Morse lens [Invited]

Huanyang Chen; Wen Xiao

doi:10.3788/COL202018.062403

Chinese Optics Letters, Volume. 18, Issue 6, 062403(2020)

Morse lens [Invited] Editors' Pick

Huanyang Chen^1,2、* and Wen Xiao^1,2

¹Institute of Electromagnetics and Acoustics and Key Laboratory of Electromagnetic Science and Detection Technology, Xiamen University, Xiamen 361005, China

²Department of Electrical and Electronics Engineering, Xiamen University Malaysia, 43900 Sepang, Selangor, Malaysia

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Figures & Tables(4)

$(a) The refractive index profiles for the Eaton lens (red), the Luneburg Lens (green) and the anti-Eaton lens (blue). (b) Refractive index profile for the Morse lens with a=−1 (red), a=−2 (green), and a=1 (blue). (c) Ray trajectories from a point of (1, 0) on the Eaton lens. (d) Ray trajectories from a point of (1, 0) on the Luneburg lens. (e) Ray trajectories from a point of (−1,−16) on the Morse lens with a=−1. (f) Ray trajectories from a point of (−1,−16) on the Morse lens with a=−2.$

Fig. 1. (a) The refractive index profiles for the Eaton lens (red), the Luneburg Lens (green) and the anti-Eaton lens (blue). (b) Refractive index profile for the Morse lens with $a = - 1$ (red), $a = - 2$ (green), and $a = 1$ (blue). (c) Ray trajectories from a point of (1, 0) on the Eaton lens. (d) Ray trajectories from a point of (1, 0) on the Luneburg lens. (e) Ray trajectories from a point of ( $- 1, - 16$ ) on the Morse lens with $a = - 1$ . (f) Ray trajectories from a point of ( $- 1, - 16$ ) on the Morse lens with $a = - 2$ .

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$The refractive index distribution (contour map) and trajectory (black curve) for a ray emitted from (1, 0) at 45° on a generalized Eaton/Luneburg lens with (a) a=−1; (b) a=−2; (c) a=−3; (d) a=−4; (e) a=1; (f) a=2; (g) a=3; (h) a=4.$

Fig. 2. The refractive index distribution (contour map) and trajectory (black curve) for a ray emitted from (1, 0) at 45° on a generalized Eaton/Luneburg lens with (a) $a = - 1$ ; (b) $a = - 2$ ; (c) $a = - 3$ ; (d) $a = - 4$ ; (e) $a = 1$ ; (f) $a = 2$ ; (g) $a = 3$ ; (h) $a = 4$ .

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$The refractive index distribution (contour map) and trajectory (black curve) for a ray emitted from (1, 0) at 45° on a generalized Eaton/Luneburg lens with (a) a=−12; (b) a=−32; (c) a=−52; (d) a=12; (e) a=32; (f) a=52.$

Fig. 3. The refractive index distribution (contour map) and trajectory (black curve) for a ray emitted from (1, 0) at 45° on a generalized Eaton/Luneburg lens with (a) $a = - \frac{1}{2}$ ; (b) $a = - \frac{3}{2}$ ; (c) $a = - \frac{5}{2}$ ; (d) $a = \frac{1}{2}$ ; (e) $a = \frac{3}{2}$ ; (f) $a = \frac{5}{2}$ .

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$(a) The 6–10 potential (red) and the 6–12 potential (green). (b) The refractive index profile of generalized Eaton/Luneburg lens with a=4 (red) and the related lens from the 6–12 potential (green). (c) Ray trajectories from a point of (1, 0) on the generalized lens. (d) Ray trajectories from a point of (1, 0) on the related lens from the 6–12 potential.$

Fig. 4. (a) The 6–10 potential (red) and the 6–12 potential (green). (b) The refractive index profile of generalized Eaton/Luneburg lens with $a = 4$ (red) and the related lens from the 6–12 potential (green). (c) Ray trajectories from a point of (1, 0) on the generalized lens. (d) Ray trajectories from a point of (1, 0) on the related lens from the 6–12 potential.

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Huanyang Chen, Wen Xiao. Morse lens [Invited][J]. Chinese Optics Letters, 2020, 18(6): 062403

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