Fourier Transform MW spectroscopy in a FB cavity

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SUMMARY

The discussion centers on Fourier Transform microwave (MW) spectroscopy in a Fabry-Pérot (FB) cavity, highlighting its similarity to normal Nuclear Magnetic Resonance (NMR) techniques. The application of a MW π/2 pulse creates a linear superposition of two energy levels, resulting in an oscillating dipole that emits energy, which is amplified by the FB cavity and detected as a free induction decay signal. The conversation also addresses the complexity of calculating the initial power of the MW pulse, factoring in the cavity's finesse to achieve the desired π/2 pulse. The need for precise power calculations is emphasized to ensure accurate measurements.

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  • Understanding of Fourier Transform techniques in spectroscopy
  • Knowledge of microwave pulse sequences, specifically π/2 pulses
  • Familiarity with Fabry-Pérot cavity design and finesse
  • Basic principles of Nuclear Magnetic Resonance (NMR)
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  • Research the principles of Fabry-Pérot cavity finesse and its impact on MW spectroscopy
  • Study the generation and application of π/2 microwave pulses in spectroscopy
  • Explore advanced Fourier Transform techniques in NMR and their applications
  • Investigate methods for calculating power requirements in cavity-enhanced spectroscopy
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Researchers and practitioners in the fields of spectroscopy, particularly those focusing on microwave techniques, as well as physicists and chemists interested in advanced NMR applications and cavity design.

kelly0303
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Hello! I am reading about Fourier Transform MW spectroscopy in a FB cavity, which seems to be quite an old technique and I want to make sure I got it right.

As far as I understand, this is very similar to normal NRM, i.e. one applies a MW ##\pi/2## pulse which puts the molecules in a linear superposition of 2 levels. This acts as an oscillating dipole which emits energy, and this energy is readout (and amplified by the FB cavity) as a decaying oscillating signal (basically free induction decay signal). From there, doing a FT gives you the frequency of the transition being measured. Is this what is going on?

One thing that I am not totally sure I get, is how do you produce the ##\pi/2## pulse? Unlike non FB case, in this case the MW energy you put in the cavity stays there for a while, and its power gets reduced until it is basically all gone (this depends on the finesse of the cavity). So the molecules see the initial pulse multiple times, as it bounces back and forth between the 2 mirrors.

Does this mean that one needs to calculate the exact initial power needed, accounting for the finesse of the cavity, such that the integral of the (time varying) power of the MW radiation inside the cavity times the time it takes for it to be dissipated to be exactly ##\pi/2##? Or is there some simpler way of doing it and I am overcomplicating the situation.
 
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Sorry I don't think anyone here can guess what kind of system you have in mind. Can you link us to a paper you read, or whatever got you thinking about this topic?
 

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