Efficient integral equation-based analysis of finite periodic structures in the optical frequency range

Area of Science:

• Nanophotonics and Plasmonics
• Computational Electromagnetics

Background:

• Analyzing the optical response of finite nanoparticle arrays is computationally intensive.
• Existing methods often struggle with the complexity of dense arrays.

Purpose of the Study:

• To introduce and validate an efficient method for analyzing the optical response of dense finite nanoparticle arrays.
• To demonstrate the application of this method to optical collimation in silver nanorod arrays.

Main Methods:

• Employing macro basis functions derived from the array scanning method.
• Analyzing optical collimation in finite arrays of silver nanorods.
• Validating accuracy against the Krylov subspace iterative method.

Main Results:

• The array scanning method with macro basis functions efficiently analyzes optical responses.
• Accurate prediction of electric field distribution with a relative error of approximately -25 dB.
• Significant reduction in the number of unknowns by a factor of 32 compared to traditional methods.

Conclusions:

• The proposed method offers a computationally efficient and accurate approach for analyzing dense finite nanoparticle arrays.
• This technique is particularly effective for studying phenomena like optical collimation.
• The reduction in computational complexity opens possibilities for analyzing larger and more complex nanophotonic structures.