Alternating generalized projection method applied to phase-only synthesis process of satellite reflectarray antennas

Promising algorithm of alternating generalized projection method (AGP) is proposed for phase-only synthesis process of satellite reflectarray antennas under intersection approach. This promising algorithm is a hybridized algorithm of two specialized algorithms for non-convex sets rescued in the lite...

Full description

Bibliographic Details
Authors: Florencio Díaz, Rafael; Escalante, René
Format: Article
Status:Published version
Publication date:2024
Country:España
Institution:Universidad de Jaén
Repository:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/3286
Online Access:https://doi.org/10.1016/j.enganabound.2024.105871
https://hdl.handle.net/10953/3286
Access Level:Open access
Keyword:Alternating generalized projection method
Method of alternating projections
Trap points
Intersection on sets
Phase-only synthesis
Intersection approach
Reflectarray antennas
Satellite antennas
-
Description
Summary:Promising algorithm of alternating generalized projection method (AGP) is proposed for phase-only synthesis process of satellite reflectarray antennas under intersection approach. This promising algorithm is a hybridized algorithm of two specialized algorithms for non-convex sets rescued in the literature: algorithm based on separating hyperplanes and algorithm based on decomposition method in polar cones. Since the sets involved in phase-only synthesis process of satellite reflectarray antennas are non-convex, the conventional von Neumann alternating projection method proposed in the literature does not guarantee convergence to the point in the intersection of the involved sets. In addition, the results of the phase-only synthesis obtained by the different algorithms were compared and promising improvements produced by the proposed hybridized algorithm were shown.