PT-Symmetric Talbot Effects

被引:161
作者
Ramezani, Hamidreza [1 ]
Christodoulides, D. N. [2 ]
Kovanis, V. [3 ]
Vitebskiy, I. [3 ]
Kottos, Tsampikos [1 ,4 ]
机构
[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA
[2] Univ Cent Florida, Coll Opt & Photon CREOL, Orlando, FL 32816 USA
[3] USAF, Res Lab, Sensors Directorate, Wright Patterson AFB, OH 45433 USA
[4] MPI Dynam & Self Org, D-37073 Gottingen, Germany
基金
美国国家科学基金会;
关键词
NON-HERMITIAN HAMILTONIANS; GRATINGS; OPTICS;
D O I
10.1103/PhysRevLett.109.033902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that complex PT-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern has to respect specific periodicities dictated by the symmetries of the system. While at the spontaneous PT-symmetry breaking point the image revivals occur at Talbot lengths governed by the characteristics of the passive lattice, at the exact phase it depends on the gain and loss parameter, thus allowing one to control the imaging process.
引用
收藏
页数:5
相关论文
共 36 条
[1]   Making sense of non-Hermitian Hamiltonians [J].
Bender, Carl M. .
REPORTS ON PROGRESS IN PHYSICS, 2007, 70 (06) :947-1018
[2]   Complex extension of quantum mechanics [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
PHYSICAL REVIEW LETTERS, 2002, 89 (27)
[3]   Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].
Bender, CM ;
Boettcher, S .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246
[4]   PT-symmetric quantum mechanics [J].
Bender, CM ;
Boettcher, S ;
Meisinger, PN .
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) :2201-2229
[5]   Exponentially Fragile PT Symmetry in Lattices with Localized Eigenmodes [J].
Bendix, Oliver ;
Fleischmann, Ragnar ;
Kottos, Tsampikos ;
Shapiro, Boris .
PHYSICAL REVIEW LETTERS, 2009, 103 (03)
[6]   NEAR-FIELD IMAGING OF ATOM DIFFRACTION GRATINGS - THE ATOMIC TALBOT EFFECT [J].
CHAPMAN, MS ;
EKSTROM, CR ;
HAMMOND, TD ;
SCHMIEDMAYER, J ;
TANNIAN, BE ;
WEHINGER, S ;
PRITCHARD, DE .
PHYSICAL REVIEW A, 1995, 51 (01) :R14-R17
[7]   PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems [J].
Chong, Y. D. ;
Ge, Li ;
Stone, A. Douglas .
PHYSICAL REVIEW LETTERS, 2011, 106 (09)
[8]   Coherent Perfect Absorbers: Time-Reversed Lasers [J].
Chong, Y. D. ;
Ge, Li ;
Cao, Hui ;
Stone, A. D. .
PHYSICAL REVIEW LETTERS, 2010, 105 (05)
[9]   TALBOT-VONLAU ATOM INTERFEROMETRY WITH COLD SLOW POTASSIUM [J].
CLAUSER, JF ;
LI, SF .
PHYSICAL REVIEW A, 1994, 49 (04) :R2213-R2216
[10]  
Cowley J.M., 1995, Diffraction Physics, V3rd ed.