Excitations that may appear in cavity magnonics experiments are examined with numerical micromagnetics using a recently developed semi-classical cavity magnonics theory. The theory is generally applicable to linear and nonlinear dynamic systems. In this paper, example applications of the theory for magnetic systems are presented where the dynamics is described using numerical micromagnetics for field driven ferromagnets. Examples of large amplitude driving are studied as a function of drive field amplitude and frequency. We comment also on large amplitude dynamics under elliptically polarized driving fields. The main conclusion is that when implemented together with micromagnetics, the theory can be used to describe cavity photon–magnon coupling for a wide variety of linear and nonlinear magnetic dynamics, thereby providing a useful technique for cavity magnonics.

1.
B.
Zare Rameshti
,
S.
Viola Kusminskiy
,
J. A.
Haigh
,
K.
Usami
,
D.
Lachance-Quirion
,
Y.
Nakamura
,
C.-M.
Hu
,
H. X.
Tang
,
G. E.
Bauer
, and
Y. M.
Blanter
, “
Cavity magnonics
,”
Phys. Rep.
979
,
1
61
(
2022
).
2.
M.
Harder
and
C.-M.
Hu
, “Cavity spintronics: An early review of recent progress in the study of magnon–photon level repulsion,” (Academic Press, 2018), Chap. 2, pp. 47–121.
3.
W. D.
Heiss
, “
Exceptional points of non-Hermitian operators
,”
J. Phys. A
37
,
2455
2464
(
2004
).
4.
W. D.
Heiss
, “
The physics of exceptional points
,”
J. Phys. A
45
,
444016
(
2012
).
5.
H.
Hodaei
,
A. U.
Hassan
,
S.
Wittek
,
H.
Garcia-Gracia
,
R.
El-Ganainy
,
D. N.
Christodoulides
, and
M.
Khajavikhan
, “
Enhanced sensitivity at higher-order exceptional points
,”
Nature
548
,
187
191
(
2017
).
6.
Y.
Yang
,
J.
Rao
,
Y.
Gui
,
B.
Yao
,
W.
Lu
, and
C.-M.
Hu
, “
Control of the magnon-photon level attraction in a planar cavity
,”
Phys. Rev. Appl.
11
,
054023
(
2019
).
7.
Q.
Zhong
,
J.
Ren
,
M.
Khajavikhan
,
D. N.
Christodoulides
,
C. K.
Özdemir
, and
R.
El-Ganainy
, “
Sensing with exceptional surfaces in order to combine sensitivity with robustness
,”
Phys. Rev. Lett.
122
,
153902
(
2019
).
8.
W.
Chen
,
Ş. K.
Özdemir
,
G.
Zhao
,
J.
Wiersig
, and
L.
Yang
, “
Exceptional points enhance sensing in an optical microcavity
,”
Nature
548
,
192
196
(
2017
).
9.
T.-X.
Lu
,
H.
Zhang
,
Q.
Zhang
, and
H.
Jing
, “
Exceptional-point-engineered cavity magnomechanics
,”
Phys. Rev. A
103
,
063708
(
2021
).
10.
I.
Proskurin
,
A. S.
Ovchinnikov
,
J.-I.
Kishine
, and
R. L.
Stamps
, “
Cavity optomechanics of topological spin textures in magnetic insulators
,”
Phys. Rev. B
98
,
220411
(
2018
).
11.
I.
Proskurin
,
R.
Macêdo
, and
R. L.
Stamps
, “
Microscopic origin of level attraction for a coupled magnon-photon system in a microwave cavity
,”
New J. Phys.
21
,
095003
(
2019
).
12.
M.
Harder
,
B. M.
Yao
,
Y. S.
Gui
, and
C.-M.
Hu
, “
Coherent and dissipative cavity magnonics
,”
J. Appl. Phys.
129
,
201101
(
2021
).
13.
Y.
Tserkovnyak
, “
Exceptional points in dissipatively coupled spin dynamics
,”
Phys. Rev. Res.
2
,
013031
(
2020
).
14.
Y.-P.
Wang
and
C.-M.
Hu
, “
Dissipative couplings in cavity magnonics
,”
J. Appl. Phys.
127
,
130901
(
2020
).
15.
I.
Proskurin
,
J. O.
Iyaro
, and
R. L.
Stamps
, “
Mode attraction in Floquet systems with memory: Application to magnonics
,”
Phys. Rev. B
105
,
224420
(
2022
).
16.
G.
Bertotti
,
C.
Serpico
, and
I. D.
Mayergoyz
, “
Nonlinear magnetization dynamics under circularly polarized field
,”
Phys. Rev. Lett.
86
,
724
727
(
2001
).
17.
G.
Bertotti
,
I.
Mayergoyz
, and
C.
Serpico
, “
Perturbation technique for Landau–Lifshitz–Gilbert equation under elliptically polarized fields
,”
Phys. B
306
,
47
51
(
2001
).
18.
A.
Vansteenkiste
,
J.
Leliaert
,
M.
Dvornik
,
M.
Helsen
,
F.
Garcia-Sanchez
, and
B.
Van Waeyenberge
, “
The design and verification of MuMax3
,”
AIP Adv.
4
,
107133
(
2014
).
19.
R.
Macêdo
,
R. C.
Holland
,
P. G.
Baity
,
L. J.
McLellan
,
K. L.
Livesey
,
R. L.
Stamps
,
M. P.
Weides
, and
D. A.
Bozhko
, “
Electromagnetic approach to cavity spintronics
,”
Phys. Rev. Appl.
15
,
024065
(
2021
).
20.
Y.
Li
,
V. V.
Naletov
,
O.
Klein
,
J. L.
Prieto
,
M.
Muñoz
,
V.
Cros
,
P.
Bortolotti
,
A.
Anane
,
C.
Serpico
, and
G.
de Loubens
, “
Nutation spectroscopy of a nanomagnet driven into deeply nonlinear ferromagnetic resonance
,”
Phys. Rev. X
9
,
041036
(
2019
).
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