Dual laser high precision interferometer
An absolute distance measuring device based on laser interferometry may combine coarse, intermediate, and highest resolution measurement techniques to find the absolute distance to a sample surface with high resolution. The device may provide at least two laser wavelengths simultaneously, to allow reduction or elimination of certain common-mode error components, including dynamic error components. The device may scan at least one of the laser wavelengths over a relatively narrow range and may use quadrature detectors to provide enough signal data to allow certain self-corrections to be performed on the resulting scanned signals and measurements. A novel tunable laser and/or quadrature detector may provide advantages in combination with the device.
1. A method for operating an absolute interferometer, comprising:
inputting a first scanned wavelength over a first wavelength range, and a second wavelength not included in the first wavelength range, to a sample interferometer beam path;
acquiring a plurality of respective data points over time as the first scanned wavelength is scanned, the plurality respective data points including a plurality of respective sample interferometer first-wavelength quadrature signal measurements, and at least one of the respective data points including a respective second-wavelength quadrature signal measurement;
correcting the plurality of respective sample interferometer first-wavelength quadrature signal measurements for dc offset and amplitude error components to provide a plurality of respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements;
determining a plurality of respective sample interferometer first-wavelength phase measurements based on the respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements;
analyzing a set of respective sample interferometer first-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective sample interferometer first-wavelength phase measurements, and to correct the phase error component to provide a set of at least one respective phase-corrected sample interferometer first-wavelength phase measurement;
correcting at least one respective sample interferometer second-wavelength quadrature signal measurement for dc offset and amplitude error components to provide at least one offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurement;
determining at least one respective second-wavelength phase measurements based on at least one respective offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurement;
determining at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength, each respective intermediate wavelength phase measurement being based on a respective sample interferometer second-wavelength phase measurement and a respective phase-corrected sample interferometer first-wavelength phase measurement;
determining a medium-resolution absolute distance measurement based on the at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength;
determining at least one respective fine wavelength phase measurement having a corresponding known respective wavelength of light, each respective fine wavelength phase measurement being based on one of a respective sample interferometer second-wavelength phase measurement that includes a correction for at least one error component and a respective sample interferometer first-wavelength phase measurement that includes a correction for at least one error component; and
determining a high-resolution absolute distance measurement based on the medium-resolution absolute distance measurement and the at least one respective fine wavelength phase measurement having a corresponding respective wavelength of light.
2. A method for operating an absolute interferometer, comprising:
inputting a first scanned wavelength over a first wavelength range, and a second scanned wavelength over a second wavelength range that does not overlap with the first wavelength range, to a sample interferometer beam path;
acquiring a plurality of respective data points over time as the first scanned wavelength and second scanned wavelength are scanned, the plurality respective data points including a plurality of respective sample interferometer first-wavelength quadrature signal measurements and a plurality of respective sample interferometer second-wavelength quadrature signal measurements;
correcting the plurality of respective sample interferometer first-wavelength quadrature signal measurements for dc offset and amplitude error components to provide a plurality of respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements;
determining a plurality of respective sample interferometer first-wavelength phase measurements based on the respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements;
analyzing a set of respective sample interferometer first-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective sample interferometer first-wavelength phase measurements, and to correct the phase error component to provide a set of at least one respective phase-corrected sample interferometer first-wavelength phase measurement;
correcting the plurality of respective sample interferometer second-wavelength quadrature signal measurements for dc offset and amplitude error components to provide a plurality of respective offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurements;
determining a plurality of respective sample interferometer second-wavelength phase measurements based on the respective offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurements;
analyzing a set of respective sample interferometer second-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective sample interferometer second-wavelength phase measurements, and to correct the phase error component to provide a set of at least one respective phase-corrected sample interferometer second-wavelength phase measurement;
determining at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength, each respective intermediate wavelength phase measurement being based on a respective phase-corrected sample interferometer second-wavelength phase measurement and a respective phase-corrected sample interferometer first-wavelength phase measurement;
determining a medium-resolution absolute distance measurement based on the at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength;
determining at least one respective fine wavelength phase measurement having a corresponding known respective wavelength of light, each respective fine wavelength phase measurement being based on one of a respective sample interferometer second-wavelength phase measurement that includes a correction for at least one error component and a respective sample interferometer first-wavelength phase measurement that includes a correction for at least one error component; and
determining a high-resolution absolute distance measurement based on the medium-resolution absolute distance measurement and the at least one respective fine wavelength phase measurement having a corresponding respective wavelength of light.
3. A method for operating an absolute interferometer, comprising:
inputting a first scanned wavelength over a first wavelength range, and a second scanned wavelength over a second wavelength range that does not overlap with the first wavelength range, to a sample interferometer beam path and to a reference interferometer beam path, the reference interferometer beam path providing a known reference length;
acquiring a plurality of respective data points over time as the first scanned wavelength and the second scanned wavelength are scanned, the plurality respective data points including a plurality of respective sample interferometer first-wavelength quadrature signal measurements, a plurality of respective sample interferometer second-wavelength quadrature signal measurements, a plurality of respective reference interferometer first-wavelength quadrature signal measurements, and a plurality of respective reference interferometer second-wavelength quadrature signal measurements;
correcting the plurality of respective sample interferometer first-wavelength quadrature signal measurements, the plurality of respective sample interferometer second-wavelength quadrature signal measurements, the plurality of respective reference interferometer first-wavelength quadrature signal measurements, and the plurality of respective reference interferometer second-wavelength quadrature signal measurements for dc offset and amplitude error components to provide a plurality of respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements, a plurality of respective offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurements, a plurality of respective offset-and-amplitude-corrected reference interferometer first-wavelength quadrature signal measurements, and a plurality of respective offset-and-amplitude-corrected reference interferometer second-wavelength quadrature signal measurements;
determining a plurality of respective sample interferometer first-wavelength phase measurements based on the respective offset-and-amplitude-corrected sample interferometer first-wavelength quadrature signal measurements;
analyzing a set of respective sample interferometer first-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective sample interferometer first-wavelength phase measurements, and to correct the phase error component to provide a set comprising a respective phase-corrected sample interferometer first-wavelength phase measurement;
determining a plurality of respective sample interferometer second-wavelength phase measurements based on the respective offset-and-amplitude-corrected sample interferometer second-wavelength quadrature signal measurements;
analyzing a set of respective sample interferometer second-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective sample interferometer second-wavelength phase measurements, and to correct the phase error component to provide a set of at least one respective phase-corrected sample interferometer second-wavelength phase measurement;
determining a plurality of respective reference interferometer first-wavelength phase measurements based on the respective offset-and-amplitude-corrected reference interferometer first-wavelength quadrature signal measurements;
analyzing a set of respective reference interferometer first-wavelength phase measurements that span at least 2π radians of phase shift to determine a phase error component in the plurality of respective reference interferometer first-wavelength phase measurements, and to correct the phase error component to provide a set of at least one respective phase-corrected reference interferometer first-wavelength phase measurement;
determining a phase change ratio corresponding to dividing a difference between respective phase-corrected sample interferometer first-wavelength phase measurements at respective wavelengths by a difference between respective phase-corrected reference interferometer first-wavelength phase measurements at the same respective wavelengths, based on the plurality of respective phase-corrected sample interferometer first-wavelength phase measurements and the plurality of respective phase-corrected reference interferometer first-wavelength phase measurements;
determining a coarse-resolution absolute distance measurement based on the determined phase change ratio and the known reference length;
determining at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength, each respective intermediate wavelength phase measurement being based on a respective phase-corrected sample interferometer second-wavelength phase measurement and a respective phase-corrected sample interferometer first-wavelength phase measurement;
determining a medium-resolution absolute distance measurement based on the coarse-resolution absolute distance measurement and the at least one respective intermediate wavelength phase measurement having a corresponding respective medium wavelength;
determining at least one respective fine wavelength phase measurement having a corresponding known respective wavelength of light, each respective fine wavelength phase measurement being based on one of a respective sample interferometer second-wavelength phase measurement that includes a correction for at least one error component and a respective sample interferometer first-wavelength phase measurement that includes a correction for at least one error component; and
determining a high-resolution absolute distance measurement based on the medium-resolution absolute distance measurement and the at least one respective fine wavelength phase measurement having a corresponding respective wavelength of light.