Lecture 15 - Compensating Losses in Surface Plasmons with Gain and Nanolaser (student presentation)

Lecture 15 - Compensating Losses in Surface Plasmons with Gain and Nanolaser (student presentation)

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Birck Nanotechnology Center Compensating Losses in Surface Plasmons with Gain and Nanolaser Sourabh Dongaonkar, Sambit Palit, Yui H. Matthias Tan, Muhammad Masuduzzaman, Deepanjan Datta, Samiran Ganguly, Xingjie Ni, Jieran Fang November 24, 2009 1
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Birck Nanotechnology Center Outline Introduction and Background Loss compensation Theory Realization Recent developments Other mechanisms Nanolasers Summary November 24, 2009 2
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Birck Nanotechnology Center Surface Plasmon Polaritons Oscillations in metal electron gas due to EM excitations Many exciting opportunities Surfaces Propagating SPP Nanoparticles Localized SPP *From Lectures Nanophotonic Circuits Plasmonic Waveguides Novel Biosensors Near Field Optics November 24, 2009 3
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Birck Nanotechnology Center Loss Mechanisms Internal Damping Resistive/Joule Heating Loss Photoemission – for ħω > φ m Radiation Damping Back coupling of k zm Radiation resistance Secondary Effects Roughness induced radiation Directional Scattering Landau Damping November 24, 2009 4 *Dawson et al. PRB vol.63,205410, 2001 †Lee et al. APL, vol. 86, 141105 2005 * #Beermann et al. Opt.Exp., vol. 17, 12698, 2005 #
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Birck Nanotechnology Center Internal/Resistive Damping November 24, 2009 5 3 ' '' 2 2 ' ' 2 m d m sp md m k c ' Im[ ] 0 d mm 1 2 sp sp sp sp g Lk L T v Ag air L sp = 22 μm at λ = 514.5 nm Propagating SPP Localized SPP 0 3 2 d i EE 2 ''2 1 i m WE ' At Resonance
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Birck Nanotechnology Center Radiative Damping November 24, 2009 6 Propagating SPP 1 2 2 2 , zd d sp air kk c Re[ ] 0 zd k Localized SPP 1 ' 2 '2 md m m c d ε m ( δ m < t m ) ε d2 ε d1 ' ' '' 0 2 2 ' 2 3 ''2 3 2 '' ' 2 0 max 1 im d m d m m i e m d m m d E E A iR i A iR E T E R A R * Google Images 2 3 4 3 1 3 V R A # # Wokaun et al., PRL, vol. 48, 957, 1982
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Birck Nanotechnology Center Secondary Effects November 24, 2009 7 Roughness induced Radiation Loss ε m ( δ m < t m ) ε d2 ε d1 ' 5 22 1 21 3 m sc d L v ζ – correlation length δ – RMS height Radiates into the ε d1 medium ' 5 1 31 4 m rad d L v Directional Elastic Scattering Landau Damping * * * Mills et al., PRB, vol. 12,4036, 1975 # # L D Landau J.Phys. USSR, vol. 10, 25, 1946 p sp th k v ! Wikipedia ! Tsu, Phys.Rev. vol. 164, 380, 1967
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Birck Nanotechnology Center Outline Introduction and Background Loss compensation Theory Realization Recent developments Other mechanisms Nanolasers Summary November 24, 2009 8
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Birck Nanotechnology Center Regimes of SPP propagation November 24, 2009 9 Condition for bound solution Im(k z,1 )>0, (SPP waves are bound waves) Metal (2) Dielectric (1) z x 2 1 1 2 2 2 2 2 2 0 , 0 1 2 1 2 1 2 1 2 ' '' ' ' ' ' ' ' , jj x z j i ii k k k k 22 2 2 1 1 2 2 2 1 1 2 1 8 ' ' ' 8 ' ' ' Condition for lossless/amplified propagation of SPP Im(k x )<0 2 2 1 2 1 2 1 2 ' ' Direction of wavefront tilt ( P = E x H ), depends on sign of Re( P.z ) 0 1 2 3 2 1 '' '' ˆ Re .
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Lecture 15 - Compensating Losses in Surface Plasmons with Gain and Nanolaser (student presentation)

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