A temperature-tunable etalon for optical telecommunication wavelength: Difference between revisions

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Suppose that the <math>a_1</math>, <math>a_2</math>, <math>a_3</math> are the electrical field intensity of input, oscillating, output light.
Suppose that the <math>a_1</math>, <math>a_2</math>, <math>a_3</math> are the electrical field intensity of input, oscillating, output light.
[[File:Etalon_principle.jpg]]
[[File:Etalon_principle.jpg]]
<math>a_2=ta_1+r^2a_2e^(-i\phi)</math>


The relationship is as follows


Where the gap between two reflective surfaces is d and the refractive index in the cavity is n_e.
<math>a_2=ta_1+r^2a_2e^{-i\phi}</math>
 
<math>a_3=ta_2</math>
 
Where \phi means that phase delay in the cavity and the gap between two reflective surfaces is d.
 
<math>\phi=2kd=2\frac{2\pi}{\lambda}d</math>


==Building an Etalon Out of Silicon Wafer==
==Building an Etalon Out of Silicon Wafer==

Revision as of 17:06, 16 February 2021

Members

Shi Yicheng (A0054800R), Du Jinyi (A0227185B), Zhang Qian(A0228752Y)

Rationale

A Fabry-Perot interferometer (or an Etalon), being probably the simplest form of all interferometers, is found useful in a variety of optical applications such as spectral filtering or frequency referencing.

An etalon is typically constructed out of the two parallel reflecting surfaces of a transparent plate. The plate needs to have low absorption loss for the desired working wavelengths to ensure a relatively high finesse of the etalon. The material choice for visible wavelengths is usually fused silica with an absorption coefficient of [bla] and a thermal expansion coefficient of [bla].

For optical telecommunication wavelengths, which range from about 1260nm to 1625nm, pure silicon becomes a more practical choice with an absorption coefficient of [bla] and thermal expansion coefficient of [bla].

Characteristic Parameters of an Etalon

The performance of etalon is characterized by several main parameters: including visibility (V), free spectral range (FSR), full width half maximum (FWHM), and central wavelength.

Suppose that the a1, a2, a3 are the electrical field intensity of input, oscillating, output light.

The relationship is as follows

a2=ta1+r2a2eiϕ

a3=ta2

Where \phi means that phase delay in the cavity and the gap between two reflective surfaces is d.

ϕ=2kd=22πλd

Building an Etalon Out of Silicon Wafer

Design

(this section will stay empty for a long time...)

Performance

caption

Bare Silicon Wafer

Transmission spectrum of a bare silicon wafer of 100μm Zoom in of the spectrum, showing a free spectral range of ~2.3nm (~400GHz)

HR Coated Silicon Wafer

Temperature Tuning of silicon etalon