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Frequent Asked Questions about x2 technology

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What is x2 technology?

Conventional cross correlator measures cross correlation function, <A(t)B(t+T)>, where T >0, A(t), B(t) are two fluctuating input signal.  A correlator with x2 technology measures <A(t)B(t+T)> and <B(t)A(t+T)> simultaneously.  This is equivalent to measuring <A(t)B(t+T)> for T in both positive and negative domain.

x2 technology is relevant only to cross correlation function measurement.   It is especially beneficial to those who measure short time autocorrelation function using pseudo-cross correlation function techniques to overcome detector imperfections.

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When and why are <A(t)B(t+T)> and <B(t)A(t+T)> statistically independent?

When the signal is shot noise dominated, <A(t)B(t+T)> and <B(t)A(t+T)> are statistically independent.  For example, consider a photon pair where a photon arrive at channel B before another photon arrive at channel A.  This pair contributes to <A(t)B(t+T)> but not <B(t)A(t+T)>.  On the other hand,  if the photon arrives at channel B before another photon arrive at channel A, the pair will contribute to <B(t)A(t+T)> but not <A(t)B(t+T)>. 

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Under what circumstances x2 technology improves measurement efficiency?

When the signal is shot noise dominated, x2 technology improves the measurement efficiency by a factor of two. 

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Why is x2 technology especially beneficial for short time correlation function measurements?

Short time correlation function measurements are always limited by the photon shot noise.  For example, at 100KHz average intensity in each channel (channel A and B) and a 12.5ns sample time, the average number of photons per sample time is 0.00125.   Because only a photon pair (one photon from channel A and one photon from channel B) contributes to 2nd order correlation function, this means, on average, one contribution per 8ms.  To average over 10^6 events, the measurement time for a conventional correlator will be 8000 seconds, or 2.2 hours.

With x2 technology, the measurement time is cut by half to achieve the same statistics.   This is because <A(t)B(t+T)> is statistically independent from <B(t)A(t+T)>, and yet both represent the same physics. 

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What about the prices and availability?

We announce products when they are actually available.  There are three models with x2 technology.  Flex2K-12x2 is available now.  It's a fast (12.5ns) multiple tau digital correlator with x2 technology.  The price is $5,500.  The lead time is about two weeks.  Flex2K-09x2 and Flex2K-07x2 are available for orders.   The prices are $6,500 and $8,500.  The delivery time is approximately 8 weeks.

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Last modified: October 25, 2006