Re: IEEE: Bending Light/Physics

From: Alejandro Dubrovsky (s328940@student.uq.edu.au)
Date: Mon Apr 07 2003 - 14:09:51 MDT

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    On Tue, 2003-04-08 at 05:16, Adrian Tymes wrote:
    > --- Spudboy100@aol.com wrote:
    > >
    > > Yes, resulting in the development of vastly,
    > > improved telescopes for spysats,
    > > and especially astronomical telescopes, and whatever
    > > these might uncover.
    > > Improved capabilities for holography, as well as
    > > optical computing. Other
    > > possibilities might include greatly enhanced fresnel
    > > lenses for solar
    > > heating, and or photovoltaics, and perhaps themionic
    > > conversion. According to
    > > the article, Eleftheriades and his team weren't
    > > certain that what they had
    > > discovered was possible, and this was last December.
    > > Seems like a useful
    > > tool-set. We'll see house this discovery gets used
    > > and how quickly.
    >
    > ...it's a *lens*. A rather obvious type, it seems to
    > me. Yes, lenses have all kinds of uses; this is just
    > putting a lens inside a carefully-created flat sheet.
    > I fail to see the significance over what we already
    > had, for instance how it can significantly improve
    > performance over presently available lenses in any of
    > the areas you mentioned. Could you explain what I am
    > failing to grasp, please?

    It's not a usual lens. I (disagree/don't know enough about the physics
    to agree with) Spudboy's supposed applications of the lens. The
    benefits of these lenses over the standard type is that, over certain
    frequency ranges, they can amplify the higher order components of light
    that are only usually noticeable close to the source, letting you focus
    light down to less than the usual half-a-wavelength size.
    I've pasted an old (April 2001) but relevant New Scientist article
    below:

    Perfect focus

    New Scientist vol 170 issue 2286 - 14 April 2001, page 35

      

    A material born from one physicist's flight of fancy could revolutionise
    a medical imaging technique and answer the computer industry's prayers,
    says Justin Mullins

      

    MORE than three decades ago, an obscure Russian physicist invented a
    freakish material. It was not a real material that could be bent or
    broken. Instead, Victor Veselago had dreamed up an imaginary substance,
    and wondered what unworldly properties it might have. A harmless
    pursuit, you might think, for someone working at the General Physics
    Institute of the Russian Academy of Sciences in Moscow. But Veselago's
    work was no an idle flight of fancy.

    On the contrary, it was built on the soundest of scientific
    foundations—the laws of electromagnetism laid down by James Clerk
    Maxwell one hundred years before, that describe how light behaves as it
    passes through any medium. Veselago's whim was to change the value of
    two of the constants in Maxwell's equations from positive to negative.
    He wanted to know what properties such a material might have, and also
    hoped to have a little fun finding out.

    He immediately realised that his creation would behave in some very
    strange ways. Veselago even came to Europe in the early 1970s to promote
    his ideas, but his work was regarded as little more than a curiosity.

    That changed last year when physicists announced that they had finally
    created his fantasy material. It is unlike any substance ever seen. It
    has a structure like a distorted honeycomb and contains wires and
    strange electronic components rigidly suspended in repeating patterns.
    The announcement prompted a flurry of theoretical and practical work on
    its properties. And amazingly, this has revealed that Veselago's
    material, and others like it, are more remarkable and useful than even
    he had imagined.

    Over a century before Veselago's thought experiment, Maxwell had
    developed his equations to describe the way electromagnetic waves such
    as light pass through things like glass, water and air. But rather than
    working out exactly how the two components of light—oscillating electric
    and magnetic fields—vary at every point in a particular material,
    Maxwell realised that it was possible to simplify the calculations by
    taking a kind of average of the fields throughout the material.

    He found that for a given frequency of light, this averaging introduces
    a constant factor into his equations. In the case of the magnetic field,
    this averaging factor is called the magnetic permeability, and for the
    electric field it is the electrical permittivity. These constants are
    especially useful to scientists and engineers because they describe the
    overall behaviour of light as it passes through the material and can be
    used to determine quantities such as the speed of light in that medium
    and its refractive index—how much it bends light.

    So what happened when Veselago created his imaginary substance by
    changing the value of these constants to -1? Inside his fantasy
    material, the usual relationship between the electric and magnetic
    fields was reversed.

    Light consists of an electric field and a magnetic field oscillating at
    right angles to each other and to the direction in which the light is
    travelling (see Diagram). Physicists have a trick for remembering how
    these three are oriented, known as the right-hand rule. Arrange the
    thumb, forefinger and middle finger of the right hand in such a way that
    they point at right angles to each other. The thumb represents the
    direction that the light is travelling, the forefinger represents the
    plane of the electric field and the middle finger the plane of the
    magnetic field.

    In Veselago's material, however, these quantities obey a left-hand rule,
    as if they were reflected in a mirror—which is why they're called
    "left-handed materials".

    A left-handed material should have some strange properties. It should
    have a negative refractive index, for example, which means that light
    entering it would bend in the opposite direction to light passing
    through conventional materials. And the Doppler effect would also work
    in reverse: normally the frequency of light passing through glass
    increases slightly when the source is getting closer. In left-handed
    materials, though, its frequency would decrease.

    But Veselago never got his hands on a left-handed material. Although the
    permittivity of some natural materials such as ionised gases can be
    negative, the permeability of naturally occurring materials never drops
    below zero. So Veselago was unable to prove his predictions with real
    materials.

    But in 1996, John Pendry, a theoretical physicist at Imperial College,
    London, began thinking about designing new materials. He and his team
    investigated the effect that a regular array of thin, parallel
    conducting wires would have on a particular kind of electromagnetic
    radiation—microwaves. They predicted that the average effect of the
    wires would make it look as if the waves were moving through a material
    with negative electrical permittivity.

    Pendry reasoned that if simple wires could produce such an exotic
    medium, why not arrays of other electrical components? So he began to
    calculate the bulk properties of other strange concoctions. In 1999, he
    published theoretical calculations for a number of other materials. One
    in particular caught the eye of David Smith and his colleagues at the
    University of California in San Diego.

    "It was a very unusual and very unexpected effect," says Smith. What
    Pendry was predicting was that a structure consisting of a periodic
    arrangement of simple electronic components would have a magnetic
    permeability that was negative at microwave frequencies. The electrical
    components were split ring resonators—C-shaped circuits about the size
    of the capital Cs in this article. Smith and his colleagues immediately
    set about trying to prove Pendry's results experimentally.

    Creating an array of split ring resonators is not difficult. The team
    simply printed C-shaped copper circuits onto a sheet of fibreglass using
    the conventional lithographic techniques used to make circuit boards.
    They then cut up the sheets and stacked the slices, like a loaf of
    sliced bread. But they decided they might as well go further and create
    a material with both negative permittivity and permeability—a truly
    left-handed material.

    Thanks to Pendry's earlier work, modifying the material to give it a
    negative permittivity turned out to be relatively straightforward. Smith
    simply inserted arrays of fine wires into the gaps between the sheets of
    resonators. Without the wires, the material absorbs microwaves at more
    or less all frequencies. But when the arrays were inserted, the group
    discovered that microwaves of around 5 gigahertz could pass through.
    They also found evidence that the orientation of the electric and
    magnetic fields was reversed, just as Veselago had predicted. The
    conclusion was inescapable. Smith and his colleagues had created the
    world's first left-handed material.

    Their results were published last year to general acclaim, and new
    studies are underway. Meanwhile, Pendry continues to make new
    predictions for these materials.

    Last October, he published the results of an investigation into the
    electromagnetic properties of left-handed materials on a scale of a few
    nanometres—in a region known as the "near field". The near field is a
    kind of twilight zone close to the light source in which the electric
    and magnetic fields behave wildly. On this scale there are all kinds of
    components to the field that you never normally see, says Pendry. These
    components are called evanescent waves and they die away rapidly as they
    travel from the source, such as an excited atom in a light bulb. After a
    few wavelengths the evanescent waves are so weak that physicists can
    safely ignore them.

    But evanescent waves cause one of the biggest headaches in optical
    physics. When evanescent waves fade away, the fine detail they contain
    about the source is lost. So no matter how good a lens is at focusing
    light, it can never create a perfect image of the source without the
    near field—there will always be an inherent "fuzziness", which means
    scientists can't focus light to a spot much smaller than its wavelength.
    This restriction is known as the diffraction limit and it causes
    problems in all kinds of applications. For example, it limits the size
    of transistors that can be carved using photolithographic techniques and
    the amount of information that DVDs can store.

    Pendry discovered that, in theory, left-handed materials can have a
    remarkable restorative effect on evanescent waves and even focus them to
    create a perfect image of the source. Nobody was more surprised at this
    than Pendry himself. "It's a very unusual and surprising idea and I
    didn't expect it to work," he says. But his mathematics was checked and
    rechecked and the work was published in Physical Review Letters (vol 85,
    p 3966).

    The focusing works very differently from a conventional lens. Imagine a
    light source placed just nanometres from a thin slab of left-handed
    material. The source emits light, including evanescent waves, which
    enter the material making electrons in it oscillate. Since the slab is
    very thin, the light and evanescent waves pass through, causing
    electrons on the far surface to oscillate as well. The movement of
    electrons on one surface affects movement on the other, through the
    electric field, and at one particular frequency they begin to resonate.
    It is this resonance that amplifies the evanescent waves as they leave
    the medium.

    The material has a negative refractive index, so the flat slab focuses
    the light like a lens, creating an image. But unlike conventional
    lenses, which can't focus evanescent waves, the image is perfect—so
    Pendry has coined the term superlenses to describe his slabs of
    left-handed material. Of course, to catch the evanescent waves the lens
    has to be placed a lot less than a wavelength from the source. For
    visible light, that would be within a few tens of nanometres. This could
    be a challenge, says Pendry, but it is already possible to position
    objects with this kind of precision using atomic force microscopy, for
    example. And if you work with radio waves, the near field stretches for
    many centimetres, so the tolerances for positioning are more forgiving.

    Strange materials like those made by Smith should work as superlenses
    for microwaves and radio waves. In fact, Smith and a team from UCSD have
    just created the first superlens with a negative refractive index for
    microwaves. But Pendry reckons that a much more common material should
    do the same for visible light. Metals such as silver exhibit negative
    permittivity at the frequency of visible light, but have a positive
    permeability. However, Pendry calculates that for evanescent waves the
    permeability can be ignored. It turns out that a slab of silver just 40
    nanometres thick placed 20 nanometres from the source should act as a
    superlens (New Scientist, 28 October 2000, p 22). "The reason we haven't
    seen this before is that nobody has looked," he says. "We're not sure
    what we can do with it but we have a few ideas."

    Pendry's other ideas are already finding applications. One of the most
    promising is in the field of magnetic resonance imaging. MRI machines
    work by placing a sample—usually a patient—inside a powerful magnetic
    field. A blast of high-frequency radio waves forces nuclei in water
    molecules to spin in a particular way and to re-emit radio waves at a
    different, characteristic frequency. This signal is used to build a
    computer image that is useful for diagnosing diseases such as cancer.
    However, these machines require powerful superconducting magnets that
    are expensive and bulky. The size of the machine prevents access to the
    patient, so it can't be used to monitor surgery in real time.

    But Pendry's superlenses could change all that. In February, Pendry and
    his colleagues published the results of preliminary work in which they
    tailored the properties of a left-handed material to channel radio
    signals to a detector outside the machine. The team made it by rolling a
    thin sheet of conducting material onto a plastic rod 20 centimetres
    long, giving it a spiral cross section like a Swiss roll, and then
    packing a number of these rods tightly together into a bundle. Instead
    of working like a lens, the material acts like a waveguide carrying
    radio waves from the nuclei in the sample to a detector. The team has
    published an image of a thumb produced in this way. Being able to use
    smaller detectors outside the machine should allow MRI scanners to be
    smaller and cheaper. Eventually superlenses could even focus radio waves
    onto tiny parts of the sample, allowing a much more detailed image to be
    built up by scanning the focused radio waves across a patient, for
    example.

    Eventually, superlenses could also have a dramatic impact on the way
    silicon chips are made. The size of transistors is currently limited by
    the wavelength of light used in photolithography. Since superlenses can
    focus details in a way that doesn't depend on the wavelength of light,
    they magically remove this barrier and could help chip makers to build
    smaller circuits. The amount of information stored on compact discs and
    DVDs is also restricted by the ability of conventional lenses to focus
    light to a small spot. Here, too, superlenses could help.

    They could even improve the way radio antennas work. Radar beams produce
    extra radiation at right angles to the main beam that create noise and
    reduce the radar's efficiency. Pendry believes that superlenses could
    clean up the side lobes and produce a more directed main beam. In
    addition, Ely Yablonovitch at the University of California, Los Angeles,
    is making a left-handed material to help reduce exposure to radiation
    from mobile phones.

    Pendry is convinced that these materials have an exciting future. "I'm
    still at the gawping stage, but people will gradually think of
    applications," he says optimistically. "They couldn't think what to do
    with lasers when they were first invented—but now look at them."

    Justin Mullins



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