Limits...
Lossless Airy Surface Polaritons in a Metamaterial via Active Raman Gain.

Zhang Q, Tan C, Huang G - Sci Rep (2016)

Bottom Line: By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated.As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation.We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Precision Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China.

ABSTRACT
We propose a scheme to realize a lossless propagation of linear and nonlinear Airy surface polaritons (SPs) via active Raman gain (ARG). The system we suggest is a planar interface superposed by a negative index metamaterial (NIMM) and a dielectric, where three-level quantum emitters are doped. By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated. As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation. We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.

No MeSH data available.


Airy surface polaritonic solitons.Nonlinear evolution of  as functions of y/Ry and z/LDiff for different u0. (a) u0 = 0.5: Airy beam with shed CW radiations; (b) u0 = 1.3: Airy beam with shed static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) and CW radiations. (c) u0 = 2.4: Airy beam with shed static surface polaritonic soliton (i.e. “soliton 1”), the pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3”), and CW radiations.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4759699&req=5

f4: Airy surface polaritonic solitons.Nonlinear evolution of as functions of y/Ry and z/LDiff for different u0. (a) u0 = 0.5: Airy beam with shed CW radiations; (b) u0 = 1.3: Airy beam with shed static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) and CW radiations. (c) u0 = 2.4: Airy beam with shed static surface polaritonic soliton (i.e. “soliton 1”), the pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3”), and CW radiations.

Mentions: We numerically solve Eq. (19) by using a split-step Fourier method, with the initial condition given by , where u0 is an amplitude parameter, and is, as defined above, a normalization factor of the amplitude dependent on the apodization factor a. Figure 4 shows the evolution of as a function of and for different u0, with a = 0.06. We see that for a smaller u0 (i.e. u0 = 0.5) the Airy beam has a shedding of CW radiations (Fig. 4(a)) during propagation. However, as u0 increases (i.e. u0 = 1.3), a static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) is shed from the Airy beam (Fig. 4(b)), with additional CW radiations. As u0 increases further (i.e. u0 = 2.4), besides the appearance of a static surface polaritonic soliton (“soliton 1” in Fig. 4(c)) which displays an obvious oscillation along z-axis, a pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3” in Fig. 4(c)) is also generated. Two solitons in the pair have the same amplitude and opposite velocity, ensuring the conservation of the total momentum in the system. In this case, except for the production of the static soliton and the moving soliton pair, some CW radiations are also appear. Although these phenomena are similar to those found in refs 12,13, what we explored here is for Airy surface polaritonic solitons, which are not reported in literature up to now.


Lossless Airy Surface Polaritons in a Metamaterial via Active Raman Gain.

Zhang Q, Tan C, Huang G - Sci Rep (2016)

Airy surface polaritonic solitons.Nonlinear evolution of  as functions of y/Ry and z/LDiff for different u0. (a) u0 = 0.5: Airy beam with shed CW radiations; (b) u0 = 1.3: Airy beam with shed static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) and CW radiations. (c) u0 = 2.4: Airy beam with shed static surface polaritonic soliton (i.e. “soliton 1”), the pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3”), and CW radiations.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4759699&req=5

f4: Airy surface polaritonic solitons.Nonlinear evolution of as functions of y/Ry and z/LDiff for different u0. (a) u0 = 0.5: Airy beam with shed CW radiations; (b) u0 = 1.3: Airy beam with shed static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) and CW radiations. (c) u0 = 2.4: Airy beam with shed static surface polaritonic soliton (i.e. “soliton 1”), the pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3”), and CW radiations.
Mentions: We numerically solve Eq. (19) by using a split-step Fourier method, with the initial condition given by , where u0 is an amplitude parameter, and is, as defined above, a normalization factor of the amplitude dependent on the apodization factor a. Figure 4 shows the evolution of as a function of and for different u0, with a = 0.06. We see that for a smaller u0 (i.e. u0 = 0.5) the Airy beam has a shedding of CW radiations (Fig. 4(a)) during propagation. However, as u0 increases (i.e. u0 = 1.3), a static surface polaritonic soliton (i.e. the straight bright strip near at y = 0) is shed from the Airy beam (Fig. 4(b)), with additional CW radiations. As u0 increases further (i.e. u0 = 2.4), besides the appearance of a static surface polaritonic soliton (“soliton 1” in Fig. 4(c)) which displays an obvious oscillation along z-axis, a pair of moving surface polaritonic solitons (i.e. “soliton 2” and “soliton 3” in Fig. 4(c)) is also generated. Two solitons in the pair have the same amplitude and opposite velocity, ensuring the conservation of the total momentum in the system. In this case, except for the production of the static soliton and the moving soliton pair, some CW radiations are also appear. Although these phenomena are similar to those found in refs 12,13, what we explored here is for Airy surface polaritonic solitons, which are not reported in literature up to now.

Bottom Line: By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated.As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation.We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Precision Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China.

ABSTRACT
We propose a scheme to realize a lossless propagation of linear and nonlinear Airy surface polaritons (SPs) via active Raman gain (ARG). The system we suggest is a planar interface superposed by a negative index metamaterial (NIMM) and a dielectric, where three-level quantum emitters are doped. By using the ARG from the quantum emitters and the destructive interference effect between the electric and magnetic responses from the NIMM, we show that not only the Ohmic loss of the NIMM but also the light absorption of the quantum emitters can be completely eliminated. As a result, non-diffractive Airy SPs may propagate for very long distance without attenuation. We also show that the Kerr nonlinearity of the system can be largely enhanced due to the introduction of the quantum emitters and hence lossless Airy surface polaritonic solitons with very low power can be generated in the system.

No MeSH data available.