## 6 Results and Discussion  
### Organization of Results  
The proposed power distribution model demonstrated results that validated its applicability, while also highlighting some nuanced observations for mobile UOWCs that should not be ignored. We evaluated all scenarios as outlined in Section 5.1, but only showed the more significant results due to space constraints. Figures 6-8 present the spatial distribution of received power for 5 PD arrays in the x-y cartesian plane for the three configurations, F, C25, and C55, for rotations of \(\beta=-90^{\circ}\) to \(\beta=90^{\circ}\) in 30\({}^{\circ}\) increments. Figure 6 shows the results for Jerlov type I for a transmission wavelength of \(\lambda=450\) nm, and Figures 7 and 8 for Jerlov types III and 3C, respectively, for \(\lambda=550\) nm. Figure 9 provides results for the 3 PD arrays, F, C25, and C55, for Jerlov types I, III, and 3C at \(\beta=60^{\circ}\). This rotation angle was specifically chosen to display the trend in the blind spots across the array designs, discussed in Section 6.2.  
Jerlov I and III were provided as they are the two extremes of his oceanic classifications, and Jerlov 3C is provided as the extreme for coastal classification. Results are not provided beyond Jerlov 3C due to very high attenuation coefficients that signify UOWCs may be impractical in these environments. Results are displayed for \(\lambda=450\) nm for Jerlov I and \(\lambda=550\) nm for Jerlov III and 3C in Figures 6-8 due to experiencing the least attenuation in respective water conditions as per Table 3.  
In Figures 6-8, the green line shows the spatial points where SNR \(\approx 0\) dB, and the red line corresponds to SNR \(\approx 10\) dB. This information is helpful to draw comparisons between them and the BER results provided for the 5 PD arrays in Figure 10. In communication theory, it is known that a minimum SNR of 10 dB is required for an NRZ-OOK scheme; hence the red line can be approximated as the region where the NRZ-OOK scheme reaches the FEC limit. Each consecutive white line shows the spatial points of equal received power where the received power decreases beyond a \(10^{-\zeta}\) W limit, where \(\zeta\) is the line number counted from the point of origin, moving away from the emitter.  
Finally, Figure 11 provides 2D snapshots of received power for a pair of select side-by-side vertical displacements for \(\lambda=\{450,\,500,\,550\}\) nm under rotations of \(\beta=\{60^{\circ},\,0^{\circ},\,-60^{\circ}\}\) for Jerlov types I, III, 1C, and 3C. Results for \(\lambda=500\) nm and Jerlov 1C are included in addition to the previous results to support suggestions made in Section 6.2. In the subsequent analysis, we refer to \(\alpha\) as the overall angle of elevation between the PD array and LED.  
Figure 5: Each array is moved within the positive quadrant of a cartesian coordinate plane with the origin centered at the location of the light source. The results are generated for horizontal and vertical displacements.  
Figure 6: \(P_{r_{\text{tot}}}\) for 5 PD arrays at: (**a-c**) \(\beta=90^{\circ}\); (**d-f**) \(\beta=60^{\circ}\); (**g-i**) \(\beta=0^{\circ}\); (**j-l**) \(\beta=-60^{\circ}\); (**m-o**) \(\beta=-90^{\circ}\) for Jerlov I; \(c=0.022\) m\({}^{-1}\). Red and green lines are 10- and 0-dB contours, respectively.  
Figure 7: \(P_{r_{\text{ref}}}\) for SPD arrays at: (**a-c**) \(\beta=90^{\circ}\); (**d–f**) \(\beta=60^{\circ}\); (**g–i**) \(\beta=0^{\circ}\); (**j–l**) \(\beta=-60^{\circ}\); (**m–o**) \(\beta=-90^{\circ}\) for Jerlov III; \(c=1.045\) m\({}^{-1}\). Red and green lines show 10- and 0-dB contours, respectively.  
Figure 8: \(P_{r_{\text{int}}}\) for 5 PD arrays at: (**a-c**) \(\beta=90^{\circ}\); (**d-f**) \(\beta=60^{\circ}\); (**g-i**) \(\beta=0^{\circ}\); (**j-l**) \(\beta=-60^{\circ}\); (**m-o**) \(\beta=-90^{\circ}\) for Jerlov 3C; \(c=1.142\) m\({}^{-1}\). Red and green lines show 10- and 0-dB contours, respectively.