Tight focusing of radially polarized Gaussian and Bessel-Gauss beams

Yew, Elijah Y. S.; Sheppard, Colin J. R.

doi:10.1364/ol.32.003417

Cited by 87 publications

(35 citation statements)

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“…This is in line with the original proposal (Dorn et al, 2003;Quabis et al, 2000), and studies concerning the optical conditions leading to spot sizes well below the diffraction limit have been reported (Lerman and Levy, 2008;Yew and Sheppard, 2007a). These works are based on the diffraction theory developed by Youngworth and Brown (2000) (which is, in turn, derived from the pioneering work of Richards and Wolf, 1959).…”

Section: Methods Of Approximations For Radially Polarized Laser Beamssupporting

confidence: 85%

“…Alternative solutions to the evaluation of diffraction for high-NA microscopes are not exclusive of linearly polarized beams and, among the possible choices, we limit discussion in this section to the radial polarization, which has attracted much interest lately (Bomzon et al, 2002;Dorn et al, 2003;Lerman and Levy, 2008;Novotny and Hecht, 2006;Quabis et al, 2000;Shoham et al, 2006;Yew and Sheppard, 2007a;Youngworth and Brown, 2000). The reason for such interest is found in the potential for beating the diffraction limit of ordinary microscopy.…”

Section: Methods Of Approximations For Radially Polarized Laser Beamsmentioning

confidence: 99%

“…(2) for linearly polarized fields, other states of polarization are increasingly attracting the interest of the community (Bomzon et al, 2002;Dorn et al, 2003;Lerman and Levy, 2008;Novotny and Hecht, 2006;Quabis et al, 2000;Shoham et al, 2006;Yew and Sheppard, 2007a;Youngworth and Brown, 2000). For instance, radially polarized laser beams have been recently introduced in optics as one of the most ingenious ways to overcome the diffraction limit that characterizes ordinary laser microscopy (Dorn et al, 2003;Lerman and Levy, 2008;Quabis et al, 2000;Yew and Sheppard, 2007a).…”

Section: Other States Of Polarizationmentioning

confidence: 99%

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Methods for Vectorial Analysis and Imaging in High-Resolution Laser Microscopy

Marrocco

2011

Advances in Imaging and Electron Physics

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Section: Methods Of Approximations For Radially Polarized Laser Beamssupporting

confidence: 85%

Section: Methods Of Approximations For Radially Polarized Laser Beamsmentioning

confidence: 99%

Section: Other States Of Polarizationmentioning

confidence: 99%

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Methods for Vectorial Analysis and Imaging in High-Resolution Laser Microscopy

Marrocco

2011

Advances in Imaging and Electron Physics

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“…[4] Various complex light field beams have been investigated, such as the radially polarized Lorentz-Gauss vortex beam [5] and the radially polarized Laguerre-Bessel-Gaussian beam. [6] Radially polarized beams have become an active research topic over the years because of their specific focusing characteristics [7,8] and potential applications in super resolution [9,10] and particle manipulation, [6] www.advopticalmat. de found.…”

Section: Introductionmentioning

confidence: 99%

Generation of Radial Polarized Lorentz Beam with Single Layer Metasurface

Guo

Wang

et al. 2017

Advanced Optical Materials

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as well as ultrafast phenomena sensing. [11] Practical applications for nondiffracted waves include light collimating, focusing, and shaping. [12][13][14] The Lorentz beam is a nondiffracted wave that is characterized by small size, long focal length, and extended transmission distance. [12] Typical techniques to produce Lorentz beams usually involve combinations of multiple optical elements. However, such systems are bulky, complicated, and inconvenient. To generate such novel beams simply, we employ a single layer metasurface device to modulate simultaneously the amplitude and polarization of the illuminating light. Metasurfaces are viewed as a kind of artificial material composed of periodic subwavelength metal or dielectric structures. When coupled resonantly to the electric and/or magnetic components of an incident electromagnetic field, they provide a spatially varying optical response (e.g., scattering amplitude, phase, and polarization). With the advantage of easy-etching, ultrathin as well as miniaturization, a broad range of applications of metasurfaces has been reported, including superlenses, [15,16] wave plates, [17][18][19] nonlinear optics, [20] and holograms. [21] However, these previous studies were focused on modulating one attribute of light beams, for example amplitude, phase or polarization. Several studies were reported to have modulated the phase [22] and polarization direction. [23] Only numerical simulations are carried out to demonstrate the ability of metasurface for multiple parameters modulation because double-layer structures [24] are difficult to fabricate. Traditionally, the concentric metal-ring wire grid is used to achieve radial polarization. [25][26][27] The structure is relatively simple but fails to generate amplitude modulation. Furthermore, circularly polarized light is required to generate radially polarized light; nevertheless, it comes accompanied by an unexpected vortex phase distribution. In this work, a designed metasurface is fabricated consisting of crosses of various sizes and orientations. The variation in size is employed to modulate the amplitude whereas variation in orientation is used to modulate the polarization distribution. With right/left circularly polarized (RCP/LCP) incidence, the output polarization may be radial or angular, whereas the amplitude obeys the Lorentz distribution. Nine cross structures were fabricated to achieve certain desired amplitude and polarization modulations. The polarization and amplitude distributions of the beam generated by the device are detected using a terahertz focal plane imaging system. A strong agreement between theoretical and experimental results was

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“…We will study and compare the relative weight of all these terms on the basis of the plane-wave angular spectrum of the field. Attention will be focused on beams with radial polarization distributions [2,4,15,[19][20][21][22][23][24][25], a class of fields with important potential applications. More specifically, in the present work we will consider radially polarized beams that retain this character upon free propagation [15].…”

mentioning

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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Tight focusing of radially polarized Gaussian and Bessel-Gauss beams

Cited by 87 publications

References 0 publications

Methods for Vectorial Analysis and Imaging in High-Resolution Laser Microscopy

Methods for Vectorial Analysis and Imaging in High-Resolution Laser Microscopy

Generation of Radial Polarized Lorentz Beam with Single Layer Metasurface

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

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