Directivity Pattern of Line Arrays

Highly directional acoustic and electromagnetic antennae are often built from linear arrays of omnidirectional transmitting (or receiving) elements. This Demonstration plots the directivity pattern of an unshaded line array of omnidirectional elements, steered to the angle with respect to the array axis. The patterns have cylindrical symmetry about the array axis. The array elements are plotted as white dots to show their number and orientation. An even number of elements results in a null along the axial direction of the array. An odd number of elements results in an endfire sidelobe, which, for many applications, is undesirable. The directivity pattern can be regarded as a transmission or reception sensitivity pattern.

The directivity pattern of an -element unshaded line array is given by , where , the wave number , is the polar angle, is the steering angle, and is the wavelength. The frequency is Hz and the array inter-element spacing is meters. The wave speed is m/s. In this Demonstration, the inter-element spacing is . You can vary the number of elements in the range 1 to 16, the steering angle in the range -90 to 90 degrees, and the number of points plotted in the azimuthal direction. The array elements are plotted as white dots.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+