Systematic approach to complex periodic vortex and helix lattices
نویسندگان
چکیده
منابع مشابه
Asymmetric vortex solitons in nonlinear periodic lattices.
We reveal the existence of asymmetric vortex solitons in ideally symmetric periodic lattices and show how such nonlinear localized structures describing elementary circular flows can be analyzed systematically using the energy-balance relations. We present the examples of rhomboid, rectangular, and triangular vortex solitons on a square lattice and also describe novel coherent states where the ...
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. To exclude functions, as in Example L.2.b, that are constant in some direction, it suffices to require that 0 be an isolated point of Pf . That is, to require that there be a number r > 0 such that every nonzero γ ∈ Pf obeys |γ| ≥ r. Proposition L.3 If P is an additive subgroup of IR and 0 is an isolated point of P, then there are d ≤ d and independent vectors γ1, · · · , γd′ ∈ IR d such that...
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. To exclude functions, as in Example L.2.b, that are constant in some direction, it suffices to require that 0 be an isolated point of Pf . That is, to require that there be a number r > 0 such that every nonzero γ ∈ Pf obeys |γ| ≥ r. Proposition L.3 If P is an additive subgroup of IR and 0 is an isolated point of P, then there are d ≤ d and independent vectors γ1, · · · , γd′ ∈ IR d such that...
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ژورنال
عنوان ژورنال: Optics Express
سال: 2011
ISSN: 1094-4087
DOI: 10.1364/oe.19.009848