كتاب
Approximation of high-frequency wave propagation in dispersive media
| العنوان: | Approximation of high-frequency wave propagation in dispersive media |
|---|---|
| المؤلفون: | Baumstark, Julian, Jahnke, Tobias |
| المصدر: | ISSN: 2365-662X. |
| بيانات النشر: | Karlsruher Institut für Technologie |
| سنة النشر: | 2022 |
| المجموعة: | KITopen (Karlsruhe Institute of Technologie) |
| مصطلحات موضوعية: | high-frequency wave propagation, semilinear wave equation, Maxwell–Lorentz system, diffractive geometric optics, slowly varying envelope approximation, error bounds, ddc:510, Mathematics, info:eu-repo/classification/ddc/510 |
| الوصف: | We consider semilinear hyperbolic systems with a trilinear nonlinearity. Both the differential equation and the initial data contain the inverse of a small parameter $\varepsilon$, and typical solutions oscillate with frequency proportional to $1/\varepsilon$ in time and space. Moreover, solutions have to be computed on time intervals of length $1/\varepsilon$ in order to study nonlinear and diffractive effects. As a consequence, direct numerical simulations are extremely costly or even impossible. We propose an analytical approximation and prove that it approximates the exact solution up to an error of $\mathcal{O}(\varepsilon^2)$ on time intervals of length $1/\varepsilon$. This is a significant improvement over the classical nonlinear Schrödinger approximation, which only yields an accuracy of $\mathcal{O}(\varepsilon)$. |
| نوع الوثيقة: | book report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| ردمك: | 978-1-00-014263-1 1-00-014263-9 |
| العلاقة: | CRC 1173 Preprint; info:eu-repo/semantics/altIdentifier/issn/2365-662X; https://publikationen.bibliothek.kit.edu/1000142639Test; https://publikationen.bibliothek.kit.edu/1000142639/143847655Test; https://doi.org/10.5445/IR/1000142639Test |
| DOI: | 10.5445/IR/1000142639 |
| الإتاحة: | https://doi.org/10.5445/IR/1000142639Test https://publikationen.bibliothek.kit.edu/1000142639Test https://publikationen.bibliothek.kit.edu/1000142639/143847655Test |
| حقوق: | KITopen License, https://publikationen.bibliothek.kit.edu/kitopen-lizenzTest ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.44D8521A |
| قاعدة البيانات: | BASE |
| ردمك: | 9781000142631 1000142639 |
|---|---|
| DOI: | 10.5445/IR/1000142639 |