Efficient bidirectional marching solver for optical propagation in three-dimensional waveguide structures.

Area of Science:

• Optics and Photonics
• Computational Electromagnetics

Background:

• Analyzing three-dimensional optical waveguides is crucial for designing advanced photonic devices.
• Existing methods may face limitations in computational efficiency and accuracy for complex structures.

Purpose of the Study:

• To develop and implement a novel bidirectional operator marching method for 3D optical waveguide analysis.
• To enhance the accuracy and efficiency of wave propagation simulations in optical waveguides.

Main Methods:

• Developed a bidirectional operator marching method incorporating Dirichlet-to-Neumann (DtN) mapping.
• Integrated backward propagation waves into the classical forward propagation operator marching approach.
• Utilized iterative methods for implementation and analysis of optical waveguide structures.

Main Results:

• The bidirectional range marching formulas provide exact solutions for range-independent segments.
• The method allows for large step sizes in both forward and backward propagation directions.
• Verified the method's validity and effectiveness on uniform and longitudinally varying waveguides.

Conclusions:

• The proposed bidirectional method offers an accurate and efficient approach for simulating 3D optical waveguides.
• This technique is suitable for analyzing complex waveguide geometries, including those with varying refractive indices.
• The method has potential applications in the design and optimization of photonic integrated circuits.