Long Wavelength Cutoff Point Calculator

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✖Bandgap Energy of the material, which is the energy difference between the valence band and the conduction band in the material's electronic band structure.ⓘ Bandgap Energy [E_g]

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✖Wavelength Cutoff Point is the point at which is the wavelength at which a material or device ceases to absorb or transmit light efficiently.ⓘ Long Wavelength Cutoff Point [λ_c]

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Formula

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Long Wavelength Cutoff Point

Formula

`"λ"_{"c"} = "[hP]"*"[c]"/"E"_{"g"}`

Example

`"1.1E^-26m"="[hP]"*"[c]"/"18J"`

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Long Wavelength Cutoff Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy
λ_c = [hP]*[c]/E_g
This formula uses 2 Constants, 2 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Wavelength Cutoff Point - (Measured in Meter) - Wavelength Cutoff Point is the point at which is the wavelength at which a material or device ceases to absorb or transmit light efficiently.
Bandgap Energy - (Measured in Joule) - Bandgap Energy of the material, which is the energy difference between the valence band and the conduction band in the material's electronic band structure.

STEP 1: Convert Input(s) to Base Unit

Bandgap Energy: 18 Joule --> 18 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_c = [hP]*[c]/E_g --> [hP]*[c]/18

Evaluating ... ...

λ_c = 1.10358101342875E-26

STEP 3: Convert Result to Output's Unit

1.10358101342875E-26 Meter --> No Conversion Required

FINAL ANSWER

1.10358101342875E-26 ≈ 1.1E-26 Meter <-- Wavelength Cutoff Point

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 25 Optical Detectors Calculators

SNR of Good Avalanche Photodiode ADP Receiver in decibels

Go Signal to Noise Ratio = 10*log10((Multiplication Factor^2*Photocurrent^2)/(2*[Charge-e]*Post Detection Bandwidth*(Photocurrent+Dark Current)*Multiplication Factor^2.3+((4*[BoltZ]*Temperature*Post Detection Bandwidth*1.26)/Load Resistance)))

Photocurrent due to Incident Light

Go Photocurrent = (Incident Power*[Charge-e]*(1-Reflection Coefficient))/([hP]*Frequency Of Incident Light)*(1-exp(-Absorption Coefficient*Width of Absorption Region))

Probability of Detecting Photons

Go Probability of Finding a Photon = ((Variance of Probability Distribution Function^(Number of Incident Photons))*exp(-Variance of Probability Distribution Function))/(Number of Incident Photons!)

Excess Avalanche Noise Factor

Go Excess Avalanche Noise Factor = Multiplication Factor*(1+((1-Impact Ionization Coefficient)/Impact Ionization Coefficient)*((Multiplication Factor-1)/Multiplication Factor)^2)

Total Photodiode Current

Go Output Current = Dark Current*(exp(([Charge-e]*Photodiode Voltage)/(2*[BoltZ]*Temperature))-1)+Photocurrent

Optical Gain of Phototransistors

Go Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power)

Average Number of Photons Detected

Go Average Number Of Photons Detected = (Quantum Efficiency*Average Received Optical Power*Time Period)/(Frequency Of Incident Light*[hP])

Single Pass Phase Shift through Fabry-Perot Amplifier

Go Single-Pass Phase Shift = (pi*(Frequency Of Incident Light-Fabry–Perot Resonant Frequency))/Free Spectral Range of Fabry-Pérot Interferometer

Total Root Mean Square Noise Current

Go Total Root Mean Square Noise Current = sqrt(Total Shot Noise^2+Dark Current Noise^2+Thermal Noise Current^2)

Average Received Optical Power

Go Average Received Optical Power = (20.7*[hP]*Frequency Of Incident Light)/(Time Period*Quantum Efficiency)

Total Power Accepted by Fiber

Go Total Power Accepted by Fiber = Incident Power*(1-(8*Axial Displacement)/(3*pi*Radius of Core))

Multiplied Photocurrent

Go Multiplied Photocurrent = Optical Gain of Phototransistor*Responsivity of Photodetector*Incident Power

Temperature Effect on Dark Current

Go Dark Current in raised temperature = Dark Current*2^((Changed Temperature-Previous Temperature)/10)

Incident Photon Rate

Go Incident Photon Rate = Incident Optical Power/([hP]*Frequency Of Light Wave)

Maximum Photodiode 3 dB Bandwidth

Go Maximum 3db Bandwidth = Carrier Velocity/(2*pi*Depletion Layer Width)

Maximum 3dB Bandwidth of Metal Photodetector

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time*PhotoConductive Gain)

Bandwidth Penalty

Go Post Detection Bandwidth = 1/(2*pi*Load Resistance*Capacitance)

Long Wavelength Cutoff Point

Go Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy

Quantum Efficiency of Photodetector

Go Quantum Efficiency = Number of Electrons/Number of Incident Photons

Multiplication Factor

Go Multiplication Factor = Output Current/Initial Photocurrent

Electron Rate in Detector

Go Electron Rate = Quantum Efficiency*Incident Photon Rate

Transit Time with respect to Minority Carrier Diffusion

Go Diffusion Time = Distance^2/(2*Diffusion Coefficient)

Longest Transit Time

Go Transit Time = Depletion Layer Width/Drift Velocity

3 dB Bandwidth of Metal Photodetectors

Go Maximum 3db Bandwidth = 1/(2*pi*Transit Time)

Detectivity of Photodetector

Go Detectivity = 1/Noise Equivalent Power

Long Wavelength Cutoff Point Formula

Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy
λ_c = [hP]*[c]/E_g

How is long wavelength cutoff point helpful?

It's essential in optics and photonics for characterizing materials, selecting appropriate ones for optical devices, and understanding the behavior of materials in optoelectronic applications like lasers and photodetectors. This equation offers insights into the electronic band structure of materials and the interplay between quantum mechanics and electromagnetism in optical phenomena.

How to Calculate Long Wavelength Cutoff Point?

Long Wavelength Cutoff Point calculator uses Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy to calculate the Wavelength Cutoff Point, Long Wavelength Cutoff Point allows you to calculate the cutoff wavelength for a given material based on its bandgap energy. It's particularly relevant in the design of semiconductor devices and optical components, as the cutoff wavelength determines the range of wavelengths of light that can be efficiently absorbed or transmitted by the material. Wavelength Cutoff Point is denoted by λ_c symbol.

How to calculate Long Wavelength Cutoff Point using this online calculator? To use this online calculator for Long Wavelength Cutoff Point, enter Bandgap Energy (E_g) and hit the calculate button. Here is how the Long Wavelength Cutoff Point calculation can be explained with given input values -> 1.1E-26 = [hP]*[c]/18.

FAQ

What is Long Wavelength Cutoff Point?

Long Wavelength Cutoff Point allows you to calculate the cutoff wavelength for a given material based on its bandgap energy. It's particularly relevant in the design of semiconductor devices and optical components, as the cutoff wavelength determines the range of wavelengths of light that can be efficiently absorbed or transmitted by the material and is represented as λ_c = [hP]*[c]/E_g or Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy. Bandgap Energy of the material, which is the energy difference between the valence band and the conduction band in the material's electronic band structure.

How to calculate Long Wavelength Cutoff Point?

Long Wavelength Cutoff Point allows you to calculate the cutoff wavelength for a given material based on its bandgap energy. It's particularly relevant in the design of semiconductor devices and optical components, as the cutoff wavelength determines the range of wavelengths of light that can be efficiently absorbed or transmitted by the material is calculated using Wavelength Cutoff Point = [hP]*[c]/Bandgap Energy. To calculate Long Wavelength Cutoff Point, you need Bandgap Energy (E_g). With our tool, you need to enter the respective value for Bandgap Energy 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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