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Method of images in optical discrete systems
Konstantinos G Makris1, Demetrios N Christodoulides
1College of Optics/CREOL, University of Central Florida, Orlando, FL 32816, USA.
Summary
The method of images effectively analyzes optical wave propagation in discrete boundary systems like waveguide arrays. This technique is applicable to both linear and nonlinear optical phenomena in bounded structures.
Area of Science:
- Optics and Photonics
- Wave Propagation Physics
Background:
- Discrete optical systems, such as waveguide arrays and coupled resonator optical waveguides, present unique challenges for analyzing wave propagation.
- Understanding wave behavior in these bounded geometries is crucial for developing advanced photonic devices.
Purpose of the Study:
- To demonstrate the efficacy of the method of images for analyzing optical wave propagation in discrete boundary geometries.
- To explore the application of this method to both linear and nonlinear optical systems.
Main Methods:
- Application of the method of images to semi-infinite and finite discrete optical systems.
- Detailed analysis of diffraction properties in one- and two-dimensional bounded array structures.
- Numerical investigation of nonlinear semi-infinite lattices using the method of images.
Main Results:
- The method of images provides an effective analytical tool for discrete optical boundary geometries.
- Linear diffraction properties of 1D and 2D bounded arrays were successfully analyzed.
- The method's potential for nonlinear lattice investigations was confirmed.
Conclusions:
- The method of images is a versatile and powerful technique for studying optical wave propagation in various discrete systems.
- This approach facilitates the analysis of complex optical phenomena in bounded photonic structures.
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