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CERN Program Library Long Writeup W5013 - CERNLIB ...

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Geant 3.16 GEANT User’s Guide PHYS260<br />

Origin : F.Carminati, R.Jones Submitted: 03.02.93<br />

Revision : Revised: 16.12.93<br />

Documentation : F. Carminati<br />

Čerenkov photons<br />

Čerenkov photons are produced when a charged particle traverses a dielectric material.<br />

1 Physics processes for optical photons<br />

A photon is called optical when its wavelength is much greater than the typical atomic spacing, for instance<br />

when λ ≥ 10nm which corresponds to an energy E ≤ 100eV . Production of an optical photon in a HEP<br />

detector is primarily due to:<br />

1. Čerenkov effect;<br />

2. Scintillation;<br />

3. Fluorescence.<br />

Fluorescence is taken into account in GEANT in the context of the photoelectric effect ([PHYS230], [PHYS231]),<br />

but only above the energy cut CUTGAM. Scintillation is not yet simulated by GEANT.<br />

Optical photons undergo three kinds of interactions:<br />

1. Elastic (Rayleigh) scattering;<br />

2. Absorption;<br />

3. Medium boundary interactions.<br />

1.1 Elastic scattering<br />

For optical photons elastic scattering is usually unimportant. For λ = .200µm we have σ Rayleigh ≈ .2b for<br />

N 2 or O 2 which gives a mean free path of ≈ 1.7 km in air and ≈ 1 m in quartz. An important exception to<br />

this is found in aerogel, which is used as a Čerenkov radiator for some special applications. Because of the<br />

spectral properties of this material, Rayleigh scattering is extremely strong and this limits its usefulness as<br />

a RICH radiator. At present, elastic scattering of optical photons is not simulated in GEANT.<br />

1.2 Absorption<br />

Absorption is important for optical photons because it determines the lower λ limit in the window of transparency<br />

of the radiator. Absorption competes with photo-ionisation in producing the signal in the detector,<br />

so it must be treated properly in the tracking of optical photons.<br />

1.3 Medium boundary effects<br />

When a photon arrives at the boundary of a dielectric medium, its behaviour depends on the nature of the<br />

two materials which join at that boundary:<br />

• Case dielectric → dielectric.<br />

The photon can be transmitted (refracted ray) or reflected (reflected ray). In case where the photon<br />

can only be reflected, total internal reflection takes place.<br />

232 PHYS260 – 1

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