Photonics Research, 2021, 9 (3): 03000308, Published Online: Feb. 24, 2021
Birefringent transmissive metalens with an ultradeep depth of focus and high resolution
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 (E x ) and y -polarized (E y ) beams. The birefringent metalens is able to modulate E x or E y independently. Holography can be applied to set several foci along the z axis (the optical axis of the metalens) for E x and E y beams to realize ultradeep DOF.
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 l x and l y 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.
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 l x = l y = 3.5 mm ; (e) monochromatic variation of normalized total extinction cross section with l x ( l y ) at 10 GHz.
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 x o z plane of (d) E x , (e) E y , and (f) E total 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 x o z plane of (h) E x , (i) E y , and (j) E total; (k) normalized intensity along the z axis.
Fig. 5. Fabricated metalens and experiment results. (a) Experiment results of normalized intensities along the z axis for E x , E y , and E total; (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) E x , (e) E y at different longitudinal distances.
Fig. 6. High transverse-resolution imaging simulation results. (a) Full-wave simulated results of normalized intensities along the z axis for E total 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 E x , E y , and E total when the square pattern is placed at (c)–(e)z = 400 mm , (f)–(h) z = 600 mm , (i)–(k) z = 1000 mm , and(l)–(n) z = 1200 mm .
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.