Accurate analysis of electromagnetic scattering from periodic circular cylinder array with defects

Area of Science:

• Electromagnetics
• Computational Physics
• Wave Scattering

Background:

• Electromagnetic scattering from periodic structures is crucial in various applications.
• Analyzing arrays with defects presents significant computational challenges.
• Existing methods like the recursive transition-matrix algorithm (RTMA) have limitations for defective periodic arrays.

Purpose of the Study:

• To develop an accurate and efficient method for analyzing electromagnetic scattering from periodic arrays of circular cylinders with missing elements (defects).
• To extend the recursive transition-matrix algorithm (RTMA) to handle defective periodic structures.
• To propose a novel spectral-domain approach incorporating pseudo-periodic Fourier transform.

Main Methods:

• Formulation based on the recursive transition-matrix algorithm (RTMA).
• Integration of lattice sums technique for periodic structures.
• Introduction of the pseudo-periodic Fourier transform for defect analysis.
• Development of a spectral-domain approach.

Main Results:

• A new formulation for electromagnetic scattering from defective periodic cylinder arrays is presented.
• The proposed method effectively handles arrays with removed cylinders.
• The spectral-domain approach offers an accurate way to analyze such complex structures.

Conclusions:

• The developed spectral-domain approach, enhanced RTMA, and pseudo-periodic Fourier transform provide an effective solution for scattering problems in defective periodic arrays.
• This method advances the analysis of electromagnetic wave interactions with imperfect periodic structures.
• The findings have implications for designing and analyzing optical and electromagnetic devices with engineered defects.