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Optimal focusing of scalar fields subject to arbitrary upper bounds

Optimal focusing of scalar fields subject to arbitrary upper bounds

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The authors present a new approach for determining the excitations of a given set of sources that will produce a maximum field in a given direction subject to arbitrary sidelobe bounds. The approach guarantees attainment of the globally optimal solution for a large class of pencil beam synthesis problems, including possible near field constraints.

Inspec keywords: focusing; electromagnetic waves; electromagnetic field theory

Other keywords: sidelobe bounds; upper bounds; optimal focusing; near field constraints; scalar fields; excitations; globally optimal solution; pencil beam synthesis problems; maximum field

Subjects: Electric and magnetic fields; Electromagnetic waves, antennas and propagation; Electromagnetic waves: theory; Steady-state electromagnetic fields; electromagnetic induction

References

    1. 1)
      • Numerical Algorithms Group (NAG) Fortran Library Manual,Section E04, Oxford, UK.
    2. 2)
      • R. Fletcher . (1987) Practical methods of optimization.
    3. 3)
      • J.H. McClellan , W.T. Parks . A unified approach to the design of optimum FIR linear phasedigital filters. IEEE Trans. Circuit Theory , 697 - 701
    4. 4)
      • R.L. Haupt . An introduction to genetic algorithms for electromagnetics. IEEE Antennas Propag. Mag. , 2 , 7 - 15
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