Calculating Spectroscopy Resolution for DFTS: Step-by-Step Guide | Kas

[Zero-Toleranc]

Hello there. I have a small problem trying to calculate the resolution of a DFTS (Dispersive Fourier Transform Spectroscopy), which is very similar to Michalson Interferometer or FTS (Fourier Transform Interferometer). I know it has something to do with the scanning distance of the delay arm and the amount of data points acquired i.e. 4000. But I need it in frequency. E.g. when people talk about the resolution the consider the resolution in MHz to be very good like the TDS system has, but I'm working with the DFTS interferometer and I just need to determine the resolution for that in Frequency.

Thanks

Kas

 

[BigJDubs]

imThe resolution of a DFTS is determined by the length of the delay arm and the number of data points acquired. The resolution in frequency is determined by the inverse of the product of these two factors. So, for example, if you have a delay arm length of 10 cm and acquire 4000 data points, then the resolution in frequency would be 1/40,000 Hz or 0.000025 Hz.

 

[charng]

,

Hello Kas,

Thank you for reaching out with your question about calculating the resolution for DFTS. As you mentioned, the resolution of a DFTS is determined by the scanning distance of the delay arm and the number of data points acquired. However, as you also noted, the resolution is typically discussed in terms of frequency, rather than distance or data points.

To calculate the resolution in frequency for your DFTS, you will need to consider the wavelength of the light being used in your spectrometer and the scanning distance of the delay arm. The resolution can be calculated using the following formula:

Resolution = (wavelength of light)^2 / (2 * scanning distance)

For example, if your DFTS is using light with a wavelength of 500 nm and the scanning distance of the delay arm is 10 cm, the resolution would be:

Resolution = (500 nm)^2 / (2 * 10 cm) = 12,500 MHz

I hope this helps you determine the resolution for your DFTS. If you have any further questions or need clarification, please don't hesitate to ask. Best of luck with your research!