## 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*(ks-γeff)*Ll))
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*(kseff)*Ll)) --> 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
3.02505209907161E-16 3E-16 <-- Round Trip Gain
(Calculation completed in 00.004 seconds)
You are here -
Home »

## 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
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
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
Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity))
Transmittance
Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2
Ratio of Rate of Spontaneous and Stimulated Emission
Ratio of Rate of Spontaneous to Stimulus Emission = exp((([hP]*Frequency of Radiation)/([BoltZ]*Temperature))-1)
Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam)
Intensity of Signal at Distance
Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring)
Variable Refractive Index of The GRIN Lens
Apparent Refractive Index = Refractive Index of Medium 1*(1-(Positive Constant*Radius of Lens^2)/2)
Half Wave Voltage
Half Wave Voltage = Wavelength of Light/(Length of Fiber*Refractive Index^3)
Plane of Transmission of Analyzer
Plane of Transmission of Analyzer = Plane of Polarizer/((cos(Theta))^2)
Plane of Polarizer
Plane of Polarizer = Plane of Transmission of Analyzer*(cos(Theta)^2)
Single Pinhole
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*(ks-γeff)*Ll))

## 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 (ks), Effective Loss Coefficient eff) & Length of Laser Cavity (Ll) 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*(kseff)*Ll)) 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 (ks), Effective Loss Coefficient eff) & Length of Laser Cavity (Ll). 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.
Let Others Know