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[MUSIC]

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Hi, and welcome to Coursera's
Nanotechnology: the Basics.

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I'm Daniel Mittleman.

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This is week four, and the topic of

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week four is nanophotonics, which is the
intersection

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of the world of nanoscience with the world
of photonics, which is the study of light.

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In these series of lectures, we're going
to talk about

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several different ways that, that

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intersection leads to interesting
phenomena.

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In the first lecture here, I want to give
a little bit

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of an introduction about what is light,
and why is it that

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light plus nano leads to something
interesting.

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And what are a few of the situations where
that becomes really relevant.

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So let's start out with what does light
have to do with nano objects.

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Right?

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Well in order to understand that we really
need to understand what's light.

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So, this is the first picture that

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illustrates what's light, light is an
electromagnetic wave.

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Its an isolating electric field and

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magnetic field that propagates through
space.

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And there are many different forms of
light.

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We can

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talk about radio waves, which have a very
long wavelength.

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We can talk about gamma rays, which have a
very short wavelength.

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And all of these various other terms, that
fall in between which

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you've heard of, which chained are

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simply electromagnetic waves with
different wavelengths.

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The visible region of the spectrum is
here.

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It's sort of in the middle of this
picture.

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That's the tiny slice you can actually see
with your eye.

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And that corresponds to wavelengths
between 400 and 700 nanometers.

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So, if that's the wavelength of light,
then that immediately

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raises the question, what has light got to
do with nanoparticles?

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Because there's clearly a size mismatch
between a

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nanoparticle and a light wave, in the same

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kind of ratio that there's a size mismatch

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between a skier and the mountain she's
skiing on.

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Right?

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A nanoparticle is a 100 times smaller than
the wavelength of visible light.

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So then what does light got to do with
nanomaterials?

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It seems like a really logical question to
ask.

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So, in order to understand that, let's
first

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start out by talking about what is light.

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The properties of light are governed by
Maxwell's equations, which were first

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written down in the 1860s and are still
considered exactly correct today.

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they fit very nicely on a coffee mug.

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but we're not going to try and solve these
equations.

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It's a little bit beyond the scope of the
class.

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Instead I'm simply going to jump straight
to the answer.

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And here's the answer.

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This is really what Maxwell's equations
tell us that

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light is.

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Light is actually, not just one wave, but
two.

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It's an electric field, which is shown
here in red,

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and a magnetic field, which is shown here
in blue.

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They oscillate at the same frequency, they
propagate together through space.

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There's always both of them, never just
one.

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So in order to talk about what is light we
need some

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terminology which will appear throughout
the entire week of lectures this week.

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So let's start defining some terms.

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The first and most important one is the
wavelength.

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The wavelength of the light is symbolized
by the Greek letter lambda and you will

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see that in every lecture this week so
please get use to lambda being wavelength.

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What we mean by the wavelength is simply
the distance from

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the peak of one oscillation to the peak,
the next peak over.

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So it's simply the distance in space that
a wave oscillates.

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The oscillation distance, the peak-to-peak
distance.

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As I've mentioned, for visible light that
corresponds to somewhere

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between around 400 and 700 nanometers,
roughly speaking.

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For infrared, it's larger.

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For ultraviolet, it's smaller, and so on.

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The other important quantity here is the
frequency, which

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has also got a frequency, that's the Greek
letter nu.

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And the frequency is simply, if you sit at
a point in space, and

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the wave goes by you, how many times do
you see a cycle per second?

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How many cycles per second?

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So that's the frequency of a wave.

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So those two numbers turn out to be
related by this simple

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equation here, which is a good one to
remember.

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Lambda times nu equals c, c is the speed
of the wave.

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If the speed of the wave is a constant
number, then lambda,

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the frequency times the wavelength has to
be equal to that constant.

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So if the frequency goes up, the
wavelength has

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to go down, such that their product
remains constant.

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Of course, for light waves in empty waves,
the speed of the wave is a

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fixed constant of the universe, it never
changes, and that's a good number to know.

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That's the

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speed of light in empty space.

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That's really the speed limit of the
universe.

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Nothing, no energy, no information, no
objects

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can ever travel faster than that speed.

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Okay, so what are some other properties of
light?

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Well clearly light carries energy.

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We know this because if we stand outside
on a sunny day we warm up.

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That's energy being carried from the sun
to our skin by a light wave.

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to talk about the energy in a light wave,

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we have really two different ways to do
this.

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Number one is to talk about the energy of
a single photon.

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And, a photon of course is the quantum
version of what a light wave is.

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It's the smallest fundamental unit of a
light wave, if you like.

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It's the indivisible quantum, of a light
wave.

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and the energy of a single photon is
simple h nu.

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Nu is the frequency that I just talked
about and

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h is Planck's constant, which is another
fundamental universal constant.

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So, if you have a larger

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frequency light wave, that corresponds to
a

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smaller wavelength, and a higher photon
energy, right?

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The photon energy is proportional to its
frequency.

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Another way to talk about the energy
carried

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by a light wave as a more macroscopic
quantity.

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This is the intensity of a light wave.

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It's the total power falling on the
surface area.

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So it's the energy per area per time.
And energy per time is power, right?

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So the units are watts per square meter.
Really the

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correct terminology is not intensity but
irradiance, that's

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the correct term, but people are often
sloppy

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and say intensity when they mean
irradiance, so

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we just have to get used to that.

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Some good examples to just give you some
scale of numbers.

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If you stand outside on a sunny day and
the sun is straight

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overhead, then the intensity of the light

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is approximately a kilowatt per square
meter.

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The world's most powerful lasers are much
bigger numbers

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than that, they're more like 10 to the
20th watts

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per square meter, and that's obviously
something you

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would not want to stand in front of.

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Okay, so how can we make light talk to
objects on the nano scale?

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Well, one clear way that we can think
about this

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is by simply focusing the down to a tiny
spot.

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Right?

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And by putting a lens in front of a laser

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beam, we focus that laser beam down to a
tiny spot.

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Right, or by using a magnifying glass in
front of the sun.

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We get a little spot of light.
So how big is the spot that we can make?

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Right?
So, let's think about that.

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If we take a lens which has a certain
diameter

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D, and the light wave completely fills the
lens, right?

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And then a focal length f, so at one

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focal length distance away, we will get a
tiny spot.

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So, how big is the spot?

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Well, the calculation's a little
sophisticated, a little

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complicated, so let's just jump to the
answer.

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The answer is that the spot size is twice
the f number, times the wavelength.

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And here's the f number.
The f number

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is simply the ratio of the focal length,
divided by the diameter.

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So, it's a property of the lens.

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So, the important thing to realize here is
that, that's

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the spot, that limits how small a spot
size can be.

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And the reason is because it's very hard
to make

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a lens with an f number smaller than a
half.

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That's really tough.

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So that means that the spot size is,
practically speaking,

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are never going to be much smaller than
the wavelength.

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Okay, you cant maybe get a little smaller
but not a lot smaller.

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And that limit is called

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the defraction limit.

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The defraction limit is, how small can you
focus light?

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and, and, if it's really limited by the
diffraction of waves.

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Now diffraction is a phenomena that is a

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general property of any wave, not just
light waves.

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and it's really what causes the limiting,
the, what

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limits how small we can focus a light wave
down.

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This is why, for example, when you look
through a microscope, you can see cells,

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because cells are bigger than the
wavelength

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of the light you're using to see them.

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But you can't

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see nanoparticles in an optical
microscope, because they're smaller.

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So you can't see things smaller than the
wavelength, roughly speaking.

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Diffraction is a bit of a hard concept to

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grasp, so here's a little video that will
illustrate a

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diffraction phenomenon to show you, kind
of, what goes on

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when you try and put light through a tiny
aperture.

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Diffraction is a phenomenon that is

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exhibited by all waves, including light
waves.

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And basically, diffraction is

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what happens when a light wave encounters
some sort of obstruction or aperture

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or scattering site, and then after the
scatterer the waves that scatter from

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different parts of the object will

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interfere constructively and destructively
with each other

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downstream to create some sort of
complicated

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pattern, that's known as a diffraction
pattern.

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So this is illustrated in the picture
here, where

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our diffracting object is actually a very
simple object.

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It's just a slit,

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which is a pair of metal razor blades

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that can be moved closer together and
further apart.

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And what you're seeing now, is a video of
what that slit looks like,

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without the laser beam on it, just so you
can picture what's going on here.

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So, what I have, is the red laser beam and

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the green laser beam pointed together,
onto this slit and as

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I open and close the slit, you can see the

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diffraction pattern changing, because the
diffraction pattern depends on the opening

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size of that slit.

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If I open it a lot, then you'll see

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essentially no diffraction pattern because
the light goes straight through.

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And if I close it down, so that it's a
very small slit,

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then you could see a pattern of light and
dark stripes on the wall.

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And if you look closely, you'll notice
that those light and

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dark stripes are spaced differently for
the green and for the red.

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Because green light has a shorter
wavelength than red light,

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it's diffraction pattern is different,
because the diffraction pattern depends

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on the wavelength of the light.

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Now that you've seen that diffraction can
lead to complicated light patterns

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when you put light through a small
aperture, maybe you can begin

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to appreciate why it's really hard to,
force light through, into a

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spot that's much smaller than the

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wavelength, because things get pretty
complex.

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As an aside, it's worth pointing out, that
there are

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many images we've showed you in this class
already of nanostructures.

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And you now know that those could have not
have possibly

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been taken, those images, could not have
possibly be taken in

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an optical microscope, and now you know
why.

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Because their, the objects you're looking
at

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are smaller than the wavelength of visible
light.

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instead we use typically an electron
microscope to image nanostructures

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and the reason that works is because
electrons behave like waves.

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And, the wavelength of those electrons can
be

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much smaller than the wavelength of
visible light.

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So we can use electrons to image objects
that are smaller than a few hundred nano-

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[INAUDIBLE].

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Okay, so can we overcome this diffraction
limit?

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Can we force light down through a tiny

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hole in order to be able to image
nanostructures.

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Right?

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That's a really good question to ask, and
there's

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a lot of people thinking about how to do
that.

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Sort of the simplest way you might think
about doing that is simply

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just what we did before, take our light
and focus it down with

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the lens, but now at the focus, let's put
an opaque screen, a

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piece of metal, with the sub wavelength
aperture, a little hole in it.

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Okay?

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And see if we can force the light through

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that little hole.

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So, interestingly this does work, although
typically you don't use

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a flat piece of metal with a hole in it,

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you use a different geometry which is say,
for example

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an optical fiber, which has been coated by
a metal coating.

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And then that tapers down to a tiny spot
tiny tip and then at

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the tip you have a little bitty opening
where the light can leak out.

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And if that opening is small, smaller than
the wavelength,

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and you hold that tip very close to the
surface

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you want to image, again on the nanometer
scale close, then

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you can make images of that surface which
are with

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a resolution, a spatial resolution that is
smaller then the wavelength.

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Because the size of the hole is what

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determines your resolution, not the
wavelength of the light.

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So this can be done, it works its a
technique known

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as near field scanning optical microscopy
usually abbreviated NSOM, like this, and

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here you're seeing a couple of examples.

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This is an NSOM image showing individual
molecules in florescence.

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And this is an NSOM image showing the
light emission from a smaller laser

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which is not coming uniformly from
everywhere

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on the laser, they are clearly hot spots.

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So there's, clearly NSOM is a powerful
technique for being able to image

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things with light, of visible wavelengths,
on a scale smaller than the wavelength.

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The best, the world's record that I'm
aware of,

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the best resolution for NSOM is about
lambda over 30.

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More typical is probably lambda over 10.

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So, NSOM works well for imaging below the
wavelength, but you're really

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not going to get below it, I mean, you
can't do lambda over 1,000.

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So we still can't image individual
nanoparticles using NSOM.

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So, what else is interesting about nano
plus photons?

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Well, I want to talk about three

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situations in which that combination is
important.

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Number one is that the sensing of things
on the nano scale is often transduced.

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The signals are often transduced with
light.

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And we've seen examples of this before.

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Here's one example, which is the example
of

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atomic force microscopy, where the signals
are let,

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read out by bouncing a laser off of the
structure that has a nano component to it.

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So, that's one example of transducing a
signal from the nano

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scale to a place where we can read it
using light.

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And that, there are numerous examples of
that.

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a second idea, is another one we've
encountered before which is that the

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optical properties of materials often
change

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when we make those materials nano sized.

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And the conical example of this that

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we've discussed on several occasions in
this class

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is the idea of quantum confinement, where

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if you take a semiconductor nano particle
and

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go from a big one to a small one, then you
shift the color the

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emission, because you've changed the
electronic structure,

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the electronic level spacings, of the
material by

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virtue of having, by making it small.

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That causes the level spacing to change,
and

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therefore the color of the light to
change.

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And we will talk in more detail about this
in subsequent lectures this week.

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A third idea, which we will also address
in some

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detail this week, is a little bit
different from that one.

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Instead of changing the properties of the
material, what we're doing is

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structuring the material, in order to
change the way it interacts with light.

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So the important idea here is that when

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you structure a material on the nano
scale,

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you can change the interaction with light

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even if the intrinsic material properties
are unchanged.

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And let me give you a thought experiment
to, to illustrate what I mean here.

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So let's supposed you're looking at a
window, ordinary window pane.

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And let's suppose that we replace the pane
of glass with a

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thinner one and then a thinner one and
then a thinner one.

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The question is, does the view out the
window change?

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And the answer is, if you make the glass
thin

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enough, on the hundreds of nanometers
scale, then indeed the view

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does change and that's not because the
properties of the glass have changed,

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it's because of the way that

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that nanostructure interacts with light
has changed.

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And we'll talk about this in subsequent
lectures this week.

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So the big ideas for today's lecture are,
first of all

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that light has a characteristic length
scale, which is the wavelength.

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Please get used to that symbol lambda
because it

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will, you will see it in every lecture
this week.

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which is much larger than a nanometer.

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On the other hand despite

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that the interaction of light with

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nanomaterials is interesting for three
reasons.

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First of all, nano-enabled sensing is
often enabled by transduction with light.

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00:14:29,700 --> 00:14:32,640
Number two, in certain types of materials
when you make them

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00:14:32,640 --> 00:14:35,140
nano, their properties really change,
including

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00:14:35,140 --> 00:14:37,070
their way they interact with light.

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And number three, even if their properties
don't change, by structuring them on the

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00:14:40,320 --> 00:14:44,860
nano scale, we can really create new ways
for that material to interact with light,

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00:14:44,860 --> 00:14:46,990
which can give us really new and exciting

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00:14:46,990 --> 00:14:50,420
possibilities for, for devices and
components and structures.

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Thanks for listening.

