eggCrate

Create egg crate array of Vivaldi antenna elements

Since R2021a

Description

The default eggCrate object creates an array of Vivaldi antenna elements arranged in a rectangular egg-crate structure. Egg crate arrays are used in phased array applications in radar systems.

Creation

Syntax

array = eggCrate

array = eggCrate(Name=Value)

Description

array = eggCrate creates an array of Vivaldi antenna elements arranged in a rectangular egg-crate structure in the xy-plane.

array = eggCrate(Name=Value) sets properties using 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 that you do not specify, retain their default values.

For example, array = eggCrate(Element=vivaldiOffsetCavity) creates an egg-crate array of vivaldiOffsetCavity object.

Properties

Element — Vivaldi antenna

vivaldi (default) | vivaldiOffsetCavity

Vivaldi antenna, specified as either a vivaldi or vivaldiOffsetCavity object.

Example: vivaldi

Size — Number of rows and columns in array

[2 2] (default) | two-element vector

Number of rows and columns in the egg crate array, specified as a two-element vector.

Note

You can use NumElements to determines number of Vivaldi antenna elements in the egg-crate array.

Example: [4 4]

Data Types: double

Gap — Spacing between Vivaldi antenna elements

[0 0] (default) | two-element vector

Spacing between the Vivaldi antenna elements, specified as a two-element vector with each element in meters. The first element in the vector represents the spacing between the Vivaldi elements along x-axis. The second element represents the spacing between the Vivaldi elements along y-axis.

Example: [0.1 0.2]

Data Types: double

FeedVoltage — Voltage applied to feed

1 (default) | positive scalar | real positive vector

Magnitude of the voltage applied to the feed, specified as a as a positive scalar or a vector of positive elements in volts. If you specify a vector, it must be of the same size as 'NumElements'.

Example: 2

Data Types: double

FeedPhase — Phase shift for each element in array

0 (default) | real scalar | real vector

Phase shift for each element in the array, specified as a real scalar or a vector of real elements in degrees. If you specify a vector, it must be of the same size as 'NumElements'.

Example: -12

Data Types: double

Tilt — Tilt angle of array

0 (default) | numeric scalar | numeric vector

Tilt angle of the array 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 array at 90 degrees about the two axes, defined by the vectors.

Data Types: double

TiltAxis — Tilt axis of array

[1 0 0] (default) | three-element vector | 2-by-3 matrix | "X" | "Y" | "Z"

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

• Three-element vectors of Cartesian coordinates in meters. In this case, each 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 array 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

SolverType — Solver for antenna analysis

"MoM" (default) | "MoM-PO" | "FMM"

Solver for antenna analysis, specified as either "MoM" (Method of Moments) or "MoM-PO" (Method of Moments-Physical Optics) hybrid or "FMM" (Fast Multipole Method).

Example: "MoM-PO"

Data Types: string

Object Functions

axialRatio	Calculate and plot axial ratio of antenna or array
beamwidth	Beamwidth of antenna
charge	Charge distribution on antenna or array surface
current	Current distribution on antenna or array surface
efficiency	Calculate and plot radiation efficiency of antenna or array
EHfields	Electric and magnetic fields of antennas or embedded electric and magnetic fields of antenna element in arrays
feedCurrent	Calculate current at feed for antenna or array
impedance	Calculate and plot input impedance of antenna or scan impedance of array
info	Display information about antenna, array, or platform
memoryEstimate	Estimate memory required to solve antenna or array mesh
mesh	Mesh properties of metal, dielectric antenna, or array structure
meshconfig	Change meshing mode of antenna, array, custom antenna, custom array, or custom geometry
msiwrite	Write antenna or array analysis data to MSI planet file
optimize	Optimize antenna or array using SADEA optimizer
pattern	Plot radiation pattern and phase of antenna or array or embedded pattern of antenna element in array
patternAzimuth	Azimuth plane radiation pattern of antenna or array
patternElevation	Elevation plane radiation pattern of antenna or array
peakRadiation	Calculate and mark maximum radiation points of antenna or array on radiation pattern
rcs	Calculate and plot monostatic and bistatic radar cross section (RCS) of platform, antenna, or array
returnLoss	Calculate and plot return loss of antenna or scan return loss of array
show	Display antenna, array structures, shapes, or platform
solver	Access FMM solver settings for electromagnetic analysis
sparameters	Calculate S-parameters for antenna or array
stlwrite	Write mesh information to STL file
vswr	Calculate and plot voltage standing wave ratio (VSWR) of antenna or array element

Examples

Plot Radiation Pattern of Default Egg-Crate Array

Create a default egg-crate array.

eca = eggCrate

eca = 
  eggCrate with properties:

        Element: [1x1 vivaldi]
           Size: [2 2]
            Gap: [0 0]
    FeedVoltage: 1
      FeedPhase: 0
           Tilt: 0
       TiltAxis: [1 0 0]
     SolverType: 'MoM'

View the array using the show function.

show(eca)

Plot the radiation pattern of the egg-crate array at a frequency of 825 MHz.

pattern(eca,825e6)

Create Egg-Crate Array and Plot Radiation Pattern

Create a 2-by-2 egg-crate array with a spacing of 20 mm between the Vivaldi elements.

eca = eggCrate(Size=[2 2], Gap=[20e-3 20e-3])

eca = 
  eggCrate with properties:

        Element: [1x1 vivaldi]
           Size: [2 2]
            Gap: [0.0200 0.0200]
    FeedVoltage: 1
      FeedPhase: 0
           Tilt: 0
       TiltAxis: [1 0 0]
     SolverType: 'MoM'

View the array using the show function.

show(eca)

Plot the radiation pattern of the array at a frequency of 0.9 GHz.

pattern(eca,0.9e9)

Create Egg Crate Array and Plot Impedance of all Elements

Create a 1-by-4 egg-crate array with vivaldiOffsetCavity elements.

eca = eggCrate(Element=vivaldiOffsetCavity, Size=[1 4])

eca = 
  eggCrate with properties:

        Element: [1x1 vivaldiOffsetCavity]
           Size: [1 4]
            Gap: [0 0]
    FeedVoltage: 1
      FeedPhase: 0
           Tilt: 0
       TiltAxis: [1 0 0]
     SolverType: 'MoM'

View array using the show function.

show(eca)

Plot the S-parameters of the array over a frequency range of 14--17 GHz.

s = sparameters(eca,linspace(14e9,17e9,41));
rfplot(s)

More About

NumElements

Determines number of antenna elements in egg crate array as a positive integer value. The NumElements for default egg crate array is 8.

Example: N = arr.NumElements

References

[1] Chu, Hao-Lung, Ghanshyam Mishra, and Satish K. Sharma. “Dual Polarized Wideband Vivaldi 4x4 Subarray Antenna Aperture for 5G Massive MIMO Panels with Simultaneous Multiple Beams.” In 2018 18th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM), 1–2. Waterloo, ON: IEEE, 2018. https://doi.org/10.1109/ANTEM.2018.8572871.

[2] R. Hahnel and D. Plettemeier, "Dual-polarized Vivaldi array for X- and Ku-Band," Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation,2012, pp. 1-2.

[3] Yan, J., S. Gogineni, Bruno Camps-Raga and J. Brozena. “A Dual-Polarized 2–18-GHz Vivaldi Array for Airborne Radar Measurements of Snow.” IEEE Transactions on Antennas and Propagation, 2016, vol. 64, pp. 781-785.

Version History

Introduced in R2021a