Goos–Hänchen shifts in reflective phase-gradient-produced metasurfaces

Junxian Shi; Jingshan Qi; Linyong Qian; Caiqin Han; Changchun Yan

doi:doi:10.3788/COL201816.061602

Chinese Optics Letters, 2018, 16 (6): 061602, Published Online: Jul. 2, 2018

Goos–Hänchen shifts in reflective phase-gradient-produced metasurfaces

Junxian Shi Jingshan Qi Linyong Qian Caiqin Han Changchun Yan ^*

Author Affiliations

Jiangsu Key Laboratory of Advanced Laser Materials and Devices, School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China

Figures & Tables

Fig. 1. Schematic of an electromagnetic wave totally reflected at the interface between two media. The x axis is perpendicular to the interface, and the y axis is parallel to the interface. A metasurface is attached on the upper side of medium 1.

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Fig. 2. Critical angles as functions of the phase gradient in the y direction for 30, 40, and 50 THz incident waves. +θc and −θc represent the cases for ‘+’ and ‘−’ in Eq. (7), respectively. The refractive index of medium 1 considered as silicon was set approximately to n1=3.42^[23], and medium 2 was regarded as the vacuum (n2=1).

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Fig. 3. GH shifts on the phase-gradient metasurface as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

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Fig. 4. Dip ratios as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

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Fig. 5. GH shifts as functions of the incident angle for the different phase gradients (dφ/dy) of −π/2, −π/4, 0, π/4, and π/2 rad/μm at the frequency of 40 THz. (a) TE polarization; (b) TM polarization.

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Junxian Shi, Jingshan Qi, Linyong Qian, Caiqin Han, Changchun Yan. Goos–Hänchen shifts in reflective phase-gradient-produced metasurfaces[J]. Chinese Optics Letters, 2018, 16(6): 061602.

Goos–Hänchen shifts in reflective phase-gradient-produced metasurfaces

Fig. 1. Schematic of an electromagnetic wave totally reflected at the interface between two media. The x axis is perpendicular to the interface, and the y axis is parallel to the interface. A metasurface is attached on the upper side of medium 1.

Fig. 3. GH shifts on the phase-gradient metasurface as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

Fig. 4. Dip ratios as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

Fig. 5. GH shifts as functions of the incident angle for the different phase gradients (dφ/dy) of −π/2, −π/4, 0, π/4, and π/2 rad/μm at the frequency of 40 THz. (a) TE polarization; (b) TM polarization.

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Goos–Hänchen shifts in reflective phase-gradient-produced metasurfaces

Fig. 1. Schematic of an electromagnetic wave totally reflected at the interface between two media. The x axis is perpendicular to the interface, and the y axis is parallel to the interface. A metasurface is attached on the upper side of medium 1.

Fig. 3. GH shifts on the phase-gradient metasurface as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

Fig. 4. Dip ratios as functions of the phase gradient at 30, 40, and 50 THz frequencies for the (a) TE and (b) TM polarizations.

Fig. 5. GH shifts as functions of the incident angle for the different phase gradients (dφ/dy) of −π/2, −π/4, 0, π/4, and π/2 rad/μm at the frequency of 40 THz. (a) TE polarization; (b) TM polarization.

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