Guided Modes Number Calculator

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Transmission Measurements

C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

✖Radius of Core is the length measured from the center of the core to the core-cladding interface.ⓘ Radius of Core [r_core]			+10% -10%
✖Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Wavelength of Light [λ]			+10% -10%
✖The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.ⓘ Refractive Index of Core [η_core]			+10% -10%
✖Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.ⓘ Refractive Index of Cladding [η_clad]			+10% -10%

✖Guided Modes Number in a waveguide is to describe the different allowed electromagnetic modes or propagation patterns within the waveguide structure.ⓘ Guided Modes Number [M_g]

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Formula

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Guided Modes Number

Formula

`"M"_{"g"} = ((pi*"r"_{"core"})/"λ")^2*("η"_{"core"}^2-"η"_{"clad"}^2)`

Example

`"112.2593"=((pi*"13μm")/"1.55μm")^2*(("1.335")^2-("1.273")^2)`

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Guided Modes Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2)
M_g = ((pi*r_core)/λ)^2*(η_core^2-η_clad^2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Guided Modes Number - Guided Modes Number in a waveguide is to describe the different allowed electromagnetic modes or propagation patterns within the waveguide structure.
Radius of Core - (Measured in Meter) - Radius of Core is the length measured from the center of the core to the core-cladding interface.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.
Refractive Index of Core - The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.
Refractive Index of Cladding - Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.

STEP 1: Convert Input(s) to Base Unit

Radius of Core: 13 Micrometer --> 1.3E-05 Meter (Check conversion here)
Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)
Refractive Index of Core: 1.335 --> No Conversion Required
Refractive Index of Cladding: 1.273 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_g = ((pi*r_core)/λ)^2*(η_core^2-η_clad^2) --> ((pi*1.3E-05)/1.55E-06)^2*(1.335^2-1.273^2)

Evaluating ... ...

M_g = 112.259300102941

STEP 3: Convert Result to Output's Unit

112.259300102941 --> No Conversion Required

FINAL ANSWER

112.259300102941 ≈ 112.2593 <-- Guided Modes Number

(Calculation completed in 00.004 seconds)

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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Guided Modes Number Formula

Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2)
M_g = ((pi*r_core)/λ)^2*(η_core^2-η_clad^2)

Why is Guided Nodes Number important?

It signifies the different propagation patterns or modes of electromagnetic waves within waveguides like optical fibers. Each guided mode represents a unique way that light can travel through the waveguide.

How to Calculate Guided Modes Number?

Guided Modes Number calculator uses Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2) to calculate the Guided Modes Number, Guided Modes Number, often referred to as the mode number, is a term used in the context of waveguides, such as optical fibers or dielectric waveguides, to describe the different allowed electromagnetic modes or propagation patterns within the waveguide structure. Guided Modes Number is denoted by M_g symbol.

How to calculate Guided Modes Number using this online calculator? To use this online calculator for Guided Modes Number, enter Radius of Core (r_core), Wavelength of Light (λ), Refractive Index of Core (η_core) & Refractive Index of Cladding (η_clad) and hit the calculate button. Here is how the Guided Modes Number calculation can be explained with given input values -> 112.2593 = ((pi*1.3E-05)/1.55E-06)^2*(1.335^2-1.273^2).

FAQ

What is Guided Modes Number?

Guided Modes Number, often referred to as the mode number, is a term used in the context of waveguides, such as optical fibers or dielectric waveguides, to describe the different allowed electromagnetic modes or propagation patterns within the waveguide structure and is represented as M_g = ((pi*r_core)/λ)^2*(η_core^2-η_clad^2) or Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2). Radius of Core is the length measured from the center of the core to the core-cladding interface, Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum, The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other & Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.

How to calculate Guided Modes Number?

Guided Modes Number, often referred to as the mode number, is a term used in the context of waveguides, such as optical fibers or dielectric waveguides, to describe the different allowed electromagnetic modes or propagation patterns within the waveguide structure is calculated using Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2). To calculate Guided Modes Number, you need Radius of Core (r_core), Wavelength of Light (λ), Refractive Index of Core (η_core) & Refractive Index of Cladding (η_clad). With our tool, you need to enter the respective value for Radius of Core, Wavelength of Light, Refractive Index of Core & Refractive Index of Cladding 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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