Chromatis™Dispersion Measurement System Chapter 2: Description
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𝐺𝑟𝑜𝑢𝑝 𝐷𝑒𝑙𝑎𝑦 𝐷𝑖𝑠𝑝𝑒𝑟𝑠𝑖𝑜𝑛 (𝐺𝐷𝐷) = 𝑑2𝜑
𝑑𝜔2
𝑇ℎ𝑖𝑟𝑑 𝑂𝑟𝑑𝑒𝑟 𝐷𝑖𝑠𝑝𝑒𝑟𝑠𝑖𝑜𝑛 (𝑇𝑂𝐷) = 𝑑3𝜑
𝑑𝜔3
𝐹𝑜𝑢𝑟𝑡ℎ 𝑂𝑟𝑑𝑒𝑟 𝐷𝑖𝑠𝑝𝑒𝑟𝑠𝑖𝑜𝑛 (𝐹𝑂𝐷) = 𝑑4𝜑
𝑑𝜔4
This method of dispersion measurement is very versatile because only a single element detector is needed for the
white light measurement and automatic wavelength calibration is built-in because of the HeNe optical reference.
This means that a dispersion measurement can be made at any wavelength that you can provide a broad
bandwidth source and a detector. In addition, an increase in real resolution is obtained by scanning over a longer
delay.
There are some practical limitations to this measurement. The Chromatis dispersion measurement system uses a
fiber-coupled white light source, which simplifies the optical setup but introduces some wavelength limitations.
Typical fiber optic cables attenuate more in the visible and greatly in the UV. In addition, the white light source
was chosen to provide the broadest measurement bandwidth possible and to provide a smooth spectral curve.
The white light source in the Chromatis allows easy characterization of mirrors designed for Ti:sapphire (around
800 nm), Yb:fiber (around 1030 nm), and Er:fiber (around 1550 nm) lasers, along with some harmonics. The output
spectrum from the white light source tapers off greatly in the visible and has no light output below 360 nm. The
typical configuration of the Chromatis system includes a silicon detector, which can measure from 500 nm to 1100
nm. For NIR applications, a InGaAs detector operating over the 900 nm to 1650 nm wavelength is also available
separately.
In addition, real world measurement issues like light noise, amplifier noise, and digitization put a limit on the
amount of time delay you can scan before the integrated noise becomes greater than the signal. Chromatis uses
low noise components, but the time delay scan still is limited to less than approximately 10,000 fs for typical
measurements. At this level, absolute noise is high, but very sharp and very high dispersion features can be
resolved; however, most optics do not require this extreme resolution. Optics that do require this resolution have
very large dispersions and the relative noise is still very low (GDD noise/GDD value). At more moderate resolutions
(5 nm is ideal for most optics), both the absolute and relative noise is low and standard deviations of less than 5
fs2are typical over most of the measurement range for only a few scans. The Chromatis software interface has
built-in averaging so that the effects of this noise can be reduced simply by increasing the number of scans.