Quantum Optical Sources in Photonic Band Structures. Self-Induced Transparency in Photonic Band Structures: Gap Solitons Near Absorption Resonances.
Abstract
Pulse propagation in a non-uniform resonant medium, e.g., a periodic array of resonant films, can destroy self- induced transparency (SIT) (1), because the pulse area is then split between the forward and backward (reflected) coupled waves, and is no longer conserved (2). Should we then anticipate severely hampered transmission through a medium whose resonance lies in a reflective spectral domain (photonic band gap) of a periodically-layered structure (a Bragg reflector)? We have shown analytically that it is possible for the pulse to overcome the band-gap reflection and produce SIT in a near-resonant medium embedded in a Bragg reflector. The predicted SIT propagation is a principally new type of a gap soliton, which does not obey any of the familiar soliton equations, such as the non-linear Schridinger equation (NLSE) or the sine-Gordon equation. Its spatio-temporal form and intensity dependence are shown here to be distinct from the extensively - studied gap solitons in Kerr-non-linear Bragg reflectors (3), which are described by the NLSE. In treatments of bidirectional field propagation in media with arbitrary spatial distribution of near-resonant atoms (4) the Bloch equations for the population inversion and polarization are entangled in a fashion which leads to an infinite hierarchy of equations for successive spatial harmonics.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1995
- Accession Number
- ADA292187
Entities
People
- Gershon Kurizki
Organizations
- Weizmann Institute of Science