Analyzing the magnetic influence on magneto-optical interactions_2

2025-04-27 0 0 514.34KB 14 页 10玖币
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Analyzing the magnetic influence on magneto-optical
interactions
Francisco Estrada1and Jos´e Holanda2,∗
1Facultad de Biolog´ıa, Universidad Michoacana de San Nicolas de Hidalgo, Av. F. J.
Mujica s/n Cd. Universitaria, Morelia, Michoac´an, M´exico.
2Programa de P´os-Gradua¸c˜ao em Engenharia F´ısica, Universidade Federal Rural de
Pernambuco, 54518-430, Cabo de Santo Agostinho, Pernambuco, Brazil.
Abstract
Here, we study the magneto-optical interactions in magnetic structures consid-
ering the dependence of the interactions with the magnetic field. We perform
numerical simulations in a structure of magnetic nanowires, considering them as
one chain of strongly interacting single-domain particles. Robustly, we obtain
a quantitative value for the interactions, which allows us to classify them into
two magnetic states: demagnetized and magnetized.
Keywords: Mgneto-optical, magnetic states, interacting system, energy
balance
1. Introduction
The recent interest of the scientific community in magneto-optical inter-
actions has opened the possibility of a global understanding of characteristics
not yet dazzled in nanomaterials [1-6]. Minimizing the bit size in one magneto-
optical system for data recording is a challenge for optoelectronics and spintron-
ics applications [3-14]. Such reduction produces an increase in the interactions
∗Corresponding author: joseholanda.silvajunior@ufrpe.br
Preprint submitted to ArXiv October 25, 2022
arXiv:2210.03997v2 [physics.optics] 23 Oct 2022
between components of the structure. The scientific interest actual is the quan-
tification (codification) of these interactions. One of the systems that have a high
particle distribution density is the arrays of magnetic nanowires electrodeposited
in alumina membranes [6, 8-14]. This type of system can present different mag-
netization reversal modes with a predominant coherent configuration [2, 8-20].
Such systems can be strongly influenced by magneto-optical interactions [2-21].
The influence is detected mainly during the magnetization process with light,
which always presents reversible and irreversible components. Furthermore, a
striking feature of the magnetization process is that it is not possible to separate
the parts of their hysteresis without losing information due to changes in the
magnetic energies of the structure. This means that many properties remain
hidden during the magnetization process and there is a need for understanding.
The study from the magneto-optical interactions can be performed using the
remanent state obtained during the magnetization process [2].
In a particular system, the well-established normalized ∆mcurves (∆mN)
produce results of the interaction effects, such curves are comparisons between
isothermal remanent magnetization (IRM(H)) and direct current demagnetiza-
tion (DCD(H)) curves, which define other physical quantities such as md(H) =
DCD(H)/IRM(HM ax) and mr(H) = IRM(H)/IRM(HM ax) that are nor-
malized considering the value obtained with maximum magnetic field [2, 17, 18,
22-27]. In this paper we present a numerical study on the predominant magneto-
optical interactions in structures, for that, we perform numerical simulations in
a system of magnetic nanowires, considering them as one chain of strongly in-
teracting single-domain particles. After analyzing magneto-optical interactions,
we observe two types of magnetic states, i. e., magnetized and demagnetized,
which reveal the main characteristics of magneto-optical energies. Our approach
seeks to describe the light-matter interaction with the application of a magnetic
field, where the light only serves to excite the magneto-optical effects, that is, all
results are obtained considering the dependence of magneto-optical interactions
with the magnetic field.
2
2. Continuous approach
The effects of the magnetic interactions in structures have been studied by
using ∆mcurves [17, 18, 22-29] or discrete models without analyzing the depen-
dence directly on the magnetic field and light [2]. The ∆mcurves are obtained
through the relationships between the md(H) and mr(H) curves, where the
initial magnetic state of the structure differentiates them. The model proposed
by Stoner Wohlfarth [17, 27] reveals an intrinsic relationship between md(H)
and mr(H) for non-interacting structures. Based on this fact, we propose here
that the magneto-optical interactions for non-interacting particles have one as-
sociated intensity that can be written as
IN−I=
ZHf
HiηN−I
∆HdH
,(1)
where Hf> Hiand ηN−I= [1 −2mr(H)]−md(H). The magnetic fields Hfand
Hirepresent the maximum and minimum fields in the interval ∆H=Hf−Hi,
respectively. In most experimental systems, the minimum magnetic field Hi
is zero. To better describe real systems, Henkel postulated that the difference
in this behavior in a simple design was due to the interactions between the
part of the structure. Usually, in experimental measurements, the data are far
from the curve obtained with equation (1) [17, 18, 22-29]. Thus, equation (1)
considers that the magnetization and demagnetization processes are the same.
Qualitatively, the type of interaction was defined by inserting a term ∆min
equation (1). Based on this, we propose here that the intensity of the magneto-
optical interactions for interacting particles can be written
II=
ZHf
HiηI
∆HdH
,(2)
where ηI= ∆mN+ [1 −2mr(H)] −md(H). The indices N−Iand Iin equa-
tions (1) and (2) are associated with ηfor systems without and with interac-
tions. When the predominant magneto-optical interactions are demagnetizing
(PMOID), ∆mN<0; and when the predominant magneto-optical interactions
are magnetizing (PMOIM), ∆mN>0. The methodology presented here for
3
摘要：

Analyzingthemagneticinuenceonmagneto-opticalinteractionsFranciscoEstrada1andJoseHolanda2;1FacultaddeBiologa,UniversidadMichoacanadeSanNicolasdeHidalgo,Av.F.J.Mujicas/nCd.Universitaria,Morelia,Michoacan,Mexico.2ProgramadePos-Graduac~aoemEngenhariaFsica,UniversidadeFederalRuraldePernambuco,5...

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