A Shaped Reflector Antenna Design Approach for Contoured Beam Synthesis With Surface Curvature Constraints

An efficient B-spline curvature-based reflector shape synthesis technique for generating a continental US (CONUS) beam pattern is presented. The approach is based on representing a reflector as a set of curves that can be modified to alter the reflector's shape. Instead of directly optimizing the curves as done in other commercial software packages, the curvature is evaluated and represented using B-spline polynomials. The control points of each spline curve are defined as optimization variables, which generate new curvature profiles at each iteration. The set of curves with the corresponding curvature is synthesized using the natural equation method and is then used to construct the reflector surface. This two-step process of first optimizing the curvature and then reconstructing a reflector surface greatly facilitates the ability to impose constraints on surface curvature arising from the choice of the manufacturing process. Furthermore, no significant degradation in the convergence behavior was observed when including curvature bounds in the cost function. This makes the approach very attractive when compared to existing methods. In addition, this method can be applied to arbitrary reflector configurations of interest and be paired with any optimization method. The accuracy and validity of the proposed method are verified by multiple application examples.

© 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Files

Metadata

Work Title A Shaped Reflector Antenna Design Approach for Contoured Beam Synthesis With Surface Curvature Constraints
Subtitle IEEE
Access
Open Access
Creators
  1. Manushanker Balasubramanian
  2. Sawyer D. Campbell
  3. Douglas H. Werner
  4. Thomas H. Hand
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. IEEE Transactions on Antennas and Propagation
Publication Date December 19, 2023
Publisher Identifier (DOI)
  1. https://doi.org/10.1109/TAP.2023.3342633
Deposited November 15, 2024

Versions

Analytics

Collections

This resource is currently not in any collection.

Work History

Version 1
published

  • Created
  • Added curvature_CONUSoptimization-1.pdf
  • Added Creator Manushanker Balasubramanian
  • Added Creator Sawyer D. Campbell
  • Added Creator Douglas H. Werner
  • Added Creator Thomas H. Hand
  • Published
  • Updated