emission from the cavity when total intensity of MOT laser is varied. Intensities and atoms coupled ($N_c$) are (a) 22 mW/cm$^2$ and $(35 \pm 1) \times 10^3$, (b) 30 mW/cm$^2$ and $(33 \pm 1) \times 10^3$, (c) 36 mW/cm$^2$ and $(29 \pm 1) \times 10^3$, (d) 45 mW/cm$^2$ and $(24 \pm 1) \times 10^3$, (e) 60 mW/cm$^2$ and $(21 \pm 1) \times 10^3$, (f) 75 mW/cm$^2$ and $(23 \pm 1) \times 10^3$ respectively.[]{data-label="motpowgrid"}](peaks_grid_power.pdf){width="14.0cm"}

Fig. \[motpowgrid\] shows how the peaks change when the power of the MOT laser is increased. For very low power the red detuned peak vanishes and when the power in MOT laser is high the blue detuned peak vanishes. Increasing the power increases total atom number but also increases the spatial size of the atomic cloud in MOT. The increase in size is attributed to an increase in temperature of the MOT atoms [@kowalski_magneto-optical_2010; @petrich_behavior_1994; @townsend_phase-space_1995]. The increase in size lowers $N_c$, and as fewer atoms overlap the cavity mode, the rate of fluorescence into the cavity decreases. Here, along with the change in $N_c$, we can expect to see a competition between the light emitted in the cavity mode by the atoms with the stimulated emission 