Advertisement

Shape Optimal Conception of Antenna Arrays

  • L. Blanchard
  • J. R Zolésio
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)

Abstract

The synthesis of an array antenna is an inverse problem. The solution of this problem is the optimization of the complex excitation law of the antenna’s radiating elements and the shape of the antenna which provides a specified radiation pattern.

The general character of this method permits to find numerous application in civil and military areas (satellites, telecommunication for earth mobiles, radar antennas, etc ...).

keywords

Shape optimisation array antenna Newton method 

References

  1. [1]
    M. Delfour and J.P. Zolésio “Shape and Geometry” Advances in Design and Control,04, SIAM, 2001Google Scholar
  2. [2]
    Delfour, Michel C. and Zolésio, Jean-Paul “Oriented distance function and its evolution equation for initial sets with thin boundary”. SIAM J. Control Optim. 42 (2004), no. 6, 2286–2304MATHMathSciNetCrossRefGoogle Scholar
  3. [3]
    Delfour, M. C. and Zolésio, J.-P., Shape sensitivity analysis via min max differentiability, SIAM J. Control Optim., 1988, 26,4, 834–862.MATHMathSciNetCrossRefGoogle Scholar
  4. [4]
    J.P. Zolésio “In Optimization of Distributed Parameter structures”, vol.11, (E. Haug and J. Céa eds.), Adv. Study Inst. Ser. E: Appl. Sci., 50, Sijthoff and Nordhoff, Alphen aan den Rijn, 1981: i) The speed method for Shape Optimization, 1089–151. ii) Domain Variational Formulation for Free Boundary Problems, 1152–1194. iii) Semiderivative of reapeted eigenvalues, 1457–1473.Google Scholar
  5. [5]
    M. Cuer and J.P. Zolésio “Control of singular problem via differentiation of a min-max”. Systems Control Lett. 11 (1988), no. 2, 151–158.MATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    Donelli, M., Caorsi, S., De Natale F., Pastorino M. and Massa A. “Linear antenna synthesis with a hybrid genetic algorithm” Progress In Electromagnetics Research, PIER 49, 1–22, 2004CrossRefGoogle Scholar
  7. [7]
    Murino, V., A. Trucco, and C.S. Regazzoni “Synthesis of unequally spaced arrays by simulated annealing” IEEE Trans.Signal Processing, Vol. 44, 119–123, 1996CrossRefGoogle Scholar
  8. [8]
    S. Holm, A. Austeng, K. Iranpour and J. F. Hopperstad, “Sparse sampling in array processing”, chapter 19 “in Sampling theory and practice” (F. Marvasti Ed.) Plenum, New York, 2000.Google Scholar

Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • L. Blanchard
    • 1
  • J. R Zolésio
    • 2
  1. 1.INRIA Sophia-AntipolisFrance
  2. 2.CNRS and INRIA Sophia-AntipolisFrance

Personalised recommendations