Photonics Research, 2021, 9 (3): 03000308, Published Online: Feb. 24, 2021  

Birefringent transmissive metalens with an ultradeep depth of focus and high resolution

Author Affiliations
Department of Microwave Engineering, Harbin Institute of Technology, Harbin 150001, China
Figures & Tables

Fig. 1. Schematic diagram of proposed birefringent metalens with ultradeep DOF. The incident linearly polarized electromagnetic wave can be decomposed into two orthogonal parts, i.e., the x-polarized (Ex) and y-polarized (Ey) beams. The birefringent metalens is able to modulate Ex or Ey independently. Holography can be applied to set several foci along the z axis (the optical axis of the metalens) for Ex and Ey beams to realize ultradeep DOF.

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Fig. 2. Building blocks, and calculation and simulation results of relation between transmission amplitude and phase. (a) Schematic diagram of the triple-layered cross I-shaped meta-atom; (b) surface current distribution under the illumination of the x- and the y-polarized beams, respectively; (c) simulated transmission amplitude and phase by sweeping lx and ly at 10 GHz; (d) transmission phase coverage of single-, double-, and triple-layered cross I-shaped meta-atoms against the transmission amplitude. The insets are the schematic diagrams of the two-port networks calculated by the scattering matrix.

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Fig. 3. Extinction cross-sectional spectra of the cross I-shaped meta-atoms in air for the x-polarized normal incidence. Extinction cross-sectional spectra of (a) single-, (b) double-, and (c) triple-layered cross I-shaped meta-atoms. MD represents magnetic dipole, ED represents electric dipole, MQ represents magnetic quadrupole, EQ represents electric quadrupole, MO represents magnetic octupole, and EO represents electric octupole. (d) Normalized total extinction cross-sectional spectra of single-, double-, and triple-layered cross I-shaped meta-atoms under the condition of lx=ly=3.5mm; (e) monochromatic variation of normalized total extinction cross section with lx(ly) at 10 GHz.

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Fig. 4. GSWm and the design process of the birefringent metalens. (a) Comparison of convergence characteristics under different values of p; (b) phase profiles of the x and the y polarizations by GSWm; (c) SSE curve during the phase profiles calculation process of the x and y polarizations in the metalens; normalized intensity in the xoz plane of (d) Ex, (e) Ey, and (f) Etotal calculated by Fresnel diffraction theory. The normalized intensity along the z axis is shown in (g). The full-wave simulation results of the normalized intensity in the xoz plane of (h) Ex, (i) Ey, and (j) Etotal; (k) normalized intensity along the z axis.

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Fig. 5. Fabricated metalens and experiment results. (a) Experiment results of normalized intensities along the z axis for Ex, Ey, and Etotal; (b) normalized intensities of the total scattered field by calculation, simulation, and experiment; (c) fabricated sample of the designed metalens by GSWm; inset is a zoomed-in view of the prototype; normalized field-intensity distribution for (d) Ex, (e) Ey at different longitudinal distances.

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Fig. 6. High transverse-resolution imaging simulation results. (a) Full-wave simulated results of normalized intensities along the z axis for Etotal under the illumination of linearly polarized spherical wave with a polarization angle of 45° at 10 GHz; (b) square pattern consisting of four discrete points; simulated field distributions for Ex, Ey, and Etotal when the square pattern is placed at (c)–(e)z=400mm, (f)–(h) z=600mm, (i)–(k) z=1000mm, and(l)–(n) z=1200mm.

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Jiaran Qi, Yongheng Mu, Shaozhi Wang, Zhiying Yin, Jinghui Qiu. Birefringent transmissive metalens with an ultradeep depth of focus and high resolution[J]. Photonics Research, 2021, 9(3): 03000308.

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