Cylindrical-wave reflection and antireflection at media interfaces

Jiang, Yuan; Hacker, Jill

doi:10.1364/ao.33.007431

Cited by 16 publications

(11 citation statements)

References 7 publications

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“…When « 0 becomes smaller and mˆ0, the qualitative dependence of the frequency on cylinder radius remains unchanged, but the di erence between the curves for the simpli® ed formula and corresponding E-polarized and Hpolarized branches increases. For non-zero m, the qualitative behaviour of the E-polarized mode is similar but, in the frequency range under consideration, versus central core radius «0 obtained using equation (7). T he Bragg re¯ector parameters are as for ® gure 2.…”

Section: Re Su Lts An D Discussionmentioning

confidence: 68%

Optical eigenmodes of a cylindrical microcavity

Kaliteevski

Abram

Nikolaev

2000

Journal of Modern Optics

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Abstrac t.T he optical mode structure of a cylindrical microcavity has been investigated using a transfer matrix approach. We derive exact algebraic equations from which the frequencies of the optical eigenmodes of the two polarizations can be obtained, as well as approximate explicit algebraic expressions for those frequencies. In trod u c tionSemiconductor microcavities have attracted increasing interest in the last decade as a result of their application in the investigation of light± matter interactions [1] in low-dimensional systems, and because of their practical use for vertical cavity surf ace emitting lasers [2]. T he typical microcavity consists of two Bragg re¯ectors (which are essentially one-dimensional photonic band gap structures [3]) enclosing a central layer of one or more wavelengths in thickness. T he Bragg re¯ectors provide localization of light only in the dimension which is perpendicular to the layers of the structure, and theref ore the eigenmodes of the microcavity are two-dimensional photonic states.Structures which provide two-dimensional [4] and full three-dimensional localization of light [5] promise to be useful in the development of optoelectronic devices possessing enhanced properties. T wo-dimensional localization by cylindrical multilayered structures has been demonstrated experimentally [6] and the theory of the propagation of electromagnetic waves through cylindrical structures has received some attention [7± 9]. In particular, the present authors, with S okolow ski, have considered the properties of cylindrical Bragg re¯ectors using the transf er matrix technique [9].T he aim of this work is to investigate theoretically the optical eigenmode structure of a multilayered cylindrical microcavity of the type shown in ® gure 1, where light propagates in the plane perpendicular to the axis of symmetry z , but not along the axis as occurs in an optical ® ber [10,11]. However, the formalism can be applied to a wide range of other problems, including the study of non-

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Section: Re Su Lts An D Discussionmentioning

confidence: 68%

Optical eigenmodes of a cylindrical microcavity

Kaliteevski

Abram

Nikolaev

2000

Journal of Modern Optics

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“…[11][12][13][14] Extensive studies on the transmission properties of the 1-D CPCs using TMM. [15][16][17][18] The importance of the 1-D CPCs is increasing with the growing use of optical fibers [19] and optoelectronic components. [20] With the research and development of the 1-D CPCs, the field of spherical photonic crystals (SPCs) has also attracted the attention of numerous scholars.…”

Section: Introductionmentioning

confidence: 99%

“…Concatenating Equations ( 15), (16), and (17), the equation on V(x) can be adapted to a standard spherical Bessel equation.…”

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confidence: 99%

The Absorption Properties of One‐Dimensional Spherical Photonic Crystals Based on Magnetized Ferrite Materials

et al. 2022

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Based on a spherical coordinate system and Maxwell's set of equations, the calculation formulas of one‐dimensional (1‐D) magnetized ferrite spherical photonic crystals (MFSPCs) are obtained and treated with the solution method of the spherical Bessel equations. Combined with the conventional transmission matrix method, expressions for the absorptance, reflectance, and transmittance of the 1‐D MFSPCs are given. 1‐D MFSPCs consisting of the general dielectric and Yttrium iron garnet (YIG) are also designed to verify the correctness of the conclusions. Variables such as external magnetic field, incidence angle, initial radius, and YIG thickness effects on the features of such 1‐D MFSPCs are also discussed. The transformation of the external magnetic field has a linear relationship with the position of the absorption band (AB). The three variables of incidence angle, initial radius, and YIG thickness have a substantial influence on the width and position of the AB, which can be adjusted according to the actual demand and are of high application significance. The results of this study can be helpful for the design of multifunctional absorbers and radome.

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“…There is at present much interest in small (micrometre to nanometre) scale spherical [1,2] and cylindrical structures [3][4][5][6][7][8][9][10][11][12]. A problem of immediate interest in this context is the response of quantum systems to the electromagnetic fields supported by structures of this kind.…”

mentioning

confidence: 99%

“…Cylindrical dielectric structures, are particularly interesting for use not just as electromagnetic waveguides [3][4][5], but also as atom guides, where the guiding mechanism is mainly controlled by excited cavity modes [6,7,9,10]. It is envisaged that the development of atom guides at such a small scale would lead to much desirable advancements in atom lithography and should facilitate atomic physics research.…”

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confidence: 99%

Enhancement of energy relaxation rates near metal-coated dielectric cylinders

Banyard

Bennett

Babiker

2002

Optics Communications

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The electromagnetic modes and their field distributions are evaluated for a dielectric cylindrical structure embedded in another dielectric, with a thin metallic film at the cylinder/dielectric interface. These modes provide energy relaxation channels for excited dipole emitters located inside or outside the cylinder. Significantly, we find that the emission rate is sensitive to the magnitude of the electron density of the metallic film coating. For typical parameter values, we find large enhancements of the emission rate, which can be in excess of three orders of magnitude, relative to the case in the absence of the film, arising at specific ranges of electron density. The theory is shown to conform with known limits, including the high density (perfect conductor) limit and the large distance (unbounded bulk) limit. The implications of the predicted enhancement due to the metal coating for the purpose of guiding atoms within such microstructures are pointed out.

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Cylindrical-wave reflection and antireflection at media interfaces

Cited by 16 publications

References 7 publications

Optical eigenmodes of a cylindrical microcavity

Optical eigenmodes of a cylindrical microcavity

The Absorption Properties of One‐Dimensional Spherical Photonic Crystals Based on Magnetized Ferrite Materials

Enhancement of energy relaxation rates near metal-coated dielectric cylinders

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