Analysis of diffraction in periodic liquid crystals: the optics of the chiral smectic C phase

Rokushima, Katsu; Yamakita, Jiro

doi:10.1364/josaa.4.000027

Cited by 32 publications

(10 citation statements)

References 9 publications

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“…The approach proposed is a development of the Rokushima-Yamakita method 35,36 to calculate the transmission of anisotropic dielectric gratings including chiral smectic liquid crystals. The difference is the use of a method for calculating the boundary matrixes of the transmittance of the light field for the gratings developed in Ref.…”

Section: Bases Of the Methodsmentioning

confidence: 99%

Physical properties of stretched polymeric substrates with periodic microrelief for optical diffraction elements and liquid‐crystal alignment

Belyaev¹,

Chistovskaya²,

Konovalov³

et al. 2003

J Soc Info Display

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Abstract— The effect of the formation of a periodic surface microrelief while stretching the polymeric substrates with thin hard coatings under specified conditions (a processing temperature lower than the glassing temperature, an elongation magnitude up to 250%, an elongation velocity <5 mm/min) is described. The microrelief period varies in the range from 0.5 μm up to hundreds of micrometers, the height up to 1 μm. The polar and azimuthal orientation of a liquid crystal on the surface of such substrates was studied. Methods are proposed to measure low values of the optical path length in media Δn ∼ λ and components of LC anchoring energy on microreliefed surfaces. The simulation description of the light diffraction in optical anisotropic materials is proposed on the basis of the Rokushima‐Yamakita approach for periodical media. An opportunity for the creation of various optical components on the basis of this effect was considered, namely, diffraction gratings, optical compensators, and various types of light‐scattering elements.

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Section: Bases Of the Methodsmentioning

confidence: 99%

Physical properties of stretched polymeric substrates with periodic microrelief for optical diffraction elements and liquid‐crystal alignment

Belyaev¹,

Chistovskaya²,

Konovalov³

et al. 2003

J Soc Info Display

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“…In practice, for higher-order harmonics, large values in exponential functions may cause overflow problems in numerical calculations. These can be avoided using suitable normalizations proposed by Rokushima and Yamakita [67].…”

Section: Transmission Matrices and Interface Matricesmentioning

confidence: 99%

Optics of anisotropic nanostructures

et al. 2006

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The analytical formalism of Rokushima and Yamakita [J. Opt. Soc. Am. 73, 901-908 (1983)] treating the Fraunhofer diffraction in planar multilayered anisotropic gratings proved to be a useful introduction to new fundamental and practical situations encountered in laterally structured periodic (both isotropic and anisotropic) multilayer media. These are employed in the spectroscopic ellipsometry for modeling surface roughness and in-depth profiles, as well as in the design of various frequency-selective elements including photonic crystals. The subject forms the basis for the solution of inverse problems in scatterometry of periodic nanostructures including magnetic and magneto-optic recording media. It has no principal limitations as for the frequencies and period to radiation wavelength ratios and may include matter wave diffraction. The aim of the paper is to make this formalism easily accessible to a broader community of students and non-specialists. Many aspects of traditional electromagnetic optics are covered as special cases from a modern and more general point of view, e.g., plane wave propagation in isotropic media, reflection and refraction at interfaces, Fabry-Perot resonator, optics of thin films and multilayers, slab dielectric waveguides, crystal optics, acousto-, electro-, and magneto-optics, diffraction gratings, etc. The formalism is illustrated on a model simulating the diffraction on a ferromagnetic wire grating.

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“…On substituting (11) into (10), eliminating E z because it is irrelevant in the context of the boundary value problems of interest [6,14], and using (12), product terms arise in the second term on the right side of (10) whose phase (approximately) matches that of the oppositely propagatin g components in the ® rst term on the right side of (10). Equating such terms, we obtain…”

Section: Coupled Wave Propagationmentioning

confidence: 99%

“…John et al [10] used a piecewise homogeneous approximation for identifying ® rst-order Bragg re¯ection by chiral nematic liquid crystals. Rokushima and Yamakita [11] used the CWT for ® rst-and second-order Bragg re¯ections by chiral smectic liquid crystals.…”

Section: Introductionmentioning

confidence: 99%

Development and assessment of coupled wave theory of axial propagation in thin-film helicoidal bianisotropic media. Part 1: reflectances and transmittances

McCall¹

2000

Journal of Modern Optics

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Abstrac t.T he coupled wave theory (CWT ) for axial propagation of light in dielectric thin-® lm helicoidal bianisotropic media is presented and compared with the full electromagnetic analysis (FEMA). T wo sets of formulas are developed for the location and bandwidth of the wavelength regime wherein the circular Bragg phenomenon is exhibited. Multi-layer structures are also analysed using the CWT , the location of the spectral hole in a class of threelayer structures being determined analytically. Absorption and dispersion e ects are considered.

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Analysis of diffraction in periodic liquid crystals: the optics of the chiral smectic C phase

Cited by 32 publications

References 9 publications

Physical properties of stretched polymeric substrates with periodic microrelief for optical diffraction elements and liquid‐crystal alignment

Physical properties of stretched polymeric substrates with periodic microrelief for optical diffraction elements and liquid‐crystal alignment

Optics of anisotropic nanostructures

Development and assessment of coupled wave theory of axial propagation in thin-film helicoidal bianisotropic media. Part 1: reflectances and transmittances

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