Commen on ‘‘Elec omagne ic esonances in indi idual and coupled
spli - ing esona o s’’ †J. Appl. Phys. 92, 2929 „2002…‡
R. Ma que
´s,a) F. Medina, and R. Ra ii-El-Id issi
Depa amen o de Elec o
´nica y Elec omagne ismo, Facul ad de Fı
´sica, Uni e sidad de Se illa,
A . Reina Me cedes s/n, 41012 Se illa, Spain
共Recei ed 3 Decembe 2002; accep ed 28 May 2003兲
I is poin ed ou ha he ecen ly epo ed esonances appea ing in spli - ing esona o s a e explained
by he ecen ly epo ed heo y abou he magne oelec ic coupling 共o bianiso opy兲in he enso
pola izabili y o hese pa icles. © 2003 Ame ican Ins i u e o Physics.
关DOI: 10.1063/1.1592317兴
Gay-Balmaz and Ma in ha e p esen ed a de ailed and
indep h nume ical and expe imen al analysis o he so-called
spli - ing esona o s 共SRRs兲.1These pa icles we e ecen ly
p oposed by Pend y and co-wo ke s2as sui able elemen a y
b icks o build up a i icial media wi h special elec omag-
ne ic p ope ies, such as nega i e magne ic pe meabili y2
and/o nega i e e ac i e index3,4 when combined wi h a i-
icial plasma media 共conduc ing wi e media兲. The analysis
and expe imen s epo ed in Re . 1 con i m he p edic ions in
Re . 2 abou he beha io o an indi idual SRR when i is
placed in an ex e nal ime- a ying magne ic ield. Apa om
he con i ma ion o he p edic ions o Pend y e al.,2some
in e es ing esul s conce ning he beha io o hese pa icles
a e also epo ed in Re . 1. Among hese esul s, i can be
ound he exci a ion o a esonance when he SRR is illumi-
na ed by an ex e nal elec omagne ic wa e wi h he magne ic
ield pe pendicula o he pa icle axis 关 he so-called ‘‘pe -
pendicula ’’ pola iza ion in Fig. 1共a兲o Re . 1兴. Since, in his
case, he magne ic lux ac oss he ings anish, his beha io
is no expec ed om he heo y epo ed in Re . 2 and de-
se es a commen in o de o cla i y he unde lying physics.
In ac , some mon hs be o e he publica ion o Re . 1,
he au ho s o his commen published a heo y abou he
ele an pola izabili ies o he SRR pa icle5in oducing
some e inemen s on p e iously epo ed models. This
heo y—which could no be known by he au ho s o Re . 1
a he da e o he submission—comple es he o me model
o Re . 2 by aking in o accoun magne oelec ic couplings in
he pa icle. In b ie , i can be said ha ou esonan pola -
izabili ies a e p edic ed in:5 he so-called magne ic,
␣
zz
mm ,
elec ic,
␣
yy
ee , and magne oelec ic,
␣
yz
em⫽⫺
␣
zy
me , pola iz-
abili ies 共see Re . 5 o no a ion and coo dina e axis de ini-
ions兲. The i s o hese pola izabili ies is accoun ed o in
he heo y epo ed in Re . 2 and i is esponsible o one o
he esonances shown in Fig. 2 o Re . 1 共 he one co e-
sponding o pa allel pola iza ion兲. Al hough he emaining
pola izabili ies a e no p edic ed in Re . 2, hey do lead o
physical e ec s. In pa icula , he
␣
yy
ee pola izabili y should
p oduce a esonan abso p ion peak when he pa icle is
placed in an ex e nal elec ic ield pola ized as in Fig. 1共a兲o
Re . 1 共i.e., pe pendicula o he pa icle axis and o he
s aigh line in he plane o he ing passing h ough he ing
sli s兲. The
␣
zy
me and
␣
yz
em pola izabili ies also yield a esonan
abso p ion peak o bo h ‘‘pa allel’’ and pe pendicula pola -
iza ions o he inciden wa e shown in Fig. 1共a兲o Re . 1.
All hese esonances a e epo ed in Re . 1, Figs. 2–5, as
a esul o bo h expe imen s and compu e simula ions. I is
also o in e es he ac ha no esonan abso p ion was ob-
se ed o inciden wa es wi h he pe pendicula pola iza ion
shown in Fig. 1共b兲o Re . 1. This ac is also consis en wi h
he heo y epo ed in Re . 5, since no esonan pola izabil-
i ies a e p edic ed in such a heo y ha could be exci ed by
inciden wa es wi h his ield pola iza ion. The ela i e
s eng h o he esonances 共which a e weake o pe pendicu-
la pola iza ion兲can be also explained om he nume ical
alues o he di e en pola izabili ies compu ed wi h he
model in Re . 5.
The e o e, i can be concluded ha he esul s epo ed in
Re . 1 p o ide an expe imen al and nume ical e i ica ion o
he heo y epo ed in Re . 5. Al hough in Re . 5, indi ec
nume ical and expe imen al e idence o he heo y was
gi en, we hink ha he expe imen s and nume ical simula-
ions in Re . 1 p o ide a much mo e di ec e i ica ion o
such a heo y. The aim o his commen is o poin ou his
ac and o ecognize he con ibu ion o he au ho s o Re . 1
o his pa icula p oblem.
1P. Gay-Balmaz and O. J. F. Ma in, J. Appl. Phys. 92, 2929 共2002兲.
2J. B. Pend y, A. J. Holden, D. J. Robbins, and W. J. S ewa , IEEE T ans.
Mic owa e Theo y Tech. 47, 2075 共1999兲.
3D. R. Smi h, W. J. Padilla, D. C. Vie , S. C. Nema -Nasse , and S. Schul z,
Phys. Re . Le . 84, 4184 共2000兲.
4R. A. Shelby, D. R. Smi h, and S. Schul z, Science 292,77共2001兲.
5R. Ma que
´s, F. Medina, and R. Ra ii-El-Id issi, Phys. Re . B 65, 144440
共2002兲.
a兲Elec onic mail: [email p o ec ed]
JOURNAL OF APPLIED PHYSICS VOLUME 94, NUMBER 4 15 AUGUST 2003
27700021-8979/2003/94(4)/2770/1/$20.00 © 2003 Ame ican Ins i u e o Physics