Along-beam bin center separation: Difference between revisions

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For ADCPs, the <math>Z</math>-axis in instrument coordinates is commonly defined along the axis of the ADCP pressure case. The velocity data are commonly given in terms of this <math>Z</math>-coordinate. For a vertical beam, the along beam bin center separation (<math>r_0</math>) is given by:
For ADCPs, the <math>Z</math>-axis in instrument coordinates is commonly defined along the axis of the ADCP pressure case. The velocity data are commonly given in terms of this <math>Z</math>-coordinate. For a vertical beam, the along beam bin center separation (<math>r_0</math>) is given by:


<math>r_0 = \Delta Z</math>
<math>\delta r_0 = \delta z</math>


where <math>\Delta Z</math> is the separation between the bins along the Z-axis
where <math>\delta z</math> is the distance between bin-centers along the <math>Z</math>-axis.


For diverging beams, the along beam bin center separation (<math>r_0</math>) is given by:
For diverging beams, the along beam bin center separation (<math>r_0</math>) is given by:


<math>r_0 = \frac{\Delta Z}{\cos\theta}</math>
<math>\delta r_0 = \frac{\delta z}{\cos\theta}</math>


where <math>\theta</math> is the angle of the diverging beams with the <math>Z</math>-axis.
where <math>\theta</math> is the angle of the diverging beams with the <math>Z</math>-axis.
[[File:SF atomix ADCP.png|frame| Schematic of ADCP and its beams, showing the difference between the vertical co-ordinate <math> z </math> and the along-beam radial distances <math> r </math>]]
[[Category:Velocity profilers]]
Go back to [[Processing your ADCP data using structure function techniques | Compute structure functions and dissipation estimates]]

Latest revision as of 10:41, 10 December 2021


For ADCPs, the [math]\displaystyle{ Z }[/math]-axis in instrument coordinates is commonly defined along the axis of the ADCP pressure case. The velocity data are commonly given in terms of this [math]\displaystyle{ Z }[/math]-coordinate. For a vertical beam, the along beam bin center separation ([math]\displaystyle{ r_0 }[/math]) is given by:

[math]\displaystyle{ \delta r_0 = \delta z }[/math]

where [math]\displaystyle{ \delta z }[/math] is the distance between bin-centers along the [math]\displaystyle{ Z }[/math]-axis.

For diverging beams, the along beam bin center separation ([math]\displaystyle{ r_0 }[/math]) is given by:

[math]\displaystyle{ \delta r_0 = \frac{\delta z}{\cos\theta} }[/math]

where [math]\displaystyle{ \theta }[/math] is the angle of the diverging beams with the [math]\displaystyle{ Z }[/math]-axis.


Schematic of ADCP and its beams, showing the difference between the vertical co-ordinate [math]\displaystyle{ z }[/math] and the along-beam radial distances [math]\displaystyle{ r }[/math]

Go back to Compute structure functions and dissipation estimates