Universal Design Platform for an Extended Class of Photonic Dirac Cones

Kim, Jungmin; Yu, Sunkyu; Park, Namkyoo

doi:10.1103/physrevapplied.13.044015

Cited by 17 publications

(16 citation statements)

References 46 publications

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“…The hexagonal array is the more common array type used in valleytronics, due to the guaranteed Dirac cones at the KK BZ vertices, but as shown earlier square arrays can also be used to create topological effects [37][38][39][40][41]; we now construct small finite square arrays of just 100 square inclusions. We consider a circular metallic PCF of radius 10.5 a, filled with 10 × 10 square of metallic rods of sidelength a/2 where a is the array pitch.…”

Section: Finite Topological Photonic Crystal Fiber Arraysmentioning

confidence: 96%

“…Symmetry protected Dirac cones can also be constructed for non-hexagonal systems [37][38][39][40][41]. Notably a strategically designed square (or rectangular) structure allows for the emergence of mirror symmetry protected Dirac cones; these systems differ from the vast majority of earlier valleytronic literature [26,[42][43][44][45][46][47][48][49] that have focused on graphene-like structures.…”

Section: Square Structurementioning

confidence: 99%

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Hybrid topological guiding mechanisms for photonic crystal fibers

Makwana¹,

Wiltshaw²,

Guenneau³

2020

Opt. Express

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We create hybrid topological-photonic localisation of light by introducing concepts from the field of topological matter to that of photonic crystal fiber arrays. S-polarized obliquely propagating electromagnetic waves are guided by hexagonal, and square, lattice topological systems along an array of infinitely conducting fibers. The theory utilises perfectly periodic arrays that, in frequency space, have gapped Dirac cones producing band gaps demarcated by pronounced valleys locally imbued with a nonzero local topological quantity. These broken symmetry-induced stop-bands allow for localised guidance of electromagnetic edge-waves along the crystal fiber axis. Finite element simulations, complemented by asymptotic techniques, demonstrate the effectiveness of the proposed designs for localising energy in finite arrays in a robust manner.

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Section: Finite Topological Photonic Crystal Fiber Arraysmentioning

confidence: 96%

Section: Square Structurementioning

confidence: 99%

Hybrid topological guiding mechanisms for photonic crystal fibers

Makwana¹,

Wiltshaw²,

Guenneau³

2020

Opt. Express

View full text Add to dashboard Cite

show abstract

“…Symmetry protected Dirac cones can also be constructed for non-hexagonal systems [36][37][38][39][40].…”

Section: Square Structurementioning

confidence: 99%

Hybrid topological guiding mechanisms for photonic crystal fibers

Makwana,

Wiltshaw,

Guenneau

et al. 2020

Preprint

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“…The photonic states of the Diraclike cone transport as they are traveling in a medium with a refractive index of zero. According to the slope of bands near Dirac point, Dirac cones can be categorized into type-I, II, and III, which show opposite signs of group velocities, identical signs of group velocities and zero group velocities, respectively, at the Dirac-point frequency 28 . Dirac-like cone corresponds to the type-I photonic Dirac cone with an additional flat band.…”

Section: Introductionmentioning

confidence: 99%

Dirac-like cone-based electromagnetic zero-index metamaterials

Chan

Mazur

2021

Light Sci Appl

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Metamaterials with a Dirac-like cone dispersion at the center of the Brillouin zone behave like an isotropic and impedance-matched zero refractive index material at the Dirac-point frequency. Such metamaterials can be realized in the form of either bulk metamaterials with efficient coupling to free-space light or on-chip metamaterials that are efficiently coupled to integrated photonic circuits. These materials enable the interactions of a spatially uniform electromagnetic mode with matter over a large area in arbitrary shapes. This unique optical property paves the way for many applications, including arbitrarily shaped high-transmission waveguides, nonlinear enhancement, and phase mismatch-free nonlinear signal generation, and collective emission of many emitters. This review summarizes the Dirac-like cone-based zero-index metamaterials’ fundamental physics, design, experimental realizations, and potential applications.

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Universal Design Platform for an Extended Class of Photonic Dirac Cones

Cited by 17 publications

References 46 publications

Hybrid topological guiding mechanisms for photonic crystal fibers

Hybrid topological guiding mechanisms for photonic crystal fibers

Hybrid topological guiding mechanisms for photonic crystal fibers

Dirac-like cone-based electromagnetic zero-index metamaterials

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