# Presentation: 947813

## Status Report: Booster and Main Injector Similations Alexandr Drozhdin,  Xi Yang

- November 1, 2006 A.Drozhdin

## In order to reduce the momen-tum spread of the  Booster beam before slip stacking injection to the Main Injector, bunch rotation at the end of the cycle is excited by fast reduction of RF voltage.  However, the fast voltage reduction often causes beam loading issues to Booster RF cavities, and the reliability of extracted beam becomes a problem.  An alternative solution is investigated. Modulating the RF voltage with twice of the synchrotron frequency at the end of a cycle introduces bunch length oscillation, and the beam is extracted at the time when the bunch length reaches the maximum and the momentum spread reaches the minimum.  RF voltage (top), synchronous phase (middle) and  dP (95%, bottom) are shown.  

- November 1, 2006       A.Drozhdin

## At this case the RF voltage is modulated at the level of 25%, starting from turn 18600.  Longitudinal phase plane at turns 18661 (initial), 18962 (first min), 19037 (max), 19127 (second min), 19287 (3-d min), 19449 (4-th min), and 19606 (5-th min) and dP(95%) are shown. The extraction intensity  is 4.9e12, with the operational RF voltage of 0.3 MV in the beginning of the RF modulation.  

- 11/01/06       A.Drozhdin

## Longitudinal phase plane at extraction from Booster to the Main Injector without momentum correction (top), and with correc-tion of beam center to Pc=8.88889 GeV (bottom). 

- November 1, 2006       A.Drozhdin

## RF frequecy of reference, first and second stations during slip-stacking injection to the Main Injector.

- November 1, 2006       A.Drozhdin

## Longitudinal phase plane for first (top) and second (bottom) beam during first 300 turns after beam injection. First 3 particles of first beam and last 3 particles of second beam are lost from separatrix. 

- November 1, 2006       A.Drozhdin

## Longitudinal phase plane at first turn (left) and turn 200 (right) after injection to the MI: top line - injection at first minimum (turn 18962), second line - injection at second minimum (turn 19127), 3-d line - injection at third minimum (turn 19287), 4-th line - injection at 4-th minimum (turn 19449) and 5-th line - injection at 5-th minimum (turn 19606).

- 11/01/06       A.Drozhdin

## Longitudinal phase plane at turn 200 after injection to the MI:  line - injection at first minimum (turn 18962), second line - injection at second minimum (turn 19127), third line - injection at third minimum (turn 19287), 4-th line - injection at 4-th minimum (turn 19449) and 5-th line - injection at 5-th minimum (turn 19606). Total phase plane is shown on the left, and only region of the bucket is shown on the right

- November 1, 2006       A.Drozhdin

## Longitudinal phase plane at turn 400 (left) and 800 (right) after injection to the MI:  first line - injection at first minimum (turn 18962), second line - injection at second minimum (turn 19127), third line - injection at third minimum (turn 19287), 4-th line - injection at 4-th minimum (turn 19449) and 5-th line - injection at 5-th minimum (turn 19606)

- 11/01/06   A.Drozhdin

## Longitudinal phase plane at turn 1200 (left) and 1500 (right) after injection to the MI:  first line - injection at first minimum (turn 18962), second line - injection at second minimum (turn 19127), third line - injection at third minimum (turn 19287), 4-th line - injection at 4-th minimum (turn 19449) and 5-th line - injection at 5-th minimum (turn 19606)

- 11/01/06     A.Drozhdin

## Without space charge effects. Longitudinal (left) and transverse (right) phase plane at turns 5, 14, 32, 100, 200, 500, 700 and 1000 from beginning of Booster cycle.}

- 11/01/06   A.Drozhdin

## With only transverse space charge effect. Longitudinal (left) and transverse (right) phase plane at turns 5, 14, 32, 100, 200, 500, 700 and 1000 from beginning of Booster cycle

- 11/01/06   A.Drozhdin

## With only longitudinal space charge effect. Longitu-dinal (left) and transverse (right) phase plane at turns 5, 14, 32, 100, 200, 500, 700 and 1000 from beginning of Booster cycle

- 11/01/06  A.Drozhdin