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180 CHAPTER 5. SMALL-SCALE AIR-SEA INTERACTION<br />

5.1.7 Combined slope/height measurements of short wind waves : ISHG<br />

Participating scientists Roland Rocholz, Martin Schmidt<br />

Abstract A new technique for the simultaneous measurement of wave height and wave slope of<br />

water surface waves has been developed. The Imaging Slope/Height Gauge (ISHG) is an imaging<br />

system that is designed to measure waves at different length scales. Using a high speed camera, the<br />

high spatiotemporal resolution provides an insight into hydrodynamic processes such as microscale<br />

wave breaking and small scale wave-wave interaction.<br />

f 2<br />

high speed camera<br />

(lens set to infinity)<br />

lens (L 2 ) for telecentric<br />

imaging (f 2 = 50 cm)<br />

water body<br />

lens (L 1 ) for telecentric<br />

illumination (f 1 = 25 cm)<br />

diffusing screen<br />

rays are only<br />

for illustration<br />

(entrance pupil of the<br />

camera lies at the focal<br />

point of lens L 2 )<br />

f 2 (mean water height is at<br />

focal distance to L 2 )<br />

water height<br />

(6 to 16 cm)<br />

f 1 (diffusing screen is at<br />

focal distance to L 1 )<br />

programmable LED-array<br />

(320x1W, λ = 880nm)<br />

Figure 5.7: Sketch of the wave imaging system<br />

for the simultaneous measurement of waves height<br />

and slope.<br />

Background Since water surface waves<br />

strongly influence transfer velocities due to the<br />

induced turbulence, such wave measurements are<br />

used for monitoring the conditions in gas exchange<br />

experiments. Unfortunately, the slope calibration<br />

of typical imaging wave measurement techniques<br />

like the color imaging slope gauge used at the<br />

Heidelberg Aeolotron so far is depending on the<br />

wave height of larger waves. To overcome this<br />

source of systematic errors, a new technique is<br />

under development with the following aims:<br />

• The slope of the waves should be measured<br />

without biases due to the wave height<br />

• The image size should not change with wave<br />

height<br />

• The wave slope and height should be measured<br />

simultaneously<br />

• Simple set-up with a single camera<br />

Funding DFG, Ja395/13: ”Mechanismen des<br />

Gasaustausches zwischen Atmosphäre und Ozean:<br />

Laborversuche und Modellierung”<br />

Methods and results Like the color imaging<br />

slope gauge the slope measurement of the new<br />

Imaging Slope/Height Gauge (ISHG) is based on<br />

light refraction (shape from refraction) and makes<br />

use of an area-extended light source with defined<br />

spatial variation of radiance, produced by a programmable<br />

LED array. This Imaging Slope Gauge<br />

gives a 2-D slope map of the water surface. The<br />

Imaging Height Gauge gives the 2-D height map.<br />

This is also used to correct the slope map for<br />

height dependencies. The method is based on<br />

light absorption and works with light in the near<br />

infrared range. The optical setup provides a telecentric<br />

imaging. The camera is virtually located<br />

at infinity so that height variations of the water<br />

surface do not affect the image scaling.<br />

Outlook/Future work The ISHG system at<br />

our small wind wave flume is still under construction.<br />

The calibration and first wave measurements<br />

are expected to take place at the end of year 2005.<br />

It is planned to assemble the same system at the<br />

wind-wave tank of the University of Hamburg and<br />

at the wind-wave facility AEOLOTRON, University<br />

of Heidelberg. Combining the ISHG with infrared<br />

imaging will be the next step of extending<br />

the system.<br />

Main publication Jähne et al. [2005c]

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