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Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = between the signals at source. If the intensity of each source is I,, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±7/2. Plot / versus 0. (b) If the sources in (a) are now X/4 apart and 80 = x/2 show that 1 = 41, 41, [cos² (1+ sine)] Plot / versus 0.

Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = between the signals at source. If the intensity of each source is I,, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±7/2. Plot / versus 0. (b) If the sources in (a) are now X/4 apart and 80 = x/2 show that 1 = 41, 41, [cos² (1+ sine)] Plot / versus 0.

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Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = π between the signals at source. If the intensity of each source is Is, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±/2. Plot I versus 0. (b) If the sources in (a) are now X/4 apart and 80 = 7/2 show that π 41, [cos² (1 + sine)] Plot I versus 0.
Transcribed Image Text:Problem 12.4 (a) Two equal sources radiate a wavelength A and are separated a distance X/2. There is a phase difference 80 = π between the signals at source. If the intensity of each source is Is, show that the intensity of the radiation pattern is given by 1 = 41, sin² (sin 6) where the sources lie on the axis ±/2. Plot I versus 0. (b) If the sources in (a) are now X/4 apart and 80 = 7/2 show that π 41, [cos² (1 + sine)] Plot I versus 0.
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