A method for calibrating an optical spectrograph image processing that has physical properties and a detector array positioned on a focal plane of the spectrograph image processing and having a horizontal plane and a predetermined pixel in the horizontal plane number located in pixel coordinates (n), comprising the steps of: detecting a spectrum of a known source; refer to a table of wavelengths known emission lines and relative intensities known, or Raman vibration frequencies and relative intensities known, or known intensity spectrum from the NIST calibrated intensity standard; and deriving an optical spectrograph model image processing, said parameters model spectrograph model based on the physical properties of the optical spectrograph image processing, for approximating the spectrum detected; characterized in that said pattern of optical spectrograph image processing follows using a technique of setting function that operates in a space intensity where the number of observables is always equal to the number of pixels in the horizontal plane and being greater the number of pixels the number of parameters of model variables; wherein said calibration method of an optical spectrograph image processing comprising the further steps of: forming an intensity function including said model parameters spectrograph, whereby said intensity function describes the spectrum to be measured by the optical spectrograph image processing as detects the array detector and refining said model parameters spectrograph with a residual function to minimize residual difference between spectral intensities detected and spectral intensities calculated based on said intensity function, representing a correlation wavelength to pixel location.
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