Dyadic Green functions for axially varying fields in helicoidal bianisotropic media

Werner S. Weiglhofer, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Helicoidal bianisotropic media (HBM) are general classes of bianisotropic media characterized by rotational inhomogeneity. The inhomogeneous nature is based on a periodicity of the constitutive parameters in one spatial dimension as defined by the helicoidal axis of the system. The infinite-medium frequency-dependent dyadic Green function formalism is developed for the restricted case of field dependence on one spatial coordinate only, this being the coordinate in direction of the helicoidal axis of the HBM. The dyadic problem for the (inhomogeneous) HBM is transformed into one for equivalent homogeneous bianisotropic media. A closed-form solution for the dyadic Green functions pertaining to axially varying fields is given and particular emphasis is placed on the arising expressions for special cases of HBM, the cholesteric liquid crystals.

Original languageEnglish (US)
Pages (from-to)221-234
Number of pages14
JournalInternational journal of applied electromagnetics in materials
Volume6
Issue number3
StatePublished - Nov 1995

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dyadics
Green's function
Green's functions
Cholesteric liquid crystals
periodic variations
inhomogeneity
liquid crystals
formalism
Direction compound

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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abstract = "Helicoidal bianisotropic media (HBM) are general classes of bianisotropic media characterized by rotational inhomogeneity. The inhomogeneous nature is based on a periodicity of the constitutive parameters in one spatial dimension as defined by the helicoidal axis of the system. The infinite-medium frequency-dependent dyadic Green function formalism is developed for the restricted case of field dependence on one spatial coordinate only, this being the coordinate in direction of the helicoidal axis of the HBM. The dyadic problem for the (inhomogeneous) HBM is transformed into one for equivalent homogeneous bianisotropic media. A closed-form solution for the dyadic Green functions pertaining to axially varying fields is given and particular emphasis is placed on the arising expressions for special cases of HBM, the cholesteric liquid crystals.",
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Dyadic Green functions for axially varying fields in helicoidal bianisotropic media. / Weiglhofer, Werner S.; Lakhtakia, Akhlesh.

In: International journal of applied electromagnetics in materials, Vol. 6, No. 3, 11.1995, p. 221-234.

Research output: Contribution to journalArticle

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T1 - Dyadic Green functions for axially varying fields in helicoidal bianisotropic media

AU - Weiglhofer, Werner S.

AU - Lakhtakia, Akhlesh

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AB - Helicoidal bianisotropic media (HBM) are general classes of bianisotropic media characterized by rotational inhomogeneity. The inhomogeneous nature is based on a periodicity of the constitutive parameters in one spatial dimension as defined by the helicoidal axis of the system. The infinite-medium frequency-dependent dyadic Green function formalism is developed for the restricted case of field dependence on one spatial coordinate only, this being the coordinate in direction of the helicoidal axis of the HBM. The dyadic problem for the (inhomogeneous) HBM is transformed into one for equivalent homogeneous bianisotropic media. A closed-form solution for the dyadic Green functions pertaining to axially varying fields is given and particular emphasis is placed on the arising expressions for special cases of HBM, the cholesteric liquid crystals.

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