Difference: FocussingLightguide (r2 vs. r1)

FocussingLightguide

Some results on the focussing lightguides. Requirements for the two design options below were a focal plane perpendicular to the disc and a high degrees/mm dispersion.

* compact focussing lightguide:
compact focussing lightguide
* curvedx2m54x3m09x4m05b.eps: compact focussing lightguide

The black dots are focal points on a particular ray. Ideally they would all lie on top of one another. The position of a focal point actually does imply the slope of the focal plane in its vicinity. It only can be changed at the cost of imperfect focussing. The focal plane was twisted to vertical orientation to allow photon detectors to be oriented parallel to the magnetic field.

The shorter the focal length, the bigger the focussing imperfections both absolute (in millimetres) and relative (in degrees or beta). The aim was here to get the dynamic range of 20degrees (45-25) into less than 50mm range, so the focal plane could be covered by a standard 50mm or 2" side length PMT.

Focussing polynomial is y= -5.4/60^2*x^2 - 0.9/60^3*x^3 - 0.5/60^4*x^4
the focal plane is at x=77mm, these values can be further optimised.
Focussing imperfections [sigma]:
45deg 0.15mm ; 35deg 0.16mm ; 25deg 0.47mm .

  • compact focussing lightguide with two reflections:
    compact focussing lightguide with two reflections
  • curvedx2m54x3m09x4m05m.eps: compact focussing lightguide with two reflections

Including an additional mirror surface into the lightguide one can keep the readout completely upstream or downstream of the disc. It may be easier to accomodate spacial constraints this way than fighting for extra space.

-- KlausFoehl - 05 May 2006

this page is part of I still think that the Barrel can probably be read out with Time-of-Propagation. DesignItems.

IAttachmentActionSizeDateWhoComment
curvedx2m54x3m09x4m05b.epsepscurvedx2m54x3m09x4m05b.epsmanage 22.9 K 05 May 2006 - 21:23KlausFoehl compact focussing lightguide
curvedx2m54x3m09x4m05m.epsepscurvedx2m54x3m09x4m05m.epsmanage 10.8 K 05 May 2006 - 21:29KlausFoehl compact focussing lightguide with two reflections
lightguidex2m54x3m09x4m05.gifgiflightguidex2m54x3m09x4m05.gifmanage 6.6 K 05 May 2006 - 21:21KlausFoehl compact focussing lightguide
lightguidex2m54x3m09x4m05_.gifgiflightguidex2m54x3m09x4m05_.gifmanage 4.4 K 05 May 2006 - 21:48KlausFoehl compact focussing lightguide
lightguidex2m54x3m09x4m05mirror.gifgiflightguidex2m54x3m09x4m05mirror.gifmanage 6.0 K 05 May 2006 - 21:28KlausFoehl compact focussing lightguide with two reflections
lightguidex2m54x3m09x4m05mirror_.gifgiflightguidex2m54x3m09x4m05mirror_.gifmanage 4.1 K 05 May 2006 - 21:49KlausFoehl compact focussing lightguide with two reflections

But if photon angle measurement is required, the end of the bars could possibly look like this with a focussing lightguide, and maybe one can get away without correcting the fused silica dispersion:
possible Barrel end
I am not happy with the focussing (sigma=0.3-0.5mm, quick hand optimisation only), and the vertical focal plane is not the best orientation either, only a compromise propagated from the Disc calculations above. Getting the focal plane perpendicular to the magnetic field may be necessary, which is good news as best focussing is achieved with somewhere between 60-80degrees and not the 90 degrees. No constraint for the focal plane orientation would be even better news...

-- KlausFoehl - 06 May 2006

This page is part of DesignItems.

IAttachmentActionSizeDateWhoComment
curvedx2m54x3m09x4m05b.epsepscurvedx2m54x3m09x4m05b.epsmanage 22.9 K 05 May 2006 - 21:23KlausFoehl compact focussing lightguide
curvedx2m54x3m09x4m05m.epsepscurvedx2m54x3m09x4m05m.epsmanage 10.8 K 05 May 2006 - 21:29KlausFoehl compact focussing lightguide with two reflections
lightguidex2m50x3m10x4m10.gifgiflightguidex2m50x3m10x4m10.gifmanage 8.6 K 06 May 2006 - 13:38KlausFoehl possible Barrel end
lightguidex2m54x3m09x4m05.gifgiflightguidex2m54x3m09x4m05.gifmanage 6.6 K 05 May 2006 - 21:21KlausFoehl compact focussing lightguide
lightguidex2m54x3m09x4m05_.gifgiflightguidex2m54x3m09x4m05_.gifmanage 4.4 K 05 May 2006 - 21:48KlausFoehl compact focussing lightguide
lightguidex2m54x3m09x4m05mirror.gifgiflightguidex2m54x3m09x4m05mirror.gifmanage 6.0 K 05 May 2006 - 21:28KlausFoehl compact focussing lightguide with two reflections
lightguidex2m54x3m09x4m05mirror_.gifgiflightguidex2m54x3m09x4m05mirror_.gifmanage 4.1 K 05 May 2006 - 21:49KlausFoehl compact focussing lightguide with two reflections

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