A weakly nonlinear multiple-scales analysis is performed for singly resonant second-harmonic generation. Coupled amplitude equations are derived that describe pattern formation above the transverse instability threshold. The amplitude equations explain the absence of roll patterns and are in good agreement with numerical results. (C) 2000 Elsevier Science B.V. All rights reserved.
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Univ Paris Diderot, CNRS UMR 7162, Mat & Phenomenes Quant, Sorbonne Paris Cite, 10 Rue A Domon & L Duquet, F-75013 Paris, FranceUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
Gili, Valerio F.
Rocco, Davide
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Univ Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
INO CNR, Via Branze 38, I-25123 Brescia, ItalyUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
Rocco, Davide
Favero, Ivan
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Univ Paris Diderot, CNRS UMR 7162, Mat & Phenomenes Quant, Sorbonne Paris Cite, 10 Rue A Domon & L Duquet, F-75013 Paris, FranceUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
Favero, Ivan
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Locatelli, Andrea
Zayats, Anatoly V.
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Kings Coll London, Dept Phys, London WC2R 2LS, EnglandUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
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Univ Paris Diderot, CNRS UMR 7162, Mat & Phenomenes Quant, Sorbonne Paris Cite, 10 Rue A Domon & L Duquet, F-75013 Paris, FranceUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy
Leo, Giuseppe
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De Angelis, Costantino
Neshev, Dragomir N.
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Australian Natl Univ, Res Sch Phys & Engn, Nonlinear Phys Ctr, Canberra, ACT 2601, AustraliaUniv Brescia, Dept Informat Engn, Via Branze 38, I-25123 Brescia, Italy