Speaking of lasers, what is the difference between an LED and a
solid state laser? There are some differences, but both devices
operate on the same principle of having excess electrons in the
conduction band of a semiconductor, and arranging it so that the
electrons recombine with holes in a radiative fashion, giving
off light in the process. What is different about a laser? In
an LED, the electrons recombine in a random and unorganized
manner. They give off light by what is known as
spontaneous emission,which simply means that the
exact time and place where a photon comes out of the device is
up to each individual electron, and things happen in a random
way.
There is another way in which an excited electron can emit a
photon however. If a field of light (or a set of photons)
happens to be passing by an excited electron, that light field
can induce the electron to emit an additional photon through a
process called stimulated emission. The
photon field stimulates the electron to
emit its energy as an additional photon, which comes out
in phase with the stimulating field. This
is the big difference between incoherent light
(what comes from an LED or a flashlight) and coherent
light which comes from a laser. With coherent light, all
of the electric fields associated with each phonon are all
exactly in phase. This coherence is what enables us to keep a
laser beam in tight focus, and to allow it to travel a large distance
without much divergence.
So how do we restructure an LED so that the light is generated
by stimulated emission rather than spontaneous emission?
Firstly, we build what is called a
heterostructure.
All this means is that we build up a sandwich of material, with
different characteristics. This this case, we put two wide
band-gap regions around a region with a narrower band gap. The
most important system where this is done is the AlGaAs/GaAs
system. A band diagram for such a set up is shown in
Figure 1. AlGaAs has a larger band-gap then does GaAs.
The potential "well" of the GaAs means that the electrons and
holes will be confined there, and all of the recombination will
occur in a very narrow strip. This greatly increases the
changes that the emission can interact, but we still need some
way for the photons to behave in the proper manner. This is a
picture of what a real diode might look like. We have the
active GaAs layer sandwich in-between the two heterostructure
confinement layers, with a contact on top and bottom. On either
end of the device, the crystal has been "cleaved" or broken
along a crystal lattice plane. This results in a shiny
"mirror-like" surface, which will reflect photons. The back
surface (which we can not see here) is also cleaved to make a
mirror surface. The other surfaces are purposely roughened so
that they do not reflect light. Now let us look at the device
from the side, and draw just the band diagram for the GaAs
region. We start things off with an electron recombining
spontaneously. It emits a photon which heads towards one of the
mirrors. As it goes by other electrons, however, it may cause
one of them to decay by stimulated emission. The two (in phase)
photons hit the mirror and are reflected and start back the
other way . As they pass additional electrons, they stimulate
them into a transition as well, and the optical field within the
laser starts to build up. After a bit, the photons get down to
the other end of the cavity. The cleaved facet, while it acts
like a mirror, is not a perfect one. Some light is not
reflected, but rather "leaks"; though, and so becomes the output
beam from the laser. The details of finding what the ratio of
reflected to transmitted light is will have to wait until later
in the course when we talk about dielectric interfaces. The
rest of the photons are reflected back into the cavity and
continue to stimulate emission from the electrons which continue
to enter the gain region because of the forward bias on the
diode.
In reality, the photons do not move back and forth in a big
"clump" as we have described here, rather they are distributed
uniformly along the gain region. The field within the cavity
will build up to the point where the loss of energy by light
leaking out of the mirrors just equals the rate at which energy
is replaced by the recombining electrons.