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EM scattering from semiconducting nanowires and nanocones Vadim Karagodsky Enhanced Raman scattering from individual semiconductor nanocones and nanowires, L. Cao et al. and J. E. Spanier, Physical Review Letters, 96, 157402 (2006) On the Raman scattering from semiconducting nanowires, L. Cao, et al. and J. E. Spanier, Journal of Raman Spectroscopy, 38, 697-703 (2007) Electromagnetic scattering from long nanowires, M. E. Pellen et al. and P. C. Eklund, Antennas and Propagation International Symposium, 2007 IEEE.
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Sensors and detectors Couplers Nano-antenna arrays Similarly to surface plasmon resonance in metallic particles and films, semiconducting nanowires are also demonstrated to provide intense resonant enhancement of visible EM light, and to be excellent scatterers. The key factor is: subwavelength dimensions. Applications Motivation
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Backscattering experiment LaserAr + HeNeDiode Wavelength (nm)514.5632.8785 Power (mW)0.30.80.08 Gaussian width ( m) ~1.0~1.2~1.5 ~25 m <5nm = 0.12rad Laser polarization: TM and TE “Nano”-wires (too large): 130nm < diameter < ~1 m “Nano”-cones: Si nanocones / Si nanowires / c-Si(100) wafer (bulk)
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Backscattered intensity 632.8 nm (near the base) twice as large as bulk (diameter~250nm) 5 times larger than bulk
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Backscattering enhancement – 632.8 nm RE=250~300 at the nanocone tip. RE~800 for the 130nm nanowire. Good agreement between nanowires and nanocones. Small but reproducible differences between TM and TE Raman Enhancement (RE) = [I nw /V nw ]/[I bulk /V bulk ] I = scattered intensity; V = probed volume
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Backscattering experiment - wavelength dependence The RE increases with wavelength. Qualitative reason: The enhancement is controlled by the ratio: diameter/wavelength
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Theoretical Model Plane wave / infinite cylinder E-field inside the cylinder Definition of average intensity Avg. intensity inside the cylinder
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RE as a Quality factor - comparison with experiment Q int =I int,nw /I bulk Q scat ~Q int RE=Q Raman ~Q int Q scat ~Q int 2 Reasonable agreement between theory and experiment The calculated values are consistently lower. The undulations are not observed. Suggested reason: Period of undulations: ~70nm Diameter variation across the laser spot: ~170nm.
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Theoretical Model - calculation results The nanowire can be designed for TM/TE mode selectivity Normalized units reveal wavelength insensitivity for small diameters
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E-field – TM:E-Field – TE: FDTD simulation - GaP nanowire (polarization dependence)
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The Raman enhancement depends on the diameter, wavelength and polarization. For small diameters the enhancement over bulk is up to 3 orders of magnitude, due to resonant scattering. Reasonable agreement between theory and experiment. The efficient radiation coupling to Si is good for photonic and sensing properties of Si and Si-based nanostructures. Conclusions
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Suggestions for improvement: Measure the entire scattered spectrum – the enhancement is not necessarily Raman related. Normalize by scattering cross-section instead of probed volume. Revise the Q-factor model for the intensity enhancement. Thank you
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