Numerical Calculation of Optical Eigenmodes in Cholesteric Liquid Crystals by 4×4 Matrix Method

Sugita, A.; Takezoe, Hideo; Ouchi, Yukio; Fukuda, Atsuo; Kuze, Eiichi; Goto, Nobuyuki

doi:10.1143/jjap.21.1543

Cited by 43 publications

(15 citation statements)

References 11 publications

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“…3(b) indicate that a linear increase in θ ring occurs with increasing Δn. In accordance with a similar simulation step described in our previous study [11], the simulation result for dispersion relations (obtained using Berreman's 4 × 4 matrix approach) for a planar CLC structure [17] with various values of Δn yields the simulated oblique angles (θ overlap ). In these angles, the LWE of the corresponding CLCRB overlaps with the SWE of the CLCRB for 0° [represented by the open diamond ◇ in Fig.…”

Section: Resultssupporting

confidence: 54%

Novel dye-doped cholesteric liquid crystal cone lasers with various birefringences and associated tunabilities of lasing feature and performance

Lin¹,

Lee²

2011

Opt. Express

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This study is the first to investigate novel cone lasers and the tunabilities of their lasing feature and performance based on dye-doped cholesteric liquid crystal (DDCLC) films with various LC birefringences (Δn). A unique conically-symmetric lasing ring with a low energy threshold occurs at a specific nonzero oblique angle (θ(ring)). The low energy threshold is comparable to those for common lasing signals occurring simultaneously at the short- and long-wavelength edges (SWE and LWE) of the CLC reflection band (CLCRB) for 0°. The lasing ring is induced by the enhancement in the density of photonic state for the fluorescence with a wavelength of λ(ring) based on an edge-overlapping effect, in which λ(ring) is just located at an edge-overlapping spectral position of the SWE of the CLCRB for 0° and the LWE of the CLCRB for θ(ring). The lasing feature (i.e., the lasing wavelengths of the three lasing signals and the emitted angle of the lasing ring) are tuned by varying Δn. The simulated relationship of an oblique angle with Δn, in which the SWE of the CLCRB for that oblique angle just overlaps the LWE of the CLCRB for 0°, can be obtained by calculating the dispersion relation of a planar CLC structure with various values of Δn based on Berreman's 4 × 4 matrix approach. The result of the calculation is highly consistent with the experimental data for the dependence of θ(ring) on Δn. Furthermore, the dependence of lasing performance (energy threshold and relative slope efficiency) on Δn for the three lasing signals is also measured, which findings can be used to qualitatively identify positive interaction or competition among the three lasing signals.

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Section: Resultssupporting

confidence: 54%

Novel dye-doped cholesteric liquid crystal cone lasers with various birefringences and associated tunabilities of lasing feature and performance

Lin¹,

Lee²

2011

Opt. Express

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“…6(b) shows a magnification of k´ for =25, 50 and 75º. It can be observed that as  increases the first-order characteristic reflection band widens and shifts toward higher photon energies [14,15]. Other characteristics of the reflection band largely depend on the refractive indices.…”

Section: Dispersion Relation Of Optical Modes In Chnlc Structuresmentioning

confidence: 99%

“…Bragg reflection at oblique incidence of single and multidomain ChNLC is also well understood from experimental and theoretical studies [10][11][12][13] as well as from calculations of the dispersion relation of the optical modes [14][15][16][17]. In contrast, research on the polarization properties of beetle cuticles at oblique incidence is at its beginning.…”

Section: Introductionmentioning

confidence: 99%

Evidence for a dispersion relation of optical modes in the cuticle of the scarab beetle Cotinis mutabilis

Mendoza-Galván¹,

Muñoz-Pineda²,

Järrendahl³

et al. 2014

Opt. Mater. Express

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Variable angle Mueller matrix spectroscopic ellipsometry is used to study the properties of light reflected from the exoskeleton (cuticle) of the scarab beetle Cotinis mutabilis. For unpolarized incident light, the ellipticity and degree of polarization of the reflected light reveal a left-handed helical structure in the beetle cuticle. Analysis of the spectral position of the maxima and minima in the interference oscillations of the Mueller-matrix elements provides evidence for a dispersion relation similar to that of optical modes in chiral nematic liquid crystals calculated within a two-wave approximation. Additionally, a structural model for the cuticle of C. mutabilis is derived from the properties of the optical modes for nonattenuated propagation or selective reflection.

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“…It can be explained in terms of the total reflection predicted for a first time in Ref. 27 and experimentally studied in Ref. 28.…”

Section: Discussionmentioning

confidence: 89%

Multiwave out-of-normal band-edge lasing in cholesteric liquid crystals

Palto

Shtykov

Umanskiĭ

et al. 2012

Journal of Applied Physics

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Highly efficient twisted nematic liquid crystal polarization gratings achieved by microrubbing Appl. Phys. Lett. 101, 041107 (2012) A polarization-independent liquid crystal phase modulation using polymer-network liquid crystals in a 90° twisted cell J. Appl. Phys. 112, 024505 (2012) Fast switchable grating based on orthogonal photo alignments of ferroelectric liquid crystalsWe have investigated the lasing effect in dye-doped cholesteric liquid crystals, where the photonic stop-band for light propagating along the helical axis coinciding with the layer normal is strongly shifted to longer wavelengths with respect to the luminescence band of the dye. In the absence of overlapping of the photonic and luminescence bands, the well-known lasing effect along the normal at the stop-band edges is forbidden. However, the lasing is still allowed for out-of-normal directions, for which the photonic band is shifted to shorter wavelengths corresponding to the luminescence band. Despite of the out-of-normal light propagation, the positive feedback necessary for the lasing is still available in a case of the monodomain cholesteric layer, when its thickness is much less than the optical pumping aperture. We have observed a significantly increased energy threshold for the out-of-normal lasing modes despite they are characterized by lower threshold gain compared to the modes propagating along the helix axis. The increased energy threshold is explained in terms of continuous distribution of the lasing emission over a large angular sector and energy leakage caused by the leaky lasing into the substrates. V C 2012 American Institute of Physics. [http://dx.

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Numerical Calculation of Optical Eigenmodes in Cholesteric Liquid Crystals by 4×4 Matrix Method

Cited by 43 publications

References 11 publications

Novel dye-doped cholesteric liquid crystal cone lasers with various birefringences and associated tunabilities of lasing feature and performance

Novel dye-doped cholesteric liquid crystal cone lasers with various birefringences and associated tunabilities of lasing feature and performance

Evidence for a dispersion relation of optical modes in the cuticle of the scarab beetle Cotinis mutabilis

Multiwave out-of-normal band-edge lasing in cholesteric liquid crystals

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