Ideal Etalon Transmission Calculator

Ideal Etalon Transmission Formula:

\[ TE = \left(1 + \frac{4\rho}{(1-\rho)^2} \cdot \sin^2\left(\frac{\Phi}{2}\right)\right)^{-1} \]

Transmission of Etalon (TE):

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1. What is the Ideal Etalon Transmission Formula?

The Ideal Etalon Transmission formula calculates the transmission coefficient of a Fabry-Pérot interferometer (etalon) based on the reflectivity of the surfaces and the single-pass phase shift of light. It describes how light is transmitted through the interferometer due to interference effects.

2. How Does the Calculator Work?

The calculator uses the Ideal Etalon Transmission formula:

\[ TE = \left(1 + \frac{4\rho}{(1-\rho)^2} \cdot \sin^2\left(\frac{\Phi}{2}\right)\right)^{-1} \]

Where:

\( TE \) — Transmission of Etalon
\( \rho \) — Reflectivity of the surfaces (0-1)
\( \Phi \) — Single-pass phase shift (radians)

Explanation: The formula accounts for the interference between multiple reflections of light between the two reflecting surfaces of the etalon.

3. Importance of Etalon Transmission Calculation

Details: Accurate transmission calculation is crucial for designing optical filters, laser cavities, spectroscopy instruments, and other optical systems that use Fabry-Pérot interferometers.

4. Using the Calculator

Tips: Enter reflectivity as a value between 0 and 1, and single-pass phase shift in radians. Both values must be valid (reflectivity 0-1, phase shift ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is an etalon?
A: An etalon is an optical interferometer that consists of two partially reflecting surfaces separated by a fixed distance, used for precise wavelength selection and measurement.

Q2: What is the typical range of reflectivity values?
A: Reflectivity typically ranges from 0 (no reflection) to values close to 1 (near perfect reflection), with common values between 0.3-0.99 for practical etalons.

Q3: How is single-pass phase shift related to the etalon?
A: The single-pass phase shift depends on the wavelength of light, the distance between mirrors, and the refractive index of the medium between them.

Q4: What are the applications of etalon transmission calculations?
A: Used in laser design, optical filtering, spectroscopy, telecommunications, and precision wavelength measurement applications.

Q5: Are there limitations to this ideal formula?
A: This formula assumes ideal conditions - perfect parallel mirrors, no absorption losses, and monochromatic light. Real-world applications may require additional corrections.