Function to fit the light transmitted from a cavity

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SUMMARY

The discussion centers on fitting a function to the light transmitted from a bow-tie cavity, which exhibits a peak resembling a combination of a Lorentzian function, an exponential decay, and oscillations. Participants emphasize the importance of selecting a fitting function that corresponds to physically meaningful parameters rather than merely achieving a visually appealing curve. The conversation suggests that theoretical calculations related to the measured quantity should guide the choice of fitting function for accurate representation.

PREREQUISITES
  • Understanding of Lorentzian functions
  • Knowledge of exponential decay models
  • Familiarity with curve fitting techniques
  • Basic principles of optical cavity measurements
NEXT STEPS
  • Research fitting techniques for Lorentzian functions in scientific data analysis
  • Explore exponential decay modeling in optical systems
  • Learn about theoretical calculations relevant to optical cavity measurements
  • Investigate software tools for curve fitting, such as MATLAB or Python's SciPy library
USEFUL FOR

Researchers and engineers working in optics, particularly those involved in cavity measurements and data analysis, will benefit from this discussion.

kelly0303
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Hello! I measured the light transmitted from a bow-tie cavity (while scanning the cavity length) and the peak obtained while scanning has the shape in the figure below. It is basically a combination of a Lorentzian, with an exponential decay on the right side and some oscillations on top. What function should I use to fit this? Thank you!

cavity_output.png
 
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There should be a reason for fitting something to curve (unless you just want a pretty smooth line, then just use interpolation). For example, when parameters in the fitting function correspond to physically meaningful parameters. Do you know of any theoretical calculations of the quantity you are plotting? If so, I would plot to the function from that calculation. I'm not very familiar with these devices, so I can't be much help beyond that.
 

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