Irregular Magneto-Optical Waveguides

Manenkov, A. B.

doi:10.1109/tmtt.1981.1130472

Cited by 20 publications

(30 citation statements)

References 5 publications

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“…For the inner region ρ < a, the corresponding quantities will be denoted by the tilde (ε 1,2,3 ,μ 1,2,3 , etc.). It is to be emphasized that at first we will consider the case in which τ g = 0 in (9) and (10). Then the special case τ g = 0 where the outer medium has the property of uniaxial anisotropy [30] will be discussed.…”

Section: Basic Formulationmentioning

confidence: 99%

“…If q = q k and A = in k q k /ε 3 , then, for a fixed k, the particular solution of Equations (9) and (10) in the case of a homogeneous medium takes the form…”

Section: Cylindrical Vector Wave Functions In a Homogeneous Gyrotropimentioning

confidence: 99%

“…It can be shown that the total field yielded by summing (or integrating) modes over the found values of q will satisfy the radiation condition at infinity (r = (ρ 2 + z 2 ) 1/2 → ∞) [3,19,33]. Note that in the considered case, conditions (43) turn out to be sufficient for finding the eigenvalues q and the corresponding modes in contrast to the case of an isotropic outer medium where, along with the boundedness conditions, certain additional conditions should be imposed on the desired modal fields [10,16,19,33,34].…”

Section: The Boundary-value Problem For An Open Cylindrical Waveguidementioning

confidence: 99%

“…Gyrotropic structures capable of guiding electromagnetic waves have been an important research topic for a long time because of many applications including, in particular, those related to the characteristics of electromagnetic waves in plasma waveguides [1][2][3], helicon waves in magnetized metals and semiconductors [4][5][6], waves in ferrites [7,8], modes of gyrotropic fibers [9,10], etc. The theory of excitation of closed waveguides filled with gyrotropic media has received much careful study, and there are many accounts of it (see, e.g., [11][12][13] and references therein).…”

Section: Introductionmentioning

confidence: 99%

“…The theory of excitation of closed waveguides filled with gyrotropic media has received much careful study, and there are many accounts of it (see, e.g., [11][12][13] and references therein). Open gyrotropic waveguides surrounded by an isotropic outer medium have been discussed in [10,[14][15][16][17][18]. The case where the outer medium is anisotropic is considered in [19].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Electromagnetic Radiation From Sources Embedded in a Cylindrically Stratified Unbounded Gyrotropic Medium

Kudrin¹,

Petrov²,

Kyriacou³

et al. 2009

PIER B

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Abstract-A study is made of the excitation of electromagnetic waves by spatially bounded, arbitrary sources in the presence of a cylindrical guiding structure immersed in an infinitely extended, homogeneous gyrotropic medium whose permittivity and permeability are both describable by tensors with nonzero off-diagonal elements. The axis of symmetry of the considered cylindrical structure is assumed to coincide with the gyrotropic axis. The total field is sought in terms of vector modal solutions of the source-free Maxwell equations. We determine the content of the modal spectrum and obtain an eigenfunction expansion of the source-excited field in terms of discreteand continuous-spectrum modes. The expansion coefficients of the modes are derived in explicit form. An expression for the total power radiated from sources is deduced and analyzed. It is shown that the developed approach makes it possible to readily represent the sourceexcited field without preliminary calculation of the dyadic Green's functions, which significantly facilitates the field evaluation.

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Section: Basic Formulationmentioning

confidence: 99%

“…If q = q k and A = in k q k /ε 3 , then, for a fixed k, the particular solution of Equations (9) and (10) in the case of a homogeneous medium takes the form…”

Section: Cylindrical Vector Wave Functions In a Homogeneous Gyrotropimentioning

confidence: 99%