## Cutoff Wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
λcm = (2*nr*pd)/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
λcm = (2*nr*pd)/m --> (2*2*0.2123)/4
Evaluating ... ...
λcm = 0.2123
STEP 3: Convert Result to Output's Unit
0.2123 Meter -->21.23 Centimeter (Check conversion here)
21.23 Centimeter <-- Cutoff Wavelength
(Calculation completed in 00.004 seconds)
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## Credits

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
Characteristic Impedance = sqrt(Magnetic Permeability*pi*10^-7/Dielectric Permitivitty)*(Plate Distance/Plate Width)
Total Resistance of Coaxial Cable
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
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
Conductance of Coaxial Cable = (2*pi*Electrical Conductivity)/ln(Outer Radius of Coaxial Cable/Inner Radius of Coaxial Cable)
Cutoff Angular Frequency = (Mode Number*pi*[c])/(Refractive Index*Plate Distance)
Inner Resistance of Coaxial Cable
Inner Resistance of Coaxial Cable = 1/(2*pi*Inner Radius of Coaxial Cable*Skin Depth*Electrical Conductivity)
Outer Resistance of Coaxial Cable
Outer Resistance of Coaxial Cable = 1/(2*pi*Skin Depth*Outer Radius of Coaxial Cable*Electrical Conductivity)
Inductance between Conductors
Conductor Inductance = Magnetic Permeability*pi*10^-7*Plate Distance/(Plate Width)
Magnitude of Wavevector
Wave Vector = Angular Frequency*sqrt(Magnetic Permeability*Dielectric Permitivitty)
Skin Effect Resistivity
Skin Effect Resistivity = 2/(Electrical Conductivity*Skin Depth*Plate Width)
Cutoff Wavelength
Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
Phase Velocity in Microstrip Line
Phase Velocity = [c]/sqrt(Dielectric Permitivitty)

## Cutoff Wavelength Formula

Cutoff Wavelength = (2*Refractive Index*Plate Distance)/Mode Number
λcm = (2*nr*pd)/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 λcm symbol.

How to calculate Cutoff Wavelength using this online calculator? To use this online calculator for Cutoff Wavelength, enter Refractive Index (nr), Plate Distance (pd) & 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 λcm = (2*nr*pd)/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 (nr), Plate Distance (pd) & 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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