The following isn't meant to degrade or disparage you; merely to educate you some.
The word "lit" is the past-tense of "light" - ie: "Light that light bulb, please." vs. "The light bulb was lit." - understand?
Thank you so much for the correction. As you may know, english is my second language.
Your idea works better with a LED since the current requirement is constant whereas the current in the lamp is high at first when the filament is cold.
Yes, but I'm mainly interested to light a bulb instead of a LED. But your comment can help me in a future.
The idea has a major flaw. Each subsequent time the switch is closed, the current through the LED is smaller because each pulse leaves less charge in the capacitor. Look at the plots of the remaining capacitor voltage, and the current though the LED each time the switch closes....
Yes, after thinking a bit about the comment I made, I thought about that.
Maybe the solution for that would be to use only the first portion of energy to light the bulb and then recharge the cap again?
I mean, to charge a cap with 15Volts (for example) and then use only the first pulse to light the bulb. This first pulse is using only a part of the energy stored in the cap.
After using the first (and unique) portion of the energy of the cap, the cap is re-charged again to full it with energy. Then the operation is repeated again and again. Instead of using all the energy in the cap pulsing all the energy stored in it (I mean to pulse the cap up to the cap is empty), use only the first pulse (the more energetic one) and then recharge the cap.
But here there is a second question....
Is useful or there is any problem if I try to recharge the cap without discharging all the energy stored in it?
If I use the first part of the energy of the cap, then there is still energy in the cap while the cap is recharging.