Re: Optimizing the quadrupole strengths
Posted: 05 Apr 2023, 23:14
Thank you Michael for the explanation! It helped me understand some procedures and looks like this is correct. If possible i would like to share with you the paper which i am trying to repeat the results. Here is the DOI: https://doi.org/10.1038/s41598-021-93276-8.
Analyzing methods section and looking at supplementary information, i noticed that ELEGANT were used there to find the optimal values of the positions of quadrupoles and the focusing strength needed to focus the beam on a depth 20 cm inside a drift of size 30 cm. This procedure was achieved using optimization and this part about minimizing beta function that you mentioned.
In order to check this results, i repeated the simulations for the symmetric beam in order to find this focal point in 20cm inside this last drift of 30cm. To do this, i created the fodo.ele file (attached) together with lattice.lte file (attached), executed elegant fodo.ele and then using the command:
sddsplot -col=s,S[xy] fodo.sig -graph=line,vary -legend -unsuppress=y \
-col=s,Profile fodo.mag -overlay=xmode=norm,yfact=0.04
...so i got the following figure named graphics.png (attached). Looking at ther i can see that the focal point is happening on a depth of 4 cm inside the last drift and not on 20 cm as i expected. If it's not too much to ask, i would like to know if this steps seem corrected for this goal?
Thank you again for your time and disposition!
Analyzing methods section and looking at supplementary information, i noticed that ELEGANT were used there to find the optimal values of the positions of quadrupoles and the focusing strength needed to focus the beam on a depth 20 cm inside a drift of size 30 cm. This procedure was achieved using optimization and this part about minimizing beta function that you mentioned.
In order to check this results, i repeated the simulations for the symmetric beam in order to find this focal point in 20cm inside this last drift of 30cm. To do this, i created the fodo.ele file (attached) together with lattice.lte file (attached), executed elegant fodo.ele and then using the command:
sddsplot -col=s,S[xy] fodo.sig -graph=line,vary -legend -unsuppress=y \
-col=s,Profile fodo.mag -overlay=xmode=norm,yfact=0.04
...so i got the following figure named graphics.png (attached). Looking at ther i can see that the focal point is happening on a depth of 4 cm inside the last drift and not on 20 cm as i expected. If it's not too much to ask, i would like to know if this steps seem corrected for this goal?
Thank you again for your time and disposition!