✖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 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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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 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 00.004 seconds)

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< 21 Electrowave Dynamics Calculators

Magnetic Force by Lorentz Force Equation

Go Magnetic Force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Incidence Angle)))

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)

Resistance of Cylindrical Conductor

Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)

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)

Magnetization using Magnetic Field Strength, and Magnetic Flux Density

Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength

Magnetic Flux Density using Magnetic Field Strength, and Magnetization

Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)

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

Absolute Permeability using Relative Permeability and Permeability of Free Space

Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]

Phase Velocity in Microstrip Line

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

Free Space Magnetic Flux Density

Go Free Space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength

Internal Inductance of Long Straight Wire

Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)

Magnetomotive Force given Reluctance and Magnetic Flux

Go Magnetomotive Voltage = Magnetic Flux*Reluctance

Magnetic Susceptibility using Relative Permeability

Go Magnetic Susceptibility = Magnetic Permeability-1

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, Cutoff Wavelength refers to the longest wavelength that can propagate effectively in a waveguide or transmission line, determined by the physical dimensions and operating frequency of the structure. 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?

Cutoff Wavelength refers to the longest wavelength that can propagate effectively in a waveguide or transmission line, determined by the physical dimensions and operating frequency of the structure 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 indicates the number of half-wavelengths that fit into the given space.

How to calculate Cutoff Wavelength?

Cutoff Wavelength refers to the longest wavelength that can propagate effectively in a waveguide or transmission line, determined by the physical dimensions and operating frequency of the structure 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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