Photonic defect modes in cholesteric liquid crystal films

Schmidtke, Jürgen; Stille, W.

doi:10.1140/epje/e2004-00027-2

Cited by 90 publications

(101 citation statements)

References 18 publications

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“…The spectrum emitted by a fluorescent dye perpendicular to the substrate can be calculated using the known eigenmodes of the CLC [17]. In this section we will derive a simple formula for the location of the peaks in the emission spectrum at both sides of the PBG, depending on the thickness L of the CLC slab, for a dye molecule in the middle of the slab.…”

Section: A Analytical Solution For Normal Emissionmentioning

confidence: 99%

“…The emission from a CLC in the normal direction can be modeled with analytical methods [17]. However, for more complicated optical designs (e.g., different director configurations or optical cavities) the analytical approach becomes cumbersome.…”

Section: B Plane Wave Expansion Simulationmentioning

confidence: 99%

“…Recent studies [16] have focused on emission wavelengths near the PBG (Bragg regime). An analytical model for the spontaneous emission from a CLC in the normal direction has been proposed by Schmidtke and Stille [17] based on the electric field profile of the eigenmodes of the CLC. This analytical approach is limited to basic structures and directions for which the eigenmodes are known.…”

Section: Introductionmentioning

confidence: 99%

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Light emission from dye-doped cholesteric liquid crystals at oblique angles: Simulation and experiment

et al. 2012

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Dye-doped cholesteric liquid crystals with a helical pitch of the order of a wavelength have a strong effect on the fluorescence properties of dye molecules. This is a promising system for realizing tunable lasers at low cost. We apply a plane wave model to simulate the spontaneous emission from a layer of cholesteric liquid crystal. We simulate the spectral and angle dependence and the polarization of the emitted light as a function of the order parameter of the dye in the liquid crystal. Measurements of the angle dependent emission spectra and polarization are in good agreement with the simulations.

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Section: A Analytical Solution For Normal Emissionmentioning

confidence: 99%

Section: B Plane Wave Expansion Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Light emission from dye-doped cholesteric liquid crystals at oblique angles: Simulation and experiment

et al. 2012

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“…This relation is a different expression to the one given in [2], where Maxwell's equations are solved in a frame rotating with the molecular director. Omitting common real prefactors and frequency independent terms, the real and imaginary parts, respectively, of the transmission coefficient [Eq.…”

Section: The Density Of Photon States For Chiral Nematic Liquid mentioning

confidence: 99%

Spontaneous emission from radiative chiral nematic liquid crystals at the photonic band-gap edge: An investigation into the role of the density of photon states near resonance

et al. 2013

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In this article, we investigate the spontaneous emission properties of radiating molecules embedded in a chiral nematic liquid crystal, under the assumption that the electronic transition frequency is close to the photonic edge mode of the structure, i.e., at resonance. We take into account the transition broadening and the decay of electromagnetic field modes supported by the so-called 'mirror-less' cavity. We employ the Jaynes-Cummings Hamiltonian to describe the electron interaction with the electromagnetic field, focusing on the mode with the diffracting polarization in the chiral nematic layer. As known in these structures, the density of photon states, calculated via the Wigner method, has distinct peaks on either side of the photonic band gap, which manifests itself as a considerable modification of the emission spectrum. We demonstrate that, near resonance, there are notable differences between the behavior of the density of states and the spontaneous emission profile of these structures. In addition, we examine in some detail the case of the logarithmic peak exhibited in the density of states in 2D photonic structures and obtain analytic relations for the Lamb shift and the broadening of the atomic transition in the emission spectrum. The dynamical behavior of the atom-field system is described by a system of two first order differential equations, solved using the Green's function method and the Fourier transform. The emission spectra are then calculated and compared with experimental data.

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“…Near the band edges interesting phenomena occur, such as the suppression of the wave group velocity and the modification of the spontaneous emission rates of atoms and molecules [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

The characteristics of photon and phonon standing waves in a periodic medium

Knuyt

Nesládek

2004

J. Phys.: Condens. Matter

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The main characteristics for the spatial variation of the photon and phonon wave fields at the band gap boundaries are derived for a one dimensional medium with periodic optical or acoustic parameters. The derivations are based on symmetry considerations and on analytical results derived from the basic differential equation for the wave field. A simple relation is derived between the band gap width and the derivative of the square modulus of the field at the interface between the regions of high and low wave velocity. The features of the standing waves are derived for various gap numbers and continuously varying acoustic/optical parameters of the medium. Using the results a remarkable asymmetric behaviour of the wave absorption near the Brillouin-zone boundaries could be explained in a straightforward way.

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Photonic defect modes in cholesteric liquid crystal films

Cited by 90 publications

References 18 publications

Light emission from dye-doped cholesteric liquid crystals at oblique angles: Simulation and experiment

Light emission from dye-doped cholesteric liquid crystals at oblique angles: Simulation and experiment

Spontaneous emission from radiative chiral nematic liquid crystals at the photonic band-gap edge: An investigation into the role of the density of photon states near resonance

The characteristics of photon and phonon standing waves in a periodic medium

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