We study light transmission in two-dimensional photonic-crystal waveguides with embedded nonlinear defects. First, we derive effective discrete equations with long-range interaction for describing the waveguide modes and demonstrate that they provide a highly accurate generalization of the familiar tight-binding models that are employed, e.g., for the study of coupled-resonator optical waveguides. Using these equations, we investigate the properties of straight waveguides and waveguide bends with embedded linear and nonlinear defects. We emphasize the role of evanescent modes in the transmission properties of such waveguides and demonstrate the possibility of the nonlinearity-induced bistable (all-optical switcher) and unidirectional (optical diode) transmission. Additionally, we demonstrate adaptability of our approach for investigation of multimode waveguides by the example of the bound states in their constrictions. © 2002 Optical Society of America

© 2002 Optical Society of America

[Optical Society of America ]

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Reflectivity properties of an abruptly ended asymmetrical slab waveguide for the case of transverse magnetic modes (JOSAA)
• Polarization characteristics of optical waveguides with separable symmetric refractive-index profiles (JOSAA)
• Measurement of birefringence in integrated optical waveguides by use of a microwave-modulated optical wave (OL)
• Effective equations for photonic-crystal waveguides and circuits (OL)
• Design of curved waveguides: the matched bend (JOSAA)

Related Conference Papers

• Nonlinear photonic crystals: waveguides, all-optical switching, and solitons
• Compact and wideband optical 90-degree hybrid based on a one-way tapered MMI coupler
• Polarization Dependence of Facet Reflectivity in Rectangular Submicron Waveguides
• Polarization Dependence of Facet Reflectivity in Rectangular Submicron Waveguides
• Silicon mode-(de)multiplexer for a hybrid multiplexing system to achieve ultrahigh capacity photonic networks-on-chip with a single-wavelength-carrier light