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Create balanced bifilar or quadrafilar dipole helix antenna without circular ground plane


The dipoleHelixMultifilar object creates a balanced bifilar or quadrafilar helix antenna without a circular ground plane. You can create both short-circuited and open-ended dipole helix multifilar antennas. Bifilar and quadrafilar helix antennas are used in aerospace and defense applications.

The width of the strip is related to the diameter of an equivalent cylinder by the equation



  • w is the width of the strip.

  • d is the diameter of an equivalent cylinder.

  • r is the radius of an equivalent cylinder.

For a given cylinder radius, use the cylinder2strip utility function to calculate the equivalent width. The default helix antenna is end-fed. The circular ground plane is on the xy- plane. Helix antennas are used commonly in axial mode. In this mode, the helix circumference is comparable to the operating wavelength, and the helix has maximum directivity along its axis. In normal mode, the helix radius is small compared to the operating wavelength. In this mode, the helix radiates broadside, that is, in the plane perpendicular to its axis. The basic equations for the helix are



  • r is the radius of the helical dipole.

  • θ is the winding angle.

  • S is the spacing between turns.

For a given pitch angle in degrees, use the helixpitch2spacing utility function to calculate the spacing between the turns in meters.




ant = dipoleHelixMultifilar creates a bifilar or quadrafilar helix antenna without a circular ground plane. The default multifilar helical antenna is end-fed and operates around 2 GHz.


ant = dipoleHelixMultifilar(Name=Value) creates a multifilar helical dipole antenna, with additional Properties specified by one or more name–value arguments. Name is the property name and Value is the corresponding value. You can specify several name-value arguments in any order as Name1= Value1, ..., NameN=ValueN. Properties not specified retain their default values.

For example, ant = dipoleHelixMultifilar(Radius=28e-03) creates a multifilar helix with turns of radius 28e-03 m.


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Number of helical elements, specified as a 4 or 2. Two elements create a bifilar dipole helix antenna, and four elements create a quadrafilar dipole helix antenna.

Example: NumArms=2

Data Types: double

Radius of the turns, specified as a positive real scalar meter.

Example: Radius=28e-03

Data Types: double

Width of the strip, specified as a positive real scalar in meters.

Example: Width=0.2

Data Types: double

Number of turns, specified as a scalar integer.

Example: Turns=4

Data Types: double

Spacing between the turns, specified as a positive real scalar in meters.

Example: Spacing=7.5e-2

Data Types: double

Status of ends of the helix, specified as 0 or 1. By default, the dipoleHelixMultifilar is short circuited. Setting the property to 0 makes the helix antenna an open circuit.

Example: ShortEnds=0

Data Types: double

Direction of helix turns (windings), specified as CW or CCW.

Example: WindingDirection="CW"

Data Types: string

Substrate dielectric material, specified as "air" or a dielectric object. You can specify only one dielectric layer in the dipoleHelixMultifilar object. Specify the same radius for all the turns. When you use a dielectric material other than air, the number of turns in the dipole helix must be greater than 1. For a short-ended configuration, the number of turns must be a positive integer. For more information about dielectric substrate meshing, see Meshing.

Example: dielectric("Teflon")

Data Types: string

Type of the metal used as a conductor, specified as a metal material object. You can choose any metal from the MetalCatalog or specify a metal of your choice. For more information, see metal. For more information on metal conductor meshing, see Meshing.

Example: metal("Copper")

Lumped elements added to the antenna feed, specified as a lumped element object. You can add a load anywhere on the surface of the antenna. By default, the load is at the origin. For more information, see lumpedElement.

Example: Load=lumpedelement. lumpedelement is the object for the load created using lumpedElement.

Example: Load=lumpedElement(Impedance=75)

Data Types: double

Tilt angle of the antenna in degrees, specified as a scalar or vector. For more information, see Rotate Antennas and Arrays.

Example: 90

Example: Tilt=[90 90],TiltAxis=[0 1 0;0 1 1] tilts the antenna at 90 degrees about the two axes defined by the vectors.

Data Types: double

Tilt axis of the antenna, specified as one of these values:

  • Three-element vector of Cartesian coordinates in meters. In this case, each coordinate in the vector starts at the origin and lies along the specified points on the x-, y-, and z-axes.

  • Two points in space, specified as a 2-by-3 matrix corresponding to two three-element vectors of Cartesian coordinates. In this case, the antenna rotates around the line joining the two points.

  • "x", "y", or "z" to describe a rotation about the x-, y-, or z-axis, respectively.

For more information, see Rotate Antennas and Arrays.

Example: [0 1 0]

Example: [0 0 0;0 1 0]

Example: "Z"

Data Types: double | string

Object Functions

axialRatioCalculate and/or plot axial ratio of antenna or array
bandwidthCalculate and/or plot absolute bandwidth of antenna
beamwidthBeamwidth of antenna
chargeCharge distribution on antenna or array surface
currentCurrent distribution on antenna or array surface
designDesign prototype antenna or arrays for resonance around specified frequency or create AI-based antenna from antenna catalog objects
efficiencyRadiation efficiency of antenna
EHfieldsElectric and magnetic fields of antennas or embedded electric and magnetic fields of antenna element in arrays
impedanceInput impedance of antenna or scan impedance of array
infoDisplay information about antenna, array, or platform
memoryEstimateEstimate memory required to solve antenna or array mesh
meshMesh properties of metal, dielectric antenna, or array structure
meshconfigChange meshing mode of antenna, array, custom antenna, custom array, or custom geometry
optimizeOptimize antenna or array using SADEA optimizer
patternPlot radiation pattern and phase of antenna or array or embedded pattern of antenna element in array
patternAzimuthAzimuth plane radiation pattern of antenna or array
patternElevationElevation plane radiation pattern of antenna or array
rcsCalculate and plot monostatic and bistatic radar cross section (RCS) of platform, antenna, or array
resonantFrequencyCalculate and/or plot resonant frequency of antenna
returnLossReturn loss of antenna or scan return loss of array
showDisplay antenna, array structures, shapes, or platform
sparametersCalculate S-parameters for antennas and antenna arrays
vswrVoltage standing wave ratio (VSWR) of antenna or array element


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Create and view a default multifilar helical dipole antenna.

ant = dipoleHelixMultifilar
ant = 
  dipoleHelixMultifilar with properties:

             NumArms: 4
              Radius: 0.0220
               Width: 1.0000e-03
               Turns: 3
             Spacing: 0.0350
           ShortEnds: 1
    WindingDirection: 'CCW'
           Substrate: [1x1 dielectric]
           Conductor: [1x1 metal]
                Tilt: 0
            TiltAxis: [1 0 0]
                Load: [1x1 lumpedElement]


Create and view a quadrafilar helical dipole antenna with turn radius of 22 mm and strip width of 1 mm.

ant = dipoleHelixMultifilar(Radius=22e-3,Width=1e-3);

Add a Teflon dielectric substrate to it.

d = dielectric("Teflon");
ant.Substrate = d;

Figure contains an axes object. The axes object with title dipoleHelixMultifilar antenna element, xlabel x (mm), ylabel y (mm) contains 12 objects of type patch, surface. These objects represent PEC, feed, Teflon.

Plot the radiation pattern of the helical dipole at 1.56 GHz.


Figure contains an axes object and other objects of type uicontrol. The axes object contains 12 objects of type patch, surface. This object represents Teflon.

Version History

Introduced in R2018b