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Backward Wave Oscillator Calculator & Formula

By RF Wireless Expert Team

Backward Wave Oscillators are tunable microwave sources that generate radiation by interacting electron beams with slow wave structures. They are important in research and electronic warfare applications. This page provides Backward Wave Oscillator (BWO) calculator and its formula to calculate beam volocity and resonant oscillation frequency.

Inputs

Outputs

EXAMPLE:

INPUTS:

  • Beam Voltage = 10 KV
  • Electron Charge = 1.602E-19
  • Electron Mass = 9.11E-31
  • Propagation Constant = 250

OUTPUTS:

  • Beam Velocity (m/s) = 59304420.32
  • Resonant Oscillation Frequency = 2.36 GHz

Backward Wave Oscillator (BWO) Formula

Backward Wave Oscillator BWO Formula

Summary: By applying fundamental electron beam and wave interaction formulas, this tool helps users analyze frequency tuning and beam wave synchronization in BWO devices. It is particularly useful for microwave researchers and RF designers working on tunable sources in millimeter wave and terahertz systems.

References for further study

  1. IEEE Transactions on Electron Devices (BWO research papers), Modern research articles on BWO tuning, efficiency, and THz oscillators.
  2. A. S. Gilmour Jr. - Microwave Tubes

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