Intensity of Signal at Distance Calculator

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✖The Initial Intensity is a measure of how much light is produced by the light source in ideal conditions.ⓘ Initial Intensity [I_o]			+10% -10%
✖Decay Constant determines how quickly the quantity being modeled decreases over time or distance.ⓘ Decay Constant [ad_c]			+10% -10%
✖Distance of Measuring represents the distance at which you are measuring the intensity.ⓘ Distance of Measuring [x]			+10% -10%

✖Intensity of Signal at Distance represents the intensity of the signal at a distance x. It's the value of the signal at that particular point in space.ⓘ Intensity of Signal at Distance [I_x]

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Intensity of Signal at Distance

Formula

`"I"_{"x"} = "I"_{"o"}*exp(-"ad"_{"c"}*"x")`

Example

`"2.717638W/m²"="3.5W/m²"*exp(-"2.3"*"0.11m")`

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Intensity of Signal at Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring)
I_x = I_o*exp(-ad_c*x)
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

Intensity of Signal at Distance - (Measured in Watt per Square Meter) - Intensity of Signal at Distance represents the intensity of the signal at a distance x. It's the value of the signal at that particular point in space.
Initial Intensity - (Measured in Watt per Square Meter) - The Initial Intensity is a measure of how much light is produced by the light source in ideal conditions.
Decay Constant - Decay Constant determines how quickly the quantity being modeled decreases over time or distance.
Distance of Measuring - (Measured in Meter) - Distance of Measuring represents the distance at which you are measuring the intensity.

STEP 1: Convert Input(s) to Base Unit

Initial Intensity: 3.5 Watt per Square Meter --> 3.5 Watt per Square Meter No Conversion Required
Decay Constant: 2.3 --> No Conversion Required
Distance of Measuring: 0.11 Meter --> 0.11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_x = I_o*exp(-ad_c*x) --> 3.5*exp(-2.3*0.11)

Evaluating ... ...

I_x = 2.71763758638308

STEP 3: Convert Result to Output's Unit

2.71763758638308 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

2.71763758638308 ≈ 2.717638 Watt per Square Meter <-- Intensity of Signal at Distance

(Calculation completed in 00.004 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

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Chandigarh University (CU), Punjab

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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)

Intensity of Signal at Distance Formula

Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring)
I_x = I_o*exp(-ad_c*x)

What is the sgnificance of Decay constant?

The decay constant represents the probability of a radioactive atom's decay per unit time. It's crucial in determining the rate of exponential decay in radioactive substances and is used to calculate the half-life of a material.

How to Calculate Intensity of Signal at Distance?

Intensity of Signal at Distance calculator uses Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring) to calculate the Intensity of Signal at Distance, The Intensity of Signal at Distance formula describes an exponential decay process where the signal weakens or diminishes as you move away from the source. The rate of decay is determined by the value of the constant a. Intensity of Signal at Distance is denoted by I_x symbol.

How to calculate Intensity of Signal at Distance using this online calculator? To use this online calculator for Intensity of Signal at Distance, enter Initial Intensity (I_o), Decay Constant (ad_c) & Distance of Measuring (x) and hit the calculate button. Here is how the Intensity of Signal at Distance calculation can be explained with given input values -> 2.717638 = 3.5*exp(-2.3*0.11).

FAQ

What is Intensity of Signal at Distance?

The Intensity of Signal at Distance formula describes an exponential decay process where the signal weakens or diminishes as you move away from the source. The rate of decay is determined by the value of the constant a and is represented as I_x = I_o*exp(-ad_c*x) or Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring). The Initial Intensity is a measure of how much light is produced by the light source in ideal conditions, Decay Constant determines how quickly the quantity being modeled decreases over time or distance & Distance of Measuring represents the distance at which you are measuring the intensity.

How to calculate Intensity of Signal at Distance?

The Intensity of Signal at Distance formula describes an exponential decay process where the signal weakens or diminishes as you move away from the source. The rate of decay is determined by the value of the constant a is calculated using Intensity of Signal at Distance = Initial Intensity*exp(-Decay Constant*Distance of Measuring). To calculate Intensity of Signal at Distance, you need Initial Intensity (I_o), Decay Constant (ad_c) & Distance of Measuring (x). With our tool, you need to enter the respective value for Initial Intensity, Decay Constant & Distance of Measuring 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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