Bunching Parameter of Klystron Calculator

✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient [β_i]			+10% -10%
✖Input Signal Amplitude is the maximum amplitude or peak value of the input signal, which is usually a sinusoidal signal, and is measured in units of volts or decibels relative to a reference level.ⓘ Input Signal Amplitude [V_in]			+10% -10%
✖Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.ⓘ Angular Variation [θ_o]			+10% -10%
✖Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.ⓘ Cathode Buncher Voltage [V_o]			+10% -10%

✖Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron.ⓘ Bunching Parameter of Klystron [X]

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Bunching Parameter of Klystron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)
X = (β_i*V_in*θ_o)/(2*V_o)
This formula uses 5 Variables

Variables Used

Bunching Parameter - Bunching parameter as the ratio of the peak electric field to the average electric field at the input cavity of the klystron.
Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
Input Signal Amplitude - (Measured in Volt) - Input Signal Amplitude is the maximum amplitude or peak value of the input signal, which is usually a sinusoidal signal, and is measured in units of volts or decibels relative to a reference level.
Angular Variation - (Measured in Radian) - Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed.
Cathode Buncher Voltage - (Measured in Volt) - Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.

STEP 1: Convert Input(s) to Base Unit

Beam Coupling Coefficient: 0.836 --> No Conversion Required
Input Signal Amplitude: 50 Volt --> 50 Volt No Conversion Required
Angular Variation: 12.56 Radian --> 12.56 Radian No Conversion Required
Cathode Buncher Voltage: 85 Volt --> 85 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = (β_i*V_in*θ_o)/(2*V_o) --> (0.836*50*12.56)/(2*85)

Evaluating ... ...

X = 3.08828235294118

STEP 3: Convert Result to Output's Unit

3.08828235294118 --> No Conversion Required

FINAL ANSWER

3.08828235294118 ≈ 3.088282 <-- Bunching Parameter

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Klystron Calculators

Bunching Parameter of Klystron

LaTeX Go Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)

Beam Loading Conductance

LaTeX Go Beam Loading Conductance = Conductance of Cavity-(Loaded Conductance+Copper Loss Conductance)

Copper Loss of Cavity

LaTeX Go Copper Loss Conductance = Conductance of Cavity-(Beam Loading Conductance+Loaded Conductance)

Cavity Conductance

LaTeX Go Conductance of Cavity = Loaded Conductance+Copper Loss Conductance+Beam Loading Conductance

Bunching Parameter of Klystron Formula

LaTeX Go

Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage)
X = (β_i*V_in*θ_o)/(2*V_o)

What is Klystron?

Klystrons are high power microwave vacuum tubes. They are velocity-modulated tubes that are used in radars as amplifiers or oscillators. A klystron uses the kinetic energy of an electron beam for the amplification of a high-frequency signal.

How to Calculate Bunching Parameter of Klystron?

Bunching Parameter of Klystron calculator uses Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage) to calculate the Bunching Parameter, The Bunching Parameter of Klystron formula is defined as the ratio of the length of the electron bunch to the period of the RF signal. It is a is a dimensionless quantity that describes the degree of electron bunching in the input cavity of a klystron. Bunching Parameter is denoted by X symbol.

How to calculate Bunching Parameter of Klystron using this online calculator? To use this online calculator for Bunching Parameter of Klystron, enter Beam Coupling Coefficient (β_i), Input Signal Amplitude (V_in), Angular Variation (θ_o) & Cathode Buncher Voltage (V_o) and hit the calculate button. Here is how the Bunching Parameter of Klystron calculation can be explained with given input values -> 3.088282 = (0.836*50*12.56)/(2*85).

FAQ

What is Bunching Parameter of Klystron?

The Bunching Parameter of Klystron formula is defined as the ratio of the length of the electron bunch to the period of the RF signal. It is a is a dimensionless quantity that describes the degree of electron bunching in the input cavity of a klystron and is represented as X = (β_i*V_in*θ_o)/(2*V_o) or Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage). Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity, Input Signal Amplitude is the maximum amplitude or peak value of the input signal, which is usually a sinusoidal signal, and is measured in units of volts or decibels relative to a reference level, Angular Variation refers to the change in some physical property of a system as the angle of observation or measurement is changed & Cathode Buncher Voltage is the voltage applied to the cathode of a klystron tube to produce a bunched electron beam that interacts with the resonant cavity of the klystron to produce microwave power.

How to calculate Bunching Parameter of Klystron?

The Bunching Parameter of Klystron formula is defined as the ratio of the length of the electron bunch to the period of the RF signal. It is a is a dimensionless quantity that describes the degree of electron bunching in the input cavity of a klystron is calculated using Bunching Parameter = (Beam Coupling Coefficient*Input Signal Amplitude*Angular Variation)/(2*Cathode Buncher Voltage). To calculate Bunching Parameter of Klystron, you need Beam Coupling Coefficient (β_i), Input Signal Amplitude (V_in), Angular Variation (θ_o) & Cathode Buncher Voltage (V_o). With our tool, you need to enter the respective value for Beam Coupling Coefficient, Input Signal Amplitude, Angular Variation & Cathode Buncher Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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