Related Experiment Videos
Optical pulse propagation in nonlinear photonic crystals
1Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
Summary
We developed a new method to describe how light pulses travel through nonlinear photonic crystals. This approach reveals how crystal properties modify light behavior, impacting effective material characteristics.
Area of Science:
- * Photonics
- * Nonlinear Optics
- * Condensed Matter Physics
Background:
- * Nonlinear photonic crystals offer unique light manipulation capabilities.
- * Understanding optical pulse propagation is crucial for photonic device design.
- * Existing models may not fully capture complex nonlinear interactions in photonic crystals.
Purpose of the Study:
- * To present a general formalism for optical pulse propagation in nonlinear photonic crystals.
- * To derive the effective nonlinear Schrödinger equation governing pulse envelopes.
- * To investigate how material properties and band structure influence effective coefficients.
Main Methods:
- * Employed a multiple-scale analysis to derive the governing equation.
- * Calculated effective coefficients for Kerr nonlinearity, gain/loss, and dispersion.
- * Utilized photonic crystal bandstructure and material property distribution for calculations.
Main Results:
- * Derived the dynamical nonlinear Schrödinger equation for pulse envelopes.
- * Identified effective coefficients that depend on Bloch function sampling.
- * Demonstrated that wave packets from different bands experience modified material properties.
Conclusions:
- * The developed formalism accurately describes optical pulse propagation in nonlinear photonic crystals.
- * Effective material properties are significantly influenced by the underlying Bloch function and band structure.
- * This work provides a foundation for designing advanced photonic devices with tailored nonlinear responses.