Nondiffractive fields

Bajer, J.; Horák, R.

doi:10.1103/physreve.54.3052

Cited by 21 publications

(28 citation statements)

References 7 publications

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“…Substituting expressions (1a) and (1b) for the electromagnetic fields into (11), a generalized expression for the Poynting vector of any invariant beam is obtained [29], (12) where (13) is the transversal electric part, (14) is the transversal magnetic part, and the interference modes TE/TM (15) The time averaged Poynting vector is independent of the z coordinate and it satisfies as was proven in [48]. It is important to remark that the interference term in the Poynting vector, expressed in Eq.…”

Section: A Generalized Poynting Vector For Scalars Potentialsmentioning

confidence: 93%

Orbital angular momentum due to modes interference

Ojeda¹,

Soto‐Eguibar²

2021

Optica Applicata

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We present generalized expressions to calculate the orbital angular momentum for invariant beams using scalars potentials. The solutions can be separated into transversal electric TE, transversal magnetic TM and transversal electromagnetic TE/TM polarization modes. We show that the superposition of non-paraxial vectorial beams with axial symmetry can provide a well-defined orbital angular momentum and that the modes superposition affects the angular momentum flux density. The results are illustrated and analyzed for Bessel beams.

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Section: A Generalized Poynting Vector For Scalars Potentialsmentioning

confidence: 93%

Orbital angular momentum due to modes interference

Ojeda¹,

Soto‐Eguibar²

2021

Optica Applicata

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“…To the best of our knowledge, this has not been presented before. An invariant beam, also known as a "non-diffracting beam", propagates indefinitely without changes in its transverse intensity distribution [18,19]. These beams can also be represented as an infinite superposition of plane waves [20].…”

Section: Introductionmentioning

confidence: 99%

Generalized optical theorem for propagation invariant beams

Rondón¹,

Soto‐Eguibar²

2020

Preprint

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Many practical applications require the analysis of electromagnetic scattering properties of local structures using different sources of illumination. The Optical Theorem (OT) is a useful result in scattering theory, relating the extinction of a structure to the scattering amplitude in the forward direction. The most common derivation of the OT is given for plane waves but advances in optical engineering now allow laser beam shaping, which might require an extended theorem where the impinging source is a structured field. In this work, we derive an expression for the optical theorem based on classical electromagnetic theory, for probe sources given in terms of propagation invariant beams. We obtain a general expression for the differential scattering cross section using the integral scattering amplitude approximation in the far field. We also analyze the scattering problem of a zero order Bessel beam by a dielectric sphere, under the Rayleigh approximation by varying the angle of incidence.

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“…The correctness of (14) provides a reduction of (13) to (1). As a verification, from (13)- (14), one has the total phase for the exact nondiffracting field…”

Section: Structure Of the Gouy Phase Of Nondiffracting Beamsmentioning

confidence: 99%

“…Nondiffacting beams (NDBs) unchange their transverse intensity distribution in free space propagation even for those having nonzero transversal energy flux [1,2]. They are ideal beams because their infinite extent and energy.…”

Section: Introductionmentioning

confidence: 99%

Features of the Gouy Phase of Nondiffracting Beams

Matos¹,

Vaveliuk²,

Torchia³

2013

PIER

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Abstract-It is shown how the linear Gouy phase of an ideal nondiffracting beam of ±(k − k z )z form, with k z being the projection of the wavevector of modulus k of the plane wave spectrum onto the propagation axis z, is built from a rigorous treatment based on the successive approximations to the Helmholtz equation. All of different families of nondiffracting beams with a continuum spectrum, as Bessel beams, Mathieu beams and Parabolic ones, as well as nondiffracting beams with a discrete spectrum, as kaleidoscopic beams, have an identical Gouy phase that fully governs the beam propagation dynamics. Hence, a real beam whose Gouy phase is close to that linear Gouy phase in a given range, will have nondiffracting-like properties on such a range. These results are applied to determine the effective regime in which a physically realizable beam can be treated as a nondiffracting one. As a fruitful example, the Gouy phase analysis is applied to fully establish the regime in which a Helmholtz-Gauss beam propagates with nondiffracting-like properties.

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Nondiffractive fields

Cited by 21 publications

References 7 publications

Orbital angular momentum due to modes interference

Orbital angular momentum due to modes interference

Generalized optical theorem for propagation invariant beams

Features of the Gouy Phase of Nondiffracting Beams

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