loopRectangular

Create rectangular loop antenna

Description

The default loopRectangular object is a rectangular loop antenna on the xy- plane resonating around 53.36 MHz.

The thickness of the loop is related to the diameter of an equivalent cylinder loop by the equation

$$t=2d=4r$$

, where:

• d is the diameter of equivalent cylindrical loop

• r is the radius of equivalent cylindrical loop

For a given cylinder radius, use the cylinder2strip utility function to calculate the equivalent width. The default circular loop antenna is fed at the positive y-axis. The point of the y-axis is the midpoint of the inner and outer perimeter of the loop.

Creation

Syntax

lr = loopRectangular

lr = loopRectangular(Name,Value)

Description

lr = loopRectangular creates a rectangular loop antenna in the xy-plane with default property values. By default, the dimensions are chosen for an operating frequency of around 53.36 MHz.

lr = loopRectangular(Name,Value) creates a rectangular loop antenna, with additional properties specified by one, or more name-value pair arguments. Name is the property name and Value is the corresponding value. You can specify several name-value pair arguments in any order as Name1, Value1, ..., NameN, ValueN. Properties not specified retains their default values.

Properties

Length — Loop length along x-axis

2 (default) | scalar

Loop length along x-axis, specified as a scalar in meters.

Example: 'Length',3

Data Types: double

Width — Loop width along y-axis

1 (default) | scalar

Loop width along y-axis, specified as a scalar in meters.

Example: 'Width',2

Data Types: double

Thickness — Loop thickness

0.0100 (default) | scalar

Loop thickness, specified as a scalar in meters.

Example: 'Thickness',2

Data Types: double

Conductor — Type of metal material

'PEC' (default) | metal object

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: m = metal('Copper'); 'Conductor',m

Example: m = metal('Copper'); ant.Conductor = m

Load — Lumped elements

[1x1 lumpedElement] (default) | lumped element object

Lumped elements added to the antenna feed, specified as a lumped element object. For more information, see lumpedElement.

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

Example: lr.Load = lumpedElement('Impedance',75)

Tilt — Tilt angle of antenna

0 (default) | scalar | vector

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

TiltAxis — Tilt axis of antenna

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

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

axialRatio	Calculate and plot axial ratio of antenna or array
bandwidth	Calculate and plot absolute bandwidth of antenna or array
beamwidth	Beamwidth of antenna
charge	Charge distribution on antenna or array surface
current	Current distribution on antenna or array surface
design	Design prototype antenna or arrays for resonance around specified frequency or create AI-based antenna from antenna catalog objects
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
resonantFrequency	Calculate and plot resonant frequency of antenna
returnLoss	Calculate and plot return loss of antenna or scan return loss of array
show	Display antenna, array structures, shapes, or platform
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
wireStack	Create single or multi-feed wire antenna

Examples

Create and View Rectangular Loop Antenna

Create and view a rectangular loop antenna with 0.64m length, 0.64m width.

r = loopRectangular(Length=0.64,Width=0.64)

r = 
  loopRectangular with properties:

       Length: 0.6400
        Width: 0.6400
    Thickness: 0.0100
    Conductor: [1x1 metal]
         Tilt: 0
     TiltAxis: [1 0 0]
         Load: [1x1 lumpedElement]

show(r)

Impedance of Rectangular Loop Antenna

Calculate the impedance of a rectangular loop antenna over a frequency range of 120MHz-140MHz.

r = loopRectangular(Length=0.64,Width=0.64)                 

r = 
  loopRectangular with properties:

       Length: 0.6400
        Width: 0.6400
    Thickness: 0.0100
    Conductor: [1x1 metal]
         Tilt: 0
     TiltAxis: [1 0 0]
         Load: [1x1 lumpedElement]

impedance(r,linspace(120e6,140e6,31))

References

[1] Balanis, C.A. Antenna Theory. Analysis and Design, 3rd Ed. New York: Wiley, 2005.

Version History

Introduced in R2015a