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Round Trip Gain Formula

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Round Trip Gain is a key parameter in determining the threshold conditions for lasing in a laser system. Check FAQs

G = R 1 \cdot R 2 \cdot (\exp (2 \cdot (k s - γ eff) \cdot L l))

G - Round Trip Gain?R₁ - Reflectances?R₂ - Reflectances Separated by L?k_s - Signal Gain Coefficient?γ_eff - Effective Loss Coefficient?L_l - Length of Laser Cavity?

Round Trip Gain Example

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Here is how the Round Trip Gain equation looks like with Values.

Here is how the Round Trip Gain equation looks like with Units.

Here is how the Round Trip Gain equation looks like.

3E-16 = 2.41 \cdot 3.01 \cdot (\exp (2 \cdot (1.502 - 2.4) \cdot 21))

3E-16 = 2.41 \cdot 3.01 \cdot (\exp (2 \cdot (1.502 - 2.4) \cdot 21m))

3E-16 = 2.41 \cdot 3.01 \cdot (\exp (2 \cdot (1.502 - 2.4) \cdot 21))

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Round Trip Gain Solution

Follow our step by step solution on how to calculate Round Trip Gain?

FIRST Step Consider the formula

G = R 1 \cdot R 2 \cdot (\exp (2 \cdot (k s - γ eff) \cdot L l))

Next Step Substitute values of Variables

∴

G = 2.41 \cdot 3.01 \cdot (\exp (2 \cdot (1.502 - 2.4) \cdot 21m))

Next Step Prepare to Evaluate

∴

G = 2.41 \cdot 3.01 \cdot (\exp (2 \cdot (1.502 - 2.4) \cdot 21))

Next Step Evaluate

∴

G = 3.02505209907161E-16

LAST Step Rounding Answer

∴

G = 3E-16

Round Trip Gain Formula Elements

Variables

Functions

Round Trip Gain

Round Trip Gain is a key parameter in determining the threshold conditions for lasing in a laser system.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Round Trip Gain

Reflectances

Reflectances refers to the ratio of the reflected radiant flux (light) to the incident flux on a surface.

Symbol: R₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reflectances

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.

Symbol: R₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reflectances Separated by L

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.

Symbol: k_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Signal Gain Coefficient

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.

Symbol: γ_eff

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Loss Coefficient

Length of Laser Cavity

Length of Laser Cavity is a crucial parameter in determining the properties and characteristics of a laser system.

Symbol: L_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Laser Cavity

exp

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

Syntax: exp(Number)

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P' = \frac{P}{{(\cos (θ))}^{2}}

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I x = I o \cdot \exp (- ad c \cdot x)

Go Ratio of Rate of Spontaneous and Stimulated Emission

R s = \exp ((\frac{[hP] \cdot f r}{[BoltZ] \cdot T o}) - 1)

How to Evaluate Round Trip Gain?

Round Trip Gain evaluator uses Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)) to evaluate 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 evaluate Round Trip Gain using this online evaluator? To use this online evaluator 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.

FAQs on Round Trip Gain

What is the formula to find Round Trip Gain?

The formula of Round Trip Gain is expressed as Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)). Here is an example- 3E-16 = 2.41*3.01*(exp(2*(1.502-2.4)*21)).

How to calculate Round Trip Gain?

With Reflectances (R₁), Reflectances Separated by L (R₂), Signal Gain Coefficient (k_s), Effective Loss Coefficient (γ_eff) & Length of Laser Cavity (L_l) we can find Round Trip Gain using the formula - Round Trip Gain = Reflectances*Reflectances Separated by L*(exp(2*(Signal Gain Coefficient-Effective Loss Coefficient)*Length of Laser Cavity)). This formula also uses Exponential Growth (exp) function(s).

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Round Trip Gain Formula

Round Trip Gain Example

Round Trip Gain Solution

Round Trip Gain Formula Elements

Other formulas in Lasers category

How to Evaluate Round Trip Gain?

FAQs on Round Trip Gain

Variable Name