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Rigorous electromagnetic analysis of two dimensional micro-axicon by boundary integral equations
Jie Lin1, Jiubin Tan, Jian Liu
1Harbin Institute of Technology, Center of Ultra-Precision Optoelectronic Instrument, Harbin, China. linjie@hit.edu.cn
Optics Express
|February 4, 2009
Summary
This study rigorously analyzes micro-axicons and Fresnel axicons (fraxicons), revealing focal performance insights beyond traditional optical theories. Findings are crucial for optimizing axicons in optical trapping applications.
Area of Science:
- Optics and Photonics
- Electromagnetic Theory
- Computational Physics
Background:
- Micro-axicons and Fresnel axicons (fraxicons) are essential optical components.
- Traditional analysis methods like geometrical optics and scalar diffraction theory have limitations in predicting their performance.
- Understanding precise focal performance is critical for advanced applications.
Purpose of the Study:
- To rigorously investigate the focal performance of micro-axicons and Fresnel axicons (fraxicons) for the first time.
- To compare rigorous results with approximations from geometrical optics and scalar diffraction theory.
- To provide valuable data for the analysis of axicons in optical trapping systems.
Main Methods:
- Utilizing rigorous electromagnetic theory.
- Employing the boundary element method for numerical simulations.
- Investigating micro-axicons with varying apex angles and fraxicons with diverse periods and apex angles.
- Exploring the dark-central core (dark segments) of fraxicons numerically.
Main Results:
- Rigorous focal performance results differ significantly from geometrical optics and scalar diffraction approximations.
- Scattering effects are identified as dominant in fraxicons with small feature sizes.
- Numerical exploration of fraxicon dark segments provides new insights.
Conclusions:
- Rigorous electromagnetic analysis offers a more accurate understanding of micro-axicon and fraxicon focal performance.
- Approximation theories are insufficient for precise prediction, especially for micro-scale devices.
- This research provides critical information for the design and analysis of axicons in optical trapping.
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