Single-particle Fraunhofer diffraction in a classical pilot-wave model

Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conjecture that no classical pilot-wave model could exhibit Fraunhofer diffraction. We revisit the problem with the recent, Lag...

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Bibliographic Details
Published in:Physical Review Research
Main Authors: David Darrow, John W. M. Bush
Format: Article
Language:English
Published: American Physical Society 2025-09-01
Online Access:http://doi.org/10.1103/gn48-nxwk
Description
Summary:Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conjecture that no classical pilot-wave model could exhibit Fraunhofer diffraction. We revisit the problem with the recent, Lagrangian pilot-wave model of Darrow and Bush [Symmetry 16, 149 (2024)2073-899410.3390/sym16020149], and find agreement with both single- and double-slit Fraunhofer patterns. We identify two distinct dynamical features that enable our model to capture Fraunhofer diffraction and distinguish it from previous classical pilot-wave models.
ISSN:2643-1564