Optical properties of isotropic chiral media

Lekner, John

doi:10.1088/0963-9659/5/4/008

Cited by 122 publications

(96 citation statements)

References 25 publications

(62 reference statements)

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“…should not be confused with optical activity in chiral media, see, e.g., [24].) The appearance of nonorthogonal and chiral modes in the spiral cavity has been traced back to the asymmetric scattering between CW and CCW propagating waves at the notch [22].…”

Section: Introductionmentioning

confidence: 99%

Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities

Wiersig¹,

Eberspächer²,

Shim³

et al. 2011

Phys. Rev. A

108

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Recently, it has been shown that spiral-shaped microdisk cavities support highly nonorthogonal pairs of copropagating modes with a preferred sense of rotation (spatial chirality) [Wiersig et al., Phys. Rev. A 78, 053809 (2008)]. Here, we provide numerical evidence which indicates that such pairs are a common feature of deformed microdisk cavities which lack mirror symmetries. In particular, we demonstrate that discontinuities of the cavity boundary such as the notch in the spiral cavity are not needed. We find a quantitative relation between the nonorthogonality and the chirality of the modes which agrees well with the predictions from an effective non-Hermitian Hamiltonian. A comparison to ray-tracing simulations is given.

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Section: Introductionmentioning

confidence: 99%

Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities

Wiersig¹,

Eberspächer²,

Shim³

et al. 2011

Phys. Rev. A

108

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“…The parameters ǫ, µ and γ are the dielectric permittivity, the magnetic permeability and the chiral index respectively [17][18][19]. Some researchers use alternative constitutive relations [20,21] …”

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confidence: 99%

Theory of the propagation of coupled waves in arbitrarily inhomogeneous stratified media

Kim¹,

Lee²,

Lim³

2005

Europhys. Lett.

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PACS. 41.20.Jb -Electromagnetic wave propagation; radiowave propagation. PACS. 42.25.Bs -Wave propagation, transmission and absorption. PACS. 42.70.Qs -Photonic bandgap materials.Abstract. -We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the wave equations are effectively one-dimensional. By doing this, we transform the original boundary value problem of coupled second-order differential equations to an initial value problem of coupled first-order differential equations, which makes the numerical solution of the coupled wave equations much easier. Using the invariant imbedding equations, we are able to calculate the matrix reflection and transmission coefficients and the wave amplitudes inside the inhomogeneous media exactly and efficiently. We establish the validity and the usefulness of our results by applying them to the propagation of circularly-polarized electromagnetic waves in one-dimensional photonic crystals made of isotropic chiral media. We find that there are three kinds of bandgaps in these structures and clarify the nature of these bandgaps by exact calculations.Introduction. -The phenomena of the coupling of two or more wave modes in inhomogeneous media and mode conversion between them are ubiquitous in various branches of science, including plasma physics, optics, condensed matter physics and electrical engineering [1][2][3][4][5][6]. In this Letter, we develop a generalization of the powerful invariant imbedding method [6][7][8][9][10][11][12][13] to the case of several coupled waves in stratified media. Starting from a very general wave equation of a matrix form, we derive a new version of the invariant imbedding equations for calculating the reflection and transmission coefficients and the field amplitudes. By doing this, we transform the original boundary value problem of coupled second-order differential equations to an initial value problem of coupled first-order differential equations. This makes the numerical solution of the coupled wave equations much easier. Furthermore, our equations have a great advantage that there is no singular coefficient even in the cases where the material parameters change discontinuously at the boundaries and inside the inhomogeneous medium. We check the validity and the usefulness of our invariant imbedding equations by applying them to the propagation of electromagnetic waves in stratified chiral media. By calculating

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“…Besides one more important outcome should be from these expressions: the power transmission T and reflection R coefficients are independent of the chirality parameter. Now in accordance to the aim of our study let us find the rotation angle of the polarization plane θ for the linearly polarized electromagnetic wave as the ratio of the transmitted wave electromagnetic field tangential components in medium 3 [6,9,10]:…”

Section: Theoretical Calculation Of Transmission and Reflection Coeffmentioning

confidence: 98%

“…Note that expressions (6) are suitable for the determination of transmitted and reflected waves of the electromagnetic field through the layered structure consisting of m chiral layers. Moreover, the propagation matrix M equals the product of the propagation matrices for single chiral layers,…”

Section: Theoretical Study Of the Band Structure Of Spectrum Of Electmentioning

confidence: 99%

“…On the other hand, wave propagation through the chiral media and single chiral layers is of large interest now. For example, in [6] some interesting phenomena occurring at the interface of chiral media and in a single chiral layer were analyzed using matrix technique. Besides, the calculation of layered chiral media using transfer matrix technique is given in [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic Wave Propagation in the Finite Periodically Layered Chiral Medium

Beletskii¹,

Polevoy²,

Tarapov³

2014

PIER M

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Abstract-The transmission and reflection coefficients of electromagnetic waves propagating through the finite periodically layered chiral structure are defined both theoretically (using the propagation matrix method) and experimentally. The coefficients of the propagation matrix of the periodically layered chiral medium are obtained. The boundaries of the forbidden bands for a periodic medium, whose unit cell consists of two different chiral layers were determined. It is shown that the boundaries of the forbidden bands do not depend on the chirality parameter of the layers. It is found that for certain values of the layers thicknesses, the forbidden band widths tend to zero and that the proposed method for calculation of the reflection and transmission coefficients can be used to determine the effective constitutive parameters of artificial chiral metamaterials. The transmission and reflection coefficients of plane electromagnetic waves propagated through the finite periodically layered chiral structure were determined experimentally for 20-40 GHz range. A good agreement between the experimental results and theoretical studies of the forbidden band spectrum for the structure under research has been shown.

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Optical properties of isotropic chiral media

Cited by 122 publications

References 25 publications

Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities

Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities

Theory of the propagation of coupled waves in arbitrarily inhomogeneous stratified media

Electromagnetic Wave Propagation in the Finite Periodically Layered Chiral Medium

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