2.2. Convolution Directivity Model (CDM)

Demos related to the CDM.

2.2.1. Demo: PalLineSrc_CDM_Demo1.m

Compares the directivity of the audio sound generated by a PAL using the CDM.

2.2.1.1. Examples

Parameters and the codes for each example are given as follows.

2.2.1.1.1. Example 1

Variable	Value
Aperture size (half-width)	10 cm
Source profile	Uniform (piston source)
Source shape	Line
Audio frequency	4 kHz
Ultrasound frequency	40 kHz

prf = SrcProfile('name', 'uniform');
src = LineSrc('radius', 0.1, 'prf', prf);
pal = PalSrc('audio_freq', 4e3, 'ultra_freq', 40e3, 'src', src);

2.2.1.1.2. Example 2

Variable	Value
Aperture size (half-width)	5 cm
Source profile	Steerable with an angle of \(15^\circ\)
Source shape	Line
Audio frequency	1 kHz
Ultrasound frequency	40 kHz

prf = SrcProfile('name', 'steerable', 'phi', 15/180*pi);
src = LineSrc('radius', 0.05, 'prf', prf);
pal = PalSrc('audio_freq', 1e3, 'ultra_freq', 40e3, 'src', src);

2.2.2. Demo: PalPlanarSrc_CDM_Demo1.m

Calculate the directivity of the audio sound generated by a planar PAL in a 3D radiation problem using the CDM.

2.2.2.1. Examples

Parameters and the codes for each example are given as follows.

2.2.2.1.1. Example 1

Variable	Value
Aperture size (half-width)	10 cm
Source profile	Uniform (piston source)
Source shape	Circle
Audio frequency	4 kHz
Ultrasound frequency	40 kHz

prf = SrcProfile('name', 'uniform');
src = CircSrc('radius', .1, 'prf', prf);
pal = PalSrc('audio_freq', 4e3, 'ultra_freq', 40e3, 'src', src);

2.2.2.1.2. Example 2

Variable	Value
Half width in the \(x\)-direction	\(a_x = 0.1\) m
Half width in the \(y\)-direction	\(a_y = 0.05\) m
Source profile	Steerable with an angle pair of \((15^\circ, 0^\circ)\)
Source shape	Rectangle
Audio frequency	1 kHz
Ultrasound frequency	40 kHz

prf = SrcProfile('name', 'steerable', 'phi', 0, 'theta', 15/180*pi);
src = RectSrc('prf', prf, 'ax', 0.1, 'ay', 0.05);
pal = PalSrc('audio_freq', 1e3, 'ultra_freq', 40e3, 'src', src);