Cerenkov/Pandacerenkov  TimeOfPropagation (compare)

# Difference: TimeOfPropagation (r2 vs. r1)

r2 - 02 Feb 2006 - 15:46 - CarstenSchwarz r1 - 14 Sep 2005 - 17:53 - KlausFoehl

For a transverse path of 1m for Cherenkov light emitted from a particle of normal incidence in fused silica, the time difference for $\beta$=1 and $\beta$=0.99 is only 61ps. However, due to dispersion both emission angle and speed of light in the medium are a function of the wavelength. For 300nm and 600nm photons the time difference is 0.5ns.

For a transverse path of 1m for Cherenkov light emitted from a particle of normal incidence in fused silica, the time difference for $\beta$=1 and $\beta$=0.99 is only 61ps. However, due to dispersion both emission angle and speed of light in the medium are a function of the wavelength. For 300nm and 600nm photons the time difference is 0.5ns.

$n_{group} = n_{phase} - \lambda dn_{phase}/d\lambda$

$n_{group} = n_{phase} - \lambda dn_{phase}/d\lambda$

To calculate the propagation speed of the photons inside the dispersive medium the group velocity has to be used. The dynamic range of the corresponding group velocity refractive index is about 3 times larger than that of the normal refractive index.

To calculate the propagation speed of the photons inside the dispersive medium the group velocity has to be used. The dynamic range of the corresponding group velocity refractive index is about 3 times larger than that of the normal refractive index.

The figure shows these velocities for fused silica.

The figure shows these velocities for fused silica.

-- KlausFoehl - 14 Sep 2005

-- KlausFoehl - 14 Sep 2005

IAttachmentActionSizeDateWhoComment
gifpanda20a2.gifmanage 2.4 K 14 Sep 2005 - 18:07KlausFoehl fused silica - n_phase and n_group
IAttachmentActionSizeDateWhoComment
gifpanda20a2.gifmanage 2.4 K 14 Sep 2005 - 18:07KlausFoehl fused silica - n_phase and n_group
r2 - 02 Feb 2006 - 15:46 - CarstenSchwarz r1 - 14 Sep 2005 - 17:53 - KlausFoehl

Revision r2 - 02 Feb 2006 - 15:46 - CarstenSchwarz
Revision r1 - 14 Sep 2005 - 17:53 - KlausFoehl
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