English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We deal with the stability issue for the determination of outgoingtime-harmonic acoustic waves from their far-field patterns. We are especiallyinterested in keeping as explicit as possible the dependence of our stabilityestimates on the wavenumber of the corresponding Helmholtz equation and inunderstanding the high wavenumber, that is frequency, asymptotics.  Applications include stability results for the determination from far-fielddata of solutions of direct scattering problems with sound-soft obstacles andan instability analysis for the corresponding inverse obstacle problem.  The key tool consists of establishing precise estimates on the behavior ofHankel functions with large argument or order.

Stable determination of a scattered wave from its far-field pattern: the high frequency asymptotics