We present a near-field diffraction model for spin waves in perpendicularly magnetized films applicable in any geometries of excitation fields. This model relies on Kalinikos–Slavin formalism to express the dynamic susceptibility tensor in k-space and calculate the diffraction patterns via inverse 2D-Fourier transform of the response functions. We show an excellent quantitative agreement between our model and MuMax3 micro-magnetic simulations on two different geometries of antennas. Our method benchmarks spin wave diffraction in perpendicularly magnetized films and is readily applicable for future designs of magnon beamforming and interferometric devices.

1.
A. V.
Chumak
,
V. I.
Vasyuchka
,
A. A.
Serga
, and
B.
Hillebrands
,
Nat. Phys.
11
,
453
(
2015
).
2.
A. V.
Chumak
, “Magnon spintronics: Fundamentals of magnon-based computing,” in Spintronics Handbook: Spin Transport and Magnetism, 2nd ed. (CRC Press, Boca Raton, FL, 2019), pp. 247–302.
3.
A.
Barman
et al.,
J. Phys.: Condens. Matter
33
,
413001
(
2021
).
4.
A. V.
Chumak
,
A. A.
Serga
, and
B.
Hillebrands
,
J. Phys. D: Appl. Phys.
50
,
244001
(
2017
).
5.
A. V.
Chumak
,
P.
Kabos
,
M.
Wu
,
C.
Abert
,
C.
Adelmann
,
A. O.
Adeyeye
,
J.
Åkerman
,
F. G.
Aliev
,
A.
Anane
,
A.
Awad
, and
C. H.
Back
,
IEEE Trans. Magn.
58
,
6
(
2022
).
6.
A. V.
Chumak
,
A. A.
Serga
, and
B.
Hillebrands
,
Nat. Commun.
5
,
4700
(
2014
).
7.
A.
Khitun
,
M.
Bao
, and
K. L.
Wang
,
J. Phys. D: Appl. Phys.
43
(
26
),
264005
(
2010
).
8.
G.
Talmelli
et al.,
Sci. Adv.
58
,
6
(
2022
).
9.
A.
Khitun
,
J. Appl. Phys.
113
,
164503
(
2013
).
10.
F.
Gertz
,
A.
Kozhevnikov
,
Y.
Filimonov
, and
A.
Khitun
,
IEEE Trans. Magn.
51
,
4002905
(
2014
).
11.
A.
Khitun
,
J. Appl. Phys.
118
,
243905
(
2015
).
12.
J.
Grollier
,
D.
Querlioz
,
K. Y.
Camsari
,
K.
Everschor-Sitte
,
S.
Fukami
, and
M. D.
Stiles
,
Nat. Electron.
3
,
360
(
2020
).
13.
Á.
Papp
,
W.
Porod
, and
G.
Csaba
,
Nat. Commun.
12
,
6422
(
2021
).
14.
P.
Gruszecki
,
J.
Romero-Vivas
,
Y. S.
Dadoenkova
,
N. N.
Dadoenkova
,
I. L.
Lyubchanskii
, and
M.
Krawczyk
,
Appl. Phys. Lett.
105
,
242406
(
2014
).
15.
J.
Stigloher
,
M.
Decker
,
H. S.
Körner
,
K.
Tanabe
,
T.
Moriyama
,
T.
Taniguchi
,
H.
Hata
,
M.
Madami
,
G.
Gubbiotti
,
K.
Kobayashi
,
T.
Ono
, and
C. H.
Back
,
Phys. Rev. Lett.
117
,
037204
(
2016
).
16.
P.
Gruszecki
,
M.
Mailyan
,
O.
Gorobets
, and
M.
Krawczyk
,
Phys. Rev. B
95
,
014421
(
2017
).
17.
J.
Gräfe
,
M.
Decker
,
K.
Keskinbora
,
M.
Noske
,
P.
Gawronski
,
H.
Stoll
,
C. H.
Back
,
E. J.
Goering
, and
G.
Schütz
,
Phys. Rev. B
102
,
024420
(
2020
).
18.
P.
Gruszecki
,
M.
Kasprzak
,
A. E.
Serebryannikov
,
M.
Krawczyk
, and
W.
Śmigaj
,
Sci. Rep.
6
,
22367
(
2016
).
19.
H. S.
Körner
,
J.
Stigloher
, and
C. H.
Back
,
Phys. Rev. B
96
,
100401
(
2017
).
20.
N.
Loayza
,
M. B.
Jungfleisch
,
A.
Hoffmann
,
M.
Bailleul
, and
V.
Vlaminck
,
Phys. Rev. B
98
,
144430
(
2018
).
21.
B.
Divinskiy
,
N.
Thiery
,
L.
Vila
,
O.
Klein
,
N.
Beaulieu
,
J.
Ben Youssef
,
S. O.
Demokritov
, and
V. E.
Demidov
,
Appl. Phys. Lett.
116
,
062401
(
2020
).
22.
I.
Bertelli
,
J. J.
Carmiggelt
,
T.
Yu
,
B. G.
Simon
,
C. C.
Pothoven
,
G. E. W.
Bauer
,
Y. M.
Blanter
,
J.
Aarts
, and
T.
Van Der Sar
,
Sci. Adv.
6
,
3556
(
2020
).
23.
E. D.
Albisetti
,
S.
Tacchi
,
R.
Silvani
,
G.
Scaramuzzi
,
S.
Finizio
,
S.
Wintz
,
C.
Rinaldi
,
M.
Cantoni
,
J.
Raabe
,
G.
Carlotti
,
R.
Bertacco
,
E.
Riedo
, and
D.
Petti
,
Adv. Mater.
5
,
1906439
(
2020
).
24.
F.
Heussner
,
G.
Talmelli
,
M.
Geilen
,
B.
Heinz
,
T.
Brächer
,
T.
Meyer
,
F.
Ciubotaru
,
C.
Adelmann
,
K.
Yamamoto
,
A. A.
Serga
,
B.
Hillebrands
, and
P.
Pirro
,
Phys. Status Solidi RRL
14
,
1900695
(
2020
).
25.
B. A.
Kalinikos
, “
Spectrum and linear excitation of spin waves in ferromagnetic films
,”
Sov. Phys. J.
24
,
718
(
1981
).
26.
B. A.
Kalinikos
and
A. N.
Slavin
,
J. Phys. C: Solid State Phys.
19
,
7013
(
1986
).
27.
K. Y.
Guslienko
and
A. N.
Slavin
,
J. Magn. Magn. Mater.
323
,
2418
(
2011
).
28.
D.
Chumakov
, Dissertation, Technische Universität Dresden, 2007; see https://www.ifw-dresden.de/userfiles/groups/imw_folder/publications/theses/Dr_Chumakov.pdf.
29.
M. B.
Jüngfleisch
,
J.
Ding
,
W.
Zhang
,
W.
Jiang
,
J. E.
Pearson
,
V.
Novosad
, and
A.
Hoffmann
,
Nano Lett.
17
,
8
(
2017
).
30.
A.
Vansteenkiste
,
J.
Leliaert
,
M.
Dvornik
,
M.
Helsen
,
F.
Garcia-Sanchez
, and
B.
Van Waeyenberge
,
AIP Adv.
4
,
107133
(
2014
).

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