page_title: Beamwidth
hierarchical_section_title: Beamwidth
caption_attribution_description: Nederlands: Antenne karakteristiek met openingshoek
context_page_description: In a radio antenna pattern, the half power beam width is the angle between the half-power points of the main lobe, when referenced to the peak effective radiated power of the main lobe. See beam diameter.
  Beamwidth is usually but not always expressed in degrees and for the horizontal plane.
  The beamwidth can be computed for arbitrary antenna arrays. Defining the array manifold as the complex response of the element antenna array as, where is a matrix with rows, the beam pattern is first computed as:
  where is the conjugate transpose of at the reference angle.
  From the beam pattern, the antenna power is computed as:
  The half power beamwidth is then found as the range of where.
  Note that other definitions of beamwidth exist, such as the distance between nulls and distance between first side lobes.
context_section_description: In a radio antenna pattern, the half power beam width is the angle between the half-power (-3 dB) points of the main lobe, when referenced to the peak effective radiated power of the main lobe. See beam diameter.
  Beamwidth is usually but not always expressed in degrees and for the horizontal plane.
  The beamwidth can be computed for arbitrary antenna arrays. Defining the array manifold as the complex response of the  element antenna array as , where  is a matrix with  rows, the beam pattern is first computed as:
  where  is the conjugate transpose of  at the reference angle .
  From the beam pattern , the antenna power is computed as:
  The half power beamwidth (HPBW) is then found as the range of  where .
  Note that other definitions of beamwidth exist, such as the distance between nulls and distance between first side lobes.
caption: A 'polar' diagram showing beamwidth
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