Parallel capable? : yes

Parameter Name | Units | Type | Default | Description |

PHASE | double | 0.0 | phase | |

TILT | double | 0.0 | rotation about longitudinal axis | |

FREQUENCY | double | 2856000000 | frequency | |

VOLTAGE | double | 0.0 | peak deflecting voltage | |

PHASE_REFERENCE | long | `0` |
phase reference number (to link with other time-dependent elements) | |

VOLTAGE_WAVEFORM | STRING | NULL | filename=x+y form specification of input file giving voltage waveform factor vs time | |

VOLTAGE_PERIODIC | long | `0` |
If non-zero, voltage waveform is periodic with period given by time span. | |

ALIGN_WAVEFORMS | long | `0` |
If non-zero, waveforms' t=0 is aligned with first bunch arrival time. | |

VOLTAGE_NOISE | double | 0.0 | Rms fractional noise level for voltage. | |

PHASE_NOISE | double | 0.0 | Rms noise level for phase. | |

GROUP_VOLTAGE_NOISE | double | 0.0 | Rms fractional noise level for voltage linked to group. | |

GROUP_PHASE_NOISE | double | 0.0 | Rms noise level for phase linked to group. | |

VOLTAGE_NOISE_GROUP | long | `0` |
Group number for voltage noise. | |

PHASE_NOISE_GROUP | long | `0` |
Group number for phase noise. | |

START_PASS | long | -1 | If non-negative, pass on which to start modeling cavity. | |

END_PASS | long | -1 | If non-negative, pass on which to end modeling cavity. | |

GROUP | string | NULL | Optionally used to assign an element to a group, with a user-defined name. Group names will appear in the parameter output file in the column ElementGroup |

**NB:** Although this element is correct insofar as it uses the
fields for a pure TM110 mode, it is recommended that the `RFDF`
element be used instead. In a real deflecting cavity with entrance
and exit tubes, the deflecting mode is a hybrid TE/TM mode, in which
the deflection has no dependence on the radial coordinate.

To derive the field expansion, we start with some results from
Jackson[17], section 8.7. The longitudinal electric field
for a TM mode is just

(77) |

(78) |

(79) |

(80) |

In MKS units, the magnetic field is

(81) |

Using `mathematica`, we expanded these expressions to sixth order
in . Here, we present only the expressions to second
order. Taking the real parts only, we now have

(82) | |||

(83) | |||

(84) |

The Cartesian components of can be computed easily

(85) | |||

(86) | |||

(87) | |||

(88) |

The Lorentz force on an electron is
,
giving

(89) | |||

(90) | |||

(91) |

We see that for , we have , , and

(92) |

**Explanation of filename=x+y format:** Several elements in `elegant` make use of data from external files to provide input waveforms.
The external files are SDDS files, which may have many columns. In order to provide a convenient
way to specify both the filename and the columns to use, we frequently employ filename=x+y format
for the parameter value. For example, if the parameter value is `waveform.sdds=t+A`

, then it
means that columns `t`

and `A`

will be taken from file `waveform.sdds`

. The first
column is always the independent variable (e.g., time, position, or frequency), while the second
column is the dependent quantity.