Narrow-Bandpass One-Step Leapfrog Hybrid Implicit-Explicit Algorithm with Convolutional Boundary Condition for Its...

Area of Science:

• Electromagnetics and Computational Physics
• Numerical Methods for Engineering Simulations

Background:

• Many sensors operate under narrow bandpass conditions, with some capturing details in only one or two dimensions.
• Efficient simulation of such devices is crucial for their development and application.

Purpose of the Study:

• To propose an efficient numerical algorithm for simulating narrow bandpass sensors and devices.
• To enhance simulation accuracy and performance using advanced techniques.

Main Methods:

• Implementation of a one-step leapfrog hybrid implicit-explicit (HIE) algorithm.
• Integration of the complex envelope (CE) method for narrow bandpass scenarios.
• Application of higher-order convolutional perfectly matched layer (CPML) formulation for absorbing boundary conditions.

Main Results:

• The proposed HIE algorithm with CE and CPML demonstrates high accuracy, validated by numerical examples and experiments.
• The algorithm breaks the traditional Courant-Friedrichs-Levy condition, allowing for rational mesh size selection.
• Significant reductions in simulation duration and memory consumption were observed compared to existing methods.
• The higher-order CPML formulation effectively improved absorption performance throughout the simulation.

Conclusions:

• The developed HIE algorithm provides an efficient and accurate simulation method for narrow bandpass devices.
• The algorithm's ability to bypass the CFL condition and its memory/time efficiencies make it suitable for complex simulations.
• The enhanced CPML formulation contributes to superior absorbing boundary performance, crucial for accurate results.