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Create spherical reflector-backed antenna

Since R2020b


The reflectorSpherical antenna object creates a spherical reflector-backed antenna. The reflector in the spherical reflector-backed antenna is one-half the size of the sphere. The antenna is used in wide-angle scanning on account of its perfectly symmetrical geometric configuration.

Spherical reflector antenna geometry, default radiation pattern, and impedance plot.




ant = reflectorSpherical creates a spherical reflector-backed antenna. The default antenna object has an exciter as a center-fed dipole located on the X-Y plane. The default antenna object dimensions are chosen for an operating frequency of 1 GHz.


ant = reflectorSpherical(Name=Value) creates a cavity-backed 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, reflectorSpherical(Radius=0.6) sets the spherical reflector radius to 0.6 meters.


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Exciter antenna or array type, specified as either:

  • Antenna object from the catalog (except reflector type, cavity type and platform-installed antennas)

  • Array object from the catalog (except conformal and infinite arrays)

  • Custom antennas: customAntennaGeometry, customAntennaMesh, customAntenna

  • Measured pattern data of an antenna or array: measuredAntenna

  • Empty array

To create the reflector backing structure without an exciter, specify this property as an empty array.

Example: dipole

Example: linearArray(Element=patchMicrostrip)

Example: customAntenna

Example: measuredAntenna

Example: []

Aperture radius of the spherical reflector along X and Y-axes, specified as a positive scalar in meters.

Example: 0.259

Data Types: double

Signed distance between feed point of the exciter and the origin, specified as a three-element vector with each element unit in meters.

Example: [0 0 0.082]

Data Types: double

Perpendicular distance between origin and the aperture of the spherical reflector-backed antenna, specified as a positive scalar in meters.

Example: 0.6


Depth should be less than or half the Radius.

Data Types: double

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")

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

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

Example: Load=lumpedelements, where lumpedelements is the load added to the antenna feed.

Example: lumpedElement(Impedance=75)

Solver for antenna analysis, specified as a string. Default solver is "MoM-PO"(Method of Moments-Physical Optics hybrid). Other supported solvers are: "MoM" (Method of Moments), "PO" (Physical optics) or "FMM" (Fast Multipole Method).

Example: SolverType="MoM"

Data Types: string

Object Functions

axialRatioCalculate and/or plot axial ratio of antenna or array
bandwidthCalculate and/or plot absolute bandwidth of antenna
beamwidthBeamwidth of antenna
currentCurrent distribution on antenna or array surface
chargeCharge 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
solverAccess FMM solver for electromagnetic analysis
sparametersCalculate S-parameters for antennas and antenna arrays
vswrVoltage standing wave ratio (VSWR) of antenna or array element


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Create a spherical reflector-backed antenna object with default properties.

ant = reflectorSpherical
ant = 
  reflectorSpherical with properties:

       Exciter: [1x1 dipole]
        Radius: 0.1500
         Depth: 0.1500
    FeedOffset: [0 0 0.0750]
          Tilt: 0
      TiltAxis: [1 0 0]
          Load: [1x1 lumpedElement]
    SolverType: 'MoM-PO'

View the antenna.


Create a spherical reflector-backed antenna with a dipole as an exciter spaced at 90 millimeters.

rs = reflectorSpherical;
rs.FeedOffset(3) = 90e-3;

Visualize the antenna.


Plot the S-parameters at 1 GHz.

s = sparameters(rs,(9:0.1:11)*1e9);

Create a waveguide designed at 10 GHz backed with a spherical reflector.

w = design(waveguide,10e9);
rs = reflectorSpherical(Exciter=w);
rs.Exciter.Tilt = 90;
rs.Exciter.TiltAxis = [ 0 1 0];

Visualize the antenna.


Plot the radiation pattern at 10 GHz.


Create a circular array with discone antennas.

d = discone(Height=0.04);
circArr = circularArray(Element=d,Radius=0.1);

Create a spherical reflector antenna with circular array exciter.

ant = reflectorSpherical(Exciter=circArr,Radius=0.25)
ant = 
  reflectorSpherical with properties:

       Exciter: [1x1 circularArray]
        Radius: 0.2500
         Depth: 0.1500
    FeedOffset: [0 0 0.0750]
          Tilt: 0
      TiltAxis: [1 0 0]
          Load: [1x1 lumpedElement]
    SolverType: 'MoM-PO'



[1] Balanis, Constantine A. Antenna Theory: Analysis and Design. 3rd ed. Hoboken, NJ: John Wiley, 2005.

Version History

Introduced in R2020b