Antenna Array Admittance Modeling for High-Order Mutual Coupling
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Solution Overview
Problem
Existing methods for analyzing antenna arrays using the infinitesimal dipole model primarily consider primary electromagnetic effects, neglecting high-order mutual coupling effects, which limits calculation accuracy in complex array environments.
Innovation Solution
An analytic method that calculates high-order mutual coupling effects between radiating elements in an antenna array, characterized by constructing mathematical relations and using Neumann series expansion to derive self- and mutual admittance parameters, accounting for multiple scattering effects.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If only primary electromagnetic effect is considered in infinitesimal dipole model, then calculation simplicity is maintained, but calculation accuracy of admittance parameters is limited
Solution Approach 1:
The patent segments the mutual coupling effect into multiple orders (first-order, second-order, third-order, etc.), where each order represents a different level of scattering interaction between radiating elements. This segmentation allows systematic inclusion of high-order effects while maintaining a structured analytical framework, resolving the contradiction by enabling accurate multi-order analysis without complete recalculation from scratch.
Solution Approach 2:
The patent establishes preliminary mathematical relations and recursive formulas for calculating high-order mutual admittance parameters based on lower-order results. By pre-defining the computational framework and recurrence relationships, the method enables efficient calculation of high-order effects without requiring complete re-analysis, thus improving accuracy while controlling complexity.
2Measurement precision
If high-order mutual coupling effect is considered, then calculation accuracy of radiation field is improved, but computational complexity increases
Solution Approach 1:
The patent pre-establishes recursive formulas and mathematical relations that allow high-order mutual admittance parameters to be calculated systematically from lower-order results. This preliminary framework enables efficient computation by avoiding complete recalculation, thus reducing computational time while maintaining high accuracy in radiation field analysis.
Solution Approach 2:
The patent uses the infinitesimal dipole model as a simplified copy representation of actual radiating elements, allowing complex high-order coupling effects to be analyzed through this equivalent model. This copying approach enables accurate high-order analysis without requiring computationally intensive full-wave simulations, thus reducing computational time while improving accuracy.
3Adaptability or versatility
If multiple scattering effects are neglected, then analysis simplicity is maintained, but comprehensive design capability is limited
Solution Approach 1:
The patent segments the electromagnetic interaction into distinct scattering orders, allowing designers to selectively include appropriate levels of complexity based on design requirements. This segmentation provides adaptability by enabling comprehensive analysis when needed while allowing simplified analysis for less critical designs, thus improving versatile design capability without mandating maximum complexity.
Solution Approach 2:
The patent introduces adjustable parameters (such as the order of mutual coupling to be considered) that allow the analysis complexity to be tailored to specific design needs. By changing the parameter of how many scattering orders to include, the method adapts to different design scenarios, providing comprehensive capability when high accuracy is needed while maintaining simplicity for routine designs.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Improves the calculation accuracy of antenna array radiation fields by considering high-order mutual coupling, aligning with methods like the method of moments for single-mode antennas and enhancing analysis precision in multi-mode scenarios.
Implementation Method 1
an electromagnetic source (Jn, Mn) denotes a source distribution of the radiating element n in a free space; and an electromagnetic field (Enm, Hnm) denotes an electromagnetic field distribution produced by the radiating element m around the radiating element n
Implementation Method 2
In the actual array environment, the radiating elements are often under the action of multiple electromagnetic scatterings
Data Source
AI summary
The present invention discloses an analytic method of high-order mutual coupling effect of an antenna array based on infinitesimal dipole model, which comprises the following specific steps: step 1, calculating a mutual admittance between radiating elements, and constructing a mathematical relation of first-order and high-order mutual coupling effects; and step 2, establishing an admittance expression considering high-order mutual coupling effect of an N-element array. The method further improves a calculation accuracy of an antenna array radiation field by considering high-order mutual coupling effect between radiating elements.