How can you increase power of a light source?

Question

I've heard that red light is dimmer compared to green light emitted with same power and to if you want to have same intensity of light you have to crank up power of red light. From equation for power $P=\frac{W}{t}$ you can see that to increase power you have to increase energy or decease time, but we can't increase energy because that would change color of the light according to this equation $E=hf$. E.g. in red laser, how can you increase power in it to have the same color?

I feel like missing some important information on this topic.

Answer 1

Lasers are always issued with a maximum output power that they can achieve. But typically, most can operate at almost any power level below that.

So, in your case, if you have a green and a red laser of a certain power, if you want to match their brightness, you will have to tune the red laser to between 3 to 4x the power of the green laser. Or the other way around, have the red laser operate at maximum power and dim the green laser to be 1/4 to 1/3 of the red's power.

Its just that humans are more sensitive to green light than to red light and hence why the same power in red appears much dimmer.

EDIT after question edit: Yes, you are definitely missing a big part of the picture. Photon energy ($E=\hbar \omega$) has nothing to do with the total amount of energy in a light beam. See this differently, the total energy is equal to the total amount of photons of energy $E$. If your source gives off photons of a certain energy, increasing its output power is just increasing the number of photons emitted, not changing their intrinsic frequency.