
The opal in this bracelet contains a natural periodic microstructure responsible for its
iridescent color. It is essentially a natural photonic crystal, although it does not have a complete photonic band gap.
'Photonic crystals' are periodic
optical (nano)structures that are designed to affect the motion of
photons in a similar way that periodicity of a
semiconductor crystal affects the motion of
electrons. Photonic crystals occur in nature and in various forms have been studied by science for the last 100 years.
Introduction
Photonic crystals are composed of periodic
dielectric or metallo-dielectric
(nano)structures that affect the propagation of
electromagnetic waves (EM) in the same way as the
periodic potential in a
semiconductor crystal affects the
electron motion by defining allowed and forbidden electronic
energy bands. Simply put, photonic crystals contain regularly repeating internal regions of high and low dielectric constant. Photons (manifesting in this case, their wave-like nature) propagate through this structure - or not - depending on their "wavelength". Wavelengths of light (stream of photons) that are allowed to travel are known as "modes". Disallowed bands of
wavelengths are called photonic
band gaps. This gives rise to distinct optical phenomena such as inhibition of
spontaneous emission, high-reflecting omni-directional mirrors and low-loss-
waveguiding amongst others.
Since the basic physical phenomenon is based on
diffraction, the periodicity of the photonic crystal structure has to be of the same length-scale as half the wavelength of the EM waves i.e. ~200 (blue) to 350 (red) nm for photonic crystals operating in the
visible part of the spectrum - the repeating regions of high and low dielectric constants have to be of this dimension. This makes the fabrication of optical photonic crystals cumbersome and complex.
Naturally Occurring Photonic Crystals
A prominent example of a photonic crystal is the naturally occurring gemstone
opal. Its play of colours is essentially a photonic crystal phenomenon based on
Bragg diffraction of light on the crystal's lattice planes.
Another well-known photonic crystal is found on the wings of some butterflies such as those of genus
Morpho [1].
History of Photonic Crystals
The simplest form of a photonic crystal is a one-dimensional periodic structure, such as a
multilayer film (a ''Bragg mirror''); electromagnetic wave propagation in such systems was first studied by
Lord Rayleigh in
1887 [2], who showed that any such one-dimensional system has a
band gap. One dimensional periodic systems continued to be studied extensively, and appeared in applications from
reflective coatings where the reflection band corresponds to the photonic band gap and to distributed feedback (DFB)
diode lasers where a
crystallographic defect is inserted in the photonic band gap to define the laser wavelength.
Two dimensional periodic optical structures, without band gaps, received limited study in the
1970s and
1980s. The possibility of two- and three-dimensionally periodic crystals with corresponding two- and three-dimensional band gaps was not suggested until 100 years after Rayleigh, by
Eli Yablonovitch and
Sajeev John in
1987 [3] [4], and such structures have since seen growing interest by a number of research groups around the world, with potential applications including
LEDs,
optical fiber, nanoscopic lasers, ultrawhite pigment, radio frequency antennas and reflectors, and photonic
integrated circuits. Many research groups have recently succeeded in controlling the pace of
light emission using photonic crystals
[5]. In the process, they have verified the then 17-year old prediction of American physicist
Eli Yablonovitch that ignited a world-wide rush to build tiny "chips" that control light beams. Researchers say it has many potential uses, not only as a tool for controlling quantum optical systems, but also in efficient miniature lasers for displays and telecommunications, in
solar cells, and even in future
quantum computers.
Fabrication Challenges
The major challenge for higher dimensional photonic crystals is in fabrication of these structures, with sufficient precision to prevent scattering losses blurring the crystal properties and with processes that can be robustly mass produced. One promising method of fabrication for two-dimensionally periodic photonic crystals is a
photonic-crystal fiber, such as a "holey fiber". Using fiber draw techniques developed for
communications fiber it meets these two requirements.
For three dimensional photonic crystals various techniques
[6] have been used including
photolithography and etching techniques similar to those used for
integrated circuits. To circumvent
nanotechnological methods with their complex machinery, alternate approaches have been followed to grow photonic crystals as self-assembled structures from
colloidal crystals.
Applications
Photonic crystals are attractive optical materials for controlling and manipulating the flow of light. One dimensional photonic crystals are already in widespread use in the form of
thin-film optics with applications ranging from low and high reflection coatings on lenses and mirrors to
colour changing paints and
inks.
Higher dimensional photonic crystals are of great interest for both fundamental and applied research, and the two dimensional ones are beginning to find commercial applications. The first commercial products involving two-dimensionally periodic photonic crystals are already available in the form of
photonic-crystal fibers, which use a nanoscale structure to confine light with radically different characteristics compared to conventional
optical fiber for applications in nonlinear devices and guiding exotic wavelengths.
The three-dimensional counterparts are still far from commercialization but offer additional features possibly leading to new device concepts (e.g.
optical computers), when some technological aspects such as manufacturability and principal difficulties such as disorder are under control.
See also
★
Photonic-crystal fiber
★
Thin-film optics
★
Superprism
References
1. S. Kinoshita, S. Yoshioka and K. Kawagoe “Mechanisms of structural colour in the Morpho butterfly: cooperation of regularity and irregularity in an iridescent scale” Proc. R. Soc. Lond. B 269, 1417-1421 (2002) http://lib.store.yahoo.net/lib/buginabox/kinoshita.pdf
2. J. W. S. Rayleigh, "On the remarkable phenomenon of crystalline reflexion described by Prof. Stokes." Phil. Mag. 26, 256-265. (1888)
3. E. Yablonovitch "Inhibited Spontaneous Emission in Solid-State Physics and Electronics",
Phys. Rev. Lett., Vol. 58, 2059 (1987) http://www.ee.ucla.edu/faculty/papers/eliy1987PhysRevLett.pdf
4. S. John, "Strong Localization of Photons in Certain Disordered Dielectric Superlattices", Phys. Rev. Lett. 58, 2486 (1987) http://www.physics.utoronto.ca/~john/john/p2486_1.pdf
5. P. Lodahl, A.F. van Driel, I.S. Nikolaev, A. Irman, K. Overgaag, D. Vanmaekelbergh, and W.L. Vos "Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals"
Nature 430, 654 - 657 (2004) http://cops.tnw.utwente.nl/pdf/04/nature02772.pdf
6. Review: S.Johnson (MIT) Lecture 3: Fabrication technologies for 3d photonic crystals, a survey http://ab-initio.mit.edu/photons/tutorial/L3-fab.pdf
External links
★ Photonic Crystal Article in Scientific American by Eli Yablonovitch
[1]
★ Yuri A. Vlasov's Collection of Photonic Band Gap Research Links
[2]
★ Prof Yablonovitch's Optoelectronics Group at UCLA School of Engineering and Applied Sciences
[3].
★ Prof John's page at University of Toronto
[4].
★ Prof Vos's group at University of Twente
www.photonicbandgaps.com
★ Photonic crystals tutorials by Prof S. Johnson at MIT
★ Photonic crystals tutorials by Prof Cefe Lopez at ICMM
★ Autocloning at Photonic Lattice, Inc
.
★
ePIXnet Nanostructuring Platform for Photonic Integration
★
PhOREMOST: Nanophotonics to realise molecular scale tecnology