Transmittance Calculator

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✖Wavelength of Light is the distance between consecutive points of a wave with the same phase.ⓘ Wavelength of Light [λ_o]			+10% -10%
✖Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.ⓘ Refractive Index [n_ri]			+10% -10%
✖Length of Fiber refers to the physical distance of an optical fiber.ⓘ Length of Fiber [r]			+10% -10%
✖Supply Voltage is the electric potential difference between two points in an electrical circuit provided by an energy source such as a battery or an electrical outlet.ⓘ Supply Voltage [V_cc]			+10% -10%

✖Transmittance is a measure of the ability of a material to allow light to pass through it.ⓘ Transmittance [t]

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Formula

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Transmittance

Formula

`"t" = (sin(pi/"λ"_{"o"}*("n"_{"ri"})^3*"r"*"V"_{"cc"}))^2`

Example

`"0.852309"=(sin(pi/"3.939m"*("1.01")^3*"23m"*"1.6V"))^2`

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Transmittance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2
t = (sin(pi/λ_o*(n_ri)^3*r*V_cc))^2
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Transmittance - Transmittance is a measure of the ability of a material to allow light to pass through it.
Wavelength of Light - (Measured in Meter) - Wavelength of Light is the distance between consecutive points of a wave with the same phase.
Refractive Index - Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.
Length of Fiber - (Measured in Meter) - Length of Fiber refers to the physical distance of an optical fiber.
Supply Voltage - (Measured in Volt) - Supply Voltage is the electric potential difference between two points in an electrical circuit provided by an energy source such as a battery or an electrical outlet.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Light: 3.939 Meter --> 3.939 Meter No Conversion Required
Refractive Index: 1.01 --> No Conversion Required
Length of Fiber: 23 Meter --> 23 Meter No Conversion Required
Supply Voltage: 1.6 Volt --> 1.6 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (sin(pi/λ_o*(n_ri)^3*r*V_cc))^2 --> (sin(pi/3.939*(1.01)^3*23*1.6))^2

Evaluating ... ...

t = 0.852309483764742

STEP 3: Convert Result to Output's Unit

0.852309483764742 --> No Conversion Required

FINAL ANSWER

0.852309483764742 ≈ 0.852309 <-- Transmittance

(Calculation completed in 00.004 seconds)

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Created by banuprakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

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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)

Transmittance Formula

Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2
t = (sin(pi/λ_o*(n_ri)^3*r*V_cc))^2

How is Transmittance Measured Experimentally?

Transmittance is often measured using a spectrophotometer, which quantifies the intensity of transmitted light at different wavelengths.

How to Calculate Transmittance?

Transmittance calculator uses Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2 to calculate the Transmittance, The Transmittance formula is defined as a measure of the ability of a material to allow light to pass through it. Transmittance is a measure of the ability of a material to allow the passage of light or other electromagnetic waves through it. It is the ratio of the transmitted intensity to the incident intensity of a beam of light passing through a substance. Transmittance is denoted by t symbol.

How to calculate Transmittance using this online calculator? To use this online calculator for Transmittance, enter Wavelength of Light (λ_o), Refractive Index (n_ri), Length of Fiber (r) & Supply Voltage (V_cc) and hit the calculate button. Here is how the Transmittance calculation can be explained with given input values -> 0.852309 = (sin(pi/3.939*(1.01)^3*23*1.6))^2.

FAQ

What is Transmittance?

The Transmittance formula is defined as a measure of the ability of a material to allow light to pass through it. Transmittance is a measure of the ability of a material to allow the passage of light or other electromagnetic waves through it. It is the ratio of the transmitted intensity to the incident intensity of a beam of light passing through a substance and is represented as t = (sin(pi/λ_o*(n_ri)^3*r*V_cc))^2 or Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2. Wavelength of Light is the distance between consecutive points of a wave with the same phase, Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum, Length of Fiber refers to the physical distance of an optical fiber & Supply Voltage is the electric potential difference between two points in an electrical circuit provided by an energy source such as a battery or an electrical outlet.

How to calculate Transmittance?

The Transmittance formula is defined as a measure of the ability of a material to allow light to pass through it. Transmittance is a measure of the ability of a material to allow the passage of light or other electromagnetic waves through it. It is the ratio of the transmitted intensity to the incident intensity of a beam of light passing through a substance is calculated using Transmittance = (sin(pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage))^2. To calculate Transmittance, you need Wavelength of Light (λ_o), Refractive Index (n_ri), Length of Fiber (r) & Supply Voltage (V_cc). With our tool, you need to enter the respective value for Wavelength of Light, Refractive Index, Length of Fiber & Supply Voltage 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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