Diffusion Length of Transition Region Calculator

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Devices with Optical Components

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Photonics Devices

✖Optical current is a current sensor for measuring direct current. By using a single-ended optical fiber around the current conductor.ⓘ Optical Current [i_opt]			+10% -10%
✖A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.ⓘ Charge [q]			+10% -10%
✖The PN Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.ⓘ PN Junction Area [A_pn]			+10% -10%
✖Optical Generation Rate is the number of electrons generated at each point in the device due to the absorption of photons.ⓘ Optical Generation Rate [g_op]			+10% -10%
✖Transition width is defined as when the drain-to-source voltage increases, the triode region transitions to the saturation region.ⓘ Transition Width [W]			+10% -10%
✖Length of P-Side Junction is defined as the average length a carrier moves between generation and recombination.ⓘ Length of P-Side Junction [L_p]			+10% -10%

✖Diffusion Length of Transition Region is defined as the average distance that the excess carriers can cover before they recombine.ⓘ Diffusion Length of Transition Region [L_dif]

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Formula

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Diffusion Length of Transition Region

Formula

`"L"_{"dif"} = "i"_{"opt"}/("q"*"A"_{"pn"}*"g"_{"op"})-("W"+"L"_{"p"})`

Example

`"5.477816μm"="0.60mA"/("0.3C"*"4.8µm²"*"2.9e13")-("6.79μm"+"2.1μm")`

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Diffusion Length of Transition Region Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)
L_dif = i_opt/(q*A_pn*g_op)-(W+L_p)
This formula uses 7 Variables

Variables Used

Diffusion Length of Transition Region - (Measured in Meter) - Diffusion Length of Transition Region is defined as the average distance that the excess carriers can cover before they recombine.
Optical Current - (Measured in Ampere) - Optical current is a current sensor for measuring direct current. By using a single-ended optical fiber around the current conductor.
Charge - (Measured in Coulomb) - A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.
PN Junction Area - (Measured in Square Meter) - The PN Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode.
Optical Generation Rate - Optical Generation Rate is the number of electrons generated at each point in the device due to the absorption of photons.
Transition Width - (Measured in Meter) - Transition width is defined as when the drain-to-source voltage increases, the triode region transitions to the saturation region.
Length of P-Side Junction - (Measured in Meter) - Length of P-Side Junction is defined as the average length a carrier moves between generation and recombination.

STEP 1: Convert Input(s) to Base Unit

Optical Current: 0.6 Milliampere --> 0.0006 Ampere (Check conversion here)
Charge: 0.3 Coulomb --> 0.3 Coulomb No Conversion Required
PN Junction Area: 4.8 Square Micrometer --> 4.8E-12 Square Meter (Check conversion here)
Optical Generation Rate: 29000000000000 --> No Conversion Required
Transition Width: 6.79 Micrometer --> 6.79E-06 Meter (Check conversion here)
Length of P-Side Junction: 2.1 Micrometer --> 2.1E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_dif = i_opt/(q*A_pn*g_op)-(W+L_p) --> 0.0006/(0.3*4.8E-12*29000000000000)-(6.79E-06+2.1E-06)

Evaluating ... ...

L_dif = 5.47781609195402E-06

STEP 3: Convert Result to Output's Unit

5.47781609195402E-06 Meter -->5.47781609195402 Micrometer (Check conversion here)

FINAL ANSWER

5.47781609195402 ≈ 5.477816 Micrometer <-- Diffusion Length of Transition Region

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 14 Devices with Optical Components Calculators

PN Junction Capacitance

Go Junction Capacitance = PN Junction Area/2*sqrt((2*[Charge-e]*Relative Permittivity*[Permitivity-silicon])/(Voltage Across PN Junction-(Reverse Bias Voltage))*((Acceptor Concentration*Donor Concentration)/(Acceptor Concentration+Donor Concentration)))

Electron Concentration under Unbalanced Condition

Go Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature))

Diffusion Length of Transition Region

Go Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)

Current Due to Optically Generated Carrier

Go Optical Current = Charge*PN Junction Area*Optical Generation Rate*(Transition Width+Diffusion Length of Transition Region+Length of P-Side Junction)

Peak Retardation

Go Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage

Maximum Acceptance Angle of Compound Lens

Go Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))

Effective Density of States in Conduction Band

Go Effective Density of States = 2*(2*pi*Effective Mass of Electron*[BoltZ]*Absolute Temperature/[hP]^2)^(3/2)

Diffusion Coefficient of Electron

Go Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]

Diffraction using Fresnel-Kirchoff Formula

Go Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)

Fringe Spacing given Apex Angle

Go Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))

Excitation Energy

Go Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2)

Brewsters Angle

Go Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)

Angle of Rotation of Plane of Polarization

Go Angle of Rotation = 1.8*Magnetic Flux Density*Length of Medium

Apex Angle

Go Apex Angle = tan(Alpha)

Diffusion Length of Transition Region Formula

Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)
L_dif = i_opt/(q*A_pn*g_op)-(W+L_p)

What is the physical significance of diffusion length?

The diffusion length is the average distance that the excess carriers can cover before they recombine. Diffusion length depends on the lifetime and mobility of the carriers.

How to Calculate Diffusion Length of Transition Region?

Diffusion Length of Transition Region calculator uses Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction) to calculate the Diffusion Length of Transition Region, The Diffusion Length of Transition Region formula is defined as the average distance that the excess carriers can cover before they recombine. Diffusion length depends on the lifetime and mobility of the carriers. Diffusion Length of Transition Region is denoted by L_dif symbol.

How to calculate Diffusion Length of Transition Region using this online calculator? To use this online calculator for Diffusion Length of Transition Region, enter Optical Current (i_opt), Charge (q), PN Junction Area (A_pn), Optical Generation Rate (g_op), Transition Width (W) & Length of P-Side Junction (L_p) and hit the calculate button. Here is how the Diffusion Length of Transition Region calculation can be explained with given input values -> 5.5E+6 = 0.0006/(0.3*4.8E-12*29000000000000)-(6.79E-06+2.1E-06).

FAQ

What is Diffusion Length of Transition Region?

The Diffusion Length of Transition Region formula is defined as the average distance that the excess carriers can cover before they recombine. Diffusion length depends on the lifetime and mobility of the carriers and is represented as L_dif = i_opt/(q*A_pn*g_op)-(W+L_p) or Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction). Optical current is a current sensor for measuring direct current. By using a single-ended optical fiber around the current conductor, A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter, The PN Junction Area is the boundary or interface area between two types of semiconductor materials in a pn diode, Optical Generation Rate is the number of electrons generated at each point in the device due to the absorption of photons, Transition width is defined as when the drain-to-source voltage increases, the triode region transitions to the saturation region & Length of P-Side Junction is defined as the average length a carrier moves between generation and recombination.

How to calculate Diffusion Length of Transition Region?

The Diffusion Length of Transition Region formula is defined as the average distance that the excess carriers can cover before they recombine. Diffusion length depends on the lifetime and mobility of the carriers is calculated using Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction). To calculate Diffusion Length of Transition Region, you need Optical Current (i_opt), Charge (q), PN Junction Area (A_pn), Optical Generation Rate (g_op), Transition Width (W) & Length of P-Side Junction (L_p). With our tool, you need to enter the respective value for Optical Current, Charge, PN Junction Area, Optical Generation Rate, Transition Width & Length of P-Side Junction 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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