Theoretical and experimental analyses have been performed to examine the position resolution of a proportional counter with a 7-microm diameter carbon fiber as a resistive anode, which is used to encode one-dimensional positions of incident photons according to the charge-division method. These analyses have clearly shown that the carbon fiber is applicable to the position sensing of the order of 100-200 microm as long as the filled gas is pressurized at near 10 atm.
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