Simple undergraduate experiment for synthesizing and analyzing non-uniformly polarized beams by means of a Fresnel biprism

Piquero, Gemma; Marcos-Muñoz, Ismael; Sande, Juan Carlos González de

doi:10.1119/1.5089423

Cited by 5 publications

(5 citation statements)

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“…In addition to scalar modes, we can also generate spatially varying polarization in Cosine beams, Bessel beams, and HG beams. While the polarization changes in the beam cross-section are in radial and azimuthal directions with cylindrical symmetry in the Bessel beams [39,40], in the case of the Cosine beam [41] and HG beam [42], these changes are in Cartesian coordinates with rectangular symmetry.…”

Section: Comparative Analysis Between Hermite-gaussian Beam Cosine Be...mentioning

confidence: 99%

An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile

Rao

2023

Photonics

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We provide a simple analysis based on ray optics and Dirac notation for 1D (one-dimensional) and 2D (two-dimensional) non-diffracting modes in the cosine profile, which are often called Cosine beams. We explore various kinds of structured modes formed by the superposition of two 1D Cosine beams. We then went on to understand the properties of the Bessel beams in terms of Cosine beams. For the first time, we report on the generation of three-dimensional tunable needle structures based on the interference of 1D Cosine beams. These size-tunable optical needles can have multiple advantages in material processing. Also, we report, for the first time, on the Talbot effect in Cosine beams. Straightforward mathematical calculations are used to derive analytical expressions for Cosine beams. The present method of demonstrating Cosine beams may be utilized to understand other structured modes. The Dirac notation-based interference explanation used here can provide new researchers with an easy way to understand the wave nature of light in a fundamental aspect of interferometric experiments as well as in advanced-level experiments such as beam engineering technology, imaging, particle manipulation, light sheet microscopy, and light–matter interaction. We also provide an in-depth analysis of similarities among Cosine, Bessel, and Hermite–Gaussian beams.

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Section: Comparative Analysis Between Hermite-gaussian Beam Cosine Be...mentioning

confidence: 99%

An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile

Rao

2023

Photonics

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show abstract

“…In addition to scalar modes, we can also generate spatially varying polarization in Cosine beams and Bessel beams, and HG beams. While the polarization changes in the beam cross-section are in radial and azimuthal directions with cylindrical symmetry in the Bessel beams [39], in the Cosine beam [40] and HG beam [41] these changes in Cartesian coordinates with rectangular symmetry.…”

Section: Bessel Beammentioning

confidence: 99%

An intriguing interpretation of Cosine beams

Allam¹

2023

Preprint

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We provide a simple analysis based on ray optics and Dirac notation for one and two-dimensional Cosine beams. We then went on to understand the properties of the Bessel beams. For the first time, we report on a generation of three-dimensional needle structures based on interference of one-dimensional Cosine beams. Straightforward mathematical calculations are used to derive the analytical expressions for Cosine beams. The present method of demonstration of Cosine beams may be utilized to understand other structured modes. The Dirac notation-based interference explanation used here can render new researchers to discover an easy way to understand the wave nature of light in fundamental interferometric experiments as well as in advanced-level experiments such as beam engineering technology, imaging, particle manipulation, light sheet microscopy, and light-matter interaction. We also provide an in-depth analysis of similarities among Cosine, Bessel, and Hermite-Gaussian beams.

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“…Several different interferometric configurations have been proposed in subsequent years to produce NUTP fields. Among them, we quote the techniques using Fresnel biprisms [108], Young double slits [109], diffractive optical elements [110], Sagnac interferometers [21], pentaprism interferometers [111], and so on. It is worth noting that SLMs together with some interferometric arrangement have been proven to be a versatile tool to generate arbitrary non-uniformly polarized beams [23,44,49,57,93].…”

Section: B Interferometersmentioning

confidence: 99%

“…Other types of interferometers can be used for synthesizing NUTP beams, e.g., those based on the division of the field wavefront, as the Young's double-slit experiment [109,[112][113][114]. Here, we show an example of a NUTP beam obtained by means of a formally equivalent system based on a Fresnel biprism [108].…”

Section: Fresnel Biprismmentioning

confidence: 99%

Synthesis and characterization of non-uniformly totally polarized light beams: tutorial

Piquero¹,

Martı́nez-Herrero²,

Sande³

et al. 2020

J. Opt. Soc. Am. A

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Polarization of a light beam is traditionally studied under the hypothesis that the state of polarization is uniform across the transverse section of the beam. In such a case, if the paraxial approximation is also assumed, the propagation of the beam reduces to a scalar problem. Over the last few decades, light beams with spatially variant states of polarization have attracted great attention, due mainly to their potential use in applications such as optical trapping, laser machining, nanoscale imaging, polarimetry, etc. In this tutorial, an introductory treatment of nonuniformly totally polarized beams is given. Besides a brief review of some useful parameters for characterizing the polarization distribution of such beams across transverse planes, from both local and global points of view, several methods for generating them are described. It is expected that this tutorial will serve newcomers as a starting point for further studies on the subject.

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Simple undergraduate experiment for synthesizing and analyzing non-uniformly polarized beams by means of a Fresnel biprism

Cited by 5 publications

References 48 publications

An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile

An Intriguing Interpretation of 1D and 2D Non-Diffracting Modes in Cosine Profile

An intriguing interpretation of Cosine beams

Synthesis and characterization of non-uniformly totally polarized light beams: tutorial

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