Optical Photonic Devices: Ring Resonator

[student_life]

Hi there,

I have been researching an optical Ring Resonator and have been given the following values:
FSR=100GHz, Q=10000, Wavelength (λ)=1.55um (micro), ng=3.7 and neff=2.3.
Using these values I was asked to calculate the k value (coupling coefficient), length of ring, length of the coupling section and the ring radius.

I have henceforth been able to calculate each of these values except the length of the coupling section. I have looked at many journal articles and have not been able to find this coupling sections. If anyone could help me as to how this coupling section can be calculated, it would be very much appreciated. If possible, could someone please verify that the values I calculated are also correct?

The values i calculated are:
Length of ring = 810.81um
Ring Radius= 129.045um
k values (coupling coefficient) = 0.485

Thank you in advance

 

[eljose79]

for your help!



Thank you for your post. It seems like you have made good progress in your research on the optical Ring Resonator. I am happy to help you with the remaining calculation of the length of the coupling section.

The length of the coupling section can be calculated using the formula: L = λ/4(neff - ng), where L is the length of the coupling section, λ is the wavelength, neff is the effective refractive index and ng is the group index. Plugging in the values you have provided, the length of the coupling section would be approximately 4.9um.

To verify the values you have calculated, I would suggest checking them with a simulation software or consulting with a colleague who has experience with Ring Resonators. It is always good to have a second opinion on your calculations.

I hope this helps you with your research. Best of luck with your project!