Yes, it is possible to simulate a parametric array using ultrasonic transmitter transducers in MATLAB using the Phased Array System Toolbox.
To assign a single transducer element directional pattern for the phased array, you can use the `phased.IsotropicAntennaElement` object. This object represents a single antenna element with an isotropic radiation pattern, which can be used as a reference for other directional patterns.
Here is an example code snippet that demonstrates how to create an array with an isotropic antenna element:
% Create the isotropic antenna element
isoant = phased.IsotropicAntennaElement('FrequencyRange',[20e3 20e6]);
% Define the array geometry
lambda = physconst('LightSpeed')/20e6; % Wavelength
elementSpacing = lambda/2;
array = phased.ULA('NumElements',10,'ElementSpacing',elementSpacing);
% Assign the isotropic antenna element to each array element
array.Element = isoant;
In this example, we first create an `IsotropicAntennaElement` object with a frequency range of 20 kHz to 20 MHz. We then define the geometry of the array using a 10-element uniform linear array (ULA) with element spacing equal to half of the wavelength at the highest frequency. Finally, we assign the isotropic antenna element to each array element using the `Element` property of the ULA object.
To apply a directional pattern to the phased array, you can use other object types in the `phased` library that represent different types of antenna elements, such as `phased.CosineAntennaElement`, `phased.CustomAntennaElement`, or `phased.ConformalArray`. For example, you can define a directional pattern using the `phased.CosineAntennaElement` object and then assign it to each array element in a similar way:
% Define the directional pattern for the transducer
cosant = phased.CosineAntennaElement('FrequencyRange',[20e3 20e6],...
'AzimuthAngles',-180:180,'Mainlobe','Top','MainlobeDirection',[10 20]);
% Define the array geometry and assign the directional pattern to each element
array = phased.ULA('NumElements',10,'ElementSpacing',elementSpacing);
array.Element = cosant;
In this example, we create a `CosineAntennaElement` object with a frequency range of 20 kHz to 20 MHz, azimuth angles from -180 to 180 degrees, and a mainlobe direction of (10,20) degrees. We then define a ULA geometry with 10 elements and assign the cosine antenna element to each array element using the `Element` property.
I hope this helps you get started with simulating a parametric array using ultrasonic transmitter transducers in MATLAB using the Phased Array System Toolbox.
