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Cutoff Wavenumber in TM and TE Mode Formula

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The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist. Check FAQs

k c = \frac{m \cdot π}{d}

k_c - Cutoff Wavenumber?m - Mode Index?d - Parallel Waveguide Distance?π - Archimedes' constant?

Cutoff Wavenumber in TM and TE Mode Example

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Here is how the Cutoff Wavenumber in TM and TE Mode equation looks like with Values.

Here is how the Cutoff Wavenumber in TM and TE Mode equation looks like with Units.

Here is how the Cutoff Wavenumber in TM and TE Mode equation looks like.

9666.4389 = \frac{4 \cdot 3.1416}{0.0013}

9666.4389Diopter = \frac{4 \cdot 3.1416}{0.0013m}

9666.4389 = \frac{4 \cdot 3.1416}{0.0013}

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Cutoff Wavenumber in TM and TE Mode Solution

Follow our step by step solution on how to calculate Cutoff Wavenumber in TM and TE Mode?

FIRST Step Consider the formula

k c = \frac{m \cdot π}{d}

Next Step Substitute values of Variables

∴

k c = \frac{4 \cdot π}{0.0013m}

Next Step Substitute values of Constants

∴

k c = \frac{4 \cdot 3.1416}{0.0013m}

Next Step Prepare to Evaluate

∴

k c = \frac{4 \cdot 3.1416}{0.0013}

Next Step Evaluate

∴

k c = 9666.43893412244Diopter

LAST Step Rounding Answer

∴

k c = 9666.4389Diopter

Cutoff Wavenumber in TM and TE Mode Formula Elements

Variables

Constants

Cutoff Wavenumber

The cutoff wavenumber is the reciprocal of the wavelength above which the waveguide ceases to exist.

Symbol: k_c

Measurement: Wave NumberUnit: Diopter

Note: Value can be positive or negative.

Formulas to find Cutoff Wavenumber

Mode Index

Mode Index refers to a parameter used to describe the propagation characteristics of guided modes in optical waveguides or fibers.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mode Index

Parallel Waveguide Distance

Parallel waveguide distance refers to the separation or spacing between two parallel conductors in a transmission line or antenna system.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Parallel Waveguide Distance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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V P = \sqrt{\frac{2 \cdot ω}{R \cdot C}}

Go Voltage Maxima

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How to Evaluate Cutoff Wavenumber in TM and TE Mode?

Cutoff Wavenumber in TM and TE Mode evaluator uses Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance to evaluate 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 evaluate Cutoff Wavenumber in TM and TE Mode using this online evaluator? To use this online evaluator for Cutoff Wavenumber in TM and TE Mode, enter Mode Index (m) & Parallel Waveguide Distance (d) and hit the calculate button.

FAQs on Cutoff Wavenumber in TM and TE Mode

What is the formula to find Cutoff Wavenumber in TM and TE Mode?

The formula of Cutoff Wavenumber in TM and TE Mode is expressed as Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance. Here is an example- 9666.439 = (4*pi)/0.0013.

How to calculate Cutoff Wavenumber in TM and TE Mode?

With Mode Index (m) & Parallel Waveguide Distance (d) we can find Cutoff Wavenumber in TM and TE Mode using the formula - Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance. This formula also uses Archimedes' constant .

Can the Cutoff Wavenumber in TM and TE Mode be negative?

Yes, the Cutoff Wavenumber in TM and TE Mode, measured in Wave Number can be negative.

Which unit is used to measure Cutoff Wavenumber in TM and TE Mode?

Cutoff Wavenumber in TM and TE Mode is usually measured using the Diopter[Diopter] for Wave Number. Kayser[Diopter], 1 per Meter[Diopter] are the few other units in which Cutoff Wavenumber in TM and TE Mode can be measured.

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