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Cited by 31

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Modulation-assisted tunneling in laser-fabricated photonic Wannier–Stark ladders

Mukherjee, Sebabrata, Spracklen, Alexander, Choudhury, Debaditya, Goldman, Nathan, Öhberg, Patrik, Andersson, Erika, Thomson, Robert R·2015·New Journal of Physics
DOI 10.1088/1367-2630/17/11/115002
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FIG. 1 Schematic diagrams of (a) an array of straight optical waveguides, (b) an array of circularly curved optical waveguides, (c) an array of circularly curved optical waveguides with a sinusoidal modulation. (d) Schematic diagram of the ultrafast laser inscription technique. (e) White-light transmission micrograph of the facet of an array of straight waveguides. Lattice constant a = 16 µm . Each waveguide is single-mode at 780 nm wavelength. The central waveguide, indicated with the red circle, was excited for all measurements.
FIG. 1 Schematic diagrams of (a) an array of straight optical waveguides, (b) an array of circularly curved optical waveguides, (c) an array of circularly curved optical waveguides with a sinusoidal modulation. (d) Schematic diagram of the ultrafast laser inscription technique. (e) White-light transmission micrograph of the facet of an array of straight waveguides. Lattice constant a = 16 µm . Each waveguide is single-mode at 780 nm wavelength. The central waveguide, indicated with the red circle, was excited for all measurements.CC-BY · From the PDF
FIG. 2 Intensity distribution at the output of 30-mm-long circularly curved 1D lattices with radii of curvature (a) R = ∞ (i.e. straight lattice), (b) R = 1 . 5 m, (c) R = 1 . 2 m, (d) R = 0 . 5 m, (e) R = 0 . 3 m and (f) R = 0 . 2 m. In each case, light was launched into the central waveguide.
FIG. 2 Intensity distribution at the output of 30-mm-long circularly curved 1D lattices with radii of curvature (a) R = ∞ (i.e. straight lattice), (b) R = 1 . 5 m, (c) R = 1 . 2 m, (d) R = 0 . 5 m, (e) R = 0 . 3 m and (f) R = 0 . 2 m. In each case, light was launched into the central waveguide.CC-BY · From the PDF
FIG. 3 (a) Micrograph of the facet of a square lattice. For all measurements, light was launched into the circled waveguide. (b)-(g) Intensity distribution at the output of 10-mm-long circularly curved square lattice with radii of curvature (b) R = ∞ (i.e. straight lattice), (c) R = 1 m, (d) R = 0 . 7 m, (e) R = 0 . 5 m, (f) R = 0 . 4 m and (g) R = 0 . 3 m. κ x = 0 . 085, mm -1 , κ y = 0 . 095 mm -1 , κ N = 0 . 019 mm -1 , a =15 µ m.
FIG. 3 (a) Micrograph of the facet of a square lattice. For all measurements, light was launched into the circled waveguide. (b)-(g) Intensity distribution at the output of 10-mm-long circularly curved square lattice with radii of curvature (b) R = ∞ (i.e. straight lattice), (c) R = 1 m, (d) R = 0 . 7 m, (e) R = 0 . 5 m, (f) R = 0 . 4 m and (g) R = 0 . 3 m. κ x = 0 . 085, mm -1 , κ y = 0 . 095 mm -1 , κ N = 0 . 019 mm -1 , a =15 µ m.CC-BY · From the PDF
FIG. 4 Inverse participation ratio (IPR) is a measure of localisation and is defined as the average of the absolute value of the fourth power of the wave function. The IPRs along the x and y directions, (IPR) x and (IPR) y respectively, have been plotted as a function of the inverse of curvature radius R which is a measure of the strength of dc electric field. There is no effect of electric field along the y direction. Complete localisation (IPR=1) is observed in the x direction as the electric field exceeds a threshold value.
FIG. 4 Inverse participation ratio (IPR) is a measure of localisation and is defined as the average of the absolute value of the fourth power of the wave function. The IPRs along the x and y directions, (IPR) x and (IPR) y respectively, have been plotted as a function of the inverse of curvature radius R which is a measure of the strength of dc electric field. There is no effect of electric field along the y direction. Complete localisation (IPR=1) is observed in the x direction as the electric field exceeds a threshold value.CC-BY · From the PDF
FIG. 5 Intensity distribution at the output of circularly curved lattices with sinusoidal modulation. Spatial periods of oscillation are 3.9 mm (1:st column), 7.8 mm (2:nd column) and 11.7 mm (3:rd column). For each period the amplitude of oscillation, A , was varied as shown. See also Fig. (6).
FIG. 5 Intensity distribution at the output of circularly curved lattices with sinusoidal modulation. Spatial periods of oscillation are 3.9 mm (1:st column), 7.8 mm (2:nd column) and 11.7 mm (3:rd column). For each period the amplitude of oscillation, A , was varied as shown. See also Fig. (6).CC-BY · From the PDF
FIG. 6 Graphical representation of Fig. (5). Variation of effective coupling with K 0 = K/ω 0 . The solid lines are the absolute values of Bessel functions | J 1 | , | J 2 | and | J 3 | respectively, which were predicted theoretically from Eq. (8).
FIG. 6 Graphical representation of Fig. (5). Variation of effective coupling with K 0 = K/ω 0 . The solid lines are the absolute values of Bessel functions | J 1 | , | J 2 | and | J 3 | respectively, which were predicted theoretically from Eq. (8).CC-BY · From the PDF

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Citations

Cites

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Metadata

Authors
Mukherjee, S., Spracklen, A., Choudhury, D., Goldman, N., Öhberg, P., Andersson, E., & Thomson, R. R.
Venue
New Journal of Physics
Publisher
IOP Publishing
Published
2015-10-29
Volume
17
Issue
11
Pages
115002
ISSN
1367-2630
DOI
10.1088/1367-2630/17/11/115002
Cited by
31
References
6
Licence
Funders
  • Heriot-Watt University (EPSRC CM-DTC)
  • Heriot-Watt Univesity (James Watt Scholarship)
  • OPTICON Research Infrastructure ((EU-FP7 226604))
  • UK Science and Technology Facilities Council (STFC) ((ST/H005595/1))
  • Belgian Science Policy Oce (P7/18DYGEST)

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