Title :
Distortionless pulse-train propagation in a nonlinear photonic bandgap structure doped uniformly with inhomogeneously broadening two-level atoms
Author :
Tseng, Hong-Yih ; Chi, Sien
Author_Institution :
Inst. of Electro-Opt. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Abstract :
The pulse propagation in a one-dimensional nonlinear photonic bandgap (PBG) structure doped uniformly with inhomogeneously broadening two-level atoms is investigated. The Maxwell-Bloch equations describing pulse propagation in such a uniformly doped PBG structure are derived first and further reduced to effective nonlinear coupled-mode equations. An exact analytic pulse-train solution to these effective coupled-mode equations is obtained. Such a distortionless; pulse-train solution is given by sinusoidal functions with a DC background and a modulated phase. Numerical examples of the distortionless pulse train in a silica-based PBG structure doped uniformly with Lorentzian lineshape two-level atoms are shown
Keywords :
Bragg gratings; Maxwell equations; coupled mode analysis; optical Kerr effect; optical waveguide theory; photonic band gap; self-induced transparency; spectral line breadth; 1D nonlinear photonic bandgap structure; DC background; Lorentzian lineshape two-level atoms; Maxwell-Bloch equations; distortionless pulse train; distortionless pulse-train propagation; distortionless pulse-train solution; effective coupled-mode equations; exact analytic pulse-train solution; inhomogeneously broadening two-level atoms; modulated phase; nonlinear coupled-mode equations; one-dimensional nonlinear photonic bandgap structure; silica-based PBG structure; sinusoidal functions; uniformly doped PBG structure; Electromagnetic propagation; Maxwell equations; Nonlinear distortion; Nonlinear equations; Optical propagation; Optical pulses; Phase modulation; Photonic band gap; Pulse modulation; Resonance;
Journal_Title :
Selected Topics in Quantum Electronics, IEEE Journal of
DOI :
10.1109/JSTQE.2002.1016373
