# GHz rate single photon counting

The fluorescent lifetimes of molecules used in biological applications tend to be in the sub-ns to a few ns timescale (let's say 0.8-4). The most direct methods to measure lifetimes typically involve gating (either explicit or via time correlations).

But this is horribly wasteful as information is discarded from those photons that did not come at a selected time. If you have a delicate sample, you can destroy it before you finish your measurement; if you have a rapidly varying process, the state can have changed before you've finished making the measurement.

What is the state of the art in sustained photon counting in the visible range (perhaps 450-600 nm), and is it at the level where one could reasonably time every photon without having to drop counting rates drastically below the fluorescence lifetime itself? The photophysics admits measurement of lifetime at a MHz rate (~100 photons at 10 ns intervals), but is it practical to actually do this?

Although there are a variety of options available for photon counting (PMTs, APDs, GaAsPs), it has been difficult for me to get an accurate picture of the speeds and limitations of various devices actually available, or of the physical limits to a certain type of detection scheme. For example, do PMTs suffer from blurred readout times due to the distribution of electron path lengths in the cascade? Do thermal effects render APDs useless for sustained high-rate readout even if they are small enough so that the capacitance isn't a major barrier for recharging? (Or is capacitance impossibly bad for GHz rates even with really tiny e.g. 100 um square devices?)

• What part of the spectrum are you talking about? – user4552 Jul 25 '13 at 15:31
• @BenCrowell - Oops, forgot to mention--fixed now. (The middle of the visible range.) – Rex Kerr Jul 25 '13 at 17:03
• Do you mean something like fluorescence lifetime imaging (FLIM)? – Eekhoorn Aug 1 '13 at 8:06
• @biologue - Yes, the application would be FLIM. (And/or temporal multiplexing.) – Rex Kerr Aug 1 '13 at 16:06

As of February 2016 there are two ways to actually count photons at more than GHz rates that are affordable and technically sound. Technology has moved on, as opposed to over-specsmanship bluster. Hamamatsu makes a Hybrid tube R10467U-40 with 45% QE in the visible and the ability to count photons at multiple GHz rates. This has been accomplished for LIDAR using a doubled YAG laser at NPS. Lidar signals are a combination of exponential decay and 1/R^2, and the Hybrid tube is excellent for decreasing signals. This is similar to fluorescence decay but more difficult because of the large dynamic range and extremely varying signal. Hamamatsu has another tube that will also allow sustained GHz counting that would work but is not as adapted to this application.

There is literature on the last page of the following web link that compares the strengths and weaknesses of various detectors under About Photon Counting. Manufacturers tend not to point out the weaknesses of various detectors, but this article does based on 40 years of experience.

http://www.photoncounting.net/

A new interface digital output to the Hybrid tube has been developed and tested recently. The photon counter in the link can do 250 ps bins by using all four channels, or one can pay 10x as much and get slightly better bin resolution. Two of the amplifiers in the link would allow 2 GHz photon counting.

Unlike electron multipliers, the Hybrid tube can recover from a large signal in a nanosecond with no decay tail. Measuring fluorescent lifetimes accurately would best be served by collecting large numbers of photons rather than measuring their arrival time to a few picoseconds, and 10 MHz photon counting would have difficulty doing this. The Ghz photon counting technique is a vast improvement over the 20,000 rpm ultra-centrifuge light chopper technique I have used to measure sub-nanosecond decay lifetimes with a PMT in the dark ages.

Total cost for a GHz system, assuming one has a digital oscilloscope, should be less than four thousand dollars. Most companies do not publish their prices anymore for the photon counters. Two companies that make ultra fast systems are:

http://www.fastcomtec.com/products/ultra-fast-photon-counters.html

and

http://www.becker-hickl.de/

These Photon counters tend to be expensive - 5000 EU to 15,000 EU. The excellent literature at Becker-hickl describes measurements of the Hybrid tube and techniques for fluorescence decay.

There now are affordable digital logic chips available with 30 picosecond rise times and over 10 GHz toggle rates. It is time for an update to this question.

• This is a great resource of information, just what I was looking for when I asked the question! (Though the technology didn't really exist in polished form when I asked.) Thanks! – Rex Kerr Mar 5 '16 at 21:59

A scheme used by several current particle physics detectors can almost certainly be made to work (though it generally involves custom high-speed electronics which is pretty expensive; perhaps a small system can get away with just a good FPGA...).

The basic scheme is to continuously digitize the output of the primary detectors (PMTs or whatever) into a circular buffer of circular buffers. The two instances of this system I've worked with used ADC widths of $8$--$32\,\mathrm{ns}$, but there is nothing special about that: you could get down to around 1 ns pretty easily and circa $0.1\,\mathrm{ns}$ should be possible.

At the electronics level the primary signal is pre-amplified (if needed/desired, often the primary detector gain is sufficient), and split to (at least) the trigger and the digital electronics.

The digital electronics are backed by $N$ circular buffers of $M$ samples each. Each buffer also maintains pointers to the start and end of the recently written data. At any given time the system is working on sample $m \in [0,M)$ of buffer $n \in [0,N)$; the sample is written and the working sample is advanced $m := (m + 1) \bmod M$. In the event that no trigger occurs the system is allowed to continuously overwrite "uninteresting" data as $m$ cycles through the whole range.

When a trigger occurs, the system advances the buffer $n := (n+1) \bmod N$ so that the most recent buffer(s) will not be overwritten.

The data acquisition system can then readout the latched buffers as time is available and reconstruct the "interesting" parts of the signal. (If you need to know what the "uninteresting" parts of the signal look like you can always generate a false trigger to latch the "nothing"; this is called a "minimum bias" or "random" trigger and you generally do need one.)

The size of the individual buffers is chosen to insure that the whole signal should be in a single latched window. The number of buffers you need depends on the expected rate and the readout latency. You need some scheme to deal with triggers than come so close together that the "next" buffer still contains stale data (only partially overwritten), and other issues that I'm sure you can see for yourself if you think about it.

This does not necessarily count photons, it allows you to approximately reconstruct the analog signal from the detector with a time-like granularity on order of the sample width. So you can't necessarily tell the difference between say two green photons in close coincidence and one near UV photon, but this is often good enough.

I suspect that high-speed capturing oscilloscopes do something similar internally.

• This is definitely part of the solution (+1), but fortunately one can buy ADC cards that do exactly this with $M=2$ while presenting the already-written half of the data for FPGA processing. But if the upstream detectors don't produce an appropriate analog signal it's of no use--you really do have to count photon arrival times for this to work, which means that you have to count photons. – Rex Kerr Jul 25 '13 at 17:01
• Rex, we get two-signal discrimination on a time scale of 2 ADC bins, and single peak timing a rather better than 1 ADC bin. Don't know if that's good enough. – dmckee --- ex-moderator kitten Jul 26 '13 at 0:24
• That is good enough, and that is what I would expect with appropriate detectors. But which detectors are appropriate? Choosing between APDs, PMTs, HPDs, etc. seems nontrivial, and making the wrong choice seems like it could hurt one by a factor of 2 or more in a regime where factors of 2 are really important. – Rex Kerr Jul 26 '13 at 15:31
• I really only know PMTs well. You can get good multiple pulse behavior, but you will pay for it. Especially if you also want high gain (10 millionish). You could also consider MCPs with fine grained instrumentation---the odds of getting two hits on a single detector go down if you have a lot of independent channels. – dmckee --- ex-moderator kitten Jul 26 '13 at 16:02
• Don't PMT's have serious dark current issues (unless cryogenically cooled)? – Antillar Maximus Jul 27 '13 at 16:38