Reply to comments on ‘Backflow in relativistic wave equations’

Bialynicki‐Birula, Iwo; Bialynicka‐Birula, Zofia; Augustynowicz, Szymon

doi:10.1088/1751-8121/acbd72

J. Phys. A: Math. Theor.

2023

DOI: 10.1088/1751-8121/acbd72

|View full text |Cite

Reply to comments on ‘Backflow in relativistic wave equations’

Iwo Bialynicki‐Birula

Zofia Bialynicka‐Birula²,

Szymon Augustynowicz³

Abstract: We present further arguments which show that the backflow has a universal character. It is not restricted to quantum theory and it appears in many theories (quantum or classical). It is a general property of waves propagating in any number of dimensions.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Azimuthal backflow in light carrying orbital angular momentum

Ghosh¹,

Daniel²,

Gorzkowski³

et al. 2023

Optica

View full text Add to dashboard Cite

M. V. Berry’s work [J. Phys. A 43, 415302 (2010)1751-811310.1088/1751-8113/43/41/415302] highlighted the correspondence between backflow in quantum mechanics and superoscillations in waves. Superoscillations refer to situations where the local oscillation of a superposition is faster than its fastest Fourier component. This concept has been used to experimentally demonstrate backflow in transverse linear momentum for optical waves. In the present work, we examine the interference of classical light carrying only negative orbital angular momenta, and in the dark fringes of such an interference, we observe positive local orbital angular momentum. This finding has implications for the studies of light–matter interaction and represents a step towards observing quantum backflow in two dimensions.

show abstract

Azimuthal backflow in light carrying orbital angular momentum

Ghosh¹,

Daniel²,

Gorzkowski³

et al. 2023

Optica

View full text Add to dashboard Cite

show abstract

Energy Backflow in Unidirectional Monochromatic and Space–Time Waves

Saari,

Besieris

2024

Photonics

View full text Add to dashboard Cite

Backflow, or retropropagation, is a counterintuitive phenomenon whereby for a forward-propagating wave the energy locally propagates backward. In the context of backflow, physically most interesting are the so-called unidirectional waves, which contain only forward-propagating plane wave constituents. Yet, very few such waves possessing closed-form analytic expressions for evaluation of the Poynting vector are known. In this study, we examine energy backflow in a novel (2+time)-dimensional unidirectional monochromatic wave and in a (2+1)D spatiotemporal wavepacket, analytic expressions which we succeeded to find. We also present a detailed study of the backflow in the “needle” pulse. This is an interesting model object because well-known superluminal non-diffracting space–time wave packets can be derived from its simple factored wave function. Finally, we study the backflow in an unidirectional version of the so-called focus wave mode—a pulse propagating luminally and without spread, which is the first and most studied representative of the (3+1)D non-diffracting space–time wave packets (also referred to as spatiotemporally localized waves).

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Reply to comments on ‘Backflow in relativistic wave equations’

Abstract: We present further arguments which show that the backflow has a universal character. It is not restricted to quantum theory and it appears in many theories (quantum or classical). It is a general property of waves propagating in any number of dimensions.

Cited by 2 publications

References 6 publications

Azimuthal backflow in light carrying orbital angular momentum

Azimuthal backflow in light carrying orbital angular momentum

Energy Backflow in Unidirectional Monochromatic and Space–Time Waves

Contact Info

Product

Resources

About