Plotting polarization of EM waves in Matlab

[yefj]

Homework Statement

plotting EM polarized wave in matlab

Relevant Equations

polarization ellipse

Hello , there is a polarization matix I want to implement in matlab.
I have build a basic matlab plot which could visualize EM waves in 3D.
The basic equations described in equation 2.5.1 from the attached link.
given the simple case of linear polarization, What is the strategy of plotting 2.5.1 EM representation like in the photo below?
Thanks.
https://eceweb1.rutgers.edu/~orfanidi/ewa/ch02.pdf

clc
clear
x = linspace(0,4*pi,100);
figure;
plot3(x,zeros(1,100),zeros(1,100),'k','LineWidth',2);
hold on
plot3(x,-sin(x),zeros(1,100),'k');
plot3(x,zeros(1,100),sin(x),'k');
x_quiver = 0:pi/4:4*pi;
q1 = quiver3(x_quiver,zeros(1,17),zeros(1,17),zeros(1,17),-sin(x_quiver),zeros(1,17),0);
q2 = quiver3(x_quiver,zeros(1,17),zeros(1,17),zeros(1,17),zeros(1,17),sin(x_quiver),0);
hold off;