Unknown large linewidth of the fringes of a cavity

In summary, the issue is that when scanning the laser frequency in a bow-tie cavity, the peaks are wide and have a long tail to the right. However, when a 50 Ohm resistance is added between the BNC cable from the diode and the oscilloscope, the peaks become narrower and the tail is reduced. This is due to a resonant length of cable that is not correctly terminated, and the oscilloscope input being set to a high impedance. To solve this, it is recommended to add a voltage amplifier after the photodetector and adjust the gain to achieve a good signal-to-noise ratio without causing non-linear response. A SR560 voltage preamplifier from Stanford Research Systems is suggested,
  • #1
kelly0303
561
33
Hello! I am building a bow-tie cavity and for some reason the peaks I see when scanning the laser frequency are extremely wide and with a very long tail to the right. However, if I put a 50 Ohm resistance in between the BNC cable from the diode and the oscilloscope (using a BNC T connector) the peaks become narrow (as narrow as I would expect from the calculations) and the tail is significantly reduced (although not gone completely). Why is this happening? I expected that adding the 50 Ohm would reduce the amplitude (which happens, too), but why the linewidth? The issue is that now the amplitude is so much reduced that it is too small to send it to the servo, and if I don't use the 50 Ohm I have the original problem. Any advice would be appreciated. Thank you!
 
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  • #2
It seems you have a resonant length of cable that is not correctly terminated.
How long is the coax cable between the diode and the oscilloscope?
Please provide a diagram.
 
  • #3
Maybe the oscilloscope input is set to 1 MΩ or 10 MΩ input impedance. Current from the diode charges the coax cable capacitance, then it takes too long to discharge.
 
  • #4
Baluncore said:
Maybe the oscilloscope input is set to 1 MΩ or 10 MΩ input impedance. Current from the diode charges the coax cable capacitance, then it takes too long to discharge.
Thank you for your reply. The cable is about 50 cm long (normal BNC to BNC cable, also tried a few), I am not sure what diagram you mean.

The oscilloscope is indeed in the 1M##\Omega## impedance setup, but that is the impedance input to my servo, too (and I can't change it there). I was hoping to find a way for it to work with this impedance settings.
 
  • #5
If the diode is a current source, then you need to convert the current to a voltage for display and input to the servo. That should be done with a resistor, with or without a buffer amplifier. A diode detector current source has an infinite impedance, that will charge the coaxial line capacitance, which makes a low-pass filter when paralleled with the oscilloscope. The exponential decay recovery of the circuit gives it the long tail.

Try replacing the 50 ohm termination on the 'T' connector with a BNC having an R = 1k, or 10 k, resistor across the signal. R = signal voltage / signal current.

1. What type of diode detector do you use?
2. What signal current do you expect?
3. What type of 50 ohm coaxial cable is used?

4. What is the minimum input voltage to the servo detector?
5. To resolve the real line width, what response recovery time do you require?
 
  • Informative
Likes Twigg
  • #6
I had this same issue with a different kind of cavity, and solved it by adding a variable-gain voltage amplifier after the photodetector. (The "photodetector" in my case was a standard commercial photodiode + transimpedance amplifier in a single package.) I increase the gain until the servo locks well and I see good signal-to-noise on the error signal, but I make sure that the gain isn't so high that I see a non-linear response to changes in the optical power.

In my case, I used a SR560 voltage preamplifier from Stanford Research Systems. It's seriously overkill, and I used it because I had it on hand and couldn't be bothered to find anything else. You could make a much cheaper solution with any decent op amp and a potentiometer. If you go that route, make sure to keep your amplifier's output impedance well below the 1MOhm (or whatever) input impedance of your oscilloscope.
 

1. What causes the large linewidth of the fringes in a cavity?

The large linewidth of the fringes in a cavity is typically caused by a combination of factors, including imperfections in the cavity's mirrors, temperature fluctuations, and mechanical vibrations. These factors can cause the cavity's resonance frequency to shift, resulting in a larger linewidth.

2. How does the linewidth of the fringes affect the performance of a cavity?

The linewidth of the fringes can significantly impact the performance of a cavity. A larger linewidth can result in a lower quality factor (Q-factor), which affects the stability and precision of the cavity's output. It can also affect the cavity's ability to maintain a narrow bandwidth and produce a strong output signal.

3. Can the linewidth of the fringes be reduced?

Yes, the linewidth of the fringes can be reduced through various methods. One approach is to improve the quality of the cavity's mirrors, reducing imperfections that can cause shifts in resonance frequency. Other methods include using active stabilization techniques, such as feedback control, to minimize temperature fluctuations and mechanical vibrations.

4. How is the linewidth of the fringes measured?

The linewidth of the fringes can be measured using a variety of techniques, including heterodyne detection, optical spectrum analysis, and Fabry-Perot interferometry. These methods involve measuring the width of the fringes at different points along the cavity's resonance curve and calculating the linewidth based on the data collected.

5. What applications rely on precise control of the linewidth of fringes in a cavity?

The precise control of the linewidth of fringes in a cavity is essential for various applications, including laser spectroscopy, optical communications, and quantum information processing. In these fields, a narrow linewidth is crucial for achieving high-resolution measurements, maintaining stable and accurate signals, and enabling efficient quantum operations.

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