Klystron amplifiers – Applegate diagram and electron bunching State whether the bunching process in a multi-cavity klystron amplifier is correctly represented by an Applegate diagram.

Difficulty: Easy

Correct Answer: True

Explanation:


Introduction:
Multi-cavity klystron amplifiers use velocity modulation followed by drift-space bunching to convert beam kinetic energy into RF power at the output cavity. Engineers visualize the evolution of electron phases and velocities using the Applegate diagram, a time–position plot of representative electrons that shows how an initially uniform beam forms density bunches.


Given Data / Assumptions:

  • Electron beam passes through an input cavity that imposes velocity modulation.
  • Electrons drift and form bunches due to velocity differences.
  • Output (catcher) cavity extracts RF power from the bunched beam.


Concept / Approach:

The Applegate diagram tracks electron trajectories as lines whose slopes correspond to velocities. After modulation, faster electrons overtake slower ones, creating bunching lines that converge. This diagram is not an exact solution but an insightful representation to understand phase focusing, optimum drift length, and cavity tuning for maximum gain.


Step-by-Step Solution:

1) Apply small-signal velocity modulation at the input cavity: v = v0 + Δv cos(ωt).2) In the drift region, faster electrons close the gap to slower electrons, producing density peaks.3) At the output cavity, the bunched beam induces strong RF currents that deliver power to the load.


Verification / Alternative check:

Simulation or beam-wave theory reproduces the bunching predicted qualitatively by the Applegate construction, validating its pedagogical use.


Why Other Options Are Wrong:

Limiting the diagram to low voltages, oscillators only, or zero space-charge is incorrect; it is a general visualization tool. Space-charge modifies but does not invalidate the representation.


Common Pitfalls:

Confusing Applegate diagrams with exact particle-in-cell results; ignoring space-charge effects when estimating drift length.


Final Answer:

True.

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