Why Do Field-Based Methods Fail to Model Plasmonics?

作者: Afaf MA Said , Ahmed M Heikal , Nihal FF Areed , Salah SA Obayya , None

DOI: 10.1109/JPHOT.2016.2600367

关键词:

摘要: The paper studies plasmonics modeling issues and examines the reasons behind failure of field-based methods relying on Pade approximations widely used in analysis photonic devices based dielectric materials. Through a study evanescent, radiation, guided, surface modes plasmonic structure where appears clearly, we demonstrate physical explanation this suggest some remedies. We developed Bidirectional Beam Propagation Method (BiBPM) by adopting Blocked Schur (BS) algorithm to introduce an unconditionally stable method for structures with strong discontinuities. Central BiBPMs is accurate calculation square root operators that very performed using approximations. However, recent reports convergence too slow lend itself solver [1] . Moreover, completely fail handling such discontinuity between waveguides, very-wide spectrum could be excited. Alternatively, propose calculating these twice faster BS algorithm. Beyond computational speed, our suggested approach overbears Pade-based instability accuracy problems, thanks proper treatment evanescent waves: notorious sources instability. superiority has been determined numerically explained physically.

参考文章(24)
Nicholas J. Higham, Functions of Matrices Philadelphia, PA, USA: Society for Industrial and Applied Mathematics; 2008.. ,(2008) , 10.1137/1.9780898717778
Fausto A. Milinazzo, Cedric A. Zala, Gary H. Brooke, Rational square-root approximations for parabolic equation algorithms Journal of the Acoustical Society of America. ,vol. 101, pp. 760- 766 ,(1997) , 10.1121/1.418038
S.S.A. Obayya, B.M.A. Rahman, K.T.V. Grattan, H.A. El-Mikati, Characterisation of low-loss waveguide bends with offset-optimisation for compact photonic integrated circuits IEE Proceedings - Optoelectronics. ,vol. 147, pp. 382- 388 ,(2000) , 10.1049/IP-OPT:20000814
Georgios Veronis, Şükrü Ekin Kocabaş, David A. B. Miller, Shanhui Fan, Modeling of Plasmonic Waveguide Components and Networks Journal of Computational and Theoretical Nanoscience. ,vol. 6, pp. 1808- 1826 ,(2009) , 10.1166/JCTN.2009.1244
Hua Zhang, Jianwei Mu, Wei-Ping Huang, Analysis of Bragg gratings for long-range surface plasmon polaritons using the bidirectional beam propagation method based on scattering operators Plasmonics: Metallic Nanostructures and Their Optical Properties V. ,vol. 6641, ,(2007) , 10.1117/12.733344
Jinbiao Xiao, Shengbao Wu, Xiaohan Sun, A Stable and Accurate Preconditioner for Bidirectional Beam Propagation Method IEEE Journal of Quantum Electronics. ,vol. 51, pp. 1- 7 ,(2015) , 10.1109/JQE.2015.2406663
Dmitri K. Gramotnev, Sergey I. Bozhevolnyi, Plasmonics beyond the diffraction limit Nature Photonics. ,vol. 4, pp. 83- 91 ,(2010) , 10.1038/NPHOTON.2009.282
Afaf MA Said, SSA Obayya, None, Efficient analysis of electron waveguides with multiple discontinuities Optical and Quantum Electronics. ,vol. 47, pp. 1333- 1338 ,(2015) , 10.1007/S11082-014-0055-4
Sergey I. Bozhevolnyi, Alexandra Boltasseva, Thomas Søndergaard, Thomas Nikolajsen, Kristjan Leosson, Photonic bandgap structures for long-range surface plasmon polaritons Optics Communications. ,vol. 250, pp. 328- 333 ,(2005) , 10.1016/J.OPTCOM.2005.02.027