Abstract
Wave transport in a media with slow spatial gradient of its characteristics is found to exhibit a universal wave pattern ("gradient marker") in a vicinity of the maxima/minima of the gradient. In contrast to e. g. Anderson localization [1] and quantum carpets [2] it may exist in the absence of confining structures or quantum potential as well as of multi-mode interference. The pattern is common for optics, quantum mechanics and any other propagation governed by the same wave equation. Derived analytically, it has an elegantly simple yet nontrivial single-cycle profile [3], which is found to be in perfect agreement with numerical simulations for specific examples.
© 2012 Optical Society of America
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