Guiding effects in waveguides with anti-symmetric refractive index layouts

doi:10.1364/OE.18.020681

Guiding effects in waveguides with anti-symmetric refractive index layouts

Shlomo Ruschin »View Author Affiliations

Optics Express, Vol. 18, Issue 20, pp. 20681-20689 (2010)
http://dx.doi.org/10.1364/OE.18.020681

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Abstract

This paper presents and analyzes configurations of waveguides composed by both, regular dielectrics and negative-index materials disposed in an anti-symmetric way with respect to the optical axis. In its basic form, the configuration includes two guiding layers and two cladding media, where both the cladding and the guiding pairs have opposite-signed refractive index. A geometrical analysis shows that paths are closed, hinting the possibility of localized modes or light trapping with zero ray velocity. The ray model shows also a quasi-perfect imaging effect for off-axis objects. A modal approach shows that trapping is broadband and the propagation constant spectrum is continuous. When cores are allowed different widths, control of the group velocity is possible. More general anti-symmetrically mirrored layouts are also addressed.

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(350.3618) Other areas of optics : Left-handed materials
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

History
Original Manuscript: July 6, 2010
Revised Manuscript: August 12, 2010
Manuscript Accepted: August 13, 2010
Published: September 15, 2010

Citation
Shlomo Ruschin, "Guiding effects in waveguides with anti-symmetric refractive index layouts," Opt. Express 18, 20681-20689 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-20-20681

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References

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000). [CrossRef] [PubMed]
V. R. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007). [CrossRef]
S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005). [CrossRef] [PubMed]
G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, “Negative-index metamaterial at 780 nm wavelength,” Opt. Lett. 32(1), 53–55 (2007). [CrossRef]
I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(5), 057602 (2003). [CrossRef] [PubMed]
K. L. Tsakmakidis, C. Hermann, A. Klaedtke, C. Jamois, and O. Hess, “Surface plasmon polaritons in generalized slab heterostructures with negative permittivity and permeability,” Phys. Rev. B 73(8), 085104 (2006). [CrossRef]
Z. H. Wang, Z. Y. Xiao, and S. P. Li, “Guided modes in slab waveguides with a left-handed material cover or substrate,” Opt. Commun. 281(4), 607–613 (2008). [CrossRef]
J. He, Y. Jin, Z. Hong, and S. He, “Slow light in a dielectric waveguide with negative-refractive-index photonic crystal cladding,” Opt. Express 16(15), 11077–11082 (2008). [CrossRef] [PubMed]
J. He and S. He, “Slow propagation of electromagnetic waves in a dielectric slab waveguide with a left handed material substrate,” IEEE Microw. Wirel. Compon. Lett. 16(2), 96–98 (2006). [CrossRef]
Y. He, Z. Cao, and Q. Shen, “Guided optical modes in asymmetric left-handed waveguides,” Opt. Commun. 245(1-6), 125–135 (2005). [CrossRef]
K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “Trapped rainbow' storage of light in metamaterials,” Nature 450(7168), 397–401 (2007). [CrossRef] [PubMed]
A. Alù and N.Engheta, “Guided Modes in a Waveguide Filled With a Pair of Single-Negative (SNG), Double-Negative (DNG), and/or Double-Positive (DPS) Layers,” IEEE Trans. MTT, V.52, No. 1, 2004.
A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Müllera, and R. H. Rinkleff, “White-light cavities, atomic phase coherence, and gravitational wave detectors,” Opt. Commun. 134(1-6), 431–439 (1997). [CrossRef]
G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007). [CrossRef] [PubMed]
M. J. Adams, An Introduction to optical waveguides, (Wiley, 1981)

IEEE Microw. Wirel. Compon. Lett.

J. He and S. He, “Slow propagation of electromagnetic waves in a dielectric slab waveguide with a left handed material substrate,” IEEE Microw. Wirel. Compon. Lett. 16(2), 96–98 (2006). [CrossRef]

Nat. Photonics

V. R. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1(1), 41–48 (2007). [CrossRef]

Nature

K. L. Tsakmakidis, A. D. Boardman, and O. Hess, “Trapped rainbow' storage of light in metamaterials,” Nature 450(7168), 397–401 (2007). [CrossRef] [PubMed]

Opt. Commun.

Y. He, Z. Cao, and Q. Shen, “Guided optical modes in asymmetric left-handed waveguides,” Opt. Commun. 245(1-6), 125–135 (2005). [CrossRef]
A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Müllera, and R. H. Rinkleff, “White-light cavities, atomic phase coherence, and gravitational wave detectors,” Opt. Commun. 134(1-6), 431–439 (1997). [CrossRef]
Z. H. Wang, Z. Y. Xiao, and S. P. Li, “Guided modes in slab waveguides with a left-handed material cover or substrate,” Opt. Commun. 281(4), 607–613 (2008). [CrossRef]

Opt. Express

J. He, Y. Jin, Z. Hong, and S. He, “Slow light in a dielectric waveguide with negative-refractive-index photonic crystal cladding,” Opt. Express 16(15), 11077–11082 (2008). [CrossRef] [PubMed]

Opt. Lett.

G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, “Negative-index metamaterial at 780 nm wavelength,” Opt. Lett. 32(1), 53–55 (2007). [CrossRef]

Phys. Rev. B

K. L. Tsakmakidis, C. Hermann, A. Klaedtke, C. Jamois, and O. Hess, “Surface plasmon polaritons in generalized slab heterostructures with negative permittivity and permeability,” Phys. Rev. B 73(8), 085104 (2006). [CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Guided modes in negative-refractive-index waveguides,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 67(5), 057602 (2003). [CrossRef] [PubMed]

Phys. Rev. Lett.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Experimental demonstration of near-infrared negative-index metamaterials,” Phys. Rev. Lett. 95(13), 137404 (2005). [CrossRef] [PubMed]
J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000). [CrossRef] [PubMed]
G. S. Pati, M. Salit, K. Salit, and M. S. Shahriar, “Demonstration of a tunable-bandwidth white-light interferometer using anomalous dispersion in atomic vapor,” Phys. Rev. Lett. 99(13), 133601 (2007). [CrossRef] [PubMed]

Other

M. J. Adams, An Introduction to optical waveguides, (Wiley, 1981)
A. Alù and N.Engheta, “Guided Modes in a Waveguide Filled With a Pair of Single-Negative (SNG), Double-Negative (DNG), and/or Double-Positive (DPS) Layers,” IEEE Trans. MTT, V.52, No. 1, 2004.

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