The scintillations in the fiber are distributed exponentially with a characteristic decay time <math>\tau</math> = 2.7 for [http://www.detectors.saint-gobain.com/Data/Element/Product/product.asp?ele_ch_id=P0000000000000001909 BCF-10/20]. Since the variance is <math>\tau^2</math> (and is additive over independent events) the time uncertainty for N generated photons becomes <math>\tau/N^{1/2}</math>. Thus, in order of priority, this relation implies | The scintillations in the fiber are distributed exponentially with a characteristic decay time <math>\tau</math> = 2.7 for [http://www.detectors.saint-gobain.com/Data/Element/Product/product.asp?ele_ch_id=P0000000000000001909 BCF-10/20]. Since the variance is <math>\tau^2</math> (and is additive over independent events) the time uncertainty for N generated photons becomes <math>\tau/N^{1/2}</math>. Thus, in order of priority, this relation implies |