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Ideal Etalon Transmission Calculator

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Transmission Measurements C V Actions of Optics Transmission Fiber Optic Parameters Optical Detectors

✖Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.ⓘ Reflectivity [ρ]			+10% -10%
✖The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.ⓘ Single-Pass Phase Shift [Φ]			+10% -10%

✖The transmission of etalon, also known as a Fabry–Pérot interferometer, is a result of interference between the multiple reflections of light between the two reflecting surfaces of the etalon.ⓘ Ideal Etalon Transmission [T_E]

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Ideal Etalon Transmission Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1
T_E = (1+(4*ρ)/(1-ρ)^2*sin(Φ/2)^2)^-1
This formula uses 1 Functions, 3 Variables

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

Transmission of Etalon - The transmission of etalon, also known as a Fabry–Pérot interferometer, is a result of interference between the multiple reflections of light between the two reflecting surfaces of the etalon.
Reflectivity - Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy.
Single-Pass Phase Shift - (Measured in Radian) - The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.

STEP 1: Convert Input(s) to Base Unit

Reflectivity: 0.035 --> No Conversion Required
Single-Pass Phase Shift: 45.31143 Radian --> 45.31143 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_E = (1+(4*ρ)/(1-ρ)^2*sin(Φ/2)^2)^-1 --> (1+(4*0.035)/(1-0.035)^2*sin(45.31143/2)^2)^-1

Evaluating ... ...

T_E = 0.945912434615237

STEP 3: Convert Result to Output's Unit

0.945912434615237 --> No Conversion Required

FINAL ANSWER

0.945912434615237 ≈ 0.945912 <-- Transmission of Etalon

(Calculation completed in 00.004 seconds)

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

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Ideal Etalon Transmission Formula

LaTeX Go

Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1
T_E = (1+(4*ρ)/(1-ρ)^2*sin(Φ/2)^2)^-1

What is the significance of ideal etalon transmission?

Etalons are used as narrowband filters in various applications, including spectroscopy and telecommunications. The transmission peaks of an ideal etalon are very narrow, allowing for high spectral resolution. This means that the etalon can distinguish between very closely spaced frequencies. The transmission peaks of an etalon depend on the optical path difference between the two reflecting surfaces. By changing this path difference (for example, by changing the spacing between the surfaces), the transmission spectrum of the etalon can be tuned. This makes etalons useful in tunable filter applications.

How to Calculate Ideal Etalon Transmission?

Ideal Etalon Transmission calculator uses Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1 to calculate the Transmission of Etalon, The ideal etalon transmission refers to the optimal transmission of light through the etalon, which results in a transmission profile with peaks at specific points. This transmission is influenced by multiple factors, including the reflectance R of both surfaces of the cavity and the phase Φ acquired by light passing through the cavity once. Transmission of Etalon is denoted by T_E symbol.

How to calculate Ideal Etalon Transmission using this online calculator? To use this online calculator for Ideal Etalon Transmission, enter Reflectivity (ρ) & Single-Pass Phase Shift (Φ) and hit the calculate button. Here is how the Ideal Etalon Transmission calculation can be explained with given input values -> 0.945912 = (1+(4*0.035)/(1-0.035)^2*sin(45.31143/2)^2)^-1.

FAQ

What is Ideal Etalon Transmission?

The ideal etalon transmission refers to the optimal transmission of light through the etalon, which results in a transmission profile with peaks at specific points. This transmission is influenced by multiple factors, including the reflectance R of both surfaces of the cavity and the phase Φ acquired by light passing through the cavity once and is represented as T_E = (1+(4*ρ)/(1-ρ)^2*sin(Φ/2)^2)^-1 or Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1. Reflectivity is a measure of the effectiveness of a surface or material in reflecting radiant energy & The single-pass phase shift refers to the phase change that light undergoes when it propagates from one mirror to the other in a single pass.

How to calculate Ideal Etalon Transmission?

The ideal etalon transmission refers to the optimal transmission of light through the etalon, which results in a transmission profile with peaks at specific points. This transmission is influenced by multiple factors, including the reflectance R of both surfaces of the cavity and the phase Φ acquired by light passing through the cavity once is calculated using Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1. To calculate Ideal Etalon Transmission, you need Reflectivity (ρ) & Single-Pass Phase Shift (Φ). With our tool, you need to enter the respective value for Reflectivity & Single-Pass Phase Shift 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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