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fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Publisher: American Physical Society
Languages: English
Types: Article
Subjects: media_dig_tech_and_creative_econ, other, energy

Classified by OpenAIRE into

arxiv: Nonlinear Sciences::Pattern Formation and Solitons
A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses and liquid crystals. Novel exact analytical soliton solutions are presented for a generic nonlinearity, within which known Kerr solitons comprise a subset. Three conservation laws are also reported and numerical simulations examine the stability of the Helmholtz power-law solitons. These simulations have led to the identification of a new propagation feature associated with spatial solitons in power-law media, constituting a new class of oscillatory solution.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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