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Homework Help: Phased radar array

  1. Nov 21, 2007 #1
    1. The problem statement, all variables and given/known data
    A towed - array sonar comprises 100 transducers equally spaced at every 3m and towed behind a ship so the array stays just below the surface of the water (effectively horizontal). An adjustable phase delay can be introduced for each transducer, allowing the sonar beam to be steered. Speed of sound in water = approx 1500 ms^-1

    Find the maximum frequency that may be used if only one diffraction order is ever to present as the beam is scanned from -90 to 90 degrees.

    2. Relevant equations

    3. The attempt at a solution
    i have this equation but dont know where it comes from:

    dsin(theta) + delta x wavelength/2pi = n x wavelength (1)

    where d = spacing between transducers, delta = phase and n is the order

    I can use this to find the frequency but dont understand what this equation means or is saying and where it comes from?
    Last edited: Nov 21, 2007
  2. jcsd
  3. Nov 21, 2007 #2


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    Science Advisor
    Gold Member

    I've looked online but didn't find a simple introductory explanation. Does the text for your course not cover this?
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