Laguerre-Gaussian wave propagation in parabolic media

• URL: http://arxiv.org/abs/2001.03456v1
• Date: Thu, 9 Jan 2020 01:26:46 GMT
• Title: Laguerre-Gaussian wave propagation in parabolic media
• Authors: S. Cruz y Cruz, Z. Gress, P. Jimenez-Macias and Oscar Rosas-Ortiz
• Abstract summary: We report a new set of Laguerre-Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We report a new set of Laguerre-Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomogeneity. The conventional Laguerre-Gaussian modes, available for homogenous media, are recovered as a particular case.

Related papers

• Shaping entangled photons through thick scattering media using an advanced wave beacon [0.0]
  Entangled photons propagate through a complex medium such as a biological tissue or a turbulent atmosphere. Using wavefront shaping to compensate for the scattering and retrieve the two-photon correlations is challenging due to the low signal-to-noise ratio. We propose and demonstrate a new feedback mechanism that is inspired by Klyshko's advanced wave picture.
  arXiv  Detail & Related papers  (2024-03-27T07:56:13Z)
• Radiative transport in a periodic structure with band crossings [52.24960876753079]
  We derive the semi-classical model for the Schr"odinger equation in arbitrary spatial dimensions. We consider both deterministic and random scenarios. As a specific application, we deduce the effective dynamics of a wave packet in graphene with randomness.
  arXiv  Detail & Related papers  (2024-02-09T23:34:32Z)
• Free expansion of a Gaussian wavepacket using operator manipulations [77.34726150561087]
  The free expansion of a Gaussian wavepacket is a problem commonly discussed in undergraduate quantum classes. We provide an alternative way to calculate the free expansion by recognizing that the Gaussian wavepacket can be thought of as the ground state of a harmonic oscillator. As quantum instruction evolves to include more quantum information science applications, reworking this well known problem using a squeezing formalism will help students develop intuition for how squeezed states are used in quantum sensing.
  arXiv  Detail & Related papers  (2023-04-28T19:20:52Z)
• A Wave Packet Approach to Resonant Scattering [0.0]
  Resonant transmission occurs when constructive interference results in the complete passage of an incoming wave through an array of barriers. We adopt wave packets with finite width to illustrate the deterioration of resonance with decreasing wave packet width. A comparison with exact numerical calculations shows excellent agreement, and provides insight into the scattering process.
  arXiv  Detail & Related papers  (2022-10-31T03:17:36Z)
• Relativistic electron wave packets featuring persistent quantum backflow [0.0]
  relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide. The predicted backflow is stable in time and is manifest regardless of the initial wave function.
  arXiv  Detail & Related papers  (2021-12-25T03:42:06Z)
• Intrinsic decoherence for the displaced harmonic oscillator [77.34726150561087]
  We use the complete solution of the Milburn equation that describes intrinsic decoherence. We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.
  arXiv  Detail & Related papers  (2021-12-06T03:15:43Z)
• Broadband continuous variable entanglement generation using Kerr-free Josephson metamaterial [40.96261204117952]
  Entangled microwave photons form a fundamental resource for quantum information processing and sensing. We use a low-loss Josephson metamaterial to generate frequency-entangled photons from vacuum fluctuations at a rate of 2 giga entangled bits per second spanning over 4 GHz bandwidth.
  arXiv  Detail & Related papers  (2021-11-11T11:05:17Z)
• Two electrons in harmonic confinement coupled to light in a cavity [62.997667081978825]
  The energy and wave function of a harmonically confined two-electron system coupled to light is calculated. Relative motion wave function has a known quasi-analytical solution.
  arXiv  Detail & Related papers  (2021-08-03T18:56:50Z)
• Plane Wave Elastography: A Frequency-Domain Ultrasound Shear Wave Elastography Approach [15.454393604829225]
  We propose a novel ultrasound shear wave elastography (SWE) approach, Plane Wave Elastography (PWE) PWE relies on a rigorous representation of the wave propagation using the frequency-domain scalar wave equation. We show that PWE can handle complicated waveforms without prior filtering and is competitive with state-of-the-art that requires prior filtering.
  arXiv  Detail & Related papers  (2020-12-08T00:03:13Z)
• Resummed Wentzel-Kramers-Brillouin Series: Quantization and Physical Interpretation [0.0]
  The Wentzel-Kramers-Brillouin (WKB) perturbative series is typically divergent and at best, impeding predictions beyond the first few leading-order effects. Here, we report a closed-form formula that exactly resums the perturbative WKB series to all-orders for two turning point problem.
  arXiv  Detail & Related papers  (2020-06-02T07:43:39Z)
• Operator-algebraic renormalization and wavelets [62.997667081978825]
  We construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets.
  arXiv  Detail & Related papers  (2020-02-04T18:04:51Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.