lect28cont

lect28cont - Photonic Crystals: An Introduction What is a...

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Photonic crystal is a one-, two- or three-dimensional periodic dielectric medium with a period of the order of the wavelength of electromagnetic wave • What is a photonic crystal? • What special optical properties does it possess? • How these properties can be understood? The main property of a photonic crystal is a photonic band structure , which can be engineered in purpose One can engineer spectral and spatial dispersion History: 1972 - Bykov, 1978 - Zengerle, 1979 - Ohtaka, 1986 - Russell, 1987 - Yablonovitch, 1987 - John Photonic Crystals: An Introduction
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Photonic Crystals: An Introduction LEGO for light from nanoblocks
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Photonic crystals: Periodic arrangement of dielectric (metallic, polaritonic…) objects Lattice constants comparable to the wavelength of light in the material Diffraction gratings Semiconductors for Light Photonic Crystals: An Introduction Steven G. Johnson and J. D. Joannopoulos, MIT
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After Bruyant et al. (2003) After Loncar et al. (2000) After Lin et al. (1998) 1D 2D 3D Photonic Crystals
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“A Worm Ahead of its Time” http://www.physics.usyd.edu.au/~nicolae/seamouse.html 20cm Sea Mouse and its hair Normal incident light Off-Normal incident light
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3μm Morpho rhetenor butterfly Nature was the First… P. Vukosic et al., Proc. Roy. Soc: Bio. Sci. 266, 1403 (1999) B. Gralak et al., Opt. Express 9, 567 (2001)
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Peacock feather FCC in live nature J. Zi et al, Proc. Nat. Acad. Sci. USA, 100, 12576 (2003) Blau, Physics Today 57, 18 (2004) Welch, et. al. Phys. Rev. E, 2007 Nature was the First…
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http://www.australianblackopals.com/images http://www.opals-of-light-and-fire.com/web_images/black-opal-1.jpg Natural opal Artificial direct and inverse opals Nature was the First…
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Feature Size Defines All
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Bragg Law and multiple reflections 2 a n Two waves should come in-phase to interfere constructively: Reflected waves add up constructively Bragg Law 12 aa a n Wavelength Reflection Bragg Law
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a/2 a/2 n 1 n 2 n 1 n 2 11 1 2 2 a na n  22 2 2 2 a n 12 nn Frequency Reflection  n 2 1 2( ) ( ) ca n n n   ± Bragg Reflection
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() c n kk =( )  k   n Bandgap
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lect28cont - Photonic Crystals: An Introduction What is a...

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