Multiplet structure of the defect modes in 1D helical photonic crystals with twist defects

Avendaño, Carlos; Ponti, S.; Reyes, J. A.

doi:10.1088/0305-4470/38/41/001

Cited by 27 publications

(22 citation statements)

References 15 publications

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“…The selective reflection obstructs observation of localized states when the order at the interface or at the structural defect is disturbed. This is paid off by a simpler description of the states, which is an advantage offered by smooth helix symmetry [1,4] as opposed to discrete translational symmetry of crystals. The structural defect is conventionally represented as a cavity confined by mirrors, where the role of mirrors is played by the Bragg grating.…”

Section: Introductionmentioning

confidence: 99%

“…There are a number of distinctive polarization features [5][6][7][8][9][10][11] associated with the chiral defect applications [2,[12][13][14][15], among which the twist defect, lacking an intermediate layer and having zero thickness, is most prominent [16,17]. Strict theoretical [4,[18][19][20] and experimental [16,21,22] studies of the phenomenon gave rise to a discussion on polarization and relaxation time of the localized state [23,24]. Theoretically, infinite relaxation time is only possible if there is anisotropy in magnetic permittivity [4,25].…”

Section: Introductionmentioning

confidence: 99%

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Chiral Optical Tamm States: Temporal Coupled-Mode Theory

et al. 2017

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Abstract:The chiral optical Tamm state (COTS) is a special localized state at the interface of a handedness-preserving mirror and a structurally chiral medium such as a cholesteric liquid crystal or a chiral sculptured thin film. The spectral behavior of COTS, observed as reflection resonances, is described by the temporal coupled-mode theory. Mode coupling is different for two circular light polarizations because COTS has a helical structure replicating that of the cholesteric. The mode coupling for co-handed circularly polarized light exponentially attenuates with the cholesteric layer thickness since the COTS frequency falls into the stop band. Cross-handed circularly polarized light freely goes through the cholesteric layer and can excite COTS when reflected from the handedness-preserving mirror. The coupling in this case is proportional to anisotropy of the cholesteric and theoretically only anisotropy in magnetic permittivity can ultimately cancel this coupling. These two couplings being equal result in a polarization crossover (the Kopp-Genack effect) for which a linear polarization is optimal to excite COTS. The corresponding cholesteric thickness and scattering matrix for COTS are generally described by simple expressions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chiral Optical Tamm States: Temporal Coupled-Mode Theory

et al. 2017

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“…(1.32), (1.33) and (1.37) the problem of reflection-transmission can be established (1.33). Notice that the matrix equation This relation can be expressed in terms of matrix M as follows (Avendaño et al, 2005) with…”

Section: X 4 Matrix Representationmentioning

confidence: 99%

“…Thus, structural chiral materials are circular-polarization rejection filters in optics (Avendaño et al, 2005;de Gennes & Prost, 1993;Macleod, 2001). In addition, cholesteric elastomers are very sensitive to external stimuli as electric fields, temperature and mechanical stress.…”

Section: Reflection Bands Of Distorted Elastomers With and Without Dementioning

confidence: 99%

Quasi-optical Systems Based on Periodic Structures

Vorobjov¹,

Shulga²,

Zhurbenko³

2011

Electromagnetic Waves

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“…If we restrict our analysis to the case when the electromagnetic wave is incident parallel to za x i s − , the angles ϕ and θ equal zero and expression for Q is reduced to This relation can be expressed in terms of matrix M as follows (Avendaño et al, 2005) www.intechopen.com Before ending this section, we mention that an alternative to find the transmission and reflection coefficients is using the expressions given by (1.30) and (1.31). Also, the system of equations (1.40) can be solved numerically to find the scattering matrix.…”

Section: Boundary Conditionmentioning

confidence: 99%