Marqués et al. reply

Ma que ´se al. Reply: The Commen [1] by Kond a ’e and Smi no (KS) p o ides an al e na i e explana ion o he esul s in Re . [2]. I is no unusual o explain a physical phenomenon om a ious pe spec i es. Howe e , KS i mly s a e ha he heo y in Re . [2] is w ong. In ou opinion, KS s a om a se ious misin e - p e a ion. Al hough i is ob ious ha a wa eguide illed wi h an iso opic ‘‘medium ha ing "1and  e <0’’ does no ansmi elec omagne ic wa es, such a model is no conside ed anywhe e in Re . [2]. In ou wo k, he wa eguide loaded wi h a single ow o spli ing esona o s (SRRs) is jus conside ed as he uni cell o a quasicon inuous (a a la ge scale) e ec i e medium (see Fig. 6 in [2] o Fig. 3 in [3]). The hollow wa eguide beha es as a 1D plasma wi h e ec i e pe mi i i y e  01!2 c=!2. Fo he dominan mode, he a e age ields ac oss he wa eguide sec ion a e ans e se, and he pola iza ion o he uni cell a ising om he walls cu en , Pp=a3, is ela ed o he a e age elec ic ield by P0!c=!2hEi. The uni cell magne iza ion is p opo ional o he a e age magne ic ield h ough a ( esonan ) scala e ec i e magne ic suscep ibili y, e . This ollows om he symme y o he s uc u e (see Fig. 2 in [2]): he a e age magne ic ield is no mal o he SRR axis, he unique possible di ec ion o magne i- za ion. As a i s app oxima ion, e was chosen o be he e ec i e magne ic suscep ibili y (along he xaxis) o he in ini e 3D SRR medium. Since he a e age ields a e ans e se, hey o m a TEM plane wa e whose dispe - sion ela ion is k! e e p[e 01e ]. Thus, i is he whole sys em consis ing o he wa eguide plus he SRRs ha beha es as he uni cell o a 1D le - handed medium in ou pic u e. No e ha he SRR-loaded wa eguide is ea ed as a disc e e sys em a he scale o he uni cell dimensions (xyza), bu as a homogeneous medium a he la ge scale o a ia ion o he a e age elec omagne ic ield (2=k). Al hough KS’s in e p e a ion leads o exac ly he same quan i a i e esul o he dispe sion ela ion [see Eq. (5) o KS [1] and Eqs. (1) and (2) o [2]], he applica ion o his analysis o he single ow o ings in Re . [2] does no seem o be plausible. Ul ima ely, wha KS assume is ha he elec o- magne ic wa es p opaga ing along he loaded wa eguide a e he supe posi ion o wo plane wa es wi h wa e ec o s kx=a ; kz, p opaga ing along an in ini e homogeneous aniso opic medium wi h xx 0.How- e e , a he scale o he a ia ions o such hypo he ical plane wa es, 2=  k2 xk2 z q<2a, he SRR sys em should be iewed as a disc e e pe iodic s uc u e a he han as a con inuous medium. In con as , a he la ge scale sugges ed in Re . [2], Fig. 6, and in Re . [3], Fig. 3, he con inuous-medium pe spec i e is ully jus i ied, p o- ided a. In o de o illus a e he abo e poin , we ha e ca ied ou an expe imen simila o ha epo ed in Fig. 5(a) o Re . [2] including wo addi ional SRRs loca ed be ween he h ee SRRs conside ed in Re . [2] bu ha ing hei axes pa allel o he wa eguide axis. Following he a ion- ale implici in KS’s Commen [1], he esul ing s uc u e would be, oughly speaking, equi alen o a wa eguide illed wi h a homogeneous medium ha ing zz xx  e ope a ing a cu o . Howe e , he expe imen al e- sul s in Fig. 1 show ha he addi ional SRRs do no a ec he quali a i e beha io o he de ice. This esul is in ag eemen wi h ou poin o iew, which conside s he whole sys em as he uni cell o a 1D le -handed medium (wi h he e ec i e pe meabili y o he SRR subsys em along he xaxis, e , and he e ec i e pe mi i i y o he wa eguide, e ). We belie e ha his expe imen conclu- si ely suppo s ou in e p e a ion. This esea ch was suppo ed by Spanish MCyT and EU-FEDER unds unde P ojec No. TIC2001-3163. R. Ma que ´s, J. Ma el, F. Mesa, and F. Medina Uni e si y o Se illa, 41012-Se illa, Spain Recei ed 21 May 2003; published 8 Decembe 2003 DOI: 10.1103/PhysRe Le .91.249402 PACS numbe s: 42.70.Qs, 41.20.Jb, 42.25.Bs, 73.20.M [1] I. G. Kond a ’e and A. I. Smi no , p eceding Commen , Phys. Re . Le . 91, 249401 (2003). [2] R. Ma que ´se al., Phys. Re . Le . 89, 183901 (2002). [3] R. Ma que ´se al., Mic owa e Op . Technol. Le . 35,405 (2002). FIG. 1. Rough 1D le -handed medium simula ion wi h addi- ional SRRs. PHYSICAL REVIEW LETTERS week ending 12 DECEMBER 2003 VOLUME 91, NUMBER 24 249402-1 0031-9007=03=91(24)=249402(1)$20.00 2003 The Ame ican Physical Socie y 249402-1