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.

example

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.

example

Properties

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`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

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Plot Radiation Pattern of Default Egg-Crate Array

Open Live Script

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)

Figure contains an axes object. The axes object with title eggCrate antenna element, xlabel x (mm), ylabel y (mm) contains 24 objects of type patch, surface. These objects represent PEC, feed.

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

pattern(eca,825e6)

Figure contains 2 axes objects and other objects of type uicontrol. Axes object 1 contains 24 objects of type patch, surface. Hidden axes object 2 contains 24 objects of type surface, line, text, patch.

Create Egg-Crate Array and Plot Radiation Pattern

Open Live Script

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)

Figure contains an axes object. The axes object with title eggCrate antenna element, xlabel x (mm), ylabel y (mm) contains 24 objects of type patch, surface. These objects represent PEC, feed.

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

Open Live Script

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)

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

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

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

$Figure contains an axes object. The axes object with xlabel Frequency (GHz), ylabel Magnitude (dB) contains 16 objects of type line. These objects represent dB(S_{11}), dB(S_{21}), dB(S_{31}), dB(S_{41}), dB(S_{12}), dB(S_{22}), dB(S_{32}), dB(S_{42}), dB(S_{13}), dB(S_{23}), dB(S_{33}), dB(S_{43}), dB(S_{14}), dB(S_{24}), dB(S_{34}), dB(S_{44}).$

More About

expand all

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

eggCrate

Description

Creation

Syntax

Description

Properties

`Element` — Vivaldi antenna
`vivaldi` (default) | `vivaldiOffsetCavity`

`Size` — Number of rows and columns in array
`[2 2]` (default) | two-element vector

`Gap` — Spacing between Vivaldi antenna elements
`[0 0]` (default) | two-element vector

`FeedVoltage` — Voltage applied to feed
`1` (default) | positive scalar | real positive vector

`FeedPhase` — Phase shift for each element in array
`0` (default) | real scalar | real vector

`Tilt` — Tilt angle of array
`0` (default) | numeric scalar | numeric vector

`TiltAxis` — Tilt axis of array
`[1 0 0]` (default) | three-element vector | 2-by-3 matrix | `"X"` | `"Y"` | `"Z"`

`SolverType` — Solver for antenna analysis
`"MoM"` (default) | `"MoM-PO"` | `"FMM"`

Object Functions

Examples

Plot Radiation Pattern of Default Egg-Crate Array

Create Egg-Crate Array and Plot Radiation Pattern

Create Egg Crate Array and Plot Impedance of all Elements

More About

NumElements

References

Version History

See Also

Objects

Topics

eggCrate

Description

Creation

Syntax

Description

Properties

Element — Vivaldi antenna vivaldi (default) | vivaldiOffsetCavity

Size — Number of rows and columns in array [2 2] (default) | two-element vector

Gap — Spacing between Vivaldi antenna elements [0 0] (default) | two-element vector

FeedVoltage — Voltage applied to feed 1 (default) | positive scalar | real positive vector

FeedPhase — Phase shift for each element in array 0 (default) | real scalar | real vector

Tilt — Tilt angle of array 0 (default) | numeric scalar | numeric vector

TiltAxis — Tilt axis of array [1 0 0] (default) | three-element vector | 2-by-3 matrix | "X" | "Y" | "Z"

SolverType — Solver for antenna analysis "MoM" (default) | "MoM-PO" | "FMM"

Object Functions

Examples

Plot Radiation Pattern of Default Egg-Crate Array

Create Egg-Crate Array and Plot Radiation Pattern

Create Egg Crate Array and Plot Impedance of all Elements

More About

NumElements

References

Version History

See Also

Objects

Topics

`Element` — Vivaldi antenna
`vivaldi` (default) | `vivaldiOffsetCavity`

`Size` — Number of rows and columns in array
`[2 2]` (default) | two-element vector

`Gap` — Spacing between Vivaldi antenna elements
`[0 0]` (default) | two-element vector

`FeedVoltage` — Voltage applied to feed
`1` (default) | positive scalar | real positive vector

`FeedPhase` — Phase shift for each element in array
`0` (default) | real scalar | real vector

`Tilt` — Tilt angle of array
`0` (default) | numeric scalar | numeric vector

`TiltAxis` — Tilt axis of array
`[1 0 0]` (default) | three-element vector | 2-by-3 matrix | `"X"` | `"Y"` | `"Z"`

`SolverType` — Solver for antenna analysis
`"MoM"` (default) | `"MoM-PO"` | `"FMM"`