2. A laser beam has passed through an aperture that consisted of N equally spaced narrow slits. The irradiance profile of such aperture has been obtained and shown in Figure 2. Relative irradiance, I/I, (arb. unit) 0 5 -1.00x 15 10. 20 25 -0.75% -0.50x -0.25x 0.00 0.25 0.50x irradiance profile diffraction limit 0.75% 1.00R Phase, (radians) Figure 2: Irradiance profile of aperture with N equally spaced slits. The irradiance profile is enveloped within the diffraction limit (indicated by the red lines). The irradiance profile was obtained using the following equation: I sin sin Na where a and B are the phases associated with slit sin a interval and slit width respectively. (a). From the irradiance profile, (i). Determine the number of slits. [10 marks] (ii). Determine the ratio between slit interval to slit width. [10 marks] (iii). Determine the position of the missing order in terms of a. [10 marks] (iv). List the positions of the minima for 0. Only answers expressed in the form of fraction will be accepted. [15 marks] (v). List the positions of the principal maxima for 0. Only answers expressed in the form of fraction will be accepted. [10 marks] (b). Predict the changes towards the irradiance profile if the number of slits increased while the ratio between slit interval and slit width remained the same. [10 marks] (c). Predict the changes towards the irradiance profile if the ratio between slit interval and slit width increased while the number of slits remained the same. [10 marks]