Peak alignment for the wavelength calibration of a spectrometer

A system for wavelength calibration of a spectrometer, comprising:

• a controller configured to:
• receive a calibration light signal having a plurality of first spectral components of different first wavelengths;
• separate and project the first spectral components onto a plurality of pixels of a detector of the spectrometer simultaneously;
• establish a relation between the first wavelengths of the first spectral components and pixel numbers of first ones of the pixels on which the first spectral components are projected by constructing a curve that fits the first wavelengths of the first spectral components and the pixel numbers of the first pixels;
• calculate first residual errors between the first wavelengths and estimated wavelengths that are associated by the relation to the pixel numbers of the first pixels, respectively;
• calibrate a second wavelength of a second spectral component of an optical signal based on a second residual error;
• receive the optical signal;
• and
• project the optical signal onto at least a second one of the pixels of the detector,
• wherein the second residual error is calculated based on at least one of the first residual errors, and
• the second residual error is equal to one of the first residual errors that corresponds to one of the first pixels that has a smallest pixel number when a pixel number of the second pixel is smaller than the smallest pixel number, and is equal to another one of the first residual errors that corresponds to one of the first pixels that has a largest pixel number when the pixel number of the second pixel is larger than the largest pixel number.

A non-transitory computer-readable storage medium having stored therein instructions that, when executed by a controller, cause the controller to:

• establish a relation between different first wavelengths of a plurality of first spectral components of a calibration light signal and pixel numbers of first ones of a plurality of pixels of a detector of a spectrometer on which the first spectral components are projected simultaneously by constructing a curve that fits the first wavelengths of the first spectral components and the pixel numbers of the first pixels;
• calculate first residual errors between the first wavelengths and estimated wavelengths that are associated by the relation to the pixel numbers of the first pixels, respectively;
• calibrate, based on a second residual error, a second wavelength of a second spectral component of an optical signal that is projected onto at least a second one of the pixels of the detector;
• receive the optical signal;
• and
• project the optical signal onto at least a second one of the pixels of the detector,
• wherein the second residual error is calculated based on at least one of the first residual errors, and
• the second residual error is equal to one of the first residual errors that corresponds to one of the first pixels that has a smallest pixel number when a pixel number of the second pixel is smaller than the smallest pixel number, and is equal to another one of the first residual errors that corresponds to one of the first pixels that has a largest pixel number when the pixel number of the second pixel is larger than the largest pixel number.