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This study introduces a novel semianalytical method for analyzing photonic structures with varying shapes. It significantly reduces computational cost for complex designs like tapers, improving efficiency in optical simulations.

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Area of Science:

  • Photonics and Optical Engineering
  • Computational Electromagnetics
  • Materials Science

Background:

  • Semianalytical methods like rigorous coupled wave analysis (RCWA) are efficient for photonic structures with constant cross-sections.
  • Existing methods face high computational costs when analyzing structures with varying cross-sections, such as tapers.

Purpose of the Study:

  • To develop a more computationally efficient semianalytical method for photonic structures with arbitrary cross-sectional variations.
  • To improve the accuracy and speed of numerical analysis for complex optical designs.

Main Methods:

  • Developed a high-order perturbative expansion based on the structure's cross-sectional variation.
  • Proposed a new semianalytical method derived from this expansion.
  • Designed an adaptive discretization algorithm for user-specified accuracy and reduced computational cost.

Main Results:

  • The new semianalytical method demonstrates fast computation even for large cross-sectional variations.
  • The method offers a significant improvement over existing techniques for non-uniform photonic structures.
  • The adaptive algorithm effectively balances accuracy and computational efficiency.

Conclusions:

  • The proposed high-order perturbative method offers a computationally efficient alternative for analyzing photonic structures with varying cross-sections.
  • This advancement enables faster and more accurate simulations of complex optical devices.
  • The adaptive discretization strategy enhances the practical applicability of semianalytical techniques.