Question about power broadening

[kelly0303]

Hello! If I have an atomic ensemble (say in a cell) with a Doppler broadened linewidth of 10 MHz and I have a laser of fixed linewidth of 1 MHz. If I keep the laser frequency fixed on the center of the atomic transition (say that I measure the laser transmission), I would see a peak of 1 MHz linewidth, but only 10% of the atoms will interact with the laser (I assume that anything beyond 1 linewidth doesn't interact just to simplify the question). If I increase the power of the laser a lot, I will have power broadening. If that makes the effective linewidth 10 MHz, does it mean that now I would see a transmitted line of 10 MHz linewidth and the laser will interact with all the atoms in the cell? Thank you!