دورية أكاديمية
A Systematic Approach to Higher-Order Parabolic Propagation in a Weakly Range-Dependent Duct
| العنوان: | A Systematic Approach to Higher-Order Parabolic Propagation in a Weakly Range-Dependent Duct |
|---|---|
| المؤلفون: | Gragg, Robert F. |
| المساهمون: | NAVAL RESEARCH LAB WASHINGTON DC ACOUSTICS DIV |
| المصدر: | DTIC AND NTIS |
| سنة النشر: | 2005 |
| المجموعة: | Defense Technical Information Center: DTIC Technical Reports database |
| مصطلحات موضوعية: | Radiofrequency Wave Propagation, Numerical Mathematics, Acoustics, TRANSFORMATIONS(MATHEMATICS), WAVE PROPAGATION, PARABOLAS, UNDERWATER ACOUSTICS, DUCTS, DENSITY, SYSTEMS APPROACH, HELMHOLTZ EQUATIONS, ENERGY CONSERVATION, SPLITTING, MEMBRANES, MATRICES(MATHEMATICS), CONTINUOUS WAVES, WAVEGUIDES, PARABOLIC PROPAGATION, PE(PARABOLIC EQUATIONS), ODER-BY-ORDER DECOUPLING, FOLDY-WOUTHUYSEN TRANSFORMATIONS |
| الوصف: | Energy-conserving transformations are exploited to split a monochromatic field in a weakly inhomogeneous waveguide into a pair of components that undergo uncoupled parabolic propagation in opposite directions along the waveguide axis. A systematic series of such transformations is developed to accomplish this splitting at increasing order of approximation while avoiding backscatter. In order to emphasize fundamentals, this technique is applied in what is arguably the simplest nontrivial case: waves of vertical displacement on a horizontal membrane with a smooth density inhomogeneity along one direction that forms a duct in the orthogonal direction. The evolution of these "drumhead" vibrations is governed by a single continuous environmental variable, the density. This work is meant to serve as a link between an earlier treatment of the simpler, purely one-dimensional case (waves on a string) and the analyses of Wurmser and coworkers of considerably more complex cases featuring multiple environmental variables and/or ducts with discontinuities. |
| نوع الوثيقة: | text |
| وصف الملف: | text/html |
| اللغة: | English |
| العلاقة: | http://www.dtic.mil/docs/citations/ADA439175Test |
| الإتاحة: | http://www.dtic.mil/docs/citations/ADA439175Test http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA439175Test |
| حقوق: | Approved for public release; distribution is unlimited. This document is not available from DTIC in microfiche. |
| رقم الانضمام: | edsbas.777DCC60 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |