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Ustinov A. B., Drozdovskii A. V., Kalinikos B. A. Envelope solitons and modulation instability of spin waves in magnonic crystals. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 5, pp. 97-111. DOI: 10.18500/0869-6632-2012-20-5-97-111

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Envelope solitons and modulation instability of spin waves in magnonic crystals

Ustinov Aleksej Borisovich, Sankt-Peterburg Electrotechnical University "LETI"
Drozdovskii Andrej Viktorovich, Sankt-Peterburg Electrotechnical University "LETI"
Kalinikos Boris Antonovich, Sankt-Peterburg Electrotechnical University "LETI"

The paper describes results of experimental investigations on a formation of bright and dark envelope solitons with pulsed, monochromatic and two-frequency excitation of microwave spin waves in a magnetic film periodic structure – a magnonic crystal. The envelope solitons were excited at particular frequencies in the vicinity of magnonic bandgaps formed due to the Bragg resonance. 

  1. Remoissenet M. Waves Called Solitons: Concepts and Experiments. Berlin: Springer-Verlag; 1996. 260 p. DOI: 10.1007/978-3-662-03321-0.
  2. Kivshar YS, Agrawal GP. Optical Solitons: From Fibers to Photonic Crystals. Academic Press; 2003. 540 p.
  3. Kalinikos BA, Kovshikov NG, Slavin AN. Envelope solitons and modulation instability of dipole-converted magnetization waves in yttrium iron garnet films. Sov. Phys. JETP. 1988;94(2):159–175 (in Russian).
  4. Chen M, Tsankov MA, Nash JM et al. Backward-volume-wave microwave-envelope solitons in yttrium iron garnet films. Phys. Rev. B. 1994;49(18):12773–12790. DOI: 10.1103/PhysRevB.49.12773.
  5. Serga AA, Andre A, Demokritov SO et al. Black soliton formation from phase-adjusted spin wave packets. J. Appl. Phys. 2004;95(11):6607–6609. DOI: 10.1063/1.1669292.
  6. Marcelli R, Nikitov SA, Filimonov YA et al. Magnetostatic surface wave bright soliton propagation in ferrite-dielectric-metal structures. IEEE Trans. Magn. 2006;42(7):1785–1801. DOI: 10.1109/TMAG.2006.872005.
  7. Fetisov YK, Patton CE, Synogach VT. Envelope solitons in a medium with strong nonlinear damping. JETP Letters. 2006;83(11):488–492. DOI: 10.1134/S002136400611004X.
  8. Kalinikos BA, Kovshikov NG, Slavin AN. Spin wave solitons in ferromagnetic films - observation of modulation instability of spin waves. Sov. Tech. Phys. Lett. 1984;10(15):936–940 (in Russian).
  9. Wu M, Kalinikos BA, and Patton CE. Generation of dark and bright spin wave envelope soliton trains through self-modulational instability in magnetic films. Phys. Rev. Lett. 2004;93(15):157207. DOI: 10.1103/PhysRevLett.93.157207.
  10. Shutyi AM, Sementsov DI. Modulation instability of magnetostatic waves in a magnetically coupled two-layer structure. Physics of the Solid State. 2005;47(12):2268–2273. DOI: 10.1134/1.2142889.
  11. Tsai CS, Young D, Nikitov SA. Microwave and magneto-optic measurements of nonlinear dispersive magnetostatic waves in a yttrium-iron-garnet-gadolinium-gallium-garnet waveguide. J. Appl. Phys. 1998;84(3):1670–1679. DOI: 10.1063/1.368236.
  12. Wu M, Kalinikos BA, Carr LD, Patton CE. Observation of spin-wave soliton fractals in magnetic film active feedback rings. Phys. Rev. Lett. 2006;96(18):187202. DOI: 10.1103/PhysRevLett.96.187202.
  13. Demidov VE. Induced modulation instability of spin waves in ferromagnetic films. JETP Letters. 1998;68(11):869–873. DOI: 10.1134/1.567807.
  14. Boyle JW, Nikitov SA, Boardman AD et al. Observation of cross-phase induced modulation instability of travelling magnetostatic waves in ferromagnetic films. J. Magn. Magn. Mater. 1997;173(3):241–252. DOI: 10.1016/S0304-8853(97)00192-3.
  15. Korotkevich AO, Nikitov SA. Cross-phase modulation of surface magnetostatic spin waves. J. Exp. Theor. Phys. 1999;89(6):1114–1119. DOI: 10.1134/1.559060.
  16. Benner H, Kalinikos BA, Kovshikov NG et al. Observation of spin-wave envelope Dark solitons in ferromagnetic films. JETP Letters. 2000;72(4):213–216. DOI: 10.1134/1.1320116.
  17. Wu M, Kalinikos BA. Coupled modulational instability of copropagating spin waves in magnetic thin films. Phys. Rev. Lett. 2008;101(2):027206. DOI: 10.1103/PhysRevLett.101.027206.
  18. Wu M, Patton CE. Experimental observation of Fermi–Pasta–Ulam recurrence in a nonlinear feedback ring system. Phys. Rev. Lett. 2007;98(4):047202. DOI: 10.1103/PhysRevLett.98.047202.
  19. Wu M, Kalinikos BA, Patton CE. Self-generation of chaotic solitary spinwave pulses in magnetic film active feedback rings. Phys. Rev. Lett. 2005;95(23):237202. DOI: 10.1103/PhysRevLett.95.237202.
  20. Beginin EN, Grishin SV, Sharaevsky YP. Generation of a stationary train of chaotic soliton-like microwave pulses in self-oscillating ring systems with a ferromagnetic thin film. JETP Letters. 2008;88(10):647–650. DOI: 10.1134/S0021364008220025.
  21. Kondrashov AV, Ustinov AB, Kalinikos BA, Benner H. Chaotic microwave self-generation in active rings based on ferromagnetic films. Tech. Phys. Lett. 2008;34(6):492–494. DOI: 10.1134/S1063785008060126.
  22. Wu M, Hagerstrom AM, Eykholt R et. al. Excitation of chaotic spin waves through modulational instability. Phys. Rev. Lett. 2009;102(23):237203. DOI: 10.1103/PhysRevLett.102.237203.
  23. Sykes CG, Adam JD, Collins JH. Magnetostatic wave propagation in a periodic structure. Appl. Phys. Lett. 1976;29(6):388–391. DOI: 10.1063/1.89098.
  24. Carter RL, Owens JM, Smith CV. Ion-implanted magnetostatic wave reflective array filters. J. Appl. Phys. 1982;53(3):2655–2657. DOI: 10.1063/1.330928.
  25. Seshadri SR. A transmission line model for magnetic waves on a thin film. J. Appl. Phys. 1986;60(5):1758–1766. DOI: 10.1063/1.337270.
  26. Voronenko AV, Gerus SV, Kharitonov VD. Diffraction of surface magnetostatic waves by magnetic gratings in the Bragg regime. Soviet Physics Journal. 1988;31(11):76–85 (in Russian).
  27. Gulyaev YV, Nikitov SA, Zhivotovskii LV et al. Ferromagnetic films with magnon bandgap periodic structures: Magnon crystals. JETP Letters. 2003;77(10):567–570. DOI: 10.1134/1.1595698.
  28. Serga AA, Chumak AV, Hillerbrands B. YIG magnonics. J. Phys. D. Appl. Phys. 2010;43(26):264002. DOI: 10.1088/0022-3727/43/26/264002.
  29. Chen N, Slavin AN, Cottam MG. Spin-wave envelope solitons in periodically modulated magnetic films. IEEE Trans. Magn. 1992;28(5):3306–3308. DOI: 10.1109/20.179792.
  30. Chen N, Slavin AN, Cottam MG. Gap solitons in periodic structures: Modulated magnetic thin films. Phys. Rev. B. 1993;47(14):8667–8671. DOI: 10.1103/PhysRevB.47.8667.
  31. Uehara M, Yashiro K, Ohkawa S. Magnetostatic surface wave envelope solitons in a periodic structure. Jpn. J. Appl. Phys. 1999;38(1):61–68.
  32. Maljugina MA, Sharaevskij JP, Sheshukova SE. Mechanisms of formation of envelope solitons in periodic ferromagnetic structures. Izvestiya VUZ. Applied Nonlinear Dynamics. 2010;18(5):111–120 (in Russian). DOI: 10.18500/0869-6632-2010-18-5-111-120.
  33. Beginin EN, Grishin SV, Nikitov SA et al. Generation of chaotic dissipative solitons in active ring resonator with one-dimensional periodic ferromagnetic miscrostructure. Tech. Phys. Lett. 2011;37(11):1065–1069. DOI: 10.1134/S1063785011110204.
  34. Ustinov AB, Grigor’eva NY, Kalinikos BA. Observation of spin-wave envelope solitons in periodic magnetic film structures. JETP Letters. 2008;88(1):31–35. DOI: 10.1134/S0021364008130079.
  35. Drozdovskii AV, Cherkasskii MA, Ustinov AB et al. Formation of envelope solitons of spin-wave packets propagating in thin-film magnon crystals. JETP Letters. 2010;91(1):16–20. DOI: 10.1134/S0021364010010042.
  36. Ustinov AB, Kalinikos BA, Demidov VE, Demokritov SO. Formation of gap solitons in ferromagnetic films with a periodic metal grating. Phys. Rev. B. 2010;81(18):180406. DOI: 10.1103/PhysRevB.81.180406.
  37. Drozdovskii AV, Kalinikos BA. Observation of self-modulation spin-wave instability in a one-dimensional magnonic crystal. JETP Letters. 2012;95(7):357–361. DOI: 10.1134/S0021364012070041.
  38. Ustinov AB, Drozdovskii AV, Kalinikos BA. Multifunctional nonlinear magnonic devices for microwave signal processing. Appl. Phys. Lett. 2010;96(14):142513. DOI: 10.1063/1.3386540.
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