منابع مشابه
On Monochromatic Ascending Waves
A sequence of positive integers w1, w2, . . . , wn is called an ascending wave if wi+1 − wi ≥ wi − wi−1 for 2 ≤ i ≤ n − 1. For integers k, r ≥ 1, let AW (k; r) be the least positive integer such that under any r-coloring of [1, AW (k; r)] there exists a k-term monochromatic ascending wave. The existence of AW (k; r) is guaranteed by van der Waerden’s theorem on arithmetic progressions since an ...
متن کاملMultiple scattering of classical waves: microscopy, mesoscopy, and diffusion
A tutorial discussion of the propagation of waves in random media is presented. To a first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are presented. These corrections are calculated with the radiative transfer or Schwarzschild-Milne equation, which describes intensity transport at the ‘‘mesoscopic’’ level and is derived fr...
متن کاملLocalization of Classical Waves I : Acoustic Waves
We consider classical acoustic waves in a medium described by a position dependent mass density %(x). We assume that %(x) is a random perturbation of a periodic function % 0 (x) and that the periodic acoustic operator A 0 = ?r 1 % 0 (x) r has a gap in the spectrum. We prove the existence of localized waves, i.e., nite energy solutions of the acoustic equations with the property that almost all ...
متن کاملPlan of the Article 1. Prologue 2. Interference of Two Light Waves 2.1 the Case of Two Monochromatic Waves 2.2 the Case of Quasi-monochromatic Waves
We have presented the basic mathematical treatment of interferometry in the optical domain. Its applications in astronomical observations using both the single aperture, as well as the diluted apertures are described in detail. We have also described about the shortcomings of this technique in the presence of Earth’s atmosphere. A short descriptions of the atmospheric turbulence and its effect ...
متن کاملWaves in Classical Physics
If I say the word “wave” in no particular context, the image which most probably springs to your mind is one of a roughly periodic undulation on the surface of a pond or, perhaps, the sea. But the concept of a wave in classical physics is actually much more general, and in particular the periodicity is not really an essential aspect. At least in classical (i.e. pre-relativistic as well as pre-q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2006
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.73.016618