Phase singularities in complex arithmetic random waves
نویسندگان
چکیده
منابع مشابه
Classification of phase singularities for complex scalar waves
Motivated by the importance and universal character of phase singularities which are clarified recently, we study the local structure of equi-phase loci near the dislocation locus of complex valued planar and spatial waves, from the viewpoint of singularity theory of differentiable mappings, initiated by H. Whitney and R. Thom. The classification of phase-singularities are reduced to the classi...
متن کاملKnotted and linked phase singularities in monochromatic waves
Exact solutions of the Helmholtz equation are constructed, possessing wavefront dislocation lines (phase singularities) in the form of knots or links where the wave function vanishes (‘knotted nothings’). The construction proceeds by making a nongeneric structure with a strength n dislocation loop threaded by a strength m dislocation line, and then perturbing this. In the resulting unfolded (st...
متن کاملSingularities in the complex physical plane for deep water waves
Deep water waves in two-dimensional flow can have curvature singularities on the surface profile, for example, the limiting Stokes wave has a corner of 2π/3 radians and the limiting standing wave momentarily forms a corner of π/2 radians. Much less is known about the possible formation of curvature singularities in general. A novel way of exploring this possibility is to consider the curvature ...
متن کاملWaves in Random and Complex Media
Waves in Random and Complex Media Publication details, including instructions for authors and subscription information: http://www-intra.informaworld.com/smpp/title~content=t716100762 Waves and fracture in an inhomogeneous lattice structure G. S. Mishuris a; A. B. Movchan b; L. I. Slepyan c a Department of Mathematics, Rzeszów University of Technology, Poland b Department of Mathematical Scienc...
متن کاملWaves in Random and Complex Media
The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand or costs or damages whatsoever or howsoever caused...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2019
ISSN: 1083-6489
DOI: 10.1214/19-ejp321