I am working with the HOM interferometer, in which an indistinguishable pair of photons (produced from Spontaneous parametric down conversion) show bunching behavior on a balanced beam splitter. It is characterized by a fall in the coincidence counts, notably known as the HOM curve. The width of this HOM curve is the region over which the two photons involved in the interference are indistinguishable or in coherence with each other. So, It can be concluded that this width is inversely proportional to the spectral bandwidth of the indistinguishable bunching on the beam splitter. I repeated this experiment many times by selecting photons of different spectral bandwidths (by using narrow bandpass filters of the different bands). I found as the spectral bandwidth of the indistinguishable photons increases, the width of the HOM curve decreases. Although the two parameters (spectral bandwidth and dip width) follow an expected trend, I am not able to find an exact mathematical relationship between the two.
But I am not able to find a relationship between the
There is no direct formula that relates the width of the HOM dip and the spectral bandwidth of indistinguishable photons, the two parameters are related through the coherence time of the photons. As the spectral bandwidth of the photons increases, the coherence time decreases and the width of the HOM dip decreases, but the exact relationship depends on the specific experimental setup and other factors.
Thank you, Muhammad Nouman for the answer. I also didn't find any exact relationship between the two parameters. Actually, I want to know the spectral bandwidth of the indistinguishable photons. Could you suggest some reference text on calculating the spectral bandwidth of indistinguishable photons from the width of the HOM dip?
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