed: 2014-08-12 - Applicants: Hans-Christian Luedemann - Inventors: Hans-Christian Luedemann - Web page: https://patentgrep.com/patent/US10502609B2 ## CPC - G01F 23/292: Light {, e.g. infrared or ultraviolet} - G01B 9/0209: Low-coherence interferometers - G01B 11/00: Measuring arrangements characterised by the use of optical techniques - G01F 23/2928: {using light reflected on the material surface} - G01F: MEASURING VOLUME, VOLUME FLOW, MASS FLOW OR LIQUID LEVEL; METERING BY VOLUME - G01B: MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS ## Abstract An apparatus and method for the accurate and non-invasive measurement of the volume of liquid samples by optical interferometry. Small volumes of liquid samples are often contained in and partially fill the wells of a microplate. A low-coherence interferometric ranging system is used to determine the topography of the sample surface exposed by each well. The surface topography, together with the measured, or otherwise known, dimensions of the well, determine the volume of the liquid sample. Embodiment options include confining the optical beams of the interferometer to optical fiber and varying the optical-path length by piezo-electric stretching of a portion of the fiber. Other embodiment options include automation of data collection by stepping the microplate beneath the interferometer, pixelating the optical beam of the interferometer and scanning the microplate by scanning the sample beam of the interferometer with a mirror. Uniformity of the microplate wells is not required. ## Claims ### Claim 1 A system for measurement of the elevation of a free surface of a liquid sample above a support surface, wherein the liquid sample is held by the support surface, the system comprising: a low-coherence optical interferometer that is configured to determine the distance to a point on the free surface of the liquid sample, wherein the support surface is positioned at a known distance from the interferometer; and an analysis unit that is configured to calculate the elevation of the free surface of the liquid sample above the support surface from a difference of the known distance of the support surface from the interferometer and the determined distance to the point on the free surface of the liquid sample. ### Claim 2 (depends on 1) The system of claim 1, wherein the support surface holding the liquid sample is the bottom surface of a container. ### Claim 3 (depends on 1) The system of claim 1, wherein the support surface holding the liquid sample is the bottom surface of a well in a microplate. ### Claim 4 (depends on 1) The system of claim 1, wherein the low-coherence optical interferometer comprises a sample beam and wherein the distance to the free surface of the liquid sample is determined by scanning the sample beam over the free surface of the liquid sample. ### Claim 5 (depends on 1) The system of claim 1, further comprising a translation stage that holds the support surface and is configured to move the support surface relative to the low-coherence optical interferometer. ### Claim 6 (depends on 1) The system of claim 1, wherein the system is further configured to determine the elevation of the free surface of the liquid sample above the support surface at a plurality of points. ### Claim 7 (depends on 6) The system of claim 6, wherein the low-coherence optical interferometer comprises an optical sample beam and an optical reference beam, wherein these beams interfere and give rise to at least one interference signal corresponding to at least one portion of the sample beam reflected at least one point on the free surface of the liquid sample, wherein this at least one interference signal is acquired by at least one individual pixel of an array detector, and wherein the elevation of the free surface of the liquid sample above the support surface at this at least one point is determined from this at least one interference signal. ### Claim 8 (depends on 6) The system of claim 6, wherein the analysis unit is further configured to use numerical extrapolation of the determined elevation of the free surface of the liquid sample above the support surface at a plurality of points to calculate the elevation of the free surface of the liquid sample above the support surface at additional points. ### Claim 9 (depends on 6) The system of claim 6, wherein the analysis unit is further configured to determine the volume of the liquid sample based on the elevation of the free surface of the liquid sample above the support surface at a plurality of points. ### Claim 10 A system for measurement of the elevation of a free surface of a liquid sample above a support surface, wherein the liquid sample is held by the support surface, the system comprising: a low-coherence optical interferometer that is configured to determine the distance to a measurement point on the free surface of the liquid sample, wherein the support surface is positioned at a known distance from the interferometer; a surface shape measurement module comprising a camera configured to acquire an interference image of a portion of the free surface of the liquid, wherein this portion includes the measurement point, and a shape calculation unit configured to calculate the shape of the free surface of the liquid from the interference image; and an analysis unit that is configured to calculate the elevation of the free surface of the liquid sample above the support surface at a plurality of points from a difference of the known distance of the support surface from the interferometer and the determined distance to the measurement point on the free surface of the liquid sample and the shape of the free surface of the liquid sample determined by the surface shape measurement module. ### Claim 11 (depends on 10) The system of claim 10, wherein the analysis unit is further configured to determine the volume of the liquid sample based on the elevation of the free surface of the liquid sample above the support surface at a plurality of points. ### Claim 12 (depends on 10) The system of claim 10, wherein the analysis unit is further configured to use numerical extrapolation of the determined elevation of the free surface of the liquid sample above the support surface at a plurality of points to calculate the elevation of the free surface of the liquid sample above the support surface at additional points. ### Claim 13 (depends on 12) The system of claim 12, wherein the analysis unit is further configured to determine the volume of the liquid sample based on the elevation of the free surface of the liquid sample above the support surface at a plurality of points. ### Claim 14 A system for measurement of the elevation of a free surface of a liquid sample above a support surface, wherein the liquid sample is held by the support surface, the system comprising: a low-coherence Michelson interferometer, comprising an optical sample beam that propagates along a sample beam path and an optical reference beam that propagates along a reference beam path, wherein the interferometer is configured to place a measurement point on the free surface of the liquid sample in the sample beam path, wherein the support surface is positioned at a known distance from the interferometer, and wherein the interferometer is configured to determine the distance to the measurement point; and an analysis unit that is configured to calculate the elevation of the free surface of the liquid sample above the support surface from a difference of the known distance of the support surface from the interferometer and the determined distance to the measurement point on the free surface of the liquid sample. ### Claim 15 (depends on 14) The system of claim 14, wherein the sample beam has a sample beam optical path length and interferes with the reference beam, giving rise to an interference signal, wherein this interference signal is generated by varying the sample beam optical path length, and wherein the distance to the measurement point is determined based on this interference signal. ### Claim 16 (depends on 14) The system of claim 14, wherein the reference beam has a reference beam optical path length and interferes with the sample beam, giving rise to an interference signal, wherein this interference signal is generated by varying the reference beam optical path length, and wherein the distance to the measurement point is determined based on this interference signal. ### Claim 17 (depends on 14) The system of claim 14, wherein the sample and reference beams propagate inside optical fibers. ### Claim 18 (depends on 14) The system of claim 14, wherein the system is further configured to determine the elevation of the free surface of the liquid sample above the support surface at a plurality of points. ### Claim 19 (depends on 18) The system of claim 18, wherein the analysis unit is further configured to determine the volume of the liquid sample based on the elevation of the free surface of the liquid sample above the support surface at a plurality of points.