1. Vyacheslav Klyukhin, SINP MSU Simulation of magnetic toroids for CMS forward muon detection April 22, 2013V. Klyukhin, General Muon mtg, CERN1

2. Motivation of the Proposals April 22, 2013V. Klyukhin, General Muon mtg, CERN2

3. Initial Data April 22, 2013V. Klyukhin, General Muon mtg, CERN3 Parameters of the 13 toroids used in the IHEP-JINR Neutrino Detector (IHEP, Protvino): Outer diameter: 4 m; Inner square hole: 0.36 × 0.36 m²; Thickness: 0.22 m (two disks of 0.11 m welded together); Weight: 25 t; Material: Russian steel St08; Number of turns in one coil: 34 of copper with cross- section of 18.5 × 18.5 mm² and an inner hole of 10 mm diameter; Demineralized water consumption: 14.4 l/min; Magnetic flux density at the inner radius: 1.9 T; Magnetic flux density at the outer radius: 1.45 T; Operational current: 907.6 A at 10.4 V;

4. Data Used for Simulation April 22, 2013V. Klyukhin, General Muon mtg, CERN4 Outer diameter: 5.2 m; Inner diameter: 0.4 m; Thickness: 0.34 or 0.78 m; Weight: 55.5 or 127.3 t; Material: vf steel; Number of turns in one coil: 34 of copper with cross- section of 18.5 × 18.5 mm²; Coil cross section: 0.038 × 0.330 m²; Current: 907.6 A at 10.4 V;

5. Azimuthal magnetic flux density at Z=0 m (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN5

6. Azimuthal magnetic flux density at φ=0º (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN6

7. Azimuthal magnetic flux density at φ=45º (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN7

8. Azimuthal magnetic flux density at Z=0 m (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN8

9. Radial magnetic flux density at Z=0 m (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN9

10. Radial magnetic flux density at φ=0º (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN10

11. Radial magnetic flux density at φ=45º (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN11

12. Radial magnetic flux density at Z=0 m (0.34 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN12

13. Azimuthal magnetic flux density at Z=0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN13

14. Azimuthal magnetic flux density at φ=0º (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN14

15. Azimuthal magnetic flux density at φ=45º (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN15

16. Azimuthal magnetic flux density at Z=0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN16

17. Radial magnetic flux density at Z=0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN17

18. Radial magnetic flux density at φ=0º (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN18

19. Radial magnetic flux density at φ=45º m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN19

20. Radial magnetic flux density at Z=0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN20

21. Layout of 6 Toroids from the Top (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN21

22. Azimuthal magnetic flux density at Z>0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN22

23. Azimuthal magnetic flux density at Z<0 m (0.78 m) April 22, 2013V. Klyukhin, General Muon mtg, CERN23

24. Conclusions April 22, 2013V. Klyukhin, General Muon mtg, CERN24 The toroids could be located at Z-coordinates of ±11.5, ±12.58, and ±13.66 m (from 11.11 to 14.05 m) in place of the present HF, if it will be moved into the end-cap disks bore; The pseudorapidity coverage is from 2.39 to 4.02; The space between the coil of two adjacent toroids is 0.2 m; The azimuthal magnetic flux density is rather uniform along the beam axis; The radial magnetic flux density is negligible; The azimuthal magnetic flux density varies from 1.73 to 2.18 T vs. radius for 0.78 m thick toroids; The integrals of the azimuthal magnetic flux density vary from 4.17 (η=2.4) to 4.96 (η=4) T·m for 0.78 m thick toroids.