Fourth Intermodulation Product in Four Wave Mixing Calculator

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Fiber Optic Parameters

C-V Actions of Optics Transmission

Optical Detectors

Transmission Measurements

✖First Frequency is one of the frequencies travelling together in an optical fiber.ⓘ First Frequency [v_i]			+10% -10%
✖Second Frequency is one of the frequencies travelling together in an optical fiber.ⓘ Second Frequency [v_j]			+10% -10%
✖Third Frequency is one of the frequencies travelling together in an optical fiber.ⓘ Third Frequency [v_k]			+10% -10%

✖Intermodulation Product is the result of the interaction between the signals within the optical fiber.ⓘ Fourth Intermodulation Product in Four Wave Mixing [v_ijk]

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Formula

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Fourth Intermodulation Product in Four Wave Mixing

Formula

`"v"_{"ijk"} = "v"_{"i"}+"v"_{"j"}-"v"_{"k"}`

Example

`"15Hz"="9.01Hz"+"11.02Hz"-"5.03Hz"`

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Fourth Intermodulation Product in Four Wave Mixing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intermodulation Product = First Frequency+Second Frequency-Third Frequency
v_ijk = v_i+v_j-v_k
This formula uses 4 Variables

Variables Used

Intermodulation Product - (Measured in Hertz) - Intermodulation Product is the result of the interaction between the signals within the optical fiber.
First Frequency - (Measured in Hertz) - First Frequency is one of the frequencies travelling together in an optical fiber.
Second Frequency - (Measured in Hertz) - Second Frequency is one of the frequencies travelling together in an optical fiber.
Third Frequency - (Measured in Hertz) - Third Frequency is one of the frequencies travelling together in an optical fiber.

STEP 1: Convert Input(s) to Base Unit

First Frequency: 9.01 Hertz --> 9.01 Hertz No Conversion Required
Second Frequency: 11.02 Hertz --> 11.02 Hertz No Conversion Required
Third Frequency: 5.03 Hertz --> 5.03 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_ijk = v_i+v_j-v_k --> 9.01+11.02-5.03

Evaluating ... ...

v_ijk = 15

STEP 3: Convert Result to Output's Unit

15 Hertz --> No Conversion Required

FINAL ANSWER

15 Hertz <-- Intermodulation Product

(Calculation completed in 00.006 seconds)

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Credits

Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

Vaidehi Singh has created this Calculator and 25+ more calculators!

Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has verified this Calculator and 10+ more calculators!

< 10+ Fiber Optic Parameters Calculators

Total System Rise Time

Go Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2)

Power Penalty Arising from Chromatic Dispersion

Go Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2)

Reflected Power

Go Reflected Power of the Fiber = Incident Power*((Refractive Index of Core-Refractive Index of Air)/(Refractive Index of Core+Refractive Index of Air))^2

Refractive Index of Material Given Optical Power

Go Refractive Index of Core = Ordinary Refractive Index+Non Linear Index Coefficient*(Incident Optical Power/Effective Area)

Carrier to Noise Ratio

Go Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)

Maximum Nominal Channel Power

Go Maximum Nominal Channel Power in dB = Class 3A Laser Output Power in dB-10*log10(Wavelength Division Multiplexing Channels)

Total Dispersion

Go Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2)

Fourth Intermodulation Product in Four Wave Mixing

Go Intermodulation Product = First Frequency+Second Frequency-Third Frequency

Fiber Length Given Time Difference

Go Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core)

Number of Mixing Products in Four Wave Mixing

Go Number of Mixing Products = Number of Frequencies^2/2*(Number of Frequencies-1)

Fourth Intermodulation Product in Four Wave Mixing Formula

Intermodulation Product = First Frequency+Second Frequency-Third Frequency
v_ijk = v_i+v_j-v_k

What are the effects of Fourth Intermodulation Product in FourWave Mixing?

In Wavelength Division Multiplexing (WDM) systems, the Fourth Intermodulation Product can cause interference and cross-talk between different wavelength channels. This can degrade the performance of the system. The Fourth Intermodulation Product can lead to signal distortion in coherent phase-shift-keying–frequency-division-multiplexing transmission. The demodulated signal deviation in differential phase-shift-keying detection is calculated. The design of dense wavelength-division-multiplexed systems requires an accurate knowledge of the four-wave mixing (FWM), which gives rise to intermodulation effects. This is especially important when using very low-dispersion fibers. FWM can cause an imbalance of channel powers in WDM systems. This can affect the overall performance and efficiency of the system.

How to Calculate Fourth Intermodulation Product in Four Wave Mixing?

Fourth Intermodulation Product in Four Wave Mixing calculator uses Intermodulation Product = First Frequency+Second Frequency-Third Frequency to calculate the Intermodulation Product, Fourth Intermodulation Product in Four Wave Mixing occurs when three frequencies interact in a nonlinear medium, they give rise to a fourth frequency which is formed by the scattering of the incident photons, producing the fourth photon. Intermodulation Product is denoted by v_ijk symbol.

How to calculate Fourth Intermodulation Product in Four Wave Mixing using this online calculator? To use this online calculator for Fourth Intermodulation Product in Four Wave Mixing, enter First Frequency (v_i), Second Frequency (v_j) & Third Frequency (v_k) and hit the calculate button. Here is how the Fourth Intermodulation Product in Four Wave Mixing calculation can be explained with given input values -> 16 = 9.01+11.02-5.03.

FAQ

What is Fourth Intermodulation Product in Four Wave Mixing?

Fourth Intermodulation Product in Four Wave Mixing occurs when three frequencies interact in a nonlinear medium, they give rise to a fourth frequency which is formed by the scattering of the incident photons, producing the fourth photon and is represented as v_ijk = v_i+v_j-v_k or Intermodulation Product = First Frequency+Second Frequency-Third Frequency. First Frequency is one of the frequencies travelling together in an optical fiber, Second Frequency is one of the frequencies travelling together in an optical fiber & Third Frequency is one of the frequencies travelling together in an optical fiber.

How to calculate Fourth Intermodulation Product in Four Wave Mixing?

Fourth Intermodulation Product in Four Wave Mixing occurs when three frequencies interact in a nonlinear medium, they give rise to a fourth frequency which is formed by the scattering of the incident photons, producing the fourth photon is calculated using Intermodulation Product = First Frequency+Second Frequency-Third Frequency. To calculate Fourth Intermodulation Product in Four Wave Mixing, you need First Frequency (v_i), Second Frequency (v_j) & Third Frequency (v_k). With our tool, you need to enter the respective value for First Frequency, Second Frequency & Third Frequency 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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