Vectorial structure of nonparaxial electromagnetic beams

Martı́nez-Herrero, R.; Mejı́as, P. M.; Bosch, Salvador; Carnicer, Artur

doi:10.1364/josaa.18.001678

Cited by 90 publications

(56 citation statements)

References 8 publications

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“…As is well known, the electric and magnetic fields, E and H, can be expressed in terms of their planewave angular spectrum [17], ( , , ) ( , , )exp i ( )…”

Section: Formalism and Basic Definitionsmentioning

confidence: 99%

“…Let us now choose a reference system formed by the orthogonal unitary vectors e 1 and e 2 , namely [17] Let us finally consider the field solution associated with the evanescent term (cf. Eq.…”

Section: Formalism and Basic Definitionsmentioning

confidence: 99%

“…Among the different formulations for vectorial nonparaxial electromagnetic fields available in the literature [10][11][12][13][14], the description of such beams using the plane-wave angular spectrum framework has been proved particularly suitable [5,[15][16][17], since this approach enables us to separate the propagating and evanescent contributions of the electromagnetic field [1,5,[18][19][20]. Moreover, the propagating and evanescent waves can be described as the sum of two terms: a first one, transverse to the direction of propagation z, and a second one that is a non-zero longitudinal component along the z axis.…”

Section: Introductionmentioning

confidence: 99%

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Behavior of propagating and evanescent components in azimuthally polarized non-paraxial fields

et al. 2013

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The contribution of the propagating and the evanescent waves associated with freely propagating nonparaxial light fields whose transverse component is azimuthally polarized at some plane is investigated. Analytic expressions are derived for describing both the spatial shape and the relative weight of the propagating and the evanescent components integrated over the transverse plane. The analysis is carried out within the framework of the plane-wave angular spectrum approach. These results are used to illustrate the behavior of a kind of doughnut-like beams with transverse azimuthal polarization at some plane.

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“…As is well known, the electric and magnetic fields, E and H, can be expressed in terms of their planewave angular spectrum [17], ( , , ) ( , , )exp i ( )…”

Section: Formalism and Basic Definitionsmentioning

confidence: 99%

Section: Formalism and Basic Definitionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Behavior of propagating and evanescent components in azimuthally polarized non-paraxial fields

et al. 2013

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“…As is well known, the electric and magnetic fields, E and H, can be expressed in terms of their plane-wave angular spectrum [16],…”

Section: Formalism and Key Definitionsmentioning

confidence: 99%

“…Such kind of decomposition has revealed to be useful because it allows separate the contribution of the propagating and evanescent waves. In particular, the propagating electric-field solution has been written as the sum of two terms [16]: one of them is transverse to the propagation direction; another one exhibits a non-zero longitudinal component and its associated magnetic field is also transverse. Such analytical description differs from alternative proposals appeared in the literature, also based on the plane-wave spectrum (see [5] and references therein).…”

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confidence: 99%

Transverse and longitudinal components of the propagating and evanescent waves associated to radially polarized nonparaxial fields

et al. 2011

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A comparison is established between the contributions of transverse and longitudinal components of both the propagating and the evanescent waves associated to freelypropagating radially-polarized nonparaxial beams. Attention is focused on those fields that remain radially polarized upon propagation. In terms of the plane-wave angular spectrum of these fields, analytical expressions are given for determining both the spatial shape of the above components and their relative weight integrated over the whole transverse plane. The results are applied to two kinds of doughnut-like beams with radial polarization, and compare the behaviour at two transverse planes. IntroductionAs is well known, the longitudinal component (along the propagation direction z) of a light beam is negligible in the paraxial approximation. Consequently, the electric field vector is assumed to be transverse to the z-axis, and represented by means of two components. This provides a considerable simplification in the calculations. However, in a number of applications (for instance, particle trapping, high-density recording and high-resolution microscopy, to mention only some of them), the light beam is strongly focused and raises spot sizes smaller than the wavelength. In such cases, the paraxial approach is no longer valid, and a nonparaxial treatment is required. This is a topic of active research, which has been extensively studied in the last years [1][2][3][4][5][6][7][8][9].

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Shaping of Vector Beams Based on Caustic Design

Liu,

Zeng,

Tong

et al. 2024

Laser & Photonics Reviews

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Appropriate wavefront design can endow light fields with many useful properties, such as accelerating, anti‐diffracting, self‐healing, and the capability to exhibit customizable intensity shapes. The strategy of arbitrarily combining these properties to develop novel optical fields mainly relies on caustic methods. However, caustic methods have rarely been applied to the construction of vector fields. Here, slowly changing polarization information is introduced to the caustic rays, aiming to establish direct connections between conventional rays and vector beams in the physical representation. In this manner, a technique is developed to create non‐diffracting vector beams with polarization states that can vary along the caustic curves as needed. It is also demonstrated that the superposition of intersecting ray families can basically determine the polarization states of the other points in the fields. This may provide a new route for designing various novel vector fields and directly promote research in wave and focal field shaping, thereby offering more flexible beam options for applications such as material processing, particle manipulation, and microscopic imaging.

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Vectorial structure of nonparaxial electromagnetic beams

Cited by 90 publications

References 8 publications

Behavior of propagating and evanescent components in azimuthally polarized non-paraxial fields

Behavior of propagating and evanescent components in azimuthally polarized non-paraxial fields

Transverse and longitudinal components of the propagating and evanescent waves associated to radially polarized nonparaxial fields

Shaping of Vector Beams Based on Caustic Design

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