Cutoff Wavelength Calculator

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Guided Waves in Field Theory

Electromagnetic Radiation and Antennas

Magnetic Forces and Materials

✖Refractive index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.ⓘ Refractive Index [n_r]			+10% -10%
✖Plate Distance typically refers to the separation between the conductive elements.ⓘ Plate Distance [p_d]			+10% -10%
✖Mode Number the mode number indicates the number of half-wavelengths that fit into the given space.ⓘ Mode Number [m]			+10% -10%

✖Cutoff Wavelength is defined as the free-space wavelength at which cutoff for mode m occurs.ⓘ Cutoff Wavelength [λ_cm]

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Formula

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Cutoff Wavelength

Formula

`"λ"_{"cm"} = (2*"n"_{"r"}*"p"_{"d"})/"m"`

Example

`"21.23cm"=(2*"2"*"21.23cm")/"4"`

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Cutoff Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
λ_cm = (2*n_r*p_d)/m
This formula uses 4 Variables

Variables Used

Cutoff Wavelength - (Measured in Meter) - Cutoff Wavelength is defined as the free-space wavelength at which cutoff for mode m occurs.
Refractive Index - Refractive index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.
Plate Distance - (Measured in Meter) - Plate Distance typically refers to the separation between the conductive elements.
Mode Number - Mode Number the mode number indicates the number of half-wavelengths that fit into the given space.

STEP 1: Convert Input(s) to Base Unit

Refractive Index: 2 --> No Conversion Required
Plate Distance: 21.23 Centimeter --> 0.2123 Meter (Check conversion here)
Mode Number: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_cm = (2*n_r*p_d)/m --> (2*2*0.2123)/4

Evaluating ... ...

λ_cm = 0.2123

STEP 3: Convert Result to Output's Unit

0.2123 Meter -->21.23 Centimeter (Check conversion here)

FINAL ANSWER

21.23 Centimeter <-- Cutoff Wavelength

(Calculation completed in 00.020 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 12 Guided Waves in Field Theory Calculators

Characteristic Impedance of Line

Go Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)

Total Resistance of Coaxial Cable

Go Total Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Electrical Conductivity)*(1/Inner Radius of Coaxial Cable+1/Outer Radius of Coaxial Cable)

Inductance per unit Length of Coaxial Cable

Go Inductance per unit length of Coaxial Cable = Magnetic Permeability/2*pi*ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Conductance of Coaxial Cable

Go Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)

Radian Cutoff Angular Frequency

Go Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)

Inner Resistance of Coaxial Cable

Go Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)

Outer Resistance of Coaxial Cable

Go Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)

Inductance between Conductors

Go Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)

Magnitude of Wavevector

Go Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)

Skin Effect Resistivity

Go Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)

Cutoff Wavelength

Go Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number

Phase Velocity in Microstrip Line

Go Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

Cutoff Wavelength Formula

Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
λ_cm = (2*n_r*p_d)/m

How does cutoff wavelength change with core refractive index in a single-mode waveguide?

As the refractive index of the core material increases, the critical angle also increases. This means that light waves with shorter wavelengths can be guided by the waveguide, and the cutoff wavelength decreases. This is why single-mode fibers are typically made of materials with high refractive indices, such as silica glass.

How to Calculate Cutoff Wavelength?

Cutoff Wavelength calculator uses Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number to calculate the Cutoff Wavelength, The Cutoff Wavelength formula is used to calculate the cutoff wavelength of a waveguide, such as an optical fiber, for a given mode number m. The cutoff wavelength is the wavelength at which a particular mode ceases to be guided by the waveguide. Cutoff Wavelength is denoted by λ_cm symbol.

How to calculate Cutoff Wavelength using this online calculator? To use this online calculator for Cutoff Wavelength, enter Refractive Index (n_r), Plate Distance (p_d) & Mode Number (m) and hit the calculate button. Here is how the Cutoff Wavelength calculation can be explained with given input values -> 2124 = (2*2*0.2123)/4.

FAQ

What is Cutoff Wavelength?

The Cutoff Wavelength formula is used to calculate the cutoff wavelength of a waveguide, such as an optical fiber, for a given mode number m. The cutoff wavelength is the wavelength at which a particular mode ceases to be guided by the waveguide and is represented as λ_cm = (2*n_r*p_d)/m or Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number. Refractive index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum, Plate Distance typically refers to the separation between the conductive elements & Mode Number the mode number indicates the number of half-wavelengths that fit into the given space.

How to calculate Cutoff Wavelength?

The Cutoff Wavelength formula is used to calculate the cutoff wavelength of a waveguide, such as an optical fiber, for a given mode number m. The cutoff wavelength is the wavelength at which a particular mode ceases to be guided by the waveguide is calculated using Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number. To calculate Cutoff Wavelength, you need Refractive Index (n_r), Plate Distance (p_d) & Mode Number (m). With our tool, you need to enter the respective value for Refractive Index, Plate Distance & Mode Number 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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