Lasers...'a solution looking for a problem'? Gregory J. Gbur author of Mathematical Methods for Optical Physics and Engineering, 2011 debunks this early misconception with a clear explanation of what a laser is, and exactly how it works!
Modern lasers come in an incredible range
of different designs, operating at different wavelengths, different power
levels, and using different materials as the basis for stimulated emission. It’s
amazing to imaging after 60 years, but even after lasers were created, many
were unsure what to do with the device; as Charles Hard Townes later
reflected, “Many people said to me—partly as a joke, but also as a
challenge—that the laser was ‘a solution looking for a problem.’”
Though its usefulness may have initially be
somewhat unclear, the laser is now a tool in countless applications,
industries, and fields of study. In 1964, Townes won the Nobel Prize in Physics
with Nikolay Basov and Aleksandr Prokhorov for “fundamental work in the field
of quantum electronics, which has led to the construction of oscillators and
amplifiers based on the maser-laser principle.”
But what exactly is a laser, and how does
it work? Now we can be a little more specific about the physics. Most people
are familiar with the orbital model of the atom introduced by Niels Bohr in
1913, and illustrated below.
Researchers had long observed that atoms
and molecules appear to only absorb and emit light at certain frequencies,
giving them a characteristic spectrum of emission. Bohr argued that this must arise because the
electrons in an atom can only orbit the nucleus at certain special distances,
labeled in the picture by an index “n” for convenience. The innermost orbit is
the lowest energy state, or “ground state.” An atom can only emit a photon when
one of its electrons drops from a higher energy state to a lower energy state,
and can only absorb a photon but jumping from a lower energy state to a higher
energy state: a “quantum leap.”
For all but the simplest atoms and
molecules, there are many, many possible energy levels, and a photon with the
appropriate energy can cause them to jump between any pair of levels. If we
picture energy levels as physical altitude, we can draw a sketch of Einstein’s
three processes of photon-atom interaction as shown below.
In spontaneous emission, the atom drops
from level 2 to level 1, releasing a photon with energy equal to the difference
in energy levels. In absorption, the reverse happens. In stimulated emission, a
photon interacts with the atom, causing it to release an identical photon.
As we have noted, this process of
stimulated emission is what makes the laser work. If we put enough atoms into
the excited state, so that they can experience stimulated emission, then the
two photons released in one stimulated event can cause two additional
stimulated emissions, and so forth. The result is an avalanche of photons, all
identical.
But the challenge is, in fact, getting a
large number of atoms into the excited state in the first place. If we are only
working with our two energy levels, level 1 and level 2, then we can at most
get 50% of our atoms into the excited state. At that point, any photon passing
through the system is equally likely to be absorbed or causing a stimulated
emission. But this prohibits our avalanche from starting: all the unexcited
atoms effectively put the brakes on the process.
The solution is to design our laser to take
advantage of more than two energy levels of the atom, as shown below.
Let us suppose that such a 3-level atom that is
excited to level 3 very quickly decays to level 2, but the atom takes a
relatively long time to decay back to the ground state, level 1. If we
excite a collection of these atoms to level 3 using a light beam at
frequency , they will
drop to level 2 too fast to be de-excited by the light beam! Any atoms
still in level 1 can then be also excited to level 3, and so on. By this
process, we end up with most of the atoms continually in level 2, and almost no
atoms in level 1: we have achieved what is called population inversion, a key
ingredient to making a laser work.
A laser is more than stimulated emission — a
number of components are required to make a functioning device. In fact, the
“avalanche” of photons we described above is a distinct phenomenon with its own
name, amplified spontaneous emission: an initial photon created by
spontaneous emission produces many more photons by inducing stimulated emission
in excited atoms.
So what makes a laser? In simplified form, a
true laser consists of four components, listed and illustrated below.
1. gain medium. The gain medium is the lasing material, to be population inverted, typically a 3-level or 4-level atom. The properties of the laser light such as wavelength depend on the choice of medium.
2. optical pump. We need some technique to excite the gain medium into an inverted state. The most obvious technique to do this is to use an optical pump (like a flashbulb) that produces light that can excite the gain medium to the 3rd (or 4th) level. It is also possible to excite the gain medium by electrical means, and even to use another laser as a pump.
3. resonant cavity. The simplest cavity imaginable consists of two parallel mirrors that bounce the stimulated photons back and forth through the gain medium. On each pass through the cavity, a single photon may excite a large number of additional photons through stimulated emission. The cavity, therefore, gives each photon a large number of opportunities to excite additional photons, enhancing the “avalanche” effect. More complex cavities, consisting of mirrors with different curvatures, can change the properties of the output laser light.
4. output coupling. Once we get all these photons bouncing around in the cavity, we need to get them out somehow! Typically one of the mirrors is partially reflecting, so that some small, small fraction of photons incident upon the mirror actually pass through it and become the output beam.
It is appropriate to refer to the lasing
process as an avalanche, because the invention of the laser itself has had an
avalanche effect on society. From the first crude prototype of Townes, the
laser has become a ubiquitous part of even our daily lives. In
telecommunications, infrared lasers are used to send information through fiber
optic cables. Laser printers use near infrared light to trace patterns on
paper. Scanners at the supermarket use red lasers to read product barcodes, and
we use red lasers to entertain our cats.
Green lasers are popularly used as laser pointers in office
presentations. The optical disk that stores games on a Playstation or Xbox
gaming console reads the data using a blue laser. Ultraviolet lasers, whose light is readily
absorbed by organic compounds, are used in eye surgeries such as LASIK. The uses of lasers in scientific research are
truly too numerous to mention.
To celebrate the 60th Anniversary of the Laser Cambridge are offering a 20% discount on related books, free access to interesting journal articles and more laser information at our Content Hub on Cambridge Core.
Gregory J. Gbur author of Mathematical Methods for Optical Physics and Engineering, 2011 is an Assistant Professor of Physics and Optical Science at the University of North Carolina at Charlotte, where he has teaches a graduate course on mathematical methods for optics....
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