An application of deterministic aperiodic structures sensing with plasmonic quasi crystals
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An application of deterministic aperiodic structures : Sensing with Plasmonic quasi-crystals . Ata Akatay July 24, 2009 Photonic Crystals - Romuald Houdré. Application idea. periodic media => the formation of well-defined energy gaps disordered random media

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An application of deterministic aperiodic structures : Sensing with Plasmonic quasi-crystals

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An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

An application of deterministicaperiodic structures : Sensing with Plasmonic quasi-crystals

Ata Akatay

July 24, 2009

Photonic Crystals - Romuald Houdré


Application idea

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

deterministic aperiodic structures

« 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)


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

Fibonacci quasi-periodic structures

Periodic

quasiperiodic

absolutely continuous

singular continuous

Rudin–Shapiro structures

Thue–Morse and aperiodic structures

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


Fractal fourier spectra

Fractal Fourier spectra

Fibonacci quasi-periodic structures

Thue–Morse and aperiodic structures

Rudin–Shapiro structures

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


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

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


Aperiodic nanoparticle chain

Aperiodic nanoparticle chain

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


Transfer matrix approach valid within the dipole approximation

Transfer matrix approach valid within the dipole approximation

The dipole equations of motion :

In frequency domain :

Simplifies to :

where,

and gives :

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


Analysis

Analysis

the integrated density of states (IDS) of the chain:

participation ratio yields a quantitative measure of the localization degree of the eigenstates:


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

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


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

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


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

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


An application of deterministic aperiodic structures sensing with plasmonic quasi crystals

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


Conclusion

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


References

References

  • Dal Negro, L. and N. N. Feng (2007). "Spectral gaps and mode localization in Fibonacci chains of metal nanoparticles." Optics Express 15(22): 14396-14403.

  • 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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