𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A uniform version of Laplace´s method for contour integrals

✍ Scribed by Neuschel, Thorsten

Book ID
120506013
Publisher
Oldenbourg Wissenschaftsverlag
Year
2012
Tongue
English
Weight
138 KB
Volume
32
Category
Article
ISSN
0174-4747

No coin nor oath required. For personal study only.

✦ Synopsis

It is the main objective of this note to establish a "simple and general" version of Laplace's method for obtaining approximations for complex contour integrals of the type ´P e np.t;z/ q.t; z/ dt, as n ! 1, holding uniformly with respect to a parameter z 2 S, where S denotes some compact subset of C. Moreover, two applications of this version are presented for illustration.

📜 SIMILAR VOLUMES

A uniform evaluation of the PO integral
A uniform evaluation of the PO integral for 2D cylinders with arbitrary contour
✍ Felipe Vico Bondia; Miguel Ferrando Bataller; Eva Antonio Daviu; Daniel Sánchez 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 343 KB

## Abstract A new 2D fast physical optics method is presented for computing the field diffracted by a conducting cylinder with arbitrary contour. This method produces a fast solution with uniform accuracy in all frequencies and incidence/observation angles. The method is a combination of different