Use Matlab to draw the figures.

Question 1: Using Matlab, determine the direction of the maximum radiation, an expression for Smax, and generate a plot for the normalized radiation pattern F(?for a dipole of Question 2: Two isotropic antennas form a two-element array separated by a distance d along the z-axis is placed in a coordinate system whose z-axis points eastward and whose x-axis points toward the zenith. If ao-ai-1, are the amplitudes of the excitations of the antennas at z-0 and at z-d respectively, and if ? is the phase of the excitation of the antenna atz- d relative to that of the other antenna, find the array factor in thex-z plane for ? ?/4 and d /2, and use Matlab to plot it. Question 3: A six-element linear array excited with equal phase and a uniform amplitude distribution with inter-element spacing equals to 31/4. Determine the half-power beamwidth and plot the normalised array factor using Matlab. Question 4: Plot the normalized radiation intensity F(0) for a uniformly illuminated aperture of length x-15A using Matlab, and determine the beamwidth between first nulls in the x-z plane. Question 5: An eight-element linear array with W4 spacing is excited with equal amplitudes. To steer the main beam to a direction 40 below the broadside direction, what should be the incremental phase delay between adjacent elements? Also, give the expression for the array factor and use Matlab to plot the pattern Question 1: Using Matlab, determine the direction of the maximum radiation, an expression for Smax, and generate a plot for the normalized radiation pattern F(?for a dipole of Question 2: Two isotropic antennas form a two-element array separated by a distance d along the z-axis is placed in a coordinate system whose z-axis points eastward and whose x-axis points toward the zenith. If ao-ai-1, are the amplitudes of the excitations of the antennas at z-0 and at z-d respectively, and if ? is the phase of the excitation of the antenna atz- d relative to that of the other antenna, find the array factor in thex-z plane for ? ?/4 and d /2, and use Matlab to plot it. Question 3: A six-element linear array excited with equal phase and a uniform amplitude distribution with inter-element spacing equals to 31/4. Determine the half-power beamwidth and plot the normalised array factor using Matlab. Question 4: Plot the normalized radiation intensity F(0) for a uniformly illuminated aperture of length x-15A using Matlab, and determine the beamwidth between first nulls in the x-z plane. Question 5: An eight-element linear array with W4 spacing is excited with equal amplitudes. To steer the main beam to a direction 40 below the broadside direction, what should be the incremental phase delay between adjacent elements? Also, give the expression for the array factor and use Matlab to plot the pattern