For Full-Text PDF, please login, if you are a member of IEICE,|
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
A Formula on the Hermite Expansion and Its Application to a Random Boundary Value Problem
Yasuhiko TAMURA Junichi NAKAYAMA
IEICE TRANSACTIONS on Electronics
Publication Date: 2003/08/01
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Theory
Hermite expansion, random boundary value problem, stochastic analysis, exact solution,
Full Text: PDF>>
A new formula on the Hermite expansion is presented in an explicit form. An application of the formula is given to a random boundary value problem: a plane wave reflection from a flat plane, of which position is randomly distributed in the normal direction, is presented. Several numerical results are given for a verification of the formula and for a discussion of the exact behavior of the fluctuation part of the reflection power.