How Do You Calculate Light Absorption by Water Per Unit Depth?

AI Thread Summary
To calculate light absorption by water per unit depth, the absorption coefficient (alpha) is essential, which varies with the wavelength of light. For visible light, absorption is low, while it is significantly higher for UV and infrared light. The absorbance (A) can be determined by multiplying the absorption coefficient by the thickness of the water layer in centimeters. The intensity of light decreases according to the formula I = I0 * exp(-A) or I = I0 * 10^(-A), depending on the expression of alpha. Understanding these principles is crucial for accurately modeling light behavior in aquatic environments.
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Homework Statement


I am currently doing a biology honours project at university and have been stumped by a fairly basic physics hurdle. I need to know the equation to calculate the amount of light absorbed by water/unit depth. I have tried to find the equation all over but cannot find anything. I am sure i did this in A-Level physics but i really can't remember -_-

Any help would be greatly appreciated
Thanks


Homework Equations





The Attempt at a Solution

 
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The light absorption in water depends on the wavelenght of the light. It is fairly law for the visible light but strong for UV and infrared. See at
http://upload.wikimedia.org/wikipedia/en/7/72/Water_absorption_spectrum.png .

If you have the absorption coefficient alpha in reciprocal centimeters, multiply it by the thickness (in cm units) and you get the "absorbance" (A) of the water layer of the given thickness. The intensity of the light decreases with the ratio exp(-A) or 10-A, depending on the way alpha was given.
If the intensity of the incident light is I0, it decreases to I0*10-A after traveling through a distance d in water.

ehild
 
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