get_zmn_for_phi.m File Reference

Constructs the system matrix Zmn and target vector d for dipole-based sidelobe reduction in a dish antenna. More...

Functions
function	get_zmn_for_phi (in dish_analyzer, in EdB, in Etheta, in Ephi, in theta_range, in phi, in N, in rho_loc, in phi_locs, in freq)

Detailed Description

Constructs the system matrix Zmn and target vector d for dipole-based sidelobe reduction in a dish antenna.

This function computes the matrix of dipole contributions (Zmn) and the difference vector (d_vec) between the original field and a target field (typically zero outside the main lobe). It uses the provided DishAnalyzer to determine the beamwidth and builds a window (rectwin) to preserve the main lobe while attenuating sidelobes.

Parameters

dish_analyzer	DishAnalyzer object containing dish geometry and analysis methods.
EdB	Normalized far-field magnitude in dB (used for beamwidth calculation).
Etheta	Complex E-theta component of the dish's far-field.
Ephi	Complex E-phi component of the dish's far-field.
theta_range	Array of theta sampling points [rad].
phi	Fixed azimuth angle [rad] for evaluating the 2D far-field pattern.
N	Number of dipoles to place around the feed.
rho_loc	Radial distance of dipoles from dish center [m].
phi_locs	Array of azimuthal dipole positions [rad].
freq	Operating frequency [Hz].

Return values

Zmn	Complex-valued system matrix of dipole field contributions (size 2M × N).
d_vec	Desired modification vector (difference between target and current field values).
rectwin	Rectangular window selecting main lobe region (for field preservation).

This helper function is typically used in dipole excitation optimization (e.g., LSQR, fmincon). The dipole model used is SimpleDipole, oriented tangentially along azimuth.

See also

SimpleDipole

DishAnalyzer

find_lsqr_solution

Function Documentation

get_zmn_for_phi()

function get_zmn_for_phi	(	in	dish_analyzer,
		in	EdB,
		in	Etheta,
		in	Ephi,
		in	theta_range,
		in	phi,
		in	N,
		in	rho_loc,
		in	phi_locs,
		in	freq )