Plant action spectra (growth vs spectral light content) has been measured a lot for non-aquatic plants. Little study has been devoted to the aquatic species, except algae.
Aquatic plants still use the same chlorophylls for photosynthesis, so the action spectra peaks in the red and deep blue are no doubt pretty much the same.
The A and B chlorophyll have broad spectra that overlap in the center of the visible spectrum, where our eyes are most sensitive. That overlap is a huge dip in their growth curve, though. The strong peaks in blue and red, where out eye's visual sensitivity and acuity are worst, are where our sensitivity is down to about 10% of what we sense in green. [Note that many if not most plants reflect away the green light they don't use efficiently.]
Amano's use of green has little or nothing to do with photosynthesis. It is a color that you, as a human, can focus on better and see as brighter. Period.
Red, by the way, is not "all gone" at 5M depth. At 3M, about 44% has been absorbed, so most observers see a definite blue tint. <http://www.dartmouth.edu/~etrnsfer/water.htm> A 3M-deep swimming pool made with white plaster will look quite bluish from the 6M of round-trip transmission, but there is still lots of remaining red so that it is a very pastel blue, not a deep color at all.
[The color of water in a white bucket was a raging thread for months on the Aquatic Plants Digest. It is still a favorite "in" joke, there.]
In any reasonable tank depth, the loss of red is totally negligible, so forget that old myth. Light loss with depth is due to shadowing of higher-up plants. Any light entering the undisturbed surface of a bare tank is totally internally reflected by clean tank walls, so at 1M depth, a light meter will see virtually no loss (less than 2%, probably).
For an aquarium, we need all of the spectrum. The red and blue ends of the spectrum contribute considerably more to photosynthesis, but the central green is needed to make it look bright and sharp to our eyes.
We also don't focus as well in the spectral ends, because we suffer about 1/8 diopter of chromatic aberration in a normal eye. We are so accustomed to red and blue not being in good focus that we tend to ignore it. [Display designers ignore it at their peril!]
It is more likely to produce good illumination if you use red, green and blue LEDs to get the kind of white you find pleasing and still enough red and blue for good photosynthesis. The "white" LEDs are usually blue with a phosphor, and they will give you no spectral control, like mixing RGB LEDs will. Overall, I suspect they are less efficient, too.
An LED is a non-linear device that is current activated. It is a serious mistake to use a Voltage supply to drive them, for you must then use a resistor (wasting energy) to limit the current. Plan to use a high-impedance driver circuit for each LED, if you don't want to add unneeded heat to the tank.
Wright
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