Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion

Near-field to far-field transformation (NFFFT) is a frequently-used method in antenna and radar cross section (RCS) measurements for various applications. For weapon systems, most measurements are captured in the near-field area in an anechoic chamber, considering the security requirements for the d...

Full description

Bibliographic Details
Main Authors: Woobin Kim, Hyeong-Rae Im, Yeong-Hoon Noh, Ic-Pyo Hong, Hyun-Sung Tae, Jeong-Kyu Kim, Jong-Gwan Yook
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/24/7199
_version_ 1797544548826611712
author Woobin Kim
Hyeong-Rae Im
Yeong-Hoon Noh
Ic-Pyo Hong
Hyun-Sung Tae
Jeong-Kyu Kim
Jong-Gwan Yook
author_facet Woobin Kim
Hyeong-Rae Im
Yeong-Hoon Noh
Ic-Pyo Hong
Hyun-Sung Tae
Jeong-Kyu Kim
Jong-Gwan Yook
author_sort Woobin Kim
collection DOAJ
description Near-field to far-field transformation (NFFFT) is a frequently-used method in antenna and radar cross section (RCS) measurements for various applications. For weapon systems, most measurements are captured in the near-field area in an anechoic chamber, considering the security requirements for the design process and high spatial costs of far-field measurements. As the theoretical RCS value is the power ratio of the scattered wave to the incident wave in the far-field region, a scattered wave measured in the near-field region needs to be converted into field values in the far-field region. Therefore, this paper proposes a near-field to far-field transformation algorithm based on spherical wave expansion for application in near-field RCS measurement systems. If the distance and angular coordinates of each measurement point are known, the spherical wave functions in an orthogonal relationship can be calculated. If each weight is assumed to be unknown, a system of linear equations as numerous as the number of samples measured in the near electric field can be generated. In this system of linear equations, each weight value can be calculated using the iterative least squares QR-factorization method. Based on this theory, the validity of the proposed NFFFT is verified for several scatterer types, frequencies and measurement distances.
first_indexed 2024-03-10T14:02:07Z
format Article
id doaj.art-74fd4dda334447d29b490e9e6cf16c59
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-03-10T14:02:07Z
publishDate 2020-12-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-74fd4dda334447d29b490e9e6cf16c592023-11-21T00:59:12ZengMDPI AGSensors1424-82202020-12-012024719910.3390/s20247199Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave ExpansionWoobin Kim0Hyeong-Rae Im1Yeong-Hoon Noh2Ic-Pyo Hong3Hyun-Sung Tae4Jeong-Kyu Kim5Jong-Gwan Yook6Department of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, KoreaDepartment of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, KoreaDepartment of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, KoreaDepartment of Information and Communication Engineering, Kongju National University, Cheonan 31080, KoreaAerospace Technology Research Institute, Agency for Defense and Development (ADD), Seosan, Chungnam 32024, KoreaAerospace Technology Research Institute, Agency for Defense and Development (ADD), Seosan, Chungnam 32024, KoreaDepartment of Electrical and Electronic Engineering, Yonsei University, Seoul 03722, KoreaNear-field to far-field transformation (NFFFT) is a frequently-used method in antenna and radar cross section (RCS) measurements for various applications. For weapon systems, most measurements are captured in the near-field area in an anechoic chamber, considering the security requirements for the design process and high spatial costs of far-field measurements. As the theoretical RCS value is the power ratio of the scattered wave to the incident wave in the far-field region, a scattered wave measured in the near-field region needs to be converted into field values in the far-field region. Therefore, this paper proposes a near-field to far-field transformation algorithm based on spherical wave expansion for application in near-field RCS measurement systems. If the distance and angular coordinates of each measurement point are known, the spherical wave functions in an orthogonal relationship can be calculated. If each weight is assumed to be unknown, a system of linear equations as numerous as the number of samples measured in the near electric field can be generated. In this system of linear equations, each weight value can be calculated using the iterative least squares QR-factorization method. Based on this theory, the validity of the proposed NFFFT is verified for several scatterer types, frequencies and measurement distances.https://www.mdpi.com/1424-8220/20/24/7199radar cross section (RCS) measurementnear-field to far-field transformation (NFFFT)spherical wave expansion (SWE)
spellingShingle Woobin Kim
Hyeong-Rae Im
Yeong-Hoon Noh
Ic-Pyo Hong
Hyun-Sung Tae
Jeong-Kyu Kim
Jong-Gwan Yook
Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
Sensors
radar cross section (RCS) measurement
near-field to far-field transformation (NFFFT)
spherical wave expansion (SWE)
title Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
title_full Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
title_fullStr Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
title_full_unstemmed Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
title_short Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion
title_sort near field to far field rcs prediction on arbitrary scanning surfaces based on spherical wave expansion
topic radar cross section (RCS) measurement
near-field to far-field transformation (NFFFT)
spherical wave expansion (SWE)
url https://www.mdpi.com/1424-8220/20/24/7199
work_keys_str_mv AT woobinkim nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT hyeongraeim nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT yeonghoonnoh nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT icpyohong nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT hyunsungtae nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT jeongkyukim nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion
AT jonggwanyook nearfieldtofarfieldrcspredictiononarbitraryscanningsurfacesbasedonsphericalwaveexpansion