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Analytical modeling of compound metallic reflection gratings

Medina Mena, Francisco; Mesa Ledesma, Francisco Luis; Skigin, Diana Carina · 2011

Abstract

The transmission and reflection of electromagnetic waves impinging on metallic surfaces with periodically distributed slits (diffraction gratings) have been the subject of thorough studies using numerical and experimental approaches. Of special interest are the properties of the so-called compound gratings, which are periodic arrays of slits whose unit cell contains several of them. The transmission properties of such diffraction gratings have been studied along the last few years both theoretically (D.C. Skigin and R.A. Depine, Phys. Rev. Lett., 95, 217402, 2005) and experimentally (A.P. Hibbins et al., Phys. Rev. Lett., 96, 257402, 2006; M. Navarro-Ca et al., App. Phys. Lett., 94, 091107, 2009). However, analytical models are very useful for design purposes and, moreover, they provide physical insight that is not obvious from numerical approaches. For compound transmission gratings, the authors of this contribution recently developed a circuit-model-based analytical approach (F. Medina, F. Mesa and D.C. Skigin, IEEE Trans. on Mic. Theory Tech., 58, 105-115, 2010) that captures the essential physics of these optical systems. Thus, compound transmission gratings are now well understood, and numerical or analytical design tools are available.

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Analytical modeling of compound metallic reflection gratings

Author: Medina Mena, Francisco; Mesa Ledesma, Francisco Luis; Skigin, Diana Carina
Publisher: Institute of Electrical and Electronics Engineers
Year: 2011
DOI: 10.1109/APS.2011.5996648
Source: https://idus.us.es/bitstreams/01434b9a-ab60-47d3-9f5c-3c27c9a08549/download
Analy ical modeling o compound me allic eflec ion g a ings
F ancisco Medina1, F ancisco Mesa2, and Diana C. Skigin3
1Uni e si y o Se ille, Dep . o Elec onics and Elec omagne ism,
A . Reina Me cedes s/n, 41012-Se ille, Spain
2Uni e si y o Se ille, Dep . o Applied Physics I,
A . Reina Me cedes s/n, 41012-Se ille, Spain
3Uni e sidad de Buenos Ai es and IFIBA (CONICET),
Dep . de Fsica, FECN, Ciudad Uni e si a ia, Pabell´on I,
C1428EHA Buenos Ai es, A gen ina
The ansmission and eflec ion o elec omagne ic wa es impinging on me allic su -
aces wi h pe iodically dis ibu ed sli s (diff ac ion g a ings) ha e been he subjec
o ho ough s udies using nume ical and expe imen al app oaches. O special in e -
es a e he p ope ies o he so-called compound g a ings, which a e pe iodic a ays
o sli s whose uni cell con ains se e al o hem. The ansmission p ope ies o such
diff ac ion g a ings ha e been s udied along he las ew yea s bo h heo e ically
(D.C. Skigin and R.A. Depine, Phys. Re . Le ., 95, 217402, 2005) and expe imen-
ally (A.P. Hibbins e al., Phys. Re . Le ., 96, 257402, 2006; M. Na a o-Ca e al.,
App. Phys. Le ., 94, 091107, 2009). Howe e , analy ical models a e e y use ul
o design pu poses and, mo eo e , hey p o ide physical insigh ha is no ob ious
om nume ical app oaches. Fo compound ansmission g a ings, he au ho s o his
con ibu ion ecen ly de eloped a ci cui -model-based analy ical app oach (F. Med-
ina, F. Mesa and D.C. Skigin, IEEE T ans. on Mic. Theo y Tech., 58, 105-115,
2010) ha cap u es he essen ial physics o hese op ical sys ems. Thus, compound
ansmission g a ings a e now well unde s ood, and nume ical o analy ical design
ools a e a ailable.
O he ela ed s uc u es o g ea in e es a e he eflec ion g a ings wi h compound
uni cells. In hese s uc u es he sli s do no connec he wo hal spaces a bo h
sides o he me al pla e and only eflec ion ope a ion is allowed. The heo e ical
analysis o his kind o g a ings showing na ow band phase esonances was e-
po ed a ew yea s ago (A.N. Fan ino e al., Phys. Re . E, 64, 016605, 2001; S.I.
G osz e al., Phys. Re . E, 65, 056619, 2002). The heo e ical p edic ions in hose
pape s ha e ecen ly been confi med h ough expe imen s ca ied ou in he mil-
limi e wa e ange (M. Be ue e e al., Op . Exp ess, 18, 23957-23964, 2010). The
pu pose o his con ibu ion is o p o ide ci cui -like analy ical models ha gi e sim-
ple and accu a e explana ion o he obse ed phenomenology o hese s uc u es.
The models a e based on he use o lossless/lossy ansmission lines and lumped
elemen s accoun ing o p opaga ing and e anescen fields in he diffe en egions o
he pe iodic s uc u e. Ve y accu a e ag eemen wi h nume ical and expe imen al
da a is achie ed p o ided some es ic ions on he dimensions o he sli wid hs a e
en o ced. Quali a i e explana ion o he obse ed eflec ion spec a is simple using
his model and he in ol ed compu a ional complexi y is much smalle han ha
equi ed by ull-wa e nume ical app oaches.
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