Abstract (Invited) |

**Nonlinear Properties of Magnonic and
Magnonic-Phononic Crystals**

*Y.Gulyaev, Yu.I.Bespyatykh,
I.E.Dikshtein, S.A.Nikitov (Institute of Radioengineering & Electronics
RAS, Moscow, Russia)*

*e-mail:
nikitov@cplire.ru*

In
a current work a new class of magnetic materials is described and analyzed.
Drawing an analogy with photonic crystals possessing a photonic band, namely
the frequency range where the wave propagation is forbidden, such magnetic
media can be named magnonic and
magnonic-phononic crystals. Such crystals represent the medium in which the
magnetic (and/or elastic) properties are varied periodically. The simplest type
of the one-dimensional magnonic crystals is a multilayered periodic structure
composed from the layers with the different magnetization. Spin waves
propagation through this structure is prohibited within the restricted bands.
It is shown that a localized spin wave mode can exist in a forbidden zone if
the periodicity of the system is broken in a particular place. Such magnonic
crystals in a microwave frequency range can be a challenge for photonic
crystals operating at the visual light frequency band. This work represents the
analysis of such systems along with theoretical and numerical calculations of
forbidden zones and spin wave modes. Nonlinear properties of such crystals are
investigated and novel nonlinear effects due to interaction between spin and
acoustic waves in such complex systems are discussed. Bistability and soliton
formation and interaction are some examples of these nonlinear effects.

Section
: 2