### Citations

144 |
Wave Propagation and Scattering
- Ishimaru
- 1978
(Show Context)
Citation Context ...our results are in good agreement with those by Lindell and Silverman [21] when ka = 1. The Born approximation is an approximate method for the scattering problem and it is valid when 2(s − 1)ka 1 =-=[30]-=-, whereas our method is a rigorous method using the full-wave analysis and it is valid for electromagnetic scattering by a sphere of arbitrary dimension. Therefore, our results differ significantly fr... |

29 | Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab, J Opt Soc Am A 5 - Bassiri, Papas, et al. - 1988 |

26 |
On electromagnetic waves in chiral media
- Jaggard, Mickelson, et al.
- 1979
(Show Context)
Citation Context ... literature. However, the problem of an achiral object buried in a chiral environment have not been well studied, to our best knowledge. The only representative references available in this topic are =-=(1)-=- a theoretical and numerical analysis of an achiral object buried in a chiral background using the Born approximation from the volumetric integral equation method by Lindell and Silverman [21], (2) th... |

23 |
Light scattering by an optically active sphere
- Bohren
- 1974
(Show Context)
Citation Context ...m. In a chiral medium without source distributions, the wave equation with constitutive relation is ∇2 [ E H ] + [k]2 [ E H ] = 0, (2a) where [k] = [ −ωχ1 −jωµ1 jω1 −ωχ1 ] . (2b) By following Bohren =-=[12]-=-, the coupling caused by [k] in the wave equation can be removed by diagonalizing [k] such that [A]−1[k][A] = [ −kR 0 0 kL ] . (3) A simple form of [A] is then found to be [A] = [ 1 1 − jη1 j η1 ] (4)... |

13 | Scattering and absorption characteristics of lossy dielectric, chiral, nonspherical objects - Lakhtakia, Varadan, et al. - 1985 |

13 |
Scattering of electromagnetic waves by an opticall! active cylinder
- Bohren
- 1975
(Show Context)
Citation Context ...dic Green’s function should be obtained at first. Using the method of scattering superposition, we write the dyadic Green’s function as follows: G (fs) e (r, r ′) = Ge0(r, r′)δsf +G (fs) es (r, r ′), =-=(15)-=- where the superscript (fs) denotes the cases where the field point (in the f th-region) and source point (in the sth-region) are located, respectively, while the subscript s identifies the scattering... |

10 |
Modes in chirowaveguides
- Engheta, Pelet
- 1989
(Show Context)
Citation Context ...12], the coupling caused by [k] in the wave equation can be removed by diagonalizing [k] such that [A]−1[k][A] = [ −kR 0 0 kL ] . (3) A simple form of [A] is then found to be [A] = [ 1 1 − jη1 j η1 ] =-=(4)-=- with the chiral wave impedance given by: η1 = √ µ1 1 . (5) The propagation constant k1 in the chiral medium is designated generally as k21 = ω 2(µ1ε1 − χ1), (6) and the symbol ξ1 is defined by ξ1 = ... |

10 |
Scattering by a multilayer chiral cylinder
- Kluskens, Newman
- 1991
(Show Context)
Citation Context ... ′(3) e omn (k2) + C1124W (3)e omn (k2)W ′(3) e omn (k2) +C1132V eomn(k2)V ′(3) e omn (k2) + C1142W eomn(k2)V ′(3) e omn (k2) + C1134V eomn(k2)W ′(3) e omn (k2) + C1144W eomn(k2)W ′(3) e omn (k2) } , =-=(16)-=- where k2 = ωµ22 is the wave number in the dielectric coated region which is denoted by subscript 2. In the outmost region, the dyadic Green’s function is expressed: G (11) e (r, r ′) = i 2π ( k (R) ... |

9 |
Dyadic Green’s function and dipole radiation in chiral media
- Bassiri, Engheta, et al.
- 1986
(Show Context)
Citation Context ...infinitely extended chiral medium are expanded in terms of spherical harmonics. The dyadic Green’s functions for the unbounded chiral medium and multilayered spherically chiral media are available in =-=[26, 27, 10]-=-. The dyadic Green’s function for a conducting sphere with a dielectric coated layer buried in a chiral host medium is represented in this paper. The scattered field can be obtained by integrating the... |

8 |
Spectral-domain dyadic Green’s function in layered chiral media
- Ali, Habashy, et al.
- 1992
(Show Context)
Citation Context ... the chiral wave impedance given by: η1 = √ µ1 1 . (5) The propagation constant k1 in the chiral medium is designated generally as k21 = ω 2(µ1ε1 − χ1), (6) and the symbol ξ1 is defined by ξ1 = ωχ1. =-=(7)-=- Hence, there are two circularly polarized modes present in the unbounded medium, i.e., the right- and left-handed circularly polarized (RCP and LCP) waves. Their corresponding wave numbers are given ... |

8 |
Electromagnetic oblique scattering by a cylinder coated with chiral layers and anisotropic jump-immittance sheets
- Graglia, Uslenghi, et al.
- 1992
(Show Context)
Citation Context ...an achiral multilayered sphere 269 +C1122W (3)e omn ( k (L) 1 ) V ′(3) e omn ( k (R) 1 ) +C1114V (3)e omn ( k (R) 1 ) W ′(3) e omn ( k (L) 1 ) +C1124W (3)e omn ( k (L) 1 ) W ′(3) e omn ( k (L) 1 )} . =-=(17)-=- Assume the radius of the conducting sphere is a and the thickness of the dielectric coated layer is b − a. The electric type of DGF satisfies the following boundary conditions at the spherical interf... |

7 |
Spectral dyadic Green’s function formulation for planar integrated structures
- Vegni, Cicchetti, et al.
- 1988
(Show Context)
Citation Context ...Silverman [21], (2) theoretical formulations of an achiral dielectric sphere [22] and a coated dielectric sphere [23, 22] both buried in a chiral background using the matched boundary conditions, and =-=(3)-=- a theoretical formulation of a homogeneous chiral scatterer immersed in another homogeneous chiral medium using the transition matrix (T-matrix) method [24]. It should be pointed out that (1) the res... |

6 |
Reflection and refraction at the surface of a chiral medium: Comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation
- Silverman
- 1986
(Show Context)
Citation Context ...re (1) a theoretical and numerical analysis of an achiral object buried in a chiral background using the Born approximation from the volumetric integral equation method by Lindell and Silverman [21], =-=(2)-=- theoretical formulations of an achiral dielectric sphere [22] and a coated dielectric sphere [23, 22] both buried in a chiral background using the matched boundary conditions, and (3) a theoretical f... |

5 |
Antenna radiation in the presence of a chiral sphere
- Engheta, Kowarz
- 1990
(Show Context)
Citation Context ...removed by diagonalizing [k] such that [A]−1[k][A] = [ −kR 0 0 kL ] . (3) A simple form of [A] is then found to be [A] = [ 1 1 − jη1 j η1 ] (4) with the chiral wave impedance given by: η1 = √ µ1 1 . =-=(5)-=- The propagation constant k1 in the chiral medium is designated generally as k21 = ω 2(µ1ε1 − χ1), (6) and the symbol ξ1 is defined by ξ1 = ωχ1. (7) Hence, there are two circularly polarized modes pre... |

5 |
equations, Huygens’s principle, integral equations, and theorems for radiation and scattering of electromagnetic waves in isotropic chiral media
- Lakhtakia, Varadan, et al.
- 1988
(Show Context)
Citation Context ...ized (RCP and LCP) waves. Their corresponding wave numbers are given by k (R) 1 = ξ1 + ω √ µ1ε1, (8a) k (L) 1 = −ξ1 + ω √ µ1ε1. (8b) 266 Li et al. Define (E(R), E(L)) as [ E H ] = [A] [ E(R) E(L) ] . =-=(9)-=- It has been shown that E(R) and E(L) are the electric fields of right- and left-handed circularly polarized waves with propagation constants k(R)1 and k (L) 1 . Thus the decoupled source-free wave eq... |

5 |
A general expression of dyadic Green’s function in radially multilayered chiral media
- Li, Kooi, et al.
- 1995
(Show Context)
Citation Context ...infinitely extended chiral medium are expanded in terms of spherical harmonics. The dyadic Green’s functions for the unbounded chiral medium and multilayered spherically chiral media are available in =-=[26, 27, 10]-=-. The dyadic Green’s function for a conducting sphere with a dielectric coated layer buried in a chiral host medium is represented in this paper. The scattered field can be obtained by integrating the... |

4 | Electromagnetic scattering from a chiral cylinder-general case - Chen, Hong, et al. - 1996 |

3 |
Electromagnetic scattering by an inhomogeneous chiral sphere of varying permittivity: A discrete analysis using multilayered model
- Li, Dan, et al.
- 1999
(Show Context)
Citation Context ...]2 V (1) e omn (k(R)s )V ′e omn (k(R)s ) + [ k (L) s ]2 W (1) e omn (k(L)s )W ′e omn (k(L)s ), [ k (R) s ]2 V e omn (k(R)s )V ′(1) e omn (k(R)s ) + [ k (L) s ]2 W e omn (k(L)s )W ′(1) e omn (k(L)s ), =-=(11)-=- where the prime denotes the coordinates (r′, θ′, φ′) of the current source Jf , m and n identify the eigenvalue parameters, and δ0 = 1 for m = 0 or n = 0 and δ0 = 0 otherwise. The superscript (3) den... |

3 |
An efficient calculational approach to evaluation of microwave specific attenuation,” Accepted by
- Li, Yeo, et al.
- 1999
(Show Context)
Citation Context ...The numerical calculations can be readily achieved by using the software of MathematicaTM [28]. 2.4. Sources Located at Infinity Which Generate Plane Waves By following a procedure similar to that in =-=[29]-=-, the assumed source located at infinity can be written as: JI(r′) = EIf(r0)δ(r′′)θ̂ = EIf(r0) δ(r′′)δ(θ′′)δ(φ′′) [r′′]2 sin θ′′ θ̂, (19a) JII(r′) = EIIf(r0)δ(r′′)φ̂ = EIIf(r0) δ(r′′)δ(θ′′)δ(φ′′) [r′′... |

2 | Integral equations for the scattering by a three dimensional inhomogeneous chiral body - Rojas - 1992 |

2 |
Wave scattering by a chiral spheroid
- Cooray, Ciric
(Show Context)
Citation Context ...al environment has been well documented. Exact or analytic solutions for electromagnetic scattering by a chiral sphere [12–14, 11], circular cylinder(s) [15–18], spherical shells [19], and a spheroid =-=[20]-=- are available in literature. However, the problem of an achiral object buried in a chiral environment have not been well studied, to our best knowledge. The only representative references available i... |

2 |
Plane-wave scattering from a nonchiral object in a chiral environment
- Lindell, Silverman
- 1997
(Show Context)
Citation Context ...opic are (1) a theoretical and numerical analysis of an achiral object buried in a chiral background using the Born approximation from the volumetric integral equation method by Lindell and Silverman =-=[21]-=-, (2) theoretical formulations of an achiral dielectric sphere [22] and a coated dielectric sphere [23, 22] both buried in a chiral background using the matched boundary conditions, and (3) a theoreti... |

1 |
Dyadic Green’s functions and dipole radiations in layered chiral media
- Wei
(Show Context)
Citation Context ... found to be [A] = [ 1 1 − jη1 j η1 ] (4) with the chiral wave impedance given by: η1 = √ µ1 1 . (5) The propagation constant k1 in the chiral medium is designated generally as k21 = ω 2(µ1ε1 − χ1), =-=(6)-=- and the symbol ξ1 is defined by ξ1 = ωχ1. (7) Hence, there are two circularly polarized modes present in the unbounded medium, i.e., the right- and left-handed circularly polarized (RCP and LCP) wave... |

1 |
Scattering of electromagnetic waves on spherically symmetrical particles in a naturally gyrotropic medium
- Godlevskaya, Kapshai
- 1990
(Show Context)
Citation Context ...] dr′ = f(r0)R [ EI,Rθ̂ EII,Rφ̂ ] ·δ(r”)δ(θ”)δ(φ”)dr”dθ”dφ”, (21a)[ JI,L(r′) JII,L(r′) ] dr′ = f(r0)L [ EI,Lθ̂ EII,Lφ̂ ] ·δ(r”)δ(θ”)δ(φ”)dr”dθ”dφ”, (21b) where f(r0)(R,L) = i4π ωµ1 r0e −ik(R,L)1 r0 . =-=(22)-=- 2.5. Incident Waves To obtain the incident waves of parallel and perpendicular polarizations, the radiation-to-scattering transform [25] is utilized. Since the host chiral medium is infinitely extend... |

1 |
Serdyokov, “Scattering of electromagnetic waves by a two-layer spherical particle in a naturally gyrotropic medium
- Afonin, Godlevskaya, et al.
- 1990
(Show Context)
Citation Context ...ing the Born approximation from the volumetric integral equation method by Lindell and Silverman [21], (2) theoretical formulations of an achiral dielectric sphere [22] and a coated dielectric sphere =-=[23, 22]-=- both buried in a chiral background using the matched boundary conditions, and (3) a theoretical formulation of a homogeneous chiral scatterer immersed in another homogeneous chiral medium using the t... |

1 |
Elec298 Li et al. tromagnetic scattering by multilayered chiral-media structures: A scattering-to-radiation transform
- Li, You, et al.
- 2000
(Show Context)
Citation Context ...reveal some new physical phenomena. In this present paper, we utilize the radiation-to-scattering transform to find the scattered field more accurately. According to radiation-to-scattering transform =-=[25]-=-, the scattering problem can be considered as the specific radiation problems where the radiating source is located at infinity which generates the plane wave. Since the wave equation in the unbounded... |

1 |
the 4th edition
- Wolfram, Mathematica
- 1999
(Show Context)
Citation Context ...ions. The complete expressions for scattering coefficients are omitted here due to their lengthy expressions. The numerical calculations can be readily achieved by using the software of MathematicaTM =-=[28]-=-. 2.4. Sources Located at Infinity Which Generate Plane Waves By following a procedure similar to that in [29], the assumed source located at infinity can be written as: JI(r′) = EIf(r0)δ(r′′)θ̂ = EIf... |