کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1859295 1530602 2012 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum
چکیده انگلیسی

We consider generalizations of the Berry and Balazs nonspreading and accelerating solution of the time-dependent Schrödinger equation in empty space, which has been experimentally demonstrated in paraxial optics. In particular, we show that the original nonspreading wave packet is unstable. An explicit variation of the initial Airy-state evolves into the self-accelerating and self-compressing solution presented here. Quasi-diffraction-free finite energy Airy beams that are more realistic for experimental study are obtained by analytic continuation and their Wigner function is evaluated. Nonlinear generalizations related to second Painlevé transcendents are briefly discussed.


► Generalizations of the nonspreading and accelerating solution of the Schrödinger equation.
► Stability of the Airy beams.
► Wigner function of quasi-diffraction-free finite energy Airy beams.
► Nonlinear generalizations related to second Painlevé transcendents.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 377, Issues 1–2, 3 December 2012, Pages 33–38
نویسندگان
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