Modal perspective on the transverse Anderson localization of light in disordered optical lattices

作者: Salman Karbasi , Karl W. Koch , Arash Mafi

DOI: 10.1364/JOSAB.30.001452

关键词: Condensed matter physicsTransverse planeWaveguide (electromagnetism)Anderson localizationOptical latticeOptical fiberPhysicsModal analysisWavelengthQuantum mechanicsLattice (order)

摘要: We present a detailed analysis of the transverse Anderson localization light in one-dimensional disordered optical lattice language transversely localized and longitudinally propagating eigenmodes. The modal allows us to explore behavior waveguide independent properties external excitation. Various localization-related phenomena, such as periodic revival Anderson-localized beam, are easily explained language. characterize strength by average width guided modes carry out function geometrical parameters lattice. also show that order obtain minimum mode width, individual random sites must be larger than wavelength approximately factor two or more, optimum site for maximum depends on design

参考文章(40)
Ramy G. S. El-Dardiry, Sanli Faez, Ad Lagendijk, Snapshots of Anderson localization beyond the ensemble average Physical Review B. ,vol. 86, pp. 125132- ,(2012) , 10.1103/PHYSREVB.86.125132
Yoav Lahini, Assaf Avidan, Francesca Pozzi, Marc Sorel, Roberto Morandotti, Demetrios N. Christodoulides, Yaron Silberberg, Anderson localization and nonlinearity in one-dimensional disordered photonic lattices. Physical Review Letters. ,vol. 100, pp. 013906- 013906 ,(2008) , 10.1103/PHYSREVLETT.100.013906
Tal Schwartz, Guy Bartal, Shmuel Fishman, Mordechai Segev, None, Transport and Anderson localization in disordered two-dimensional photonic lattices Nature. ,vol. 446, pp. 52- 55 ,(2007) , 10.1038/NATURE05623
Z. Dačić Gaeta, C. R. Stroud, Classical and quantum-mechanical dynamics of a quasiclassical state of the hydrogen atom. Physical Review A. ,vol. 42, pp. 6308- 6313 ,(1990) , 10.1103/PHYSREVA.42.6308
I. M. Vellekoop, A. Lagendijk, A. P. Mosk, Exploiting disorder for perfect focusing Nature Photonics. ,vol. 4, pp. 320- 322 ,(2010) , 10.1038/NPHOTON.2010.3
T. A. Lenahan, Calculation of Modes in an Optical Fiber Using the Finite Element Method and EISPACK Bell System Technical Journal. ,vol. 62, pp. 2663- 2694 ,(1983) , 10.1002/J.1538-7305.1983.TB03199.X
Sajeev John, Localization of Light Physics Today. ,vol. 44, pp. 32- 40 ,(1991) , 10.1063/1.881300
Thomas Pertsch, Ulf Peschel, Jens Kobelke, Kay Schuster, Hartmut Bartelt, Stefan Nolte, Andreas Tünnermann, Falk Lederer, Nonlinearity and disorder in fiber arrays. Physical Review Letters. ,vol. 93, pp. 053901- ,(2004) , 10.1103/PHYSREVLETT.93.053901
Anatolii A Karatsuba, Ekatherina A Karatsuba, A resummation formula for collapse and revival in the Jaynes-Cummings model Journal of Physics A. ,vol. 42, pp. 195304- ,(2009) , 10.1088/1751-8113/42/19/195304
Salman Karbasi, Thomas Hawkins, John Ballato, Karl W. Koch, Arash Mafi, Transverse Anderson localization in a disordered glass optical fiber Optical Materials Express. ,vol. 2, pp. 1496- 1503 ,(2012) , 10.1364/OME.2.001496