Cutoff wavenumber in TM and TE mode Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutoff wavenumber = Wave mode m*pi/Parallel waveguide distance
kc = m*pi/d
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cutoff wavenumber - (Measured in Diopter) - The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.
Wave mode m - The wave mode m is the mth mode in a waveguide where m indicates the number of half-sinusoidal variations of the fields in the y direction.
Parallel waveguide distance - (Measured in Meter) - The parallel waveguide distance is the distance between the two parallel plates of a parallel waveguide.
STEP 1: Convert Input(s) to Base Unit
Wave mode m: 2 --> No Conversion Required
Parallel waveguide distance: 4 Millimeter --> 0.004 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kc = m*pi/d --> 2*pi/0.004
Evaluating ... ...
kc = 1570.7963267949
STEP 3: Convert Result to Output's Unit
1570.7963267949 Diopter --> No Conversion Required
FINAL ANSWER
1570.7963267949 Diopter <-- Cutoff wavenumber
(Calculation completed in 00.016 seconds)

Credits

Created by Ashwin V Pillai
Vellore Institute of Technology (VIT), Vellore
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BMS College of Engineering (BMSCE), Bangalore
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Cutoff wavenumber in TM and TE mode Formula

Cutoff wavenumber = Wave mode m*pi/Parallel waveguide distance
kc = m*pi/d

What is cutoff wavenumber?

Cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist. It depends on the wave mode and also the distance between the parallel plates.

How to Calculate Cutoff wavenumber in TM and TE mode?

Cutoff wavenumber in TM and TE mode calculator uses Cutoff wavenumber = Wave mode m*pi/Parallel waveguide distance to calculate the Cutoff wavenumber, The Cutoff wavenumber in TM and TE mode formula is the reciprocal of the product of the wave mode and pi whole divided by the distance between the parallel plates. Cutoff wavenumber is denoted by kc symbol.

How to calculate Cutoff wavenumber in TM and TE mode using this online calculator? To use this online calculator for Cutoff wavenumber in TM and TE mode, enter Wave mode m (m) & Parallel waveguide distance (d) and hit the calculate button. Here is how the Cutoff wavenumber in TM and TE mode calculation can be explained with given input values -> 1570.796 = 2*pi/0.004.

FAQ

What is Cutoff wavenumber in TM and TE mode?
The Cutoff wavenumber in TM and TE mode formula is the reciprocal of the product of the wave mode and pi whole divided by the distance between the parallel plates and is represented as kc = m*pi/d or Cutoff wavenumber = Wave mode m*pi/Parallel waveguide distance. The wave mode m is the mth mode in a waveguide where m indicates the number of half-sinusoidal variations of the fields in the y direction & The parallel waveguide distance is the distance between the two parallel plates of a parallel waveguide.
How to calculate Cutoff wavenumber in TM and TE mode?
The Cutoff wavenumber in TM and TE mode formula is the reciprocal of the product of the wave mode and pi whole divided by the distance between the parallel plates is calculated using Cutoff wavenumber = Wave mode m*pi/Parallel waveguide distance. To calculate Cutoff wavenumber in TM and TE mode, you need Wave mode m (m) & Parallel waveguide distance (d). With our tool, you need to enter the respective value for Wave mode m & Parallel waveguide distance 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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