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:

* 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:
  
• 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

I	Attachment	Action	Size	Date	Who	Comment
eps	curvedx2m54x3m09x4m05b.eps	manage	22.9 K	05 May 2006 - 21:23	KlausFoehl	compact focussing lightguide
eps	curvedx2m54x3m09x4m05m.eps	manage	10.8 K	05 May 2006 - 21:29	KlausFoehl	compact focussing lightguide with two reflections
gif	lightguidex2m54x3m09x4m05.gif	manage	6.6 K	05 May 2006 - 21:21	KlausFoehl	compact focussing lightguide
gif	lightguidex2m54x3m09x4m05_.gif	manage	4.4 K	05 May 2006 - 21:48	KlausFoehl	compact focussing lightguide
gif	lightguidex2m54x3m09x4m05mirror.gif	manage	6.0 K	05 May 2006 - 21:28	KlausFoehl	compact focussing lightguide with two reflections
gif	lightguidex2m54x3m09x4m05mirror_.gif	manage	4.1 K	05 May 2006 - 21:49	KlausFoehl	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:

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...

I	Attachment	Action	Size	Date	Who	Comment
eps	curvedx2m54x3m09x4m05b.eps	manage	22.9 K	05 May 2006 - 21:23	KlausFoehl	compact focussing lightguide
eps	curvedx2m54x3m09x4m05m.eps	manage	10.8 K	05 May 2006 - 21:29	KlausFoehl	compact focussing lightguide with two reflections
gif	lightguidex2m50x3m10x4m10.gif	manage	8.6 K	06 May 2006 - 13:38	KlausFoehl	possible Barrel end
gif	lightguidex2m54x3m09x4m05.gif	manage	6.6 K	05 May 2006 - 21:21	KlausFoehl	compact focussing lightguide
gif	lightguidex2m54x3m09x4m05_.gif	manage	4.4 K	05 May 2006 - 21:48	KlausFoehl	compact focussing lightguide
gif	lightguidex2m54x3m09x4m05mirror.gif	manage	6.0 K	05 May 2006 - 21:28	KlausFoehl	compact focussing lightguide with two reflections
gif	lightguidex2m54x3m09x4m05mirror_.gif	manage	4.1 K	05 May 2006 - 21:49	KlausFoehl	compact focussing lightguide with two reflections