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Inverse diffraction grating of Maxwell's equations in biperiodic structures.
Optics Express
|March 26, 2014
Summary
This study introduces a new method to reconstruct biperiodic surfaces with subwavelength resolution using a single incident field. The technique enables surface reconstruction beyond Rayleigh
Area of Science:
- Electromagnetics and Optics
- Computational Physics
- Surface Metrology
Background:
- Diffraction gratings are crucial optical components, but their precise characterization, especially for biperiodic surfaces, presents challenges.
- Traditional methods often struggle with subwavelength resolution and require complex setups.
- Understanding near-field interactions is key to advanced surface reconstruction.
Purpose of the Study:
- To develop a novel, efficient method for solving the inverse diffraction grating problem.
- To achieve surface reconstruction with resolution beyond Rayleigh's criterion for biperiodic surfaces.
- To enable high-resolution surface profiling using minimal incident field parameters.
Main Methods:
- Modeling diffraction as a boundary value problem for the three-dimensional Maxwell equation.
- Developing a novel approach for the inverse problem in the near-field regime.
- Utilizing the fast Fourier transform (FFT) for efficient computation.
Main Results:
- Successfully reconstructed biperiodic surfaces with resolution surpassing Rayleigh's criterion.
- Demonstrated the method's effectiveness using a single incident field (one polarization, frequency, and direction).
- Numerical results confirm the method's simplicity, efficiency, and stability.
Conclusions:
- The proposed method offers a significant advancement in characterizing biperiodic surfaces.
- Subwavelength resolution is achievable with a simplified experimental setup.
- This technique holds promise for applications requiring precise surface metrology.
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