### Abstract

A new approach using the Green function instead of the method of Fourier expansion is presented to determine the position charge relationship for radiation detectors employing a charge division on the resistive anode bordered by an additional resistive line. The resistive anode with a polygonal shape is considered as a general case. Theoretical consideration shows that the position of radiation incidence in the position sensitive detectors is represented in the integral form containing the Green function if the total charge generated in the detector is assumed to be collected over an infinite time. Anodes with the geometries of a triangle, square, circle or spherical triangle are described as practical shapes. It is shown that, when the shape of the anode is (spherical) triangular or square, the relationship between the position and charge is determined by a harmonic function obtained from a simple geometric consideration.

Original language | English |
---|---|

Pages (from-to) | 2162-2166 |

Number of pages | 5 |

Journal | Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers |

Volume | 32 |

Issue number | 5 S |

Publication status | Published - 1993 May |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*,

*32*(5 S), 2162-2166.

**General method to determine the position charge relationship for position sensitive detectors with variously shaped resistive anodes.** / Hasebe, Nobuyuki; Kiso, Kazuhiro; Kaneda, Eiji; Doke, Tadayoshi.

Research output: Contribution to journal › Article

*Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers*, vol. 32, no. 5 S, pp. 2162-2166.

}

TY - JOUR

T1 - General method to determine the position charge relationship for position sensitive detectors with variously shaped resistive anodes

AU - Hasebe, Nobuyuki

AU - Kiso, Kazuhiro

AU - Kaneda, Eiji

AU - Doke, Tadayoshi

PY - 1993/5

Y1 - 1993/5

N2 - A new approach using the Green function instead of the method of Fourier expansion is presented to determine the position charge relationship for radiation detectors employing a charge division on the resistive anode bordered by an additional resistive line. The resistive anode with a polygonal shape is considered as a general case. Theoretical consideration shows that the position of radiation incidence in the position sensitive detectors is represented in the integral form containing the Green function if the total charge generated in the detector is assumed to be collected over an infinite time. Anodes with the geometries of a triangle, square, circle or spherical triangle are described as practical shapes. It is shown that, when the shape of the anode is (spherical) triangular or square, the relationship between the position and charge is determined by a harmonic function obtained from a simple geometric consideration.

AB - A new approach using the Green function instead of the method of Fourier expansion is presented to determine the position charge relationship for radiation detectors employing a charge division on the resistive anode bordered by an additional resistive line. The resistive anode with a polygonal shape is considered as a general case. Theoretical consideration shows that the position of radiation incidence in the position sensitive detectors is represented in the integral form containing the Green function if the total charge generated in the detector is assumed to be collected over an infinite time. Anodes with the geometries of a triangle, square, circle or spherical triangle are described as practical shapes. It is shown that, when the shape of the anode is (spherical) triangular or square, the relationship between the position and charge is determined by a harmonic function obtained from a simple geometric consideration.

UR - http://www.scopus.com/inward/record.url?scp=0027594427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027594427&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0027594427

VL - 32

SP - 2162

EP - 2166

JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

SN - 0021-4922

IS - 5 S

ER -