1988
DOI: 10.1364/josaa.5.001863
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Scattering matrix method for propagation of radiation in stratified media: attenuated total reflection studies of liquid crystals

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Cited by 241 publications
(122 citation statements)
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“…The plane waves are then modulated by the wide angle and multiple beam interferences that arise from reflections onto the one-dimensional CLC stack. The reflection of plane waves with given k-vector and arbitrary polarization on the CLC stack is described by a matrix method [22]. First the power emitted by a unit dipole P (λ,α) in a given CLC stack is calculated for each angle and wavelength separately.…”
Section: B Plane Wave Expansion Simulationmentioning
confidence: 99%
“…The plane waves are then modulated by the wide angle and multiple beam interferences that arise from reflections onto the one-dimensional CLC stack. The reflection of plane waves with given k-vector and arbitrary polarization on the CLC stack is described by a matrix method [22]. First the power emitted by a unit dipole P (λ,α) in a given CLC stack is calculated for each angle and wavelength separately.…”
Section: B Plane Wave Expansion Simulationmentioning
confidence: 99%
“…In addition in real liquid crystal cells significant variations of the director twist and tilt through the layer will generally exist and these very important situations have to be considered. Thus for most investigation of liquid crystal waveguides simple analytic expressions tend not to be utilised, instead full multilayer optics theory [22][23][24][25] is used to model reflectivities, transmissivities and optical field profiles. This then allows the incorporation of the full optical tensor with a spatially varying (through the cell) director profile, allowing the prediction of optical response functions which may be used to compare with data.…”
Section: The Field Distributions Of Optical Guided Modes [56]mentioning
confidence: 99%
“…All eight datasets for each time were then fitted to simultaneously using a multilayer optics model based on a 4 ϫ 4 Berreman matrix 12 with the best-fit determined from a least-squares fitting routine. As the optical parameters for the ITO, polyimides, and liquid crystal had been previously determined, these were fixed, and only the tilt profile ͑described mathematically by a Bezier function to allow good control over the start and end tilt points, as well as the form of the profile in the centre of the cell͒ was allowed to vary.…”
mentioning
confidence: 99%