Irradiance Calculator

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✖Irradiation of Light Incident refers to the exposure of a surface to incident light.ⓘ Irradiation of Light Incident [E_o]			+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%
✖Distance Travelled by Laser Beam refers to the total length covered by the laser light as it propagates through a medium or in free space.ⓘ Distance Travelled by Laser Beam [x_l]			+10% -10%

✖Irridance of Transmitted Beam is a measure of optical power per unit area and is often used in optics to describe the intensity of light.ⓘ Irradiance [I_t]

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Formula

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Irradiance

Formula

`"I"_{"t"} = "E"_{"o"}*exp("k"_{"s"}*"x"_{"l"})`

Example

`"1.510116W/m²"="1.51W/m²"*exp("1.502"*"51μm")`

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Irradiance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam)
I_t = E_o*exp(k_s*x_l)
This formula uses 1 Functions, 4 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

Irridance of Transmitted Beam - (Measured in Watt per Square Meter) - Irridance of Transmitted Beam is a measure of optical power per unit area and is often used in optics to describe the intensity of light.
Irradiation of Light Incident - (Measured in Watt per Square Meter) - Irradiation of Light Incident refers to the exposure of a surface to incident light.
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.
Distance Travelled by Laser Beam - (Measured in Meter) - Distance Travelled by Laser Beam refers to the total length covered by the laser light as it propagates through a medium or in free space.

STEP 1: Convert Input(s) to Base Unit

Irradiation of Light Incident: 1.51 Watt per Square Meter --> 1.51 Watt per Square Meter No Conversion Required
Signal Gain Coefficient: 1.502 --> No Conversion Required
Distance Travelled by Laser Beam: 51 Micrometer --> 5.1E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_t = E_o*exp(k_s*x_l) --> 1.51*exp(1.502*5.1E-05)

Evaluating ... ...

I_t = 1.51011567345035

STEP 3: Convert Result to Output's Unit

1.51011567345035 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

1.51011567345035 ≈ 1.510116 Watt per Square Meter <-- Irridance of Transmitted Beam

(Calculation completed in 00.004 seconds)

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< 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)

Irradiance Formula

Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam)
I_t = E_o*exp(k_s*x_l)

What is the significance of irradiance in solar energy applications?

In solar energy, irradiance is crucial as it represents the amount of solar power per unit area reaching solar panels. Higher irradiance levels generally result in greater energy production.

How to Calculate Irradiance?

Irradiance calculator uses Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam) to calculate the Irridance of Transmitted Beam, The Irradiance formula is defined as the measure of the power per unit area incident on a surface. Irradiance refers to the power per unit area received from an electromagnetic wave, such as light or other forms of electromagnetic radiation. Irridance of Transmitted Beam is denoted by I_t symbol.

How to calculate Irradiance using this online calculator? To use this online calculator for Irradiance, enter Irradiation of Light Incident (E_o), Signal Gain Coefficient (k_s) & Distance Travelled by Laser Beam (x_l) and hit the calculate button. Here is how the Irradiance calculation can be explained with given input values -> 1.510115 = 1.51*exp(1.502*5.1E-05).

FAQ

What is Irradiance?

The Irradiance formula is defined as the measure of the power per unit area incident on a surface. Irradiance refers to the power per unit area received from an electromagnetic wave, such as light or other forms of electromagnetic radiation and is represented as I_t = E_o*exp(k_s*x_l) or Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam). Irradiation of Light Incident refers to the exposure of a surface to incident light, 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 & Distance Travelled by Laser Beam refers to the total length covered by the laser light as it propagates through a medium or in free space.

How to calculate Irradiance?

The Irradiance formula is defined as the measure of the power per unit area incident on a surface. Irradiance refers to the power per unit area received from an electromagnetic wave, such as light or other forms of electromagnetic radiation is calculated using Irridance of Transmitted Beam = Irradiation of Light Incident*exp(Signal Gain Coefficient*Distance Travelled by Laser Beam). To calculate Irradiance, you need Irradiation of Light Incident (E_o), Signal Gain Coefficient (k_s) & Distance Travelled by Laser Beam (x_l). With our tool, you need to enter the respective value for Irradiation of Light Incident, Signal Gain Coefficient & Distance Travelled by Laser Beam 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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