Radar Cross Section Estimation via Near-Field Diffraction

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Solution Overview

Problem

Current methods for determining radar equivalent surface (SER) are limited, especially in the far-field hypothesis not being verified, leading to erroneous results at low frequencies or when antennas are close to the target, and struggle with complex target shapes and low-frequency regimes.

Innovation Solution

A method that estimates SER by combining far-field and near-field diffraction models, using modal decomposition and projection techniques to reconstruct complex amplitude ratios, allowing for accurate SER determination regardless of the far-field hypothesis, through the use of matrices and pseudo-inverse matrices to minimize noise and improve signal-to-noise ratio.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If far-field diffraction model is used for SER estimation, then the method is simple to implement, but the results become erroneous when far-field hypothesis is not verified (low frequencies or close antenna-target configuration)

Engineering Contradiction:
ImproveEase of implementationVSAvoidSER estimation accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent changes the fundamental parameter of the diffraction model from far-field assumption to near-field formulation. By developing a near-field diffraction model that accounts for spherical wave propagation instead of plane wave approximation, the method remains mathematically tractable while accurately representing the electromagnetic field when antennas are close to the target or at low frequencies.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces a dynamic adaptation mechanism that selects between far-field and near-field models based on the verification of the far-field hypothesis. The system evaluates whether the condition d > 2D²/λ is satisfied and automatically switches the appropriate diffraction model, making the method adaptable to different operating conditions while maintaining both simplicity and accuracy.

Inventive Principle:
Principle #15Dynamics

2Adaptability or versatility

If bright point method is used for RCS estimation, then the method can handle complex target shapes, but it becomes excessively difficult to implement and is not applicable in low frequency regime

Engineering Contradiction:
ImproveApplicability to complex target shapesVSAvoidImplementation complexity
Core Design Contradiction:
Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The patent replaces the complex geometric decomposition approach of the bright point method with an analytical near-field diffraction model based on electromagnetic theory. Instead of breaking down the target into discrete bright points and summing their contributions, the method uses a continuous diffraction integral formulation that naturally handles complex geometries through modal decomposition, significantly reducing implementation complexity while maintaining accuracy across all frequency regimes.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

3Ease of operation

If conventional SER measurement is performed in anechoic room with single antenna, then the measurement process is simple, but only summary two-dimensional representation of target is obtained and three-dimensional SER is very rare or impossible

Engineering Contradiction:
ImproveMeasurement process simplicityVSAvoidThree-dimensional SER information
Core Design Contradiction:
Ease of operationVSLoss of information

Solution Approach 1:

The patent transitions from two-dimensional equatorial plane measurements to three-dimensional SER reconstruction by incorporating measurements at multiple elevation angles. The near-field diffraction model processes data collected over a spherical or hemispherical measurement manifold, enabling full 3D characterization of the target's radar cross-section by adding the elevation dimension to the traditional azimuth-only measurements.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

4Ease of manufacture

If conventional SER measurement is performed, then the measurement setup is straightforward, but measurements are affected by noise from various sources and this problem is aggravated in low-frequency regime where effectiveness of absorbents is less

Engineering Contradiction:
ImproveMeasurement setup simplicityVSAvoidMeasurement reliability
Core Design Contradiction:
Ease of manufactureVSReliability

Solution Approach 1:

The patent introduces an intermediary processing stage that uses near-field diffraction modeling and modal decomposition to separate the target signal from noise and interfering echoes. By projecting the measured data onto the theoretical near-field diffraction modes, the method enhances the signal-to-noise ratio and reliably extracts the target's SER even in the presence of measurement noise and when absorbent effectiveness is reduced at low frequencies.

Inventive Principle:
Principle #24Intermediary (Mediator)

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

This approach enables accurate determination of SER across various frequency regimes and antenna configurations, improving precision and reducing noise interference, thereby providing a comprehensive and reliable estimation of radar cross-sections.

Implementation Method 1

The patent deals with diffraction patterns of a target, using far-field diffraction model and near-field diffraction model to estimate radar equivalent surface through modal decomposition and projection techniques

Methodology Applied
Scientific EffectDiffraction: Diffraction

Data Source

PatentEP2721430B1Method of estimating equivalent radar cross section on the basis of near-field measurements
Publication Date: 2015.08.05 COMMISSARIAT A LENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
  • EP2721430B1 patent drawingFigure 1
  • EP2721430B1 patent drawingFigure 2
  • EP2721430B1 patent drawingFigure 3

AI summary

The present invention relates to a method of estimating equivalent radar cross section (RCS) of an object with the aid of near-field measurements, the method using a model of far-field diffraction of the object and a model of near-field diffraction. These models make it possible to determine respectively bases suited to said object for far field and for near field. The vector of measurements is firstly projected onto the basis suitable for near field and the components obtained are transformed into components on the far-field basis. The vector obtained is then reduced to the RCS analysis basis to provide a reconstructed vector. The components of the reconstructed vector are then used for the calculation of the RCS. The invention also relates to a computer program for implementing said method of estimation.