Simulation of Conoscopic Figures Using 4 × 4 Matrix Method

Ogasawara, Toyokazu; Akizuki, Tomoo; Takanishi, Yoichi; Ishikawa, Ken; Takezoe, Hideo

doi:10.1080/10587250108025773

Cited by 4 publications

(3 citation statements)

References 9 publications

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“…4, we simulated the conoscopic figures by the 4 Â 4 matrix method. 7) The parameters used were chosen from the experimental results in the present mixture and were n 1 ¼ 1:5, n 2 ¼ 1:50135, n 3 ¼ 1:66, q 0 ¼ 23 (rad/mm), ¼ 15 and L ¼ 100 mm. Here n 1 is a refractive index perpendicular to the molecular long axis and the spontaneous polarization direction, n 2 is that parallel to the spontaneous polarization, and n 3 is that parallel to the molecular long axis.…”

Section: Discussionmentioning

confidence: 99%

Helix Unwinding Process in a Short-Pitch Ferroelectric Liquid Crystal Mixture Studied by Conoscopy

Suwa

Hoshi

Takanishi

et al. 2003

Jpn. J. Appl. Phys.

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The helix unwinding process in a short-pitch chiral smectic C (SmC Ã ) mixture has been studied by means of conoscope observation and its simulation based on the elastic theory and 4 Â 4 matrix method. Upon the application of an electric field parallel to the smectic layer, an isogyre shifts perpendicular to the field keeping a uniaxial figure (low field), splits along the direction parallel to the field (intermediate field), and then changes its splitting direction to that perpendicular to the field. This indicates that the biaxiality of the system changes its sign during the field application. This behavior is essentially the same as that expected on the basis of the simulation obtained by applying the 4 Â 4 matrix method to deformed helices under an electric field. It is also noted that the biaxial figure under the intermediate field is similar to that observed in the ferrielectric SmC Ã (SmC ferri1 ) phase, although it should not be.

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Section: Discussionmentioning

confidence: 99%

Helix Unwinding Process in a Short-Pitch Ferroelectric Liquid Crystal Mixture Studied by Conoscopy

Suwa

Hoshi

Takanishi

et al. 2003

Jpn. J. Appl. Phys.

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“…Correction for the polarization state on passing through the device was included in the same manner shown by Ogasawara et al [41]. The isotropic layers N0 and N2 are treated as glass with a refractive index of 1.5 and the surrounding semi-infinite medium is treated as air in the model, with a refractive index of 1.0.…”

Section: Optical Modelingmentioning

confidence: 99%

Simulation of the viewing properties and optical compensation of the biaxial nematic in-plane switching mode

2011

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Using Berreman 4 × 4 optical methods and continuum theory, we investigate the theoretical viewing properties of a potential homeotropically aligned biaxial nematic display switched with in-plane fields. We determine the isocontrast, isotransmission viewing characteristics for wide-angle viewing for in-plane switching and consider the necessary requirements for optical compensation to produce a high transmission in the bright state and low transmission in the dark state. We show how compensation can be achieved with biaxial compensation layers using a homogeneous biaxial film or from birefringence.

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“…Improved efficiency is desirable when computing transfer matrices because display simulations require solutions of the problem for hundreds of oblique angles of the incident light and numerous wavelengths. A single solution is a small computing problem, but full simulations may be time-consuming [2,5].…”

Section: Introductionmentioning

confidence: 99%