Round Trip Gain Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Lasers

Devices with Optical Components

Photonics Devices

✖Reflectances refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface.ⓘ Reflectances [R₁]			+10% -10%
✖Reflectances Separated by L refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface.ⓘ Reflectances Separated by L [R₂]			+10% -10%
✖Signal Gain Coefficient is a parameter used to describe the amplification of an optical signal in a medium, typically within the context of lasers or optical amplifiers.ⓘ Signal Gain Coefficient [k_s]			+10% -10%
✖Effective Loss Coefficient is used to describe the attenuation or loss of a signal as it travels through a medium or a transmission line.ⓘ Effective Loss Coefficient [γ_eff]			+10% -10%
✖Length of Laser Cavity is a crucial parameter in determining the properties and characteristics of a laser system.ⓘ Length of Laser Cavity [L_l]			+10% -10%

✖Round Trip Gain is a key parameter in determining the threshold conditions for lasing in a laser system.ⓘ Round Trip Gain [G]

⎘ Copy

👎

Formula

✖

Round Trip Gain

Formula

`"G" = "R"_{"1"}*"R"_{"2"}*(exp(2*("k"_{"s"}-"γ"_{"eff"})*"L"_{"l"}))`

Example

`"3E^-16"="2.41"*"3.01"*(exp(2*("1.502"-"2.4")*"21m"))`

Calculator

LaTeX

Reset

👍

Download Lasers Formulas PDF PDF Image

Round Trip Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity))
G = R₁*R₂*(exp(2*(k_s-γ_eff)*L_l))
This formula uses 1 Functions, 6 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Round Trip Gain - Round Trip Gain is a key parameter in determining the threshold conditions for lasing in a laser system.
Reflectances - Reflectances refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface.
Reflectances Separated by L - Reflectances Separated by L refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface.
Signal Gain Coefficient - Signal Gain Coefficient is a parameter used to describe the amplification of an optical signal in a medium, typically within the context of lasers or optical amplifiers.
Effective Loss Coefficient - Effective Loss Coefficient is used to describe the attenuation or loss of a signal as it travels through a medium or a transmission line.
Length of Laser Cavity - (Measured in Meter) - Length of Laser Cavity is a crucial parameter in determining the properties and characteristics of a laser system.

STEP 1: Convert Input(s) to Base Unit

Reflectances: 2.41 --> No Conversion Required
Reflectances Separated by L: 3.01 --> No Conversion Required
Signal Gain Coefficient: 1.502 --> No Conversion Required
Effective Loss Coefficient: 2.4 --> No Conversion Required
Length of Laser Cavity: 21 Meter --> 21 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G = R₁*R₂*(exp(2*(k_s-γ_eff)*L_l)) --> 2.41*3.01*(exp(2*(1.502-2.4)*21))

Evaluating ... ...

G = 3.02505209907161E-16

STEP 3: Convert Result to Output's Unit

3.02505209907161E-16 --> No Conversion Required

FINAL ANSWER

3.02505209907161E-16 ≈ 3E-16 <-- Round Trip Gain

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Opto Electronics Devices » Lasers » Round Trip Gain

Credits

Created by banuprakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

banuprakash has created this Calculator and 50+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

< 12 Lasers Calculators

Small Signal Gain Coefficient

Go Signal Gain Coefficient = Density of Atoms Final State-(Degeneracy of Final State/Degeneracy of Initial State)*(Density of Atoms Initial State)*(Einstein Coefficient for Stimulated Absorption*[hP]*Frequency of Transition*Refractive Index)/[c]

Absorption Co-Efficient

Go Absorption Coefficient = Degeneracy of Final State/Degeneracy of Initial State*(Density of Atoms Initial State-Density of Atoms Final State)*(Einstein Coefficient for Stimulated Absorption*[hP]*Frequency of Transition*Refractive Index)/[c]

Round Trip Gain

Go Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity))

Transmittance

Go Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2

Ratio of Rate of Spontaneous and Stimulated Emission

Go Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1)

Irradiance

Go Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam)

Intensity of Signal at Distance

Go Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring)

Variable Refractive Index of The GRIN Lens

Go Apparent Refractive Index = Refractive Index of Medium 1*(1-(Positive Constant*Radius of Lens^2)/2)

Half Wave Voltage

Go Half Wave Voltage = Wavelength of Light/(Length of Fiber*Refractive Index^3)

Plane of Transmission of Analyzer

Go Plane of Transmission of Analyzer = Plane of Polarizer/((cos(Theta))^2)

Plane of Polarizer

Go Plane of Polarizer = Plane of Transmission of Analyzer*(cos(Theta)^2)

Single Pinhole

Go Single Pinhole = Wavelength of Wave/((Apex Angle*(180/pi))*2)

Round Trip Gain Formula

Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity))
G = R₁*R₂*(exp(2*(k_s-γ_eff)*L_l))

Why is round-trip gain important in optoelectronic devices?

Round-trip gain is crucial for sustaining and amplifying optical signals in devices like lasers. It ensures that the signal experiences sufficient gain during each round-trip, allowing the output signal to be stronger than the input.

How to Calculate Round Trip Gain?

Round Trip Gain calculator uses Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)) to calculate the Round Trip Gain, The Round Trip Gain formula is defined as the gain experienced by an optical signal as it completes a round trip through an optical system or device. Round Trip Gain is denoted by G symbol.

How to calculate Round Trip Gain using this online calculator? To use this online calculator for Round Trip Gain, enter Reflectances (R₁), Reflectances Separated by L (R₂), Signal Gain Coefficient (k_s), Effective Loss Coefficient (γ_eff) & Length of Laser Cavity (L_l) and hit the calculate button. Here is how the Round Trip Gain calculation can be explained with given input values -> 3E-16 = 2.41*3.01*(exp(2*(1.502-2.4)*21)).

FAQ

What is Round Trip Gain?

The Round Trip Gain formula is defined as the gain experienced by an optical signal as it completes a round trip through an optical system or device and is represented as G = R₁*R₂*(exp(2*(k_s-γ_eff)*L_l)) or Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)). Reflectances refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface, Reflectances Separated by L refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface, Signal Gain Coefficient is a parameter used to describe the amplification of an optical signal in a medium, typically within the context of lasers or optical amplifiers, Effective Loss Coefficient is used to describe the attenuation or loss of a signal as it travels through a medium or a transmission line & Length of Laser Cavity is a crucial parameter in determining the properties and characteristics of a laser system.

How to calculate Round Trip Gain?

The Round Trip Gain formula is defined as the gain experienced by an optical signal as it completes a round trip through an optical system or device is calculated using Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)). To calculate Round Trip Gain, you need Reflectances (R₁), Reflectances Separated by L (R₂), Signal Gain Coefficient (k_s), Effective Loss Coefficient (γ_eff) & Length of Laser Cavity (L_l). With our tool, you need to enter the respective value for Reflectances, Reflectances Separated by L, Signal Gain Coefficient, Effective Loss Coefficient & Length of Laser Cavity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search