Coupling of Gain Medium and Extraordinary Optical Transmission for Effective Loss Compensation

Gain mediums attract much attention due to their excellent amplification characteristics. However, the potential applications of gain mediums are severely limited because of the requirement of a high external energy to excite the media, thereby compensating for the ohmic loss. In this paper, we developed a theoretical model by numerically solving the coupled Maxwell’s equations and semiclassical electronic rate equations using the finite-difference time-domain method. In the model, the active gain medium is represented by a four-level atomic system, and the atoms are pumped with a homogeneous pumping rate. Then, we investigated the loss compensation with the synergetic effects of gain mediums and extraordinary optical transmission (EOT) phenomena caused by the excitation of the surface plasmon polariton. With the proposal of a novel gain/metal/gain structure that is patterned to be a periodic subwavelength hole array, the self-consistent process of EOT phenomena coupled to the gain medium enables full compensation of the ohmic loss under a much lower pumping rate. This paper not only presents a novel structure but also provides deep insight into the interaction between nanostructures and gain mediums.

[1]  W. Chew,et al.  Study on spontaneous emission in complex multilayered plasmonic system via surface integral equation approach with layered medium Green's function. , 2012, Optics express.

[2]  A. Taflove,et al.  Finite-difference time-domain model of lasing action in a four-level two-electron atomic system. , 2004, Optics express.

[3]  Jiang,et al.  Time dependent theory for random lasers , 2000, Physical review letters.

[4]  Xianliang Wu,et al.  The Study of Optical and Electrical Properties of Short-Pitch Plasmonic Solar Cells , 2016, IEEE Photonics Journal.

[5]  Y. Kivshar,et al.  Nonlinear properties of left-handed metamaterials. , 2003, Physical review letters.

[6]  Carretera de Valencia,et al.  The finite element method in electromagnetics , 2000 .

[7]  J. Pendry,et al.  Theory of extraordinary optical transmission through subwavelength hole arrays. , 2000, Physical review letters.

[8]  Jianhui Hou,et al.  High Efficiency Organic Solar Cells Achieved by the Simultaneous Plasmon-Optical and Plasmon-Electrical Effects from Plasmonic Asymmetric Modes of Gold Nanostars. , 2016, Small.

[9]  Xianliang Wu,et al.  3D optimised hybrid implicit–explicit FDTD method with suppressed numerical dispersion , 2018 .

[10]  Roberto Marani,et al.  Gain-assisted extraordinary optical transmission through periodic arrays of subwavelength apertures , 2011 .

[11]  D P Tsai,et al.  Towards the lasing spaser: controlling metamaterial optical response with semiconductor quantum dots. , 2009, Optics express.

[12]  V. Shalaev.  Optical negative-index metamaterials , 2007 .

[13]  李轩华,et al.  Dual Plasmonic Nanostructures for High Performance Inverted Organic Solar Cells , 2012 .

[14]  Dan Jiao,et al.  An explicit and unconditionally stable FDTD method for 3-D electromagnetic analysis , 2013, 2013 IEEE MTT-S International Microwave Symposium Digest (MTT).

[15]  U. Chettiar,et al.  Loss-free and active optical negative-index metamaterials , 2010, Nature.

[16]  Zhixiang Huang,et al.  Quantum electrodynamic modeling of quantum dot luminescence in plasmonic metamaterials , 2015, 2015 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO).

[17]  T. Ebbesen,et al.  Light in tiny holes , 2007, Nature.

[18]  Zhixiang Huang,et al.  Theory of pump-probe experiments of metallic metamaterials coupled to a gain medium. , 2012, Physical review letters.

[19]  Huayong Zhang,et al.  Parallel Implication of 3-D FDTD Method in a Four-Level Atomic System , 2012, IEEE Journal of Quantum Electronics.

[20]  Li Jun Jiang,et al.  A Hybrid Time-Domain Discontinuous Galerkin-Boundary Integral Method for Electromagnetic Scattering Analysis , 2014, IEEE Transactions on Antennas and Propagation.

[21]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[22]  Yijun Feng,et al.  Electromagnetic cloaking by layered structure of homogeneous isotropic materials. , 2007, Optics express.

[23]  H. Ho,et al.  Broadband near-field enhancement in the macro-periodic and micro-random structure with a hybridized excitation of propagating Bloch-plasmonic and localized surface-plasmonic modes. , 2015, Nanoscale.

[24]  David R. Smith,et al.  Metamaterial Electromagnetic Cloak at Microwave Frequencies , 2006, Science.

[25]  P. Lalanne,et al.  Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission , 2012, Nature.

[26]  E. J. Geluk,et al.  Loss compensation of extraordinary optical transmission , 2014 .

[27]  C. Soukoulis,et al.  Repulsive Casimir force in chiral metamaterials. , 2009, Physical review letters.

[28]  FINITE DIFFERENCE TIME DOMAIN MODELING OF LIGHT AMPLIFICATION IN ACTIVE PHOTONIC BAND GAP STRUCTURES - Abstract , 2003 .

[29]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[30]  J. Joannopoulos,et al.  Active materials embedded in photonic crystals and coupled to electromagnetic radiation , 2006 .

[31]  Dan Jiao,et al.  Fast Explicit and Unconditionally Stable FDTD Method for Electromagnetic Analysis , 2017, IEEE Transactions on Microwave Theory and Techniques.

[32]  He Ming Yao,et al.  Transient Heterogeneous Electromagnetic Simulation With DGTD and Behavioral Macromodel , 2017, IEEE Transactions on Electromagnetic Compatibility.

[33]  M. Wegener,et al.  Negative Refractive Index at Optical Wavelengths , 2007, Science.

[34]  Kaikun Niu,et al.  Optimization of the Artificially Anisotropic Parameters in WCS-FDTD Method for Reducing Numerical Dispersion , 2017, IEEE Transactions on Antennas and Propagation.

[35]  Costas M. Soukoulis,et al.  Optical anisotropic metamaterials: Negative refraction and focusing , 2009, 0907.1112.

[36]  P. Lalanne,et al.  Microscopic theory of the extraordinary optical transmission , 2008, Nature.

[37]  U. Leonhardt.  Optical Conformal Mapping , 2006, Science.

[38]  M. Wegener,et al.  Self-consistent calculation of metamaterials with gain , 2009, 0907.0888.

[39]  Costas M. Soukoulis,et al.  Self-consistent calculations of loss-compensated fishnet metamaterials , 2010, 1008.4956.

[40]  H. Lezec,et al.  Extraordinary optical transmission through sub-wavelength hole arrays , 1998, Nature.