Laser#

class Laser(options)#

Bases: matlab.mixin.Heterogeneous, handle

Laser specifies monochromatic laser parameters and derived quantities.

Stores wavelength/frequency, polarization, direction/angles, phase, intensity and power. Provides dependent properties (e.g., Wavevector, AngularFrequency) and helpers (spacePhaseFunc(), timePhaseFunc(), spaceTimePhaseFunc(), rotate(), rotateToAngle()).

Example:

l = Laser(frequency=3.84e14, polarization=[1;0;0], direction=[0;0;1]);
k = l.AngularWavevector;  % [rad/m]
f = l.timePhaseFunc();    % function_handle for :math:`e^{i \omega t}`

Constructor Summary

Laser(options)#

Construct a Laser.

Parameters:

frequency (double, optional) – Linear frequency \(f\) [Hz] (sets \(\lambda\))
wavelength (double, optional) – Wavelength \(\lambda\) [m] (sets \(f\))
polarization (double(3,1), optional) – Jones vector \((E_x,E_y,E_z)\)
phase (double, optional) – Optical phase \(\phi\) [rad]
direction (double(3,1), optional) – Propagation direction unit vector \((x,y,z)\)
angle (double(1,2), optional) – Spherical angles \((\theta,\phi)\) [rad]
intensity (double, optional) – Intensity \(I\) [W/m^2]
power (double, optional) – Power \(P\) [W]

Property Summary

Angle (1,2) double = [0,0]#: Spherical angles \((\theta,\phi)\) in [rad]

AngularFrequency#: \(\omega = 2\pi f\) [rad/s]

AngularWavenumber#: \(k = 2\pi/\lambda\) [rad/m]

AngularWavevector#: \(\mathbf{k} = k\, \hat{\mathbf{k}}\) [rad/m]

Direction (3,1) double = [0;0;1]#: Propagation unit vector \(\hat{\mathbf{k}} = (x,y,z)\)

ElectricFieldAmplitude#: Field amplitude \(|E| = \sqrt{2 Z_0 I}\) in [V/m]

Frequency (1,1) double = NaN#: Linear frequency \(f\) in [Hz]

Intensity double = NaN#: Intensity \(I\) in [W/m^2]

IntensityLu#: Intensity in [mW/cm^2]

Phase (1,1) double = 0#: Optical phase \(\phi\) in [rad]

Polarization (3,1) double = [1;0;0]#: Jones polarization vector \((E_x,E_y,E_z)\). The definition here is the conjugate of wiki’s

Power double = NaN#: Optical power \(P\) in [W]

Wavelength (1,1) double = NaN#: Wavelength \(\lambda\) in [m]

WavelengthInAir#: \(\lambda_{\mathrm{air}}\) in [m]

Wavenumber#: \(k_0 = 1/\lambda\) [1/m]

Wavevector#: \(\mathbf{k}_0 = k_0\, \hat{\mathbf{k}}\) [1/m]

Method Summary

rotate(eul)#

Rotate direction and polarization by ZYZ Euler angles.

Parameters:: eul (double(1,3)) – Euler angles \([\alpha,\beta,\gamma]\) (ZYZ) in radians
Returns:: Self-reference
Return type:: Laser

rotateToAngle(angle)#

Rotate to target spherical angles \([\theta,\phi]\).

Parameters:: angle (double(1,2)) – \([\theta,\phi]\) in radians
Returns:: Self-reference
Return type:: Laser

spacePhaseFunc()#

Build \(e^{i(\phi - \mathbf{k}\cdot \mathbf{r})}\) phase function of space.

Returns:: function handle mapping position \(\mathbf{r}\) to phase factor
Return type:: function_handle

spaceTimePhaseFunc()#

Build \(e^{i(\omega t + \phi - \mathbf{k}\cdot \mathbf{r})}\) phase function.

Returns:: function handle mapping (\(\mathbf{r},t\)) to phase factor
Return type:: function_handle

timePhaseFunc()#

Build \(e^{i \omega t}\) phase function of time.

Returns:: function handle mapping \(t\) to phase factor
Return type:: function_handle