Eikonal equation, alternative expression of Fresnel's equation and Möhr's construction in optical anisotropic media

Bellver-Cebreros, Consuelo; Rodríguez-Danta, Marcelo

doi:10.1016/s0030-4018(01)01028-8

Cited by 8 publications

(13 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In dealing with non-conducting media free of currents and charges (j = 0; = 0), the relation of dispersion or general plane wave equation can also be written as [22]:…”

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

“…On the other hand, in [22] the authors propose an alternative expression of Fresnel's equation of wave normals in terms of intrinsic components (τ n , σ n ) of bound vector ε n . This equation reads:…”

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

“…Let n(α 1 , α 2 , α 3 ) be an unit vector along any direction of propagation given by n = k/k. Intrinsic components of vector ε n bound to n verify the following three equations [22]:…”

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

“…In [22], it was shown that in uniaxial right-handed media, vector ε n is collinear with the extraordinary ray direction.…”

Section: Ray Tracing In Rhm and Lhm Indefinite Media With Dielectric ...mentioning

confidence: 99%

“…In uniaxial left-handed media, ε n also lies in the same plane that ν, ε ν and n. Since the angle between E and D is the same as the angle between t and n and Cauchy's theorem [22] states that ε n • ν (= n • ε ν ) also vanishes, vector ε n is collinear with t, but may be antiparallel.…”

Section: Ray Tracing In Rhm and Lhm Indefinite Media With Dielectric ...mentioning

confidence: 99%

See 4 more Smart Citations

Geometrical Analysis of Wave Propagation in Left-Handed METAMATERIALS.PART I

Bellver-Cebreros¹,

Rodríguez-Danta²

2008

PIER C

Self Cite

View full text Add to dashboard Cite

Geometrical analyses of basic equations of electromagnetics waves propagation in anisotropic dielectric materials with magnetic isotropy are presented in two complementary papers (Part I and Part II). In the present one, analysis arises from quadrics associated with relative dielectric tensor (ε) compatible with conical surfaces that represent the general plane wave equation (relation of dispersion). This study systematizes rays propagation in left-handed materials (LHMs) exhibiting dielectric anisotropy and magnetic isotropy.In particular, indefinite dielectric media where dielectric permittivities are not all the same sign, have been investigated. Graphical alternative procedures for ray tracing in these media are presented.

show abstract

“…In dealing with non-conducting media free of currents and charges (j = 0; = 0), the relation of dispersion or general plane wave equation can also be written as [22]:…”

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

“…Let n(α 1 , α 2 , α 3 ) be an unit vector along any direction of propagation given by n = k/k. Intrinsic components of vector ε n bound to n verify the following three equations [22]:…”

Section: Geometrical Interpretation Of Plane Wave Equationmentioning

confidence: 99%

“…In [22], it was shown that in uniaxial right-handed media, vector ε n is collinear with the extraordinary ray direction.…”

Section: Ray Tracing In Rhm and Lhm Indefinite Media With Dielectric ...mentioning

confidence: 99%

Section: Ray Tracing In Rhm and Lhm Indefinite Media With Dielectric ...mentioning

confidence: 99%

See 3 more Smart Citations