Theory Background

Mathematical foundations for phased array antenna modeling.

• Array Fundamentals
  • Array Factor Derivation
  • Uniform Linear Array
  • Beam Steering
  • Pattern Multiplication
  • Grating Lobes
  • Directivity
  • Beamwidth
  • Scan Loss
  • FFT-Based Computation
• Coordinate Systems
  • Spherical Coordinates (Theta/Phi)
  • Direction Cosines (UV-Space)
  • Conversion Functions
  • Azimuth/Elevation
  • Sine-Space
  • Array-Centered vs. Global Coordinates
  • Coordinate Grid Generation
• Tapering Theory
  • Why Taper?
  • The Fourier Relationship
  • Aperture Efficiency
  • Taylor Taper
  • Chebyshev (Dolph-Chebyshev) Taper
  • Hamming and Hanning Windows
  • Cosine Tapers
  • Gaussian Taper
  • 2D Tapers
  • Taper Selection Guidelines
  • Combining Tapers with Steering