Physica A 286 (2000) 283–291 www.elsevier.com/locate/physa Multifractal spectra of magnetostatic spin waves in quasiperiodic magnetic multilayers Dory H.A.L. Anselmo a , Gil A. Farias a , R.N. Costa a , E.L. Albuquerque b; ∗ a Departamento de F sica, Universidade Federal do Cear a, Campus do Pici, Fortaleza-CE 60455-760, Brazil b Departamento de F sica, Universidade Federal do Rio Grande do Norte, Natal-RN 59072-970, Brazil Received 25 April 2000 Abstract A multifractal analysis for bulk spin waves propagating in quasiperiodic magnetic multilayers is carried out in the magnetostatic regime. Numerical results are obtained by considering their propagation in these articial structures arranged in the Fibonacci, Thue –Morse and double-period sequences. An analysis for the behavior of the scaling exponent (the diusion constant of the spectra) versus the in-plane wavevector K is also done, leading to interesting results. The spectra are obtained for quasiperiodic structures based on the ferromagnet crystal Fe and the antiferromagnet crystal MnF 2. c 2000 Elsevier Science B.V. All rights reserved. PACS: 75.70.C; 75.30.D; 68.65; 02.30.L Keywords: Fractals; Magnetostatic spin waves; Quasiperiodic systems 1. Introduction Since the introduction of Fractals in early 1980s, complex structures have been studied by using a dierent concept, namely the fractal dimension [1,2]. The use of multifractal and monofractal analysis has proved to be an important tool to simulate (in many cases with impressive agreement with experimental data) real systems [3– 6]. On the other hand, the discovery of quasicrystals by Shechtman et al. [7] has recently attracted a lot of attention, both theoretically [8,9] and experimentally [10,11]. One of the reasons for that is because quasiperiodic systems lie in a spot just between the * Corresponding author. Fax: +55-84-2119217. E-mail address: ela@dfte.ufrn.br (E.L. Albuquerque). 0378-4371/00/$ - see front matter c 2000 Elsevier Science B.V. All rights reserved. PII: S0378-4371(00)00297-1