Total Depletion for WDM System Calculator

✖Number of Channels refers to tunable optical filter is used to select a single channel among the N channels incident on it.ⓘ Number of Channels [N]			+10% -10%
✖Raman Gain Coefficient typically used as a measure of the strength of the Raman scattering process within the optical fiber.ⓘ Raman Gain Coefficient [g_R[Ωm]]			+10% -10%
✖Channel Power refers to the amount of power carried by an individual channel within a multiplexed signal.ⓘ Channel Power [P_ch]			+10% -10%
✖The Effective Length is the length which resists against buckling.ⓘ Effective Length [L_eff]			+10% -10%
✖Effective Area a measure of the cross-sectional area through which optical power is effectively confined and guided along the fiber.ⓘ Effective Area [A_eff]			+10% -10%

✖Total Depletion for a WDM System refers to the complete or near-complete depletion of charge carriers within a semiconductor device, that is used in the system.ⓘ Total Depletion for WDM System [D_R]

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Total Depletion for WDM System

Formula

`"D"_{"R"} = sum(x,2,"N",("g"_{"R"}"[Ωm]")*"P"_{"ch"}*"L"_{"eff"}/"A"_{"eff"})`

Example

`"3412.723"=sum(x,2,"8","8rad/m"*"5.7W"*"50.25m"/"4.7m²")`

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Total Depletion for WDM System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area)
D_R = sum(x,2,N,g_R[Ωm]*P_ch*L_eff/A_eff)
This formula uses 1 Functions, 6 Variables

Functions Used

sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Total Depletion for a WDM System - Total Depletion for a WDM System refers to the complete or near-complete depletion of charge carriers within a semiconductor device, that is used in the system.
Number of Channels - Number of Channels refers to tunable optical filter is used to select a single channel among the N channels incident on it.
Raman Gain Coefficient - (Measured in Radian per Meter) - Raman Gain Coefficient typically used as a measure of the strength of the Raman scattering process within the optical fiber.
Channel Power - (Measured in Watt) - Channel Power refers to the amount of power carried by an individual channel within a multiplexed signal.
Effective Length - (Measured in Meter) - The Effective Length is the length which resists against buckling.
Effective Area - (Measured in Square Meter) - Effective Area a measure of the cross-sectional area through which optical power is effectively confined and guided along the fiber.

STEP 1: Convert Input(s) to Base Unit

Number of Channels: 8 --> No Conversion Required
Raman Gain Coefficient: 8 Radian per Meter --> 8 Radian per Meter No Conversion Required
Channel Power: 5.7 Watt --> 5.7 Watt No Conversion Required
Effective Length: 50.25 Meter --> 50.25 Meter No Conversion Required
Effective Area: 4.7 Square Meter --> 4.7 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_R = sum(x,2,N,g_R[Ωm]*P_ch*L_eff/A_eff) --> sum(x,2,8,8*5.7*50.25/4.7)

Evaluating ... ...

D_R = 3412.72340425532

STEP 3: Convert Result to Output's Unit

3412.72340425532 --> No Conversion Required

FINAL ANSWER

3412.72340425532 ≈ 3412.723 <-- Total Depletion for a WDM System

(Calculation completed in 00.004 seconds)

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Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

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Total Depletion for WDM System Formula

Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area)
D_R = sum(x,2,N,g_R[Ωm]*P_ch*L_eff/A_eff)

What is Total Depletion for WDM System?

In a WDM system, photodetectors are crucial components for converting optical signals into electrical signals. The term "total depletion" often refers to biasing a photodetector to a state where the depletion region extends across the entire active region of the device. This state ensures that all or most of the charge carriers (electrons and holes) are depleted, leaving only a thin region near the junction where charge carriers are available for photogeneration. In summary, "total depletion for a WDM system" refers to biasing semiconductor devices to a state where the depletion region spans the entire active region of the device, optimizing their performance for detecting optical signals in the context of wavelength division multiplexing.

How to Calculate Total Depletion for WDM System?

Total Depletion for WDM System calculator uses Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area) to calculate the Total Depletion for a WDM System, The Total Depletion for WDM System formula refers to the complete or near-complete depletion of charge carriers within a semiconductor device, such as a photodetector or a modulator, that is used in the system. Total Depletion for a WDM System is denoted by D_R symbol.

How to calculate Total Depletion for WDM System using this online calculator? To use this online calculator for Total Depletion for WDM System, enter Number of Channels (N), Raman Gain Coefficient (g_R[Ωm]), Channel Power (P_ch), Effective Length (L_eff) & Effective Area (A_eff) and hit the calculate button. Here is how the Total Depletion for WDM System calculation can be explained with given input values -> 3412.723 = sum(x,2,8,8*5.7*50.25/4.7).

FAQ

What is Total Depletion for WDM System?

The Total Depletion for WDM System formula refers to the complete or near-complete depletion of charge carriers within a semiconductor device, such as a photodetector or a modulator, that is used in the system and is represented as D_R = sum(x,2,N,g_R[Ωm]*P_ch*L_eff/A_eff) or Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area). Number of Channels refers to tunable optical filter is used to select a single channel among the N channels incident on it, Raman Gain Coefficient typically used as a measure of the strength of the Raman scattering process within the optical fiber, Channel Power refers to the amount of power carried by an individual channel within a multiplexed signal, The Effective Length is the length which resists against buckling & Effective Area a measure of the cross-sectional area through which optical power is effectively confined and guided along the fiber.

How to calculate Total Depletion for WDM System?

The Total Depletion for WDM System formula refers to the complete or near-complete depletion of charge carriers within a semiconductor device, such as a photodetector or a modulator, that is used in the system is calculated using Total Depletion for a WDM System = sum(x,2,Number of Channels,Raman Gain Coefficient*Channel Power*Effective Length/Effective Area). To calculate Total Depletion for WDM System, you need Number of Channels (N), Raman Gain Coefficient (g_R[Ωm]), Channel Power (P_ch), Effective Length (L_eff) & Effective Area (A_eff). With our tool, you need to enter the respective value for Number of Channels, Raman Gain Coefficient, Channel Power, Effective Length & Effective Area 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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