Antenna Array Performance Assessment via Impedance Matrices
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Solution Overview
Problem
Computational electromagnetics (CEM) simulations for periodic structures, such as antenna arrays, require significant computational power and complexity, especially when using periodic Green's functions, which can be inefficient and inaccurate.
Innovation Solution
The method involves generating a model of an arbitrarily large antenna array with a unit cell, computing impedance matrices Zantenna and Zperiodic using the method of moments technique for the electric field integral equation, and applying Rao-Wilton-Glisson basis functions to approximate surface current distributions, allowing for faster and more accurate performance evaluation of finite and infinite antenna arrays.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If periodic Green's functions are used to solve CEM problems for periodic structures, then the analysis capability for arbitrarily large arrays is achieved, but computational complexity and required power increase significantly
Solution Approach 1:
The patent segments the arbitrarily large array into a finite number of antenna elements that can be modeled efficiently. By representing the infinite array through a finite model with periodic boundary conditions, the computational domain is segmented into manageable portions while retaining the ability to analyze large-scale periodic structures.
Solution Approach 2:
The patent changes the modeling parameters by using impedance matrices (Zantenna and Zperiodic) to characterize the array behavior. This parameter transformation allows the system to capture periodic structure effects without requiring full periodic Green's function computations for all elements, thereby reducing computational complexity while maintaining analysis capability.
2Adaptability or versatility
If periodic Green's functions are used to solve CEM problems for periodic structures, then the analysis capability for arbitrarily large arrays is achieved, but computational power requirements increase significantly
Solution Approach 1:
The patent segments the computation into separate impedance matrix calculations (Zantenna for individual elements and Zperiodic for periodic interactions) that can be performed independently and efficiently. This segmentation reduces the overall computational power requirement compared to direct periodic Green's function evaluation for all array elements.
Solution Approach 2:
By transforming the problem into impedance matrix computations with periodic boundary conditions, the patent changes the computational parameters from full-field periodic Green's function evaluations to more efficient matrix operations, thereby reducing computational power requirements while preserving analysis capability.
3Productivity
If Ewald's transformations are employed to accelerate computation of the Green's function, then computation speed is improved, but implementation complexity increases to a high degree
Solution Approach 1:
The patent extracts the periodic interaction effects into a separate impedance matrix (Zperiodic) that is computed once and then reused for analyzing different array configurations. This extraction approach accelerates computation by avoiding repeated full Green's function evaluations while keeping implementation simpler than Ewald's transformations.
Solution Approach 2:
The patent changes the computational approach from direct Green's function evaluation with Ewald's transformations to impedance matrix-based periodic boundary condition enforcement. This parameter change achieves computation speed improvement through efficient matrix operations while avoiding the high implementation complexity of Ewald's transformations.
4Measurement precision
If traditional MoM approach with periodic Green's functions is used, then accurate current distribution is obtained, but computation time increases significantly
Solution Approach 1:
The patent segments the computation into efficient impedance matrix calculations that accurately capture current distribution on individual elements and their periodic interactions. This segmentation maintains accuracy by properly modeling element-level current distributions while reducing overall computation time through the finite model approach with periodic boundary conditions.
Solution Approach 2:
By changing to impedance matrix parameters (Zantenna and Zperiodic) that encode periodic interaction effects, the patent achieves accurate current distribution computation faster than traditional periodic Green's function methods. The parameter transformation allows accurate results to be obtained through more efficient computational operations.
Data Source
AI summary
Methods and systems are presented for evaluating performance of a finite or infinite antenna array including a finite number of antennas. Typically, a model is generated for the antenna array, the model including an arbitrarily large antenna array with an arbitrarily large number of model antennas. Each model antenna has features defined by features of antennas of the finite or infinite antenna array. A unit cell is determined for the arbitrarily large antenna, and impedance matrices Z.sub.antenna and Z.sub.periodic are computed, Z.sub.periodic representing interactions among the unit cell and the other model antennas. From these matrices, the performance of the finite or infinite antenna array is assessed.