Clear Filters
Clear Filters

Can Antenna Toolbox used to design 3d antenna geometries?

2 views (last 30 days)
Need to design a 3d fractal antenna which would be 3d printed on the inside of a curved surface (a hemisphepre) with a dielectric layer.
Conceptual code below:
function koch4onhemisphere % using R2023a 30-day trial with antenna toolbox
clear all
close all
tic
% Parameters
order = 4;
radius = 1;
% Generate a Koch fractal with length equal to the hemisphere's circumference
circumference = 2 * pi * radius;
points = [0, 0; circumference, 0];
fractal_points = generateKochPoints(points, order);
% Normalize the length of the Koch fractal to fit [0, 2*pi]
fractal_points(:,1) = fractal_points(:,1) / circumference * 2 * pi;
% Map the Koch fractal points onto the surface of the hemisphere
mapped_points = zeros(size(fractal_points, 1), 3);
for i = 1:size(fractal_points, 1)
theta = fractal_points(i, 1);
phi = pi / 2 * fractal_points(i, 2) / max(fractal_points(:, 2));
[x, y, z] = sph2cart(theta, phi, radius);
mapped_points(i, :) = [x, y, z];
end
% Plot the hemisphere and the mapped Koch fractal points
[X, Y, Z] = sphere(100);
X = X * radius;
Y = Y * radius;
Z = Z * radius;
hemisphere = surf(X, Y, Z .* (Z >= 0));
set(hemisphere, 'FaceAlpha', 0.5, 'FaceColor', 'cyan', 'EdgeColor', 'none');
hold on;
plot3(mapped_points(:,1), mapped_points(:,2), mapped_points(:,3), 'r', 'LineWidth', 2);
axis equal;
xlabel('X');
ylabel('Y');
zlabel('Z');
grid on;
title(['Koch Fractal Order ', num2str(order), ' Mapped to Hemisphere']);
hold off;
%
save koch4onhemisphere
toc
end
function new_points = generateKochPoints(points, order)
if order == 0
new_points = points;
else
new_points = [];
for i = 1:size(points,1)-1
pt1 = points(i,:);
pt2 = points(i+1,:);
% Divide the segment into thirds
seg1 = pt1 + (pt2 - pt1) / 3;
seg3 = pt1 + 2 * (pt2 - pt1) / 3;
% Calculate the peak point
seg1_complex = complex(seg1(1), seg1(2));
seg3_complex = complex(seg3(1), seg3(2));
temp = (seg3_complex - seg1_complex) * exp(1i * pi/3);
peak = seg1 + [real(temp), imag(temp)];
% Recursively generate Koch points
new_points = [new_points;
generateKochPoints([pt1; seg1], order-1);
generateKochPoints([seg1; peak], order-1);
generateKochPoints([peak; seg3], order-1);
generateKochPoints([seg3; pt2], order-1)];
end
end
end

Answers (0)

Categories

Find more on Material Catalog in Help Center and File Exchange

Products


Release

R2023a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!