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. 2023 Mar 7;6:246. doi: 10.1038/s42003-023-04575-x

Fig. 1. Geometric tradeoffs between lens diameter (D), interommatidial angle (Δφ), and field of view (FOV).

Fig. 1

Diagrams of apposition and superposition eyes demonstrating the geometric tradeoffs between D, Δφ, and FOV for spherical (a. and b.) and non-spherical eyes (c. and d.). a In spherical apposition eyes, D directly determines sensitivity while Δφ inversely determines acuity. b In superposition eyes, migrating pigment (indicated by the arrows) allows the ommatidia to share light, increasing the eye’s sensitivity. As a result, these eyes generally adhere to a spherical design. c-d In nonspherical eyes, the intersection of ommatidial axes differs from the center of curvature, with ommatidial axes askew from the surface of the eye. Consequently, FOV and Δφ are not externally measurable and the effect of D on sensitivity is reduced by greater angles of skewness. c. When the distance to the intersection is greater than the radius of curvature, FOV and Δφ decrease, increasing average spatial acuity by directing more ommatidia over a smaller total angle. d Inversely, when the distance to the intersection is less than the radius of curvature, FOV and Δφ increase, decreasing average spatial acuity by directing fewer ommatidia over a smaller total angle. In both cases, optical sensitivity is lost because skewness reduces the effective aperture of the ommatidia.