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Simulation study of localization of electromagnetic waves in two-dimensional random dipolar systems
1Wave Phenomena Laboratory, Department of Physics, National Central University, Chungli 32054, Taiwan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
Summary
Spatially localized electromagnetic waves emerge in disordered systems of dipolar cylinders. This study details wave propagation, scattering, and localization phenomena, revealing key dependencies on frequency and system parameters.
Area of Science:
- Electromagnetism
- Wave Propagation
- Condensed Matter Physics
Background:
- Understanding wave propagation in disordered media is crucial for various applications.
- Multiple scattering effects significantly influence wave behavior in complex systems.
- Previous research has explored wave localization in different disordered scenarios.
Purpose of the Study:
- To investigate the propagation and scattering of electromagnetic waves in random arrays of dipolar cylinders.
- To derive and solve self-consistent equations for electromagnetic fields, including all orders of multiple scattering.
- To analyze the conditions and characteristics of spatially localized electromagnetic waves.
Main Methods:
- Derivation of self-consistent equations from first principles.
- Numerical solution of these equations to obtain electromagnetic fields.
- Analysis of wave behavior, including total, coherent, and diffusive components.
Main Results:
- Demonstration of spatially localized electromagnetic waves in disordered dipolar cylinder arrays.
- Identification of dependencies of wave localization on frequency, radiation damping, and filling factor.
- Exploration of the spatial behavior of different wave components, confirming physical intuition.
Conclusions:
- Disordered systems of dipolar cylinders can exhibit spatially localized electromagnetic waves.
- A phase diagram characterizing localization was developed and aligns with prior findings.
- The study provides a comprehensive understanding of wave localization in this specific disordered system.
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