In a klystron amplifier, what does the RF field in the buncher gap do to the electron beam as a whole?

Difficulty: Easy

Correct Answer: causes acceleration of some electrons and retardation of others

Explanation:


Introduction:
Klystron amplifiers rely on velocity modulation of an electron beam. The RF field across the buncher gap is time-varying; electrons reaching the gap at different RF phases experience different forces, which is fundamental to beam bunching and subsequent energy transfer to the output cavity.


Given Data / Assumptions:

  • Input RF drives the buncher cavity of a klystron amplifier.
  • Electrons traverse the buncher gap at various RF phases.
  • Drift space converts velocity modulation into density (current) modulation.


Concept / Approach:

Because the electric field reverses with RF phase, electrons arriving near the positive half-cycle are accelerated, while those arriving near the negative half-cycle are decelerated. This mixed acceleration/retardation produces velocity spread that evolves into tight bunches downstream, enabling efficient power extraction in the catcher cavity.


Step-by-Step Solution:

1) Apply RF to the buncher → alternating electric field across the gap.2) Electrons see different instantaneous field polarities depending on arrival time.3) Some gain kinetic energy (accelerated), some lose it (retarded).4) In the drift region, faster electrons overtake slower electrons → bunching.


Verification / Alternative check:

Small-signal klystron theory explicitly models the induced velocity modulation as proportional to the RF gap voltage, predicting downstream current modulation at the same frequency.


Why Other Options Are Wrong:

  • All accelerated or all retarded: contradicts the phase-dependent interaction.
  • No change: would preclude bunching and amplification.


Common Pitfalls:

Assuming uniform acceleration because of the DC beam voltage; the superimposed RF field is what creates the alternating acceleration/retardation necessary for gain.


Final Answer:

causes acceleration of some electrons and retardation of others

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