Rectangle and Sector bending magnet and K1 and K2 contribution

[Bruce Yee]

Dear Didier,

I would like to simulate a sector bending magnet (the angle of the beam with the dipole face is 90 deg) as shown on the left side of the
next figure.

dipole.png (13.54 KiB) Viewed 50220 times

Following the previous discussion, you provide the following example:

EDGE Angle/2 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0
BEND Angle Ldip/(Angle*3.14159/180) 0 150 0
EDGE Angle/2 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0

Is this a sector-bending magnet?

One more question, related to the "EDGE" element, the values K1 and K2, how did you compute?

For K1, I find the next relationship:

formula.png (20.18 KiB) Viewed 50220 times

Could you please tell me how to compute those contributions?

Thanks for your help and time.

Best regards,

Bruce

[Didier]

Dear Bruce,

No, it's a rectangular magnet. You can use Synoptic tool to visualise that.

dip.png (147.98 KiB) Viewed 37685 times

And for K1 & K2, it's notice in manual

edge.png (32.58 KiB) Viewed 37676 times

Regards,

Didier

[Bruce Yee]

Dear Didier,

Thanks for the confirmation of the bending magnet type.

Thanks for the manual reference. One question, for the text in the manual "K1 and K2 are used in a development for the fringe-field correction. If they are equal to zero, K1 = 0.45 and K2 = 2.8." , I understand that for the case that fringe-field correction is zero K1=0.45 and K2=2.8. Is that correct?

Nevertheless, it does not mentioned how is computed K1 and K2, it shows how this compensated in the matrix. Am I correct?

Thanks for your time.

Best regards,

Bruce

[Didier]

Dear Bruce,

If you don't want to take fringe-field correction into account, set k1 & k2 to 1e-12, but not to 0.

Regards,

Didier

[Bruce Yee]

Dear Didier,

Thanks for your feedback. Please allow me to ask about Sector bending.
Using the following description:


EDGE Angle/2 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0
BEND Angle Ldip/(Angle*3.14159/180) 0 150 0
EDGE Angle/2 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0

I obtained the next rectangle bending:

Rectangle_bending_a.png (79.01 KiB) Viewed 11520 times

Now defining the Edge angle to zero:

EDGE 0 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0
BEND Angle Ldip/(Angle*3.14159/180) 0 150 0
EDGE 0 Ldip/(Angle*3.14159/180) 100 1e-8 1e-8 150 0
I obtained the next bending:

Sector_bending_a.png (67.66 KiB) Viewed 11520 times

This look like a sector bending, but I would like to confirm is that the correct way to define a sector bending.
Could you please confirm?

Best regards,

Bruce

[Didier]

Dear Bruce,

Yes, I confirm your analysis, but I don't quite understand what's not clear in the EDGE and BEND elements.

Regards,

Didier