Abstract
In earlier work, we have given constructive methods to compute the surface currents on a conformal antenna which is required to radiate a maximal amount of energy into a predetermined sector of the far field. More recently, the authors have used asymptotic methods to compute approximate optimal surface currents in the time harmonic two-dimensional electromagnetic case (the Helmholtz equation with impedance boundary condition), for the case of high frequency.
In the present work, we extend these asymptotic results to the full three-dimensional time-harmonic electromagnetic case. We obtain a representation of the suboptimal current which explicitly shows the dependence on the total curvature, k x of the radiating structure at each point x.
Effort sponsored by the Air Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant number F9620-96-1-0039. The U.S. Governnment is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation thereon.
Effort partially supported by funds from the University of North Carolina, Charlotte.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T.S. Angell, A. Kirsch, and R.E. Kleinman, Antenna control and optimization, Proc. IEEE, 79: 1559–1568, (1991).
T. S. Angell and R. E. Kleinman, Generalized exterior boundary value problems and optimization for the Helmholtz equation, J. Optimization Theory Appl., 37: 469–497, (1982).
T.S. Angell and R. E. Kleinman, A new optimization mentod for antenna design, Ann. des Telecommunications, 40: 341–349, (1985).
T.S. Angell, R. E. Kleinman and B. Vainberg, Asymptotic methods for an optimal antenna problem, submitted to SIAM J. Appl. Math.
T.S. Angell, R. E. Kleinman and B. Vainberg, to appear.
A. Calderón, Multipole expansion of radiation fields, J. Rat. Mech. Anal., 3: 523–537, (1954).
D.L. Colton and R. Kress, Integral Equation Methods in Scattering Theory, Wiley Interscience, New York, (1983).
S. Fast, An Optimization Method for Solving a Radiation Direction Problem, Ph.D. Thesis, University of Delaware, Newark, Delaware, (1988).
G. Ulhmann, Inverse boundary value problems and applications, Asterisque, 207: 153–211, (1992).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Angell, T.S., Kleinman, R.E., Vainberg, B. (1997). Asymptotic Approximations for Optimal Conformal Antennas. In: Baum, C.E., Carin, L., Stone, A.P. (eds) Ultra-Wideband, Short-Pulse Electromagnetics 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6896-1_21
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6896-1_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3276-1
Online ISBN: 978-1-4757-6896-1
eBook Packages: Springer Book Archive