Optically induced atomic lattice with tunable near-field and far-field diffraction patterns

Feng Wen; Huapeng Ye; Xun Zhang; Wei Wang; Shuoke Li; Hongxing Wang; Yanpeng Zhang; Cheng-wei Qiu

doi:10.1364/PRJ.5.000676

Journals >Photonics Research >Volume 5 >Issue 6 >Page 676 > Article

Photonics Research
Vol. 5, Issue 6, 676 (2017)

Optically induced atomic lattice with tunable near-field and far-field diffraction patterns

Feng Wen^1、2, Huapeng Ye², Xun Zhang¹, Wei Wang¹, Shuoke Li¹, Hongxing Wang^1、*, Yanpeng Zhang¹, and Cheng-wei Qiu²

Author Affiliations

¹Key Laboratory for Physical Electronics and Devices of the Ministry of Education & School of Science & Shaanxi Key Laboratory of Information Photonic Technique & Institute of Wide Bandgap Semiconductors, Xi’an Jiaotong University, Xi’an 710049, China

²Department of Electrical and Computer Engineering, National University of Singapore, 4 Engineering Drive 3, Singapore 117583, Singapore

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DOI: 10.1364/PRJ.5.000676 Cite this Article Set citation alerts

Feng Wen, Huapeng Ye, Xun Zhang, Wei Wang, Shuoke Li, Hongxing Wang, Yanpeng Zhang, Cheng-wei Qiu. Optically induced atomic lattice with tunable near-field and far-field diffraction patterns[J]. Photonics Research, 2017, 5(6): 676 Copy Citation Text

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$(a) Cascade-type three-level scheme with |a⟩[5S1/2(F=3)], |b⟩[5P3/2(F=3)], and |c⟩ (5D5/2) of Rb85 atoms [25], interacting with three laser beams: probe field EP and two lattice-forming fields E2(x) and E3(y). (b) The geometry of four laser beams applied upon a cold atoms ensemble along the z direction, and the corresponding near-field and far-field diffraction patterns of a probe field.$

Fig. 1. (a) Cascade-type three-level scheme with |a⟩[5S1/2(F=3)], |b⟩[5P3/2(F=3)], and |c⟩ (5D5/2) of Rb85 atoms [25], interacting with three laser beams: probe field EP and two lattice-forming fields E2(x) and E3(y). (b) The geometry of four laser beams applied upon a cold atoms ensemble along the z direction, and the corresponding near-field and far-field diffraction patterns of a probe field.

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(a) The periodical modulation of the lattice-forming laser due to the four-beam interference pattern with ΩC=8 MHz. The absorption spectrum and dispersion spectrum (b) at the nodes and (c) the antinodes of the lattice-forming laser.

Fig. 2. (a) The periodical modulation of the lattice-forming laser due to the four-beam interference pattern with ΩC=8 MHz. The absorption spectrum and dispersion spectrum (b) at the nodes and (c) the antinodes of the lattice-forming laser.

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$Amplitude-type lattice, with settings ΩC=15 MHz, Δ1=0 MHz, and Δ2=0 MHz. (a) The amplitude and (b) the phase of the transmission function T(x,y) plotted over four space periods along x and y. (c) The corresponding normalized diffraction intensity I(θx,θy) as a function of sinθx and sinθy. (d) 2D transverse patterns corresponding to (c). Other parameters are γab=1 MHz, γac=0.1 MHz, a/λP=b/λP=4, L=10, and P=Q=1.$

Fig. 3. Amplitude-type lattice, with settings ΩC=15 MHz, Δ1=0 MHz, and Δ2=0 MHz. (a) The amplitude and (b) the phase of the transmission function T(x,y) plotted over four space periods along x and y. (c) The corresponding normalized diffraction intensity I(θx,θy) as a function of sinθx and sinθy. (d) 2D transverse patterns corresponding to (c). Other parameters are γab=1 MHz, γac=0.1 MHz, a/λP=b/λP=4, L=10, and P=Q=1.

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$Phase-type lattice, with settings ΩC=15 MHz, Δ1=10 MHz, and Δ2=0 MHz. (a) The amplitude and (b) the phase of the transmission function T(x,y) plotted over four space periods along x and y. (c) The corresponding normalized diffraction intensity I(θx,θy) as a function of sin θx and sin θy. (d) 2D transverse patterns corresponding to (c). (e) The amplitude (solid curve) and the phase (dashed curve) of the transmission function T(x,y) as a function of x within a single space period. Other parameters are γab=1 MHz, γac=0.2 MHz, a/λP=b/λP=4, L=10, and P=Q=1.$

Fig. 4. Phase-type lattice, with settings ΩC=15 MHz, Δ1=10 MHz, and Δ2=0 MHz. (a) The amplitude and (b) the phase of the transmission function T(x,y) plotted over four space periods along x and y. (c) The corresponding normalized diffraction intensity I(θx,θy) as a function of sin θx and sin θy. (d) 2D transverse patterns corresponding to (c). (e) The amplitude (solid curve) and the phase (dashed curve) of the transmission function T(x,y) as a function of x within a single space period. Other parameters are γab=1 MHz, γac=0.2 MHz, a/λP=b/λP=4, L=10, and P=Q=1.

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$Normalized diffraction intensity IP(θx0,θy0) (solid line), IP(θx1,θy0) (dashed line), and IP(θx1,θy1) (dashed–dotted line) as a function of ΩC with (a) amplitude lattice with Δ1=0 MHz, and Δ2=0 MHz and (b) phase-type lattice Δ1=10 MHz, and Δ2=0 MHz. Other parameters are γab=1 MHz, γac=0.2 MHz, a/λP=b/λP=4, L=10, and P=Q=1.$

Fig. 5. Normalized diffraction intensity IP(θx0,θy0) (solid line), IP(θx1,θy0) (dashed line), and IP(θx1,θy1) (dashed–dotted line) as a function of ΩC with (a) amplitude lattice with Δ1=0 MHz, and Δ2=0 MHz and (b) phase-type lattice Δ1=10 MHz, and Δ2=0 MHz. Other parameters are γab=1 MHz, γac=0.2 MHz, a/λP=b/λP=4, L=10, and P=Q=1.

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$Near-field diffraction pattern in the case of (a) amplitude-type lattice and (b) phase-type lattice, and (a1)–(a4), (b1)–(b4) Talbot imaging at Z=0, zT/2, 2zT/3, and zT, respectively.$

Fig. 6. Near-field diffraction pattern in the case of (a) amplitude-type lattice and (b) phase-type lattice, and (a1)–(a4), (b1)–(b4) Talbot imaging at Z=0, zT/2, 2zT/3, and zT, respectively.

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