... | ... | @@ -1919,7 +1919,7 @@ SOFT_RF_CAVITY: VARIABLE_RF_CAVITY_FRINGE_FIELD, |
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=== Pillbox RF Cavity
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The `PILLBOX` command provides an analytical model for a cylindrical RF cavity. Fringe fields aren't supported yet. Both TM~mnp~ and TE~mnp~ modes for latexmath:[m \ge 0], latexmath:[n \ge 1] and latexmath:[p \ge 0] \(TM) and latexmath:[p \ge 1] (TE) are supported. The computed field for TM~mnp~ is
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.A block equation
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.TM field of pillbox
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[latexmath]
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++++
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\begin{aligned}
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... | ... | @@ -1936,7 +1936,7 @@ where latexmath:[ L ] is the length and latexmath:[ R ] the radius of the pillbo |
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The computed field for TE~mnp~ is:
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.A block equation
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.TE field of pillbox
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[latexmath]
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++++
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\begin{aligned}
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... | ... | @@ -2105,6 +2105,39 @@ lrf0: TravelingWave, L=0.0253, VOLT=14.750, |
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FREQ=1498.956, LAG=248.0/360.0;
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----
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[[sec.elements.slactds]]
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=== SLACs Transverse Deflectinc Structure
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A `SLACTDS` element deflects the particles in horizontal direction. It's field is computed
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using
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.Field of SLACs TDS
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[latexmath]
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++++
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\begin{aligned}
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E_r &=& E_0 (\frac{k r}{2}^2 + \frac{k a}{2}^2) \cos(\varphi) \\
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E_\varphi &=& E_0 (\frac{k r}{2}^2 - \frac{k a}{2}^2) \sin(\varphi) \\
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E_z &=& \dot{\iota} E_0 k r \cos(\varphi) \\
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B_r &=& -\frac{E_0}{c} (\frac{k r}{2}^2 - \frac{k a}{2}^2 + 1) \sin(\varphi) \\
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B_\varphi &=& \frac{E_0}{c} (\frac{k r}{2}^2 + \frac{k a}{2}^2 - 1) \cos(\varphi) \\
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B_z &=& -\dot{\iota} \frac{E_0}{c} k r \sin(\varphi)
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\end{aligned}
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++++
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where latexmath:[ a ] is the radius of the iris, latexmath:[k = \frac{2\pi}{\lambda}] and
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latexmath:[E_0 = |E_0|\exp(\dot{\iota} k (z - \omega t)) ]. The frequency is fixed to 2.856 GHz,
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the radius of the iris 2.24 cm and the length of a cell 3.5 cm. The overall length of the RF
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structure can be chosen in multiples of the length of a cell.
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A `SLACTDS` can be defined with the following attributes:
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----
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label:SLACTDS, NUMCELLS=real, LAG=real, DLAG=real, VOLT=real, DVOLT=real;
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----
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NUMCELLS::
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The number of cells of the RF structure.
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[[sec.elements.monitor]]
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=== Monitor
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... | ... | |