Investigation of exact analytic solution for oblique propagation in chiral sculptured thin films and smectic liquid crystals

John A. Polo; Akhlesh Lakhtakia

doi:10.1117/12.502485

Investigation of exact analytic solution for oblique propagation in chiral sculptured thin films and smectic liquid crystals

Research output: Contribution to journal › Conference article › peer-review

Abstract

An exact matrix polynomial series solution for oblique propagation in chiral sculptured thin films and chiral smectic liquid crystals is numerically examined. An algorithm to surmount the problem of convergence for large propagation distances is presented. The convergence of the series is investigated via calculations for a range of wavelengths, incidence angles, and constitutive parameters. Implementation of the matrix polynomial series solution is also compared with the piecewise uniform permittivity approximation method.

Original language	English (US)
Pages (from-to)	59-68
Number of pages	10
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5218
DOIs	https://doi.org/10.1117/12.502485
State	Published - 2003
Event	PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Complex Mediums IV: Beyond Linear Isotropic Dielectrics - San Diego, CA, United States Duration: Aug 4 2003 → Aug 5 2003

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.502485

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title = "Investigation of exact analytic solution for oblique propagation in chiral sculptured thin films and smectic liquid crystals",

abstract = "An exact matrix polynomial series solution for oblique propagation in chiral sculptured thin films and chiral smectic liquid crystals is numerically examined. An algorithm to surmount the problem of convergence for large propagation distances is presented. The convergence of the series is investigated via calculations for a range of wavelengths, incidence angles, and constitutive parameters. Implementation of the matrix polynomial series solution is also compared with the piecewise uniform permittivity approximation method.",

author = "Polo, {John A.} and Akhlesh Lakhtakia",

year = "2003",

doi = "10.1117/12.502485",

language = "English (US)",

volume = "5218",

pages = "59--68",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

publisher = "SPIE",

note = "PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Complex Mediums IV: Beyond Linear Isotropic Dielectrics ; Conference date: 04-08-2003 Through 05-08-2003",

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TY - JOUR

T1 - Investigation of exact analytic solution for oblique propagation in chiral sculptured thin films and smectic liquid crystals

AU - Polo, John A.

AU - Lakhtakia, Akhlesh

PY - 2003

Y1 - 2003

N2 - An exact matrix polynomial series solution for oblique propagation in chiral sculptured thin films and chiral smectic liquid crystals is numerically examined. An algorithm to surmount the problem of convergence for large propagation distances is presented. The convergence of the series is investigated via calculations for a range of wavelengths, incidence angles, and constitutive parameters. Implementation of the matrix polynomial series solution is also compared with the piecewise uniform permittivity approximation method.

AB - An exact matrix polynomial series solution for oblique propagation in chiral sculptured thin films and chiral smectic liquid crystals is numerically examined. An algorithm to surmount the problem of convergence for large propagation distances is presented. The convergence of the series is investigated via calculations for a range of wavelengths, incidence angles, and constitutive parameters. Implementation of the matrix polynomial series solution is also compared with the piecewise uniform permittivity approximation method.

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DO - 10.1117/12.502485

M3 - Conference article

AN - SCOPUS:0344943985

SN - 0277-786X

VL - 5218

SP - 59

EP - 68

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Complex Mediums IV: Beyond Linear Isotropic Dielectrics

Y2 - 4 August 2003 through 5 August 2003

ER -

Investigation of exact analytic solution for oblique propagation in chiral sculptured thin films and smectic liquid crystals

Abstract

All Science Journal Classification (ASJC) codes

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