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raypl

Path loss and phase change for RF propagation ray

Description

[pl,phase] = raypl(ray) returns the path loss and phase shift for the specified RF propagation ray. The function calculates the path loss and phase shift using free space loss and reflection loss derived from the propagation path, reflection materials, and antenna polarizations.

By default, the raypl function assumes the antennas are unpolarized. You can polarize the antennas by specifying the TransmitterPolarization and ReceiverPolarization name-value arguments.

The raypl function overrides the materials that are stored in ray. By default, the function uses concrete materials. To specify other materials, use the ReflectionMaterials argument.

For more information about the path loss computations, see Path Loss Computation.

example

[pl,phase] = raypl(ray,Name=Value) specifies options using name-value arguments. For example, ReflectionMaterials="brick" specifies the reflection material as brick.

example

Examples

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Change the reflection materials and frequency for a ray, and then reevaluate the path loss and phase shift.

Launch Site Viewer with buildings in Hong Kong. For more information about the OpenStreetMap® file, see [1].

viewer = siteviewer(Buildings="hongkong.osm");

Create transmitter and receiver sites.

tx = txsite(Latitude=22.2789,Longitude=114.1625, ...
    AntennaHeight=10,TransmitterPower=5, ...
    TransmitterFrequency=28e9);
rx = rxsite(Latitude=22.2799,Longitude=114.1617, ...
    AntennaHeight=1);

Create a ray tracing propagation model, which MATLAB® represents using a RayTracing object. Configure the model to use the image method and to find paths with up to 2 surface reflections. Then, perform the ray tracing analysis.

pm = propagationModel("raytracing", ...
    Method="image", ...
    MaxNumReflections=2);
rays = raytrace(tx,rx,pm);

Find the first ray with two path reflections. Then, display the properties of the ray object.

idx = find([rays{1}.NumInteractions] == 2,1);
ray = rays{1}(idx)
ray = 
  Ray with properties:

      PathSpecification: 'Locations'
       CoordinateSystem: 'Geographic'
    TransmitterLocation: [3×1 double]
       ReceiverLocation: [3×1 double]
            LineOfSight: 0
           Interactions: [1×2 struct]
              Frequency: 2.8000e+10
         PathLossSource: 'Custom'
               PathLoss: 121.8592
             PhaseShift: 4.5605

   Read-only properties:
       PropagationDelay: 8.3060e-07
    PropagationDistance: 249.0068
       AngleOfDeparture: [2×1 double]
         AngleOfArrival: [2×1 double]
        NumInteractions: 2

Display the ray in Site Viewer.

plot(ray)

Propagation path with two reflections

By default, the model uses concrete for the terrain material and uses building materials derived from the OpenStreetMap file. When the OpenStreetMap file does not specify materials, the model uses concrete. In this case, the ray encounters concrete as the material. You can find the interaction materials by querying the Interactions property of the ray object.

ray.Interactions.MaterialName
ans = 
"concrete"
ans = 
"concrete"

You can calculate the path loss for different materials by using the raypl function. For this example, use metal for the first reflection and glass for the second reflection.

[ray.PathLoss,ray.PhaseShift] = raypl(ray,ReflectionMaterials=["metal","glass"]);
ray
ray = 
  Ray with properties:

      PathSpecification: 'Locations'
       CoordinateSystem: 'Geographic'
    TransmitterLocation: [3×1 double]
       ReceiverLocation: [3×1 double]
            LineOfSight: 0
           Interactions: [1×2 struct]
              Frequency: 2.8000e+10
         PathLossSource: 'Custom'
               PathLoss: 114.9541
             PhaseShift: 4.5605

   Read-only properties:
       PropagationDelay: 8.3060e-07
    PropagationDistance: 249.0068
       AngleOfDeparture: [2×1 double]
         AngleOfArrival: [2×1 double]
        NumInteractions: 2

Display the recalculated ray. The slight change in color indicates the change in path loss.

plot(ray)

The same propagation path in a different color

Change the frequency of the ray. Then, recalculate the path loss and phase shift. Display the ray again and observe the color change.

ray.Frequency = 2e9;
[ray.PathLoss,ray.PhaseShift] = raypl(ray,ReflectionMaterials=["metal","glass"]);
plot(ray)

The same propagation path in a different color

Appendix

[1] The OpenStreetMap file is downloaded from https://www.openstreetmap.org, which provides access to crowd-sourced map data all over the world. The data is licensed under the Open Data Commons Open Database License (ODbL), https://opendatacommons.org/licenses/odbl/.

Calculate the path losses and phase shifts between co-polarized antennas and polarization-mismatched antennas, including cross-polarized antennas. For some polarization types, the phase shift calculated by the raypl function depends on the convention you use to specify the polarization.

Create a line-of-sight ray in an empty scene with Cartesian coordinates. Place the transmitter and receiver at locations along the x-axis.

ray = comm.Ray(TransmitterLocation=[0; 0; 0],ReceiverLocation=[10; 0; 0]);

Co-Polarized Antennas

Calculate the path losses and phase shifts for co-polarized antennas. When two antennas are co-polarized, the path loss includes zero loss that results from polarization mismatch.

Circular Polarization

When two antennas are both left-hand circular polarized (LHCP) or both right-hand circular polarized (RHCP), the antennas are co-polarized.

Calculate the path losses and phase shifts for co-polarized antennas with these polarization combinations:

  • Both antennas are left-hand circular polarized.

  • Both antennas are right-hand circular polarized.

[pl1,phase1] = raypl(ray,TransmitterPolarization="LHCP",ReceiverPolarization="LHCP")
pl1 = 
58.0229
phase1 = 
2.3699
[pl2,phase2] = raypl(ray,TransmitterPolarization="RHCP",ReceiverPolarization="RHCP")
pl2 = 
58.0229
phase2 = 
2.3699

Note that the path losses and phase shifts are equal.

Linear Polarization

When two linearly polarized antennas are aligned so that their polarization axes are parallel, the antennas are co-polarized. While the path loss includes zero loss that results from polarization mismatch, the phase shift depends on the convention you use to specify the polarization.

Calculate the path loss and phase shift for co-polarized antennas with these polarization combinations.

  • Both antennas are vertically polarized. The polarization type "V" corresponds to the Jones vector [0; 1].

  • Both antennas are horizontally polarized. The polarization type "H" corresponds to the Jones vector [1; 0].

[pl3,phase3] = raypl(ray,TransmitterPolarization="V",ReceiverPolarization="V")
pl3 = 
58.0229
phase3 = 
2.3699
[pl4,phase4] = raypl(ray,TransmitterPolarization="H",ReceiverPolarization="H")
pl4 = 
58.0229
phase4 = 
5.5115

Note that the path losses are equal, but that the phase shifts differ by π radians. The phase shifts are different because the raypl function expects you to define the polarization of the receive antenna as if it were transmitting. To follow this convention, rotate the horizontal component of the receiver polarization by π radians. This combination is analogous to two parallel horizontal dipoles, which have a phase shift of π radians unless you rotate the receiving horizontal dipole by π radians.

Calculate the path loss and phase shift for the horizontally polarized antennas again, this time using the convention expected by raypl.

txPol5 = "H"; % corresponds to [1; 0]
rxPol5 = [-1; 0];
[pl5,phase5] = raypl(ray,TransmitterPolarization=txPol5,ReceiverPolarization=rxPol5)
pl5 = 
58.0229
phase5 = 
2.3699

Note that the phase shift now matches the phase shifts for the vertically polarized, LHCP, and RHCP antennas.

Slanted Dipoles

Calculate the path loss and phase shift for co-polarized slanted dipoles, where both the transmit antenna and the receive antenna are rotated by 45 degrees around the perpendicular axis through both antennas. Following the same polarization convention as for the horizontally polarized antennas, specify the horizontal component of the receiver polarization as π radians relative to the transmitting polarization.

txPol6 = [1; 1]/sqrt(2);
rxPol6 = [-1; 1]/sqrt(2);
[pl6,phase6] = raypl(ray,TransmitterPolarization=txPol6,ReceiverPolarization=rxPol6)
pl6 = 
58.0229
phase6 = 
2.3699

Note that the phase shift matches the phase shifts for the vertically polarized, LHCP, and RHCP antennas.

Polarization-Mismatched Antennas

When two antennas have mismatched polarization, the path loss includes non-zero loss as a result of polarization mismatch.

Calculate the path loss for antennas with mismatched polarization, where the transmit antenna is horizontally polarized and the receive antenna is rotated by 45 degrees around the perpendicular axis through both antennas. The combination corresponds to a horizontal dipole and a slanted 45-degree dipole.

txPol7 = "H"; % corresponds to [1; 0]
rxPol7 = [1; 1]/sqrt(2);
pl7 = raypl(ray,TransmitterPolarization=txPol7,ReceiverPolarization=rxPol7)
pl7 = 
61.0332

Note that the path loss is approximately 3 decibels more than the path loss for the co-polarized antennas. This difference is due to only half the power being received.

Cross-Polarized Antennas

When two polarized antennas are aligned so that their polarization axes are orthogonal, they are cross-polarized. When two antennas are cross-polarized, the path loss is theoretically infinite.

Calculate the path losses for cross-polarized antennas with these polarization combinations.

  • The transmit antenna is horizontally polarized. The receive antenna is vertically polarized.

  • The transmit antenna is right-hand circular polarized. The receive antenna is left-hand circular polarized.

  • The transmit antenna is left-hand circular polarized. The receive antenna is right-hand circular polarized.

  • The antennas are cross-polarized slanted dipoles. Note that, per the polarization convention, antennas are cross-polarized when both the transmitter and receiver are slanted dipoles with the same polarization in a direction toward each other.

pl8 = raypl(ray,TransmitterPolarization="H",ReceiverPolarization="V")
pl8 = 
Inf
pl9 = raypl(ray,TransmitterPolarization="RHCP",ReceiverPolarization="LHCP")
pl9 = 
Inf
pl10 = raypl(ray,TransmitterPolarization="LHCP",ReceiverPolarization="RHCP")
pl10 = 
Inf
txPol11 = [1; 1]/sqrt(2);
rxPol11 = [1; 1]/sqrt(2);
pl11 = raypl(ray,TransmitterPolarization=txPol11,ReceiverPolarization=rxPol11)
pl11 = 
Inf

Input Arguments

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RF propagation ray, specified as a comm.Ray object. The PathSpecification property of the object must be "Locations". All interactions in the Interactions property of the ray must be of type "Reflection".

Data Types: comm.Ray

Name-Value Arguments

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Specify optional pairs of arguments as Name1=Value1,...,NameN=ValueN, where Name is the argument name and Value is the corresponding value. Name-value arguments must appear after other arguments, but the order of the pairs does not matter.

Example: raypl(ray,TransmitterPolarization="H",ReceiverPolarization="H"), specifies the horizontal polarizations for the transmit and receive antennas for ray.

Before R2021a, use commas to separate each name and value, and enclose Name in quotes.

Example: raypl(ray,"TransmitterPolarization","H","ReceiverPolarization","H"), specifies the horizontal polarizations for the transmit and receive antennas for ray.

Reflection materials for a non-line-of-sight (NLOS) ray, specified as a string scalar, a 1-by-NR string vector, a character vector, a 1-by-NR cell array of character vectors, a 2-by-1 numeric vector, or a 2-by-NR numeric matrix. NR is the number of reflections stored in ray.

When you specify one reflection material, the reflection material applies to all the reflections. When you specify multiple reflection materials, each material applies to the associated reflection point in ray.

  • To use predefined reflection materials, specify ReflectionMaterials as a string scalar, a character vector, a string vector, or a cell array of character vectors. Specify each reflection material as one of these options:

    • "concrete" — Concrete

    • "plasterboard" — Plasterboard

    • "ceiling-board" — Ceiling board

    • "chipboard" — Chipboard

    • "floorboard" — Floorboard

    • "brick" — Brick

    • "wood" — Wood

    • "glass" — Glass

    • "metal" — Metal

    • "marble" — Marble (since R2024a)

    • "plywood" — Plywood (since R2024a)

    • "water" — Water

    • "vegetation" — Vegetation

    • "loam" — Loam

    • "PEC" — Perfect electrical conductor

  • To use custom reflection materials, specify a 2-by-1 numeric vector or a 2-by-NR numeric matrix. Each column is of the form [rp; cv], where rp is the relative permittivity and cv is the conductivity.

For more information, see Permittivity and Conductivity Values for Common Materials.

Example: ReflectionMaterials=["concrete","water"], specifies that a ray with two reflections uses the electrical characteristics of concrete at the first reflection point and water at the second reflection point.

Data Types: string | char | double

Transmit antenna polarization type, specified as one of these values:

  • "none" — Unpolarized

  • "V" — Linearly polarized in the vertical (θ) direction

  • "H" — Linearly polarized in the horizontal (φ) direction

  • "LHCP" — Left-hand circular polarized

  • "RHCP" — Right-hand circular polarized

  • A normalized 2-by-1 Jones vector (also called a polarization matrix) of the form [H;V], where H is the horizontal component and V is the vertical component.

For more information about polarization types and Jones vectors, see Jones Vector Notation.

Example: TransmitterPolarization="RHCP" specifies right-hand circular polarization for the transmit antenna.

Data Types: double | char | string

Receive antenna polarization type, specified as one of these values:

  • "none" — Unpolarized

  • "V" — Linearly polarized in the vertical (θ) direction

  • "H" — Linearly polarized in the horizontal (φ) direction

  • "LHCP" — Left-hand circular polarized

  • "RHCP" — Right-hand circular polarized

  • A normalized 2-by-1 Jones vector (also called a polarization matrix) of the form [H;V], where H is the horizontal component and V is the vertical component.

Starting in R2026a, specify the polarization type as if the antenna were transmitting, regardless of whether the antenna is a transmitter or a receiver. This convention is consistent with [5].

For more information about polarization types and Jones vectors, see Jones Vector Notation.

Example: ReceiverPolarization=[1;0] specifies horizontal polarization for the receive antenna by using Jones vector notation.

Data Types: double | char | string

Orientation of the transmit antenna axes, specified as a 3-by-3 unitary matrix indicating the rotation from the transmitter local coordinate system (LCS) into the global coordinate system (GCS). When the CoordinateSystem property of the comm.Ray is set to "Geographic", the GCS orientation is the local East-North-Up (ENU) coordinate system at transmitter. For more information, see Coordinate System Orientation.

Example: TransmitterAxes=eye(3), specifies that the local coordinate system for the transmitter axes is aligned with the global coordinate system. This is the default orientation.

Data Types: double

Orientation of the receive antenna axes, specified as a 3-by-3 unitary matrix indicating the rotation from the receiver local coordinate system (LCS) into the global coordinate system (GCS). The GCS orientation is the local East-North-Up (ENU) coordinate system at receiver when the CoordinateSystem property of the comm.Ray is set to "Geographic". For more information, see Coordinate System Orientation.

Example: ReceiverAxes=[0 -1 0; 1 0 0; 0 0 1], specifies a 90° rotation around the z-axis of the local receiver coordinate system with respect to the global coordinate system.

Data Types: double

Output Arguments

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Path loss in dB, returned as a nonnegative scalar.

Data Types: double

Phase shift in radians, returned as a scalar. The raypl function uses the e-iωt time convention.

Data Types: double

More About

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References

[1] Chipman, Russell A., Garam Young, and Wai Sze Tiffany Lam. "Fresnel Equations." In Polarized Light and Optical Systems. Optical Sciences and Applications of Light. Boca Raton: Taylor & Francis, CRC Press, 2019.

[2] International Telecommunications Union Radiocommunication Sector. Effects of Building Materials and Structures on Radiowave Propagation Above About 100MHz. Recommendation P.2040. ITU-R, approved August 23, 2023. https://www.itu.int/rec/R-REC-P.2040/en.

[3] International Telecommunications Union Radiocommunication Sector. Electrical Characteristics of the Surface of the Earth. Recommendation P.527. ITU-R, approved September 27, 2021. https://www.itu.int/rec/R-REC-P.527/en.

[4] Mohr, Peter J., Eite Tiesinga, David B. Newell, and Barry N. Taylor. “Codata Internationally Recommended 2022 Values of the Fundamental Physical Constants.” NIST, May 8, 2024. https://www.nist.gov/publications/codata-internationally-recommended-2022-values-fundamental-physical-constants.

[5] "IEEE Standard Definitions of Terms for Antennas." IEEE Std 145-2013 (Revision of IEEE Std 145-1993), March 2014, 1–50. https://doi.org/10.1109/IEEESTD.2014.6758443.

Extended Capabilities

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Version History

Introduced in R2020a

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