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At first glance, the Thermometer is one of the last pre-Metrology measurement tools to be invented, as Gabriel Fahrenheit and Anders Celsius both made critical contributions to the measurement of temperature in the early 1700s. But the concept for the Thermometer, an air bubble forced to different elevation points in a liquid by the liquid’s expansion or contraction due to changes in air temperature, can actually be found in Ancient Greece around the first century BCE. Galileo is credited with further perfecting the design of the Florentine Thermometer made in the 1650s by Andrea Mariani. Florentine Thermometers primarily used water or wine as their liquid, but through testing Fahrenheit discovered that mercury had more stable expansion and contraction rates in 1714. And in 1742, Celsius would take the mercury design and apply decimalization to create a more accurate base-10 temperature scale. Both Fahrenheit and Celsius’ contributions to temperature measurement remain in use today.
If instead you have incoherent light, rather than having nice electromagnetic modes to propagate, it is a little different. For example you wouldn’t get much light into the single mode optical fiber. But you could do something like put two apertures separated by a distance and have a roughly collimated light. The diffraction angle will depend slightly on the wavelength, but could still put a lens or set of lenses to expand or focus the light or to collimate the light. Same as before the chromatic aberration of the lenses and type of lenses can matter some, but big picture it would work.
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In previous posts on this blog, we’ve discussed Tools of Metrology that either can be found in your daily life or were ancient measurement tools, and it’s a topic we’d like to return to here. While we often track the refinement in measurement units and tools since Metrology was established in the 18th Century, it’s important to remember that humanity didn’t simply flip a switch in the 1700s and suddenly begin caring about standardized measurement. The journey toward standardization was thousands of years long, taking place on multiple tracks in civilizations around the world.
Good lasers have Gaussian beams. Gaussian beams are never perfectly collimated, but larger diameter beams have a small beam divergence. To get a larger diameter beam, use a beam expander.
Each wavelength will have a little bit of chromatic dispersion due to the lens, unless you choose to use a special lens.
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Before collimating, the beam will have diverged a bit to a radius of 5cm, the range of the wavelengths is 1400-1600nm and I don't want to lose more than 30% of initial power.
Measurement tools used in ancient times laid the foundation for tools, units, and techniques that would later be adopted by the International System of Units (SI) for the formation of the metric system. And many of these tools were advanced and refined to the point where their ancient forms are still in use today. Below are 5 more of the earliest and most important Tools of Metrology:
But in the big picture, if you start out with a nice beam, you can usually use a lens or a set of lenses to collimate the beam, and each wavelength can be treated as a slightly different problem.
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The items listed here are more than just ancient measurement tool names. Many of these tools are still in use today in some form, and they help illustrate how even before the discipline of the Metric System, the SI, and the formal study of Metrology, humans were developing advanced measurement techniques that allowed them to accomplish engineering and construction feats that changed the very shape of our world.
Protractors have seen many varied uses throughout the centuries. The simple, half circle with a flat edge design allows for the angle of two intersecting lines to be measured. The modern Protractor, the design of which is largely unchanged, was developed by Joseph Huddart for naval navigation at the beginning of the 19th century. The tool later became useful for construction and helped expand our understanding of geometry. But a much earlier version of the tool is now believed to have been used in Ancient Egypt by the architect Kha, who helped build pharaohs’ tombs circa 1400 BCE. This design featured a full circle resting on a flat bar. When the bar rested on a line or surface, it would produce a plumb line through the angular markings on the circle to read the angle.
Long before there were laser levels, or even bubble levels, the ancient Egyptians needed to ensure the pyramids and other structures were level to ground with analog measuring tools. The solution was a simple A-frame (likely wooden) with a string hanging down from the center of the “A”. A weight placed at the end of the string would then drag the string in one direction if the A-frame level was placed on a surface that was not perfectly flat. Markings could be placed on the crossbeam of the “A” to indicate how far off of center the measured surface was. This simple design (who’s only real limitation was the size of the frame) would remain in use until after the formation of the SI in Europe. The invention of vulcanized rubber allowed for mass production of the spirit level, which overtook the A-Frame Level for the first time.
There are some details, each wavelength will travel at a slightly different speed through the fiber due to waveguide dispersion and material dispersion.
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For wavelength division multiplexing your 100 different wavelengths could each be produced by an individual laser. They could then be sent through a single mode optical fiber and then your could collect the light coming out of the optical fiber. That ligh does each wavelength will be fairly nice almost Gaussian spot that will diverge. You could put a collimating lens where the spot is 5 mm and get a collimated beam. It would act pretty much like a Gaussian beam.
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We mentioned Galileo earlier as one of the fathers of the Thermometer, but for the invention of the Barometer, we actually turn to his assistant, Evangelista Torricelli, in the 1640s. While studying the effects of air on drawing water out of deep wells, Torricelli designed an experiment to submerge a tube of mercury into a mercury bath and seal the exposed end. As the mercury moved down the tube away from the sealed end, Torricelli reached two conclusions: one, the weight of the air above the bath must be supporting the mercury in the tube still above the surface, and two, the space in the tube above the mercury must therefore be a vacuum. This was one of the first experiments to challenge the long-held belief that “nature abhors a vacuum,” but later texts run by Blaise Pascal and his brother-in-law in 1646 would confirm Torricelli’s theory and prove that atmospheric pressure varies in different weather conditions and at different altitudes. The invention of the Barometer revolutionized how we understood weather patterns, and they are still a primary tool for meteorologists in predicting the weather.
I'm asking in general how to collimate it, but my idea was use a parabolic mirror, then focus all wavelengths into a very short optical fiber, then get the light back into vacuum. Would this work? Is there a better way?
Perhaps the first recorded attempt to track the passage of time throughout the day, the ancient Egyptians created large stone towers called Obelisks to honors gods and kings. And each Obelisk was an offering to the sun god, made to the right height and positioned so that the first and last light of the day would touch the peak. Markings on the ground could then track the shadow the sun cast on the tower throughout the day and tell time. Smaller versions of this same principal, called Sundials, became popular in Egypt and Ancient Rome before the later inventions of the Water Clock and Hourglass. Although sundials are still popular as decorations or at historical sites, they ultimately were not accurate enough for precision time-telling, as the Earth’s changing axial tilt alters the length of daylight hours throughout the seasons each year.