From 89d835a607b366dbefbfa48b84ea106cc7f3b434 Mon Sep 17 00:00:00 2001 From: FreeFEM bot Date: Sun, 27 Aug 2023 00:43:30 +0000 Subject: [PATCH] [BOT] update articles.json --- data/articles.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/data/articles.json b/data/articles.json index 21a3977..b8cb184 100644 --- a/data/articles.json +++ b/data/articles.json @@ -241,7 +241,7 @@ "paperId": "d1ce6ecc33c806681a4c7dd9e6cd62ffce43220c", "url": "https://www.semanticscholar.org/paper/d1ce6ecc33c806681a4c7dd9e6cd62ffce43220c", "title": "The scattering phase: seen at last", - "abstract": ". The scattering phase, defined as log det S ( λ ) / 2 πi where S ( λ ) is the (uni-tary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely related to Kre˘ın’s spectral shift function. We revisit classical results on asymptotics of the scattering phase and point out that it is never monotone in the case of strong trapping of waves. Perhaps more impor-tantly, we provide the first numerical calculations of scattering phases for non-radial scatterers. They show that the asymptotic Weyl law is accurate even at low frequencies and reveal effects of trapping such as lack of monotonicity. This is achieved by using the recent high level multiphysics finite element software FreeFEM.", + "abstract": "The scattering phase, defined as $ \\log \\det S ( \\lambda ) / 2\\pi i $ where $ S ( \\lambda ) $ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely related to Krein's spectral shift function. We revisit classical results on asymptotics of the scattering phase and point out that it is never monotone in the case of strong trapping of waves. Perhaps more importantly, we provide the first numerical calculations of scattering phases for non-radial scatterers. They show that the asymptotic Weyl law is accurate even at low frequencies and reveal effects of trapping such as lack of monotonicity. This is achieved by using the recent high level multiphysics finite element software FreeFEM.", "publicationDate": "2022-10-18", "authors": [ {