Welcome to Arraytool’s Documentation!¶

Basic Theory¶

This is a brief mathematical introduction related to the phased array antennas. The theory presented here is not meant to be exhaustive, but only sufficient to understand various definitions and functions related to Arraytool library.

• Relation between Source Excitation and Far-Field Pattern
  • Symmetric Maxwell’s Equations
  • Vector Potentials and Helmholtz Wave Equations
  • Far-field Approximations
  • Far-field Green’s Functions of Infinitesimal Dipoles
• Continuous Sources
• Think beyond the Visible Space!
• Discrete Sources
  • Scanning via Progressive Phase Shift
  • Grating Lobe Analysis
• Classification of Array Excitation Types
• Various Parameters of Array Antennas
  • Array Pattern
  • Array Gain
  • Array Directivity
  • Various Array Factor Definitions used in Arraytool
  • Array Tapper Efficiency
  • Normalized Bore-sight Slope

For more comprehensive treatment, see the following books.

• [Bhattacharyya]
• [Hansen]
• [Mailloux]

Tutorial¶

If you are new to Arraytool, start from here.

• A Few Examples
  • Import and Export
  • Input Format
  • Array Factor Zeros
  • Excitation from AF Zeros
  • Generating Various Types of Array Excitations
  • Evaluating 2D Array Factor of a Linear Array in u - domain
  • Evaluating 3D Array Factor of a planar Array in uv - domain
  • Evaluating 3D Array Factor of an arbitrary 3D Array in (tht, phi) - domain
  • Usage of Zolotarev Polynomial Module

Function Reference¶

• Planar Array Routines
• Zolotarev Polynomial Related Routines

End matter¶

• References