دورية أكاديمية

Splitting methods and invariant imbedding for time‐independent wave propagation in focusing media and wave guides

التفاصيل البيبلوغرافية
العنوان: Splitting methods and invariant imbedding for time‐independent wave propagation in focusing media and wave guides
المؤلفون: Evans, James W.
المصدر: Physics and Astronomy Publications
بيانات النشر: Iowa State University Digital Repository
سنة النشر: 1988
المجموعة: Digital Repository @ Iowa State University
مصطلحات موضوعية: Operator equations, Waveguides, Wave propagation, Refractive index, Backscattering, Mathematics, Physics
الوصف: For time‐independent wave propagation in focusing media or wave guides, backscattering and coupling between propagation modes are caused by deterministic or random variations of the refractive index in the distinguished (x) direction of propagation. Various splittings of the wave field into forward and backward traveling components, which lead to coupled equations involving abstract operator coefficients, are presented. Choosing a natural explicit representation for these operators immediately yields a coupled mode form of these equations. The splitting procedure also leads naturally to abstract transmission and reflection operators for slabs of finite thickness (a≤x≤b), and abstract invariant imbedding equations satisfied by these. The coupled mode form of these equations, together with such features as reciprocity (associated with an underlying symplectic structure) are also discussed. The example of a square law medium is used to illustrate some of these concepts.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
العلاقة: https://lib.dr.iastate.edu/physastro_pubs/415Test; https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1424&context=physastro_pubsTest
الإتاحة: https://lib.dr.iastate.edu/physastro_pubs/415Test
https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1424&context=physastro_pubsTest
رقم الانضمام: edsbas.5FEA49E2
قاعدة البيانات: BASE