Cutoff Wavenumber in TM and TE Mode Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.ⓘ Mode Index [m]			+10% -10%
✖Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.ⓘ Parallel Waveguide Distance [d]			+10% -10%

✖The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.ⓘ Cutoff Wavenumber in TM and TE Mode [k_c]

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Formula

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Cutoff Wavenumber in TM and TE Mode

Formula

`"k"_{"c"} = ("m"*pi)/"d"`

Example

`"9666.439Diopter"=("4"*pi)/"0.0013m"`

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Cutoff Wavenumber in TM and TE Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance
k_c = (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.
Mode Index - Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.
Parallel Waveguide Distance - (Measured in Meter) - Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.

STEP 1: Convert Input(s) to Base Unit

Mode Index: 4 --> No Conversion Required
Parallel Waveguide Distance: 0.0013 Meter --> 0.0013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_c = (m*pi)/d --> (4*pi)/0.0013

Evaluating ... ...

k_c = 9666.43893412244

STEP 3: Convert Result to Output's Unit

9666.43893412244 Diopter --> No Conversion Required

FINAL ANSWER

9666.43893412244 ≈ 9666.439 Diopter <-- Cutoff Wavenumber

(Calculation completed in 00.004 seconds)

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Created by Ashwin V Pillai

Vellore Institute of Technology (VIT), Vellore

Ashwin V Pillai has created this Calculator and 2 more calculators!

Verified by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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< 15 Transmission Line & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Cutoff Wavenumber in TM and TE Mode Formula

Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance
k_c = (m*pi)/d

What is significance of Cutoff Wavenumber?

Cutoff wavenumber is significant because it marks a boundary between modes of wave propagation. It plays a key role in determining which modes are supported in a given medium and helps guide the design and analysis of waveguide systems, antennas, and other structures involving wave propagation.

How to Calculate Cutoff Wavenumber in TM and TE Mode?

Cutoff Wavenumber in TM and TE Mode calculator uses Cutoff Wavenumber = (Mode Index*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. The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist. Cutoff Wavenumber is denoted by k_c 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 Mode Index (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 -> 9666.439 = (4*pi)/0.0013.

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. The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist and is represented as k_c = (m*pi)/d or Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance. Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers & Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.

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. The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist is calculated using Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance. To calculate Cutoff Wavenumber in TM and TE Mode, you need Mode Index (m) & Parallel Waveguide Distance (d). With our tool, you need to enter the respective value for Mode Index & 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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