Beam Coupling Coefficient in Two Cavity Klystron Calculator

✖Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.ⓘ Average Transient Angle [θ_g]

+10%

-10%

✖Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.ⓘ Beam Coupling Coefficient in Two Cavity Klystron [β_i]

⎘ Copy

👎

Formula

✖

Beam Coupling Coefficient in Two Cavity Klystron

Formula

`"β"_{"i"} = sin("θ"_{"g"}/2)/("θ"_{"g"}/2)`

Example

`"0.032595"=sin("30.38rad"/2)/("30.38rad"/2)`

Calculator

LaTeX

Reset

👍

Download Microwave Tubes and Circuits Formula PDF PDF Image

Beam Coupling Coefficient in Two Cavity Klystron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)
β_i = sin(θ_g/2)/(θ_g/2)
This formula uses 1 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Beam Coupling Coefficient - Beam Coupling Coefficient is a measure of the interaction between an electron beam and an electromagnetic wave in a resonant cavity.
Average Transient Angle - (Measured in Radian) - Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

STEP 1: Convert Input(s) to Base Unit

Average Transient Angle: 30.38 Radian --> 30.38 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β_i = sin(θ_g/2)/(θ_g/2) --> sin(30.38/2)/(30.38/2)

Evaluating ... ...

β_i = 0.0325945749394359

STEP 3: Convert Result to Output's Unit

0.0325945749394359 --> No Conversion Required

FINAL ANSWER

0.0325945749394359 ≈ 0.032595 <-- Beam Coupling Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Klystron Cavity » Beam Coupling Coefficient in Two Cavity Klystron

Credits

Created by Passya Saikeshav Reddy

CVR COLLEGE OF ENGINEERING (CVR), India

Passya Saikeshav Reddy has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 14 Klystron Cavity Calculators

Average Microwave Voltage in Buncher Gap

Go Average Microwave Voltage = Input Signal Amplitude*Beam Coupling Coefficient*sin(Angular Frequency*Entering Time+(Average Transient Angle/2))

Maximum Input Voltage in Two Cavity Klystron

Go Maximum Input Voltage in Two Cavity Klystron = (2*Reflex Klystron Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Average Transient Angle)

Phase Constant of Fundamental Mode Field

Go Phase Constant for N-cavities = (2*pi*Number of Oscillation)/(Mean Distance Between the Cavities*Number of Resonant Cavities)

Average Distance between Cavities

Go Mean Distance Between the Cavities = (2*pi*Number of Oscillation)/(Phase Constant for N-cavities*Number of Resonant Cavities)

Magnitude of Microwave Signal at Input Cavity

Go Magnitude of Microwave Signal = (2*Cathode Buncher Voltage*Bunching Parameter)/(Beam Coupling Coefficient*Angular Variation)

Velocity Modulation of Electrons in Klystron Cavity

Go Velocity Modulation = sqrt((2*[Charge-e]*High DC Voltage)/[Mass-e])

Beam Coupling Coefficient in Two Cavity Klystron

Go Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)

Conductance of Resonator

Go Conductance of Cavity = (Capacitance at Vane Tips*Angular Frequency)/Unloaded Q-factor

Number of Resonant Cavities

Go Number of Resonant Cavities = (2*pi*Number of Oscillation)/Phase Shift in Magnetron

Induced Current in Catcher Cavity

Go Induced Catcher Current = Current Arriving at Catcher Cavity Gap*Beam Coupling Coefficient

Buncher Cavity Gap

Go Buncher Cavity Gap = Average Transit Time*Electron Uniform Velocity

Induced Current in Walls of Catcher Cavity

Go Induced Catcher Current = Beam Coupling Coefficient*Direct Current

Average Transit Angle

Go Average Transient Angle = Angular Frequency*Average Transit Time

Average Transit Time

Go Average Transit Time = Buncher Cavity Gap/Velocity Modulation

Beam Coupling Coefficient in Two Cavity Klystron Formula

Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2)
β_i = sin(θ_g/2)/(θ_g/2)

What is the concept of velocity modulation?

Velocity modulation is then defined as that variation in the velocity of a beam of electrons caused by the alternate speeding up and slowing down of the electrons in the beam.

How to Calculate Beam Coupling Coefficient in Two Cavity Klystron?

Beam Coupling Coefficient in Two Cavity Klystron calculator uses Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2) to calculate the Beam Coupling Coefficient, The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal. Beam Coupling Coefficient is denoted by β_i symbol.

How to calculate Beam Coupling Coefficient in Two Cavity Klystron using this online calculator? To use this online calculator for Beam Coupling Coefficient in Two Cavity Klystron, enter Average Transient Angle (θ_g) and hit the calculate button. Here is how the Beam Coupling Coefficient in Two Cavity Klystron calculation can be explained with given input values -> 0.032595 = sin(30.38/2)/(30.38/2).

FAQ

What is Beam Coupling Coefficient in Two Cavity Klystron?

The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal and is represented as β_i = sin(θ_g/2)/(θ_g/2) or Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2). Average transient angle is Stability of Paralleled Synchronous and Virtual Synchronous Generators in Islanded Microgrids.

How to calculate Beam Coupling Coefficient in Two Cavity Klystron?

The Beam Coupling Coefficient in Two Cavity Klystron formula is defined as the degree to which the electrons undergo the process of velocity modulation. It is quite similar to the modulation index which determines the degree to which the carrier is modulated with respect to the message signal is calculated using Beam Coupling Coefficient = sin(Average Transient Angle/2)/(Average Transient Angle/2). To calculate Beam Coupling Coefficient in Two Cavity Klystron, you need Average Transient Angle (θ_g). With our tool, you need to enter the respective value for Average Transient Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search