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An application of deterministic aperiodic structures : Sensing with Plasmonic quasi- crystals Ata Akatay July 24, 2009 Photonic Crystals - Romuald Houdré

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Application idea periodic media => the formation of well-defined energy gaps disordered random media => the presence of localized eigenstates with high field enhancement and Q-factors deterministic aperiodic structures => Suggest solutions in between « defined by the iterations of simple mathematical rules, rooted in symbolic dynamics, prime number theory and L-system inflations » Dal Negro, L. and N. N. Feng (2007) deterministic aperiodic structures

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Periodic Fibonacci quasi-periodic structures Thue–Morse and aperiodic structures Rudin–Shapiro structures absolutely continuous singular continuous quasiperiodic Dal Negro, L. and N. N. Feng (2007)

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Fractal Fourier spectra Fibonacci quasi-periodic structures Thue–Morse and aperiodic structures Rudin–Shapiro structures Dal Negro, L. and N. N. Feng (2007)

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Aperiodic nanoparticle chain Dal Negro, L., N. N. Feng, et al. (2008)

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The dipole equations of motion : Transfer matrix approach valid within the dipole approximation Simplifies to :where, In frequency domain : and gives : Dal Negro, L. and N. N. Feng (2007)

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Analysis the integrated density of states (IDS) of the chain: participation ratio yields a quantitative measure of the localization degree of the eigenstates:

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Dal Negro, L. and N. N. Feng (2007)

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Dal Negro, L., N. N. Feng, et al. (2008)

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Conclusion whispering-gallery (WG) mode microcavities low shifts of modal frequencies SP sensors, which benefit from high values of field intensities in the detection region broad resonance linewidths (low Q-factors), which is a limiting factor in the spectral resolution of such devices. deterministic aperiodic structures Can be designed for more flexible solutions

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References 1.Dal Negro, L. and N. N. Feng (2007). "Spectral gaps and mode localization in Fibonacci chains of metal nanoparticles." Optics Express 15(22): Dal Negro, L., N. N. Feng, et al. (2008). "Electromagnetic coupling and plasmon localization in deterministic aperiodic arrays." Journal of Optics a- Pure and Applied Optics 10(6): -.

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