Skip to main content
Top

2019 | OriginalPaper | Chapter

Radar Cross Section Gradient Calculation Based on Adjoint Equation of Method of Moment

Authors : Lin Zhou, Jiangtao Huang, Zhenghong Gao

Published in: The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018)

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A radar cross section gradient calculation method based on adjoint equation of method of moment (MoM) is proposed. The adjoint equation of method of moment as well as the variation of radar cross section is derived. Backscattering RCS of cylinder and missile model are firstly calculated and compared with measured data or FEKO MoM result to verify the reliability of the program adopted. Then, the cylinder and missile are parameterized and disturbed with domain element method. The gradient of design variables are computed with both adjoint method and finite-difference method. Numerical results of both methods are in good agreement proving that adjoint method has high reliability and precision. RCS gradient calculation based on adjoint equation has high efficiency, accuracy and can be applied in the calculation of complex geometry. It forms the basis of the gradient-based aerodynamic-stealth optimization platform.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Aronstein DC (1996) The development and application of aircraft radar cross section prediction methodology. World Aviation Congress & Exposition, pp 1361–1374 Aronstein DC (1996) The development and application of aircraft radar cross section prediction methodology. World Aviation Congress & Exposition, pp 1361–1374
2.
go back to reference Knott EF (1985) A progression of high-frequency RCS prediction techniques. Proc IEEE 73(2):252–264CrossRef Knott EF (1985) A progression of high-frequency RCS prediction techniques. Proc IEEE 73(2):252–264CrossRef
3.
go back to reference Knott EF, Shaeffer JF, Tuley MT (2004) Radar Cross Section, IET Digital Library Knott EF, Shaeffer JF, Tuley MT (2004) Radar Cross Section, IET Digital Library
4.
go back to reference Ruan YZ (1998) Radar Cross Section and Stealth Technology. National Defense Industry Press, Beijing (in Chinese) Ruan YZ (1998) Radar Cross Section and Stealth Technology. National Defense Industry Press, Beijing (in Chinese)
5.
go back to reference Gao ZH, Wang ML (2008) An efficient algorithm for calculating aircraft RCS based on the geometrical characteristics. Chin J Aeronaut 21(4):296–303CrossRef Gao ZH, Wang ML (2008) An efficient algorithm for calculating aircraft RCS based on the geometrical characteristics. Chin J Aeronaut 21(4):296–303CrossRef
6.
go back to reference Li J, Liu ZH, Wang Y (2012) Research on the applicability of the approach for calculating the RCS of aircraft target, vol 1, pp 38–42 (in Chinese) Li J, Liu ZH, Wang Y (2012) Research on the applicability of the approach for calculating the RCS of aircraft target, vol 1, pp 38–42 (in Chinese)
7.
go back to reference Harrington RF, Harrington JL (1968) Field Computation by Moment Methods. Macmillan Harrington RF, Harrington JL (1968) Field Computation by Moment Methods. Macmillan
8.
go back to reference He KF, Qian WQ, Liu G (2006) Aircraft multi-objective design of aerodynamic and stealthy performance. Acta Aerodynamica Sinica 24(2):169–174 He KF, Qian WQ, Liu G (2006) Aircraft multi-objective design of aerodynamic and stealthy performance. Acta Aerodynamica Sinica 24(2):169–174
9.
go back to reference Zheng CY, Huang JT, Zhou Z, Liu G, Gao ZH, Xu Y (2017) Multidisciplinary optimization design of high dimensional target space for flying wing airfoil. Acta Aerodynamica Sinica 35(4):587–597 (in Chinese) Zheng CY, Huang JT, Zhou Z, Liu G, Gao ZH, Xu Y (2017) Multidisciplinary optimization design of high dimensional target space for flying wing airfoil. Acta Aerodynamica Sinica 35(4):587–597 (in Chinese)
10.
go back to reference Zhu JL (2011) Stealth research of armed helicopter based on RCS numerical calculation and optimization. Nanjing University of Aeronautics and Astronautics (in Chinese) Zhu JL (2011) Stealth research of armed helicopter based on RCS numerical calculation and optimization. Nanjing University of Aeronautics and Astronautics (in Chinese)
11.
go back to reference Wang R, Yan M, Bai P (2017) Optimization design of aerodynamics and stealth for a flying-wing UAV platform, vol 38, No 1, pp 77–84 (in Chinese) Wang R, Yan M, Bai P (2017) Optimization design of aerodynamics and stealth for a flying-wing UAV platform, vol 38, No 1, pp 77–84 (in Chinese)
12.
go back to reference Zingg DW, Nemec M, Pulliam TH (2008) A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization. Européenne De Mécanique Numérique, Finis, vol. 17, No. 1–2, pp 103–126CrossRef Zingg DW, Nemec M, Pulliam TH (2008) A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization. Européenne De Mécanique Numérique, Finis, vol. 17, No. 1–2, pp 103–126CrossRef
13.
go back to reference Jameson A (2004) Efficient aerodynamic shape optimization. In: 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, pp 2004–4369 Jameson A (2004) Efficient aerodynamic shape optimization. In: 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, pp 2004–4369
14.
go back to reference Kenway GKW, Martins JRRA (2014) Multi-point high-fidelity aero structural optimization of a transport aircraft configuration. J Aircr 51(1):144–160CrossRef Kenway GKW, Martins JRRA (2014) Multi-point high-fidelity aero structural optimization of a transport aircraft configuration. J Aircr 51(1):144–160CrossRef
15.
go back to reference Georgieva NK, Glavic S, Bakr MH, Bandler JW (2002) Feasible adjoint sensitivity technique for EM design optimization. IEEE Trans Microw Theory Tech 50(12):2751–2758CrossRef Georgieva NK, Glavic S, Bakr MH, Bandler JW (2002) Feasible adjoint sensitivity technique for EM design optimization. IEEE Trans Microw Theory Tech 50(12):2751–2758CrossRef
16.
go back to reference Nikolova NK, Safian R, Soliman EA, Bakr MH, Bandler JW (2004) Accelerated gradient based optimization using adjoint sensitivities. IEEE Trans Antennas Propag 52(8):2147–2157CrossRef Nikolova NK, Safian R, Soliman EA, Bakr MH, Bandler JW (2004) Accelerated gradient based optimization using adjoint sensitivities. IEEE Trans Antennas Propag 52(8):2147–2157CrossRef
17.
go back to reference Rao SM, Wilton DR, Glisson AW (1982) Electromagnetic scattering by surfaces of arbitrary shape. IEEE Trans Antennas Propag 30(3):409–418CrossRef Rao SM, Wilton DR, Glisson AW (1982) Electromagnetic scattering by surfaces of arbitrary shape. IEEE Trans Antennas Propag 30(3):409–418CrossRef
18.
go back to reference Zhang Y (2006) Parallel Computation in Electromagnetics. Xidian University Press, Xi’an (in Chinese) Zhang Y (2006) Parallel Computation in Electromagnetics. Xidian University Press, Xi’an (in Chinese)
19.
go back to reference Jin JM (1998) Finite Element Method in Electromagnetic Field, Xidian University Press (in Chinese) Jin JM (1998) Finite Element Method in Electromagnetic Field, Xidian University Press (in Chinese)
20.
go back to reference Ma J (2009) The application of the method of moment and its parallel computation in EM-scattering from the rough surface and the target. Xidian University (in Chinese) Ma J (2009) The application of the method of moment and its parallel computation in EM-scattering from the rough surface and the target. Xidian University (in Chinese)
21.
go back to reference Guo XL, Wanf AQ, Han XB (2009) Investigation on electromagnetic scattering from complex target with parallel method of moments based on MPI of PC clusters. Aero Weaponry 5:20–25 (in Chinese) Guo XL, Wanf AQ, Han XB (2009) Investigation on electromagnetic scattering from complex target with parallel method of moments based on MPI of PC clusters. Aero Weaponry 5:20–25 (in Chinese)
22.
go back to reference Morris AM, Allen CB, Rendall TCS (2009) Domain-element method for aerodynamic shape optimization applied to modern transport wing. AIAA J 47(7):1647–1659CrossRef Morris AM, Allen CB, Rendall TCS (2009) Domain-element method for aerodynamic shape optimization applied to modern transport wing. AIAA J 47(7):1647–1659CrossRef
23.
go back to reference Wendland H (2005) Scattered Data Approximation. Cambridge University Press, Cambridge University Press Wendland H (2005) Scattered Data Approximation. Cambridge University Press, Cambridge University Press
Metadata
Title
Radar Cross Section Gradient Calculation Based on Adjoint Equation of Method of Moment
Authors
Lin Zhou
Jiangtao Huang
Zhenghong Gao
Copyright Year
2019
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-13-3305-7_113

Premium Partner