کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1854663 1529870 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A dynamical formulation of one-dimensional scattering theory and its applications in optics
ترجمه فارسی عنوان
فرمول پویایی نظریه پراکندگی یک بعدی و کاربرد آن در اپتیک
کلمات کلیدی
تئوری پراکندگی، ماتریس انتقال، پتانسیل پیچیده، تکینگی طیفی، ضد لیزر، نامرئی یک جهته
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی


• Proposes a dynamical theory of scattering in one dimension.
• Derives and solves dynamical equations for scattering data.
• Gives a new inverse scattering prescription.
• Constructs optical potentials with desired scattering properties.

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical equations. By decoupling and partially integrating these equations, we reduce the scattering problem to a second order linear differential equation with universal initial conditions that is equivalent to an initial-value time-independent Schrödinger equation. We give explicit formulas for the reflection and transmission amplitudes in terms of the solution of either of these equations and employ them to outline an inverse-scattering method for constructing finite-range potentials with desirable scattering properties at any prescribed wavelength. In particular, we construct optical potentials displaying threshold lasing, antilasing, and unidirectional invisibility.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 341, February 2014, Pages 77–85
نویسندگان
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