MATLAB: How to plot polar plot from -pi to pi instead of 0 to 2*pi

antennaMATLAB

I have already tried thetalim([-180 180]) but this command shows error in function file and not even show the half polar plot.

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What error do you get?

I tried the below and I don't get any error.

theta = linspace(-pi,pi,25);
rho = 2*theta;
p = polarplot(theta,rho);
thetalim([-180 180])

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MATLAB: Solving non linear equation using fsolve

You are not passing theta_n and other parameters to root2d(). One fix is to make root2d a Nested Function. Also, you must choose a different initial point. phi0 = [10,10] worked for me.

function solve_it()
    beta_a = 10;
    alpha_n = 10 ;
    eta= 18;
    i = 18;
    theta_i = 10;
    theta_n = 10 ;
    
    fun = @root2d;
    phi0 = [10,10];
    phi = fsolve(fun,phi0);
    phi_n = phi(1),
    phi_i = phi(2),
    function F = root2d(phi)
    F = zeros(2,1);
    F(1) = (pi*sin((pi*(phi(1) + theta_n))/180)*cos((pi*phi(2))/180)*(cos((pi*theta_n)/180) + tan((pi*i)/180)*tan((pi*theta_i)/180)))/(180*sin((pi*phi(1))/180)*(cos((pi*(phi(1) + theta_n))/180)*cos((phi(2)*pi)/180) + sin((phi(2)*pi)/180)*tan((theta_i*pi)/180))^2) - (pi*cos((pi*phi(1))/180)*(cos((pi*theta_n)/180) + tan((pi*i)/180)*tan((pi*theta_i)/180)))/(180*sin((phi(1)*pi)/180)^2*(cos((pi*(phi(1) + theta_n))/180)*cos((pi*phi(2))/180) + sin((pi*phi(2))/180)*tan((pi*theta_i)/180)));
    F(2) = ((cos((pi*theta_n)/180) + tan((pi*i)/180)*tan((pi*theta_i)/180))*((pi*cos((pi*(phi(1) + theta_n))/180)*sin((pi*phi(2))/180))/180 - (pi*cos((pi*phi(2))/180)*tan((pi*theta_i)/180))/180))/(sin((pi*phi(1))/180)*(cos((pi*(phi(1) + theta_n))/180)*cos((phi(2)*pi)/180) + sin((phi(2)*pi)/180)*tan((theta_i*pi)/180))^2);
    end
end

MATLAB: Plot range -pi to pi

Try this:

% Initialization / clean-up code.
clc;    % Clear the command window.
close all;  % Close all figures (except those of imtool.)
clear;  % Erase all existing variables. Or clearvars if you want.
workspace;  % Make sure the workspace panel is showing.
format long g;
format compact;
fontSize = 20;
theta = linspace(-pi, pi, 1000);
period = 3*pi/4;  % Whatever you want.
sint = sin(2 * pi * theta / period);
plot(theta, sint, 'b-', 'LineWidth', 2);
hold on;
cosinet = cos(2 * pi * theta / period);
plot(theta, cosinet, 'r-', 'LineWidth', 2);
tant = tan(2 * pi * theta / period);
plot(theta, tant, '-', 'Color', [0, 0.5, 0], 'LineWidth', 2);
grid on;
xlabel('Theta [in radians]', 'FontSize', fontSize);
ylabel('Amplitude (signal value)', 'FontSize', fontSize);
title('Trig functions versus Theta', 'FontSize', fontSize);
legend('Sine', 'Cosine', 'Tangent');
% The tangent spikes are so big that we can't see the sin and cosine.
% Let's limit the y range to +/- 4;
ylim([-4, 4]);
% Set up figure properties:
% Enlarge figure to full screen.
set(gcf, 'Units', 'Normalized', 'OuterPosition', [0 0 1 1]);
% Get rid of tool bar and pulldown menus that are along top of figure.
set(gcf, 'Toolbar', 'none', 'Menu', 'none');
% Give a name to the title bar.
set(gcf, 'Name', 'Demo by ImageAnalyst', 'NumberTitle', 'Off')

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MATLAB: Solving non linear equation using fsolve

MATLAB: Plot range -pi to pi

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