By
using an automated design algorithm, researchers at Stanford University
have built the world’s smallest and most efficient silicon based
photonic wavelength splitter, or demultiplexer.
Final design
|
If you haven’t come
across that term before, for computers to communicate with each other,
multiplexing and demultiplexing is essential. Multiple information
streams are combined (multiplexed), transmitted over some distance, and then decomposed into their original forms (demultiplexed). Thanks to this concept, we can send extreme amounts of data over the Internet using optical fibers.
Let’s
say we want to send 10 pieces of information over the Internet. To do
so, we can use 10 different wavelengths of light to encode this
information, send it down a fiber, and then reverse the process on the
other end to decompose which wavelength corresponds to which information
stream. (This technique is just one type of multiplexing (wavelength division multiplexing) — there are many more.)
Now,
as communications get faster, photonic devices continue to shrink and
become increasingly integrated with electronic components, hence the
field of nanophotonics.
Yet it becomes increasingly difficult to build devices
for telecommunications — not just because of fabrication problems, but
because light acts remarkably different at smaller scales.
So
rather than having to design every component of a photonic circuit
from scratch, a team at Stanford University has shown that by
developing a clever optimization algorithm, it’s possible to create a
highly efficient wavelength demultiplexer without any top-down design
whatsoever. The device, based on silicon, can be used to demultiplex two
wavelengths, 1.3 and 1.55 microns (which are standard in
telecommunications). The design is also the smallest we’ve seen of this
type, at only 2.8 square microns, and it exhibits the lowest insertion
and crosstalk loss yet.
With
this concept, light from the input waveguide enters the demultiplexer,
which splits light (according to wavelength) into two waveguide output
channels. Now, this may sound unremarkable, but when you actually see
the structure which achieves this, it almost appears counter-intuitive
that it’s the optimum structure. The structure is shown to the
right under electron microscopy techniques.
What makes this research different is that the demultiplexer is based on a non-conventional, inverse design method.
Generally, designing anything from mechanical bridges to electronic
circuits relies on a top-down theoretical approach. That means certain
equations and design principles are employed, and we keep having to
adjust the structure by hand such that it’s able to perform adequately.
For
example, a typical mechanical bridge may not the optimum way to get
across a valley, even though it’s one possible solution. There is an
alternative train of thought: use optimization algorithms.
Let’s say you’re designing a device to solve a problem. You specify what
functionality it should have, and in response, the algorithm searches
over the entire parameter space, continually modifying the structure at
hand to produce the desired outcome.
Getting back to the Stanford team, the researchers wanted to create an arbitrary structure
that can physically split input light into two separate wavelengths and
send them down two separate waveguides. So they created an optimization
algorithm, which then runs (using a first guess at the structure to
start things off), constantly modifying the structure as it goes,
recording the result, and determining whether the latest structure
produces the optimum output. Eventually, it arrives at the optimal
design. This type of approach (feedback loop), can be thought of as
an optimization algorithm. It tries to find the best (optimized)
solution to some problem where a rigorous approach is either
not possible, computationally unfeasible, or even just produces
non-workable solutions.
Now, from an
electromagnetic point of view, the propagation of light will vary
depending on the refractive index of the medium. It’s possible to use an
optimization algorithm that constantly iterates the spatial refractive
index profile of the volume, in order to ‘force’ the light to propagate
in different directions, depending on its wavelength (in other words,
splitting the light). The optical power of the two waveguide outputs can
be monitored (at the desired wavelengths). Then, after many millions of
iterations, an optimized design can be found. The process is summarized
in the figure below.
The
design process for deriving this device is interesting. Implementing it
in the real world is another matter, and what remains to be solved is
twofold: how long does it take, and what algorithm to use? Firstly, with
any design method based on the above principles, one quickly runs into
the problem of practicality. To actually run the algorithm so that it
concludes with a reasonable outcome, it takes a long time. With this
example, the researchers said it took 36 hours to derive the optimized
structure.
Secondly,
is the outcome actually the ‘optimum’ solution? Simply put, the answer
is maybe. There are a plethora of inverse design algorithms, from the
method used here to using genetic algorithms, and
it’s important that the solution found is not a local optimum, but a
global optimum. Imagine you are deliveryman and need to visit a series
of cities within a certain time period. There are many routes between
them, and many ways of visiting all cities. So it’s possible to visit
all of them using one particular path, but that path may not be the best
solution. There may be one in which your journey is significantly
reduced in distance (the optimum) — in other words, the well-known traveling salesman problem.
Nevertheless,
there is vast potential for this automated design process. The
researchers plan to utilize this technique to create faster and more
efficient integrated photonic circuits in the future.
No comments:
Post a Comment