electromegnatics using matlab

Write a computer program to calculate the radiation pattern of an N-element Uniform Linear Array. Include the capability of plotting 2-d rectangular and polar patterns. Using this program, perform the following calculations and plot patterns in, both, rectangular and polar forms. a. Plot the radiation pattern for N = 10 elements, spaced d = lambda/4 apart, for three different values of phase difference: beta = 0, beta = -pi/4, beta = -pi/2 and beta = -pi/2. Comment on the result. b. With beta corresponding to the Hansen-Woodyard condition, calculate the radiation pattern and compare with the ordinary endfire array. Use the same array as in part #a. c. Investigate the 3-d characteristics of the array by placing it on each of the three axes, namely the x-, y-, and z-axes. Plot the pattern in each case and discuss. d. Investigate the occurrence of grating lobes as spacing varies and hence establish the condition to avoid these. Perform this analysis for each type of array, namely the broadside, the endfire and the phased array. Write a computer program to calculate the radiation pattern of an N-element Uniform Linear Array. Include the capability of plotting 2-d rectangular and polar patterns. Using this program, perform the following calculations and plot patterns in, both, rectangular and polar forms. a. Plot the radiation pattern for N = 10 elements, spaced d = lambda/4 apart, for three different values of phase difference: beta = 0, beta = -pi/4, beta = -pi/2 and beta = -pi/2. Comment on the result. b. With beta corresponding to the Hansen-Woodyard condition, calculate the radiation pattern and compare with the ordinary endfire array. Use the same array as in part #a. c. Investigate the 3-d characteristics of the array by placing it on each of the three axes, namely the x-, y-, and z-axes. Plot the pattern in each case and discuss. d. Investigate the occurrence of grating lobes as spacing varies and hence establish the condition to avoid these. Perform this analysis for each type of array, namely the broadside, the endfire and the phased array