Registration Probabilities and Pulse-Height Distributions of Coincidences in Optical Particle Counters

Figures & data

FIG. 1 Measured concentration dependency on loading: a—in accordance with Equation (3); b—in accordance with Pisani and Thomson's Equation (5).

FIG. 2 Doublet registration probability for two types of particle counters: R ₂—for counter with the choice of the first maximum of a photodetector's signal for counting (Equation (11)); R′₂—for counter with the choice of the global maximum of a photodetector's signal for counting (numerical calculation).

FIG. 3 Pulse-height probability density functions for counter with square response pulses; mean number of particles in the view volume μ=1; bold line—counter resolution 10%; dotted line—counter resolution 20%.

FIG. 4 Isosceles triangular pulse approximation: (a) CPC counter photodetector pulse, (b) superposition of two isosceles triangular pulses for z < τ/2, (c) superposition of two isosceles triangular pulses for z > τ/2 (see the text).

FIG. 5 Doublet pulse-height probability density functions of counter with isosceles triangular pulses; mean number of particles in the view volume μ=1: 1—counter resolution 5%, 2—counter resolution 10%, 3—counter resolution 20%, 4—counter resolution 30%.

FIG. 6 Doublet pulse-height probability density functions of counter with isosceles triangular pulses; mean number of particles in the view volume μ=3: 1—counter resolution 5%, 2—counter resolution 10%, 3—counter resolution 20%, 4—counter resolution 30%.

FIG. 7 Doublet pulse-height probability density functions of counter with Gaussian pulses; mean number of particles in the view volume μ=0.05: 1—counter resolution 5%, 2—counter resolution 10%, 3—counter resolution 20%, 4—counter resolution 30%.

FIG. 8 Doublet pulse-height probability density functions of counter with Gaussian pulses; mean number of particles in the view volume μ=1: 1—counter resolution 5%, 2—counter resolution 10%, 3—counter resolution 20%, 4—counter resolution 30%.