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Floquet-Bloch Theory and Its Application to the Dispersion Curves of Nonperiodic Layered Systems
Full text version from Chalmers Publication Library (CPL)
Gómez García, P. ; Fernandez-Alvarez, J.
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[(cell)-206.2(asp)-9.5(e)-5.1(c)-7.1(t)-206.4(ra)18.9(t)-5.7(i)-0.5(os)-204.6(under)-206.6(.)-205(acc)-7.1(ura)18.9(t)5.4(e)-206.9(d)-0.5(isp)-9.5(e)-0.1(r)5.1(s)-0.9(io)11.6(n)-205.3(c)-7.1(ur)-30(v)7.8(e)-0.1(s)-205.6(a)8.9(r)12.2(e)-205.8(o)4.6(b)10.7(t)-6.7(a)8.9(in)]TJ
25.3955 0 TD
0.2052 Tc
[(e)200.6(d)211.3(. )209.2(em)209.2(e)205.6(t)199(h)209.2(o)196.3(di)208.2(s)205.2(n)208.2(a)200.5(l)200.2(l)212.3(yu)208.2(s)196.8(e)200.6(dt)211.1(oe)205.6(s)209.9(t)200(i)205.2(m)208.2(a)224.6(t)211.1(et)199(h)209.2(e)0.9(e)209.6(l)202.3(a)208.6(s)209.9(t)200.1(i)205.2(cp)200.2(a)214.6(r)204.8(a)214.6(m)209.2(e)205.6(t)211.1(e)205.6(r)210.8(so)217.3(f)]TJ
-25.3955 -1.1664 TD
0.2272 Tc
[(ar)239.9(e)221.6(a)222.6(ls)231.9(t)233.1(e)222.6(e)231.6(l)0.4(s)230.9(l)224.2(a)235.6(b)256.4(.)]TJ
/F2 1 Tf
11.9551 0 0 11.9551 50.58 243.399 Tm
0 Tc
[(1.)-250.3(Introduction)]TJ
/F3 1 Tf
9.9626 0 0 9.9626 50.58 222.609 Tm
-0.0003 Tc
[(Flo)-9.7(q)9.3(uet-B)5.9(l)-0.2(o)-9.7(c)6.2(h)-321.8(\()-0.3(her)12.1(e)-6.2(a)8.7(\015)6.2(er)-322.2(F)19.2(-)-0.2(B\))-321.9(t)-7(h)3.4(e)-5.3(o)11(r)-29.5(y)-320(p)11.5(r)12.1(o)15.5(v)-3.4(ides)-321.7(a)-321.9(s)5.3(t)-6.1(r)-0.6(a)18.6(t)5.7(eg)-24.6(y)-321.8(t)5.7(o)]TJ
0 -1.141 TD
-0.0099 Tc
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T*
-0.0004 Tc
[(q)9.2(u)-0.6(et)26.4()94.3(s)-226(s)-8.3(e)0(mina)-5.9(l)-226.2(p)-5.8(a)18.5(p)-9.4(er)-226.5(de)-6.3(a)-5.9(l)11.4(t)-227.5(w)-2.9(i)11(t)-7.1(h)-226.1(t)-7.1(he)-225.8(s)-8.3(o)6.4(l)11.4(u)11.2(t)-6.2(i)-0.7(o)10.9(n)-224.9(o)10.9(f)-225.7(D)-227.5(p)-5.8(a)8.6(r)-10.6(t)-6.2(ia)-5.9(l)-225.3(d)0(if-)]TJ
T*
0.0006 Tc
[(f)9.3(e)1(r)13(e)1(n)19.1(t)-5.2(ia)-4.9(l)-179.1(e)-4.4(q)10.2(u)-2.3(a)19.5(t)-5.2(io)11.9(n)8.3(s)-178(wi)12(t)-6.1(h)-179.1(p)-8.4(e)1(r)-6(i)0.3(o)-8.8(d)1(ic)-179.9(co)-8.8(ecien)19.1(ts)-180.8([)]TJ
0 g
18.0296 0 TD
0 Tc
()Tj
0 0 0 1 k
0.3379 0 TD
0.0001 Tc
[(].)-181.1(I)16.8(n)-181.9(s)-7.8(o)6.9(lid)-180.2(s)5.7(t)-6.6(a)19(t)6.1(e)]TJ
-18.3674 -1.141 TD
-0.0004 Tc
[(p)6.9(h)22.3(ysics,)-172.6(B)5.8(l)-0.3(o)-9.8(c)6.1(h)-172.8(g)7.8(enera)-5.9(l)-0.3(ize)-5.4(d)-171.6(Flo)-9.8(q)9.2(uet)26.4()94.3(s)-170.9(r)12(es)5.2(u)-6(l)11.4(ts)-171.8(t)5.6(o)-172.5(D)-172.4(sys)5.2(t)5.6(em)7.4(s)-173.6(a)8.6(nd)]TJ
T*
0.0062 Tc
[(o)11.2(b)17.3(ta)15.2(i)5.9(n)9.4(ed)-176.8(th)9.9(e)-176.8(d)6.6(e)6.6(s)-1.7(c)6.4(r)-0.4(i)17.6(p)17.1(ti)5.9(o)17.5(n)-176.7(o)17.5(f)-177.5(th)9.9(e)-176.8(w)6.4(a)24.2(v)13.9(e)-178.6(f)-0.4(u)6(n)9.4(cti)5.9(o)17.5(n)-174.9(a)8.9(s)11.8(s)-1.7(oc)6.4(ia)25.1(t)12.2(e)1.2(d)-177.7(w)3.7(i)17.6(t)-0.5(h)]TJ
T*
0.0068 Tc
[(a)15.8(n)-215(e)10.8(l)6.9(ectr)19.2(o)18.1(n)-213.2(tr)6.5(a)24.8(v)14.5(e)10.8(l)6.9(i)6.5(n)14.5(g)-212.7(a)6.8(c)7(r)19.2(o)6.4(s)12.4(s)-215.2(a)-214.6(pe)7.2(ri)6.5(od)7.2(i)6.5(c)-214.3(c)7(r)-22.4(y)6.9(s)12.4(tal)-214.5(l)4.1(a)25.7(t)16.4(ti)6.5(c)7(e)-214.1([)]TJ
0 g
21.1372 0 TD
0 Tc
()Tj
0 0 0 1 k
0.4652 0 TD
-0.0005 Tc
[(].)-222.4( is)]TJ
-21.6024 -1.141 TD
-0.0016 Tc
[(wa)16.4(v)6.1(e)-165.6(f)-8.2(u)-1.8(nc)-8.6(t)-7.4(i)-1.9(o)9.7(n)-166.5(is)-165.8(a)-166.1(s)-9.5(o)5.2(l)10.2(u)10(t)-7.4(io)9.7(n)-166.5(o)9.7(f)-166.3(t)-8.3(he)-165.6(S)-15.4(c)4.9(hr)]TJ
14.8307 0.0063 TD
0 Tc
()Tj
-0.0551 -0.0063 TD
0.0002 Tc
[(odin)7.9(g)8.4(e)0.6(r)-164.5(e)-4.8(q)9.8(u)-2.7(a)19.1(t)-5.6(io)11.5(n)-164.7(w)-2.3(i)11.6(t)-6.5(h)-164.1(a)]TJ
-14.7756 -1.141 TD
0.0082 Tc
[(pe)8.6(ri)7.9(od)8.6(i)7.9(c)-143.4(po)18.6(t)14.2(e)8.6(n)26.7(t)2.4(i)5.2(a)2.7(l)-143.5(a)17.2(n)11.4(d)-143.1(B)14.4(l)8.3(oc)14.7(h)-143.5(s)12(h)11.9(o)24(w)16.6(e)3.2(d)-143.1(t)1.5(h)11(a)27.1(t)-143.9(i)19.6(t)-143.9(w)8.4(a)10.9(s)-143.3(th)11.9(e)-143.2(p)20(r)20.6(o)-1.2(d)20.4(u)8(ct)-143.9(o)19.5(f)]TJ
T*
0 Tc
[(a)-151.8(s)0.2(im)18.6(p)7.3(l)0.1(e)-151.4(p)7.3(la)9(ne)-151.4(wa)18(v)7.7(e)-151.4(m)18.6(u)-5.6(l)11.8(t)-5.8(i)11.4(p)7.3(lied)-151.3(b)16.6(y)-151.7(a)-151.8(p)-9(er)-6.6(io)-9.4(dic)-151.6(f)-6.6(unc)-7(t)-5.8(io)11.3(n)-152.2(w)-2.5(i)11.4(t)-6.7(h)-151.7(t)-6.7(he)]TJ
T*
-0.0009 Tc
[(s)-7(a)8.1(me)-223.6(p)-9.9(e)-0.5(r)-7.5(i)-1.2(o)-10.3(d)-0.5(ici)10.5(t)-4(y)-223.1(o)10.4(f)-223.4(t)-7.6(he)-222.7(la)18(t)8.7(t)-6.7(ice)5.8(.)-224.6( e)-222.7(ma)18(t)-7.6(h)2.8(ema)18(t)-6.7(ica)-6.4(l)-221.3(des)-8.8(cr)-7.5(i)10.5(p)10(t)-6.7(i)-1.2(o)10.4(n)]TJ
T*
-0.0006 Tc
[(o)10.7(f)-271.9(t)-7.3(h)3.1(es)-8.5(e)-272.1(i)-0.9(de)-6.5(as,)-272.2(i)-0.9(n)-272.1(t)-7.3(he)-271.2(co)10.7(n)17.9(t)5.4(ext)-272.9(o)10.7(f)-271.9(q)9(u)-3.5(a)8.4(n)17.9(t)9(u)-0.8(m)-271.1(m)2.6(e)-5.6(c)5.9(ha)8.4(nics,)-271.3(ca)8.4(n)-273(b)-9.3(e)]TJ
T*
-0.0096 Tc
[(fou)-9.8(n)-6.4(d)-235(i)-9.9(n)-235.9([)]TJ
0 g
4.002 0 TD
0 Tc
()Tj
0 0 0 1 k
0.4517 0 TD
(,)Tj
0 g
0.4553 0 TD
()Tj
0 0 0 1 k
0.4969 0 TD
0.0001 Tc
(].)Tj
-3.9062 -1.3415 TD
0.0054 Tc
[(I)22.1(n)-217.3(th)9.1(e)-214.6(l)5.5(i)16.8(t)11.4(e)5.8(r)5.1(a)24.3(t)15(u)5.2(r)17.8(e)-213.7(d)5.8(eal)5.5(i)5.1(n)13.1(g)-215(wi)16.8(th)-215.8(w)5.6(a)23.4(v)13.1(e)-215.5(p)17.2(r)17.8(o)15.8(p)0(a)10.8(g)5.4(a)24.3(t)-0.4(i)5.1(o)16.7(n)-212.8(p)17.2(r)17.8(o)10.4(b)12.9(l)5.5(e)5.8(m)13.2(s)]TJ
-1.4996 -1.141 TD
0.0003 Tc
[(in)-320.8(mec)6.8(h)3.1(a)9.3(n)-0.2(ica)-5.2(l)-319.4(sys)5.9(t)6.3(em)8.1(s)-322(t)-6.4(he)-319.1(t)-6.4(h)4(eo)11.6(r)-28.9(y)-319.4(is)-320.2(r)12.7(e)0.7(f)9(e)0.7(r)-6.3(r)12.7(ed)-319.1(t)6.3(o)-320.8(as)-320.2(Flo)-9.1(q)9.9(uet-)]TJ
T*
-0.0007 Tc
[(B)5.5(l)-0.6(o)-10.1(c)5.8(h)-303.2(t)-7.4(he)-5.7(o)10.6(r)-29.9(y)-300.5(o)10.6(r)62.2(,)-302.1(sim)17.9(p)6.6(l)6.6(y)72.6(,)-303(F)-1.1(lo)-10.1(q)8.9(u)-0.9(et)-301.9(t)-7.4(h)3(e)-5.7(o)10.6(r)-29.9(y)72.6(.)-301.2(I)16(n)-303.8(l)-3.4(a)17.3(y)7.5(er)11.7(e)-5.7(d)-302.9(sys)4.9(t)5.3(em)7.1(s,)]TJ
25.8998 19.4018 TD
-0.0025 Tc
[(d)9.7(u)-2.7(e)-256.8(t)3.5(o)-256.8(t)-9.2(he)-255.9(heter)9.9(o)-2.9(genei)8.9(t)-5.6(y)-255.4(o)8.8(f)-256.7(t)-9.2(he)-255.9(r)9.9(e)1.5(le)-10.2(va)6.5(n)16(t)-254.9(el)-5.2(ast)-8.3(i)-2.8(c)-257(p)9.3(r)9.9(o)7.9(p)-11.5(e)-2.1(r)-12.7(t)-8.3(ies,)-255.1(to)]TJ
0 -1.141 TD
-0.0099 Tc
[(p)-15.3(a)-0.9(r)-20.1(t)-15.7(i)-10.2(c)-16.9(u)-15.5(l)-12.6(ar)-322.8(ge)-14.9(om)-6.7(e)-9.5(t)-15.7(r)-16.5(i)-10.2(c)-322.3(f)-1.2(e)-15.8(a)9(tu)-10.1(re)-9.5(s)-9.7(,)-323.9(or)-323.7(t)-3.9(o)-324.7(b)-18.6(o)0.5(t)-16.6(h)-9.8(,)-323.9(o)1.4(n)-15.8(l)-2.6(y)-323.3(c)-9.7(e)-9.5(r)-20.1(t)-16.6(a)-0.9(i)-10.2(n)-324.7(w)-9.7(a)8.1(ve)]TJ
T*
0.0001 Tc
[(mo)-9.3(des)-189.4(ca)9.1(n)-190.1(p)7.4(h)22.8(y)0.2(sica)-5.4(l)-5.3(l)7.4(y)-189.5(p)11.9(r)12.5(o)10.5(p)-5.3(a)5.5(ga)19(t)6.1(e)-188.3(in)7.8(side)-189.2(t)-6.6(h)3.8(e)-188.3(s)5.7(t)-5.7(r)-10.1(uc)-6.9(t)9.7(u)-0.1(r)12.5(e)-187.4([)]TJ
0 g
20.9122 0 TD
0 Tc
()Tj
0 0 0 1 k
0.4544 0 TD
0.0001 Tc
[(].)-189.3(E)-12.8(a)0.1(c)6.6(h)]TJ
-21.3666 -1.141 TD
-0.0003 Tc
[(o)11(f)-229.2(t)-7(h)3.4(es)-8.2(e)-229.3(m)2.9(o)-9.7(des)-229.5(ca)8.7(n)-230.2(b)-9(e)-230.3(i)-0.6(den)18.2(t)-6.1(i)-0.6(e)-5.3(d)-229.3(b)16.3(y)-230.6(a)-229.8(det)5.7(er)-6.9(mine)-5.3(dg)7.9(e)0.1(nera)-5.8(l)-5.7(l)7(y)]TJ
T*
0.0056 Tc
[(n)8.8(o)16.9(nl)5.6(i)5.3(n)8.8(ea)14.6(r)29.7()5.2(fu)5.4(n)8.8(c)-1.4(ti)5.3(o)16.9(n)-488.1(r)18(e)9.6(la)24.5(ti)5.3(n)13.3(g)-493(th)9.3(e)-493.6(t)-0.2(i)5.3(m)8.8(e)-492.7(f)-4.6(r)18(e)0.6(q)15.2(u)5.4(e)6(n)8.8(c)-10.4(y)-492.1(a)14.6(n)8.8(d)-494.4(t)-1.1(h)9.3(e)]TJ
T*
0.0001 Tc
[(s)5.7(p)-5.3(a)19(t)-5.7(ia)-5.4(l)-277.2(f)-10.1(r)12.5(e)-4.9(q)9.7(u)-0.1(enc)-15.9(y)-275.3(\(o)11.4(r)-276.6(w)0.3(a)18.1(v)7.8(e)-277.7(n)18.6(um)9.7(b)-8.6(e)0.5(r\).)-276.9( )3.3(es)-7.8(e)-277.7(r)12.5(ela)19(t)-5.7(io)11.4(n)7.8(s)3.9(hi)11.5(ps)-274.3(a)9.1(r)12.5(e)]TJ
T*
0.0039 Tc
(called)Tj
/F1 1 Tf
2.7111 0 TD
-0.01 Tc
[(di)-13.4(sp)-6.4(e)-10.2(r)-6.3(si)-6.2(on)-381.4(c)-10.1(u)2.6(r)-29.7(v)-6.6(es)]TJ
/F3 1 Tf
7.1331 0 TD
-0.0084 Tc
[(d)-8(e)-8(f)-8.7(a)10.5(u)-14(lt)-376.4(an)-5.2(d,)-377.5(a)-5.7(s)-376.8(t)-15.1(h)-4.7(e)-16.1(y)-376(su)-8.6(m)-8.8(m)-6.1(ar)-15(i)-8.7(z)-8.5(e)-375.7(a)-13.9(l)-13.8(l)]TJ
-9.8442 -1.141 TD
-0.0113 Tc
[(t)-18(h)-7.6(e)-281(o)-11.7(s)-19.2(c)-11.1(i)-17(l)-16.7(l)-14(a)7.6(t)-5.3(o)0(r)-40.5(y)-279.5(b)-20(e)-7.3(h)-8.5(a)6.7(v)-14.4(i)-11.6(or)-280.8(of)-280.8(t)-18(h)-7.6(e)-280.1(s)-11.1(y)-11.2(s)-5.7(t)-5.3(e)-10.9(m)-11.7(,)-282.9(t)-18(h)-7.6(e)-10.9(i)-11.6(r)-280.8(c)-13.8(a)-16.8(l)-11.3(c)-18.3(u)-16.9(l)-14(a)7.6(t)-17.1(i)-11.6(on)-279.2(i)-8.9(s)-281.2(of)]TJ
T*
-0.0005 Tc
[(p)-5.9(a)8.5(ra)8.5(mo)9.9(un)18(t)-224.9(i)-0.8(m)18.1(p)-9.5(o)10.8(r)-10.7(t)-7.2(a)8.5(nce)-225(i)-0.8(n)-226.8(N)-0.1(D)8.2(E)-227.5(a)18.4(p)10.4(p)6.8(l)-0.5(ica)18.4(t)-6.3(io)10.8(n)7.2(s)-226.1([)]TJ
0 g
18.1813 0 TD
0 Tc
()Tj
0 0 0 1 k
0.4951 0 TD
0.0001 Tc
(].)Tj
-17.1759 -1.141 TD
0.0008 Tc
[(V)47.9(i)4.1(b)12.8(r)0.5(a)19.7(t)-5(io)12.1(n)8.5(s)-309.7(o)-8.6(c)1(c)-6.2(u)0.6(r)-312.1(a)-4.7(ls)-7.1(o)-312.2(i)0.5(n)-313.1(o)5.8(b)11.9(j)-4.3(ec)-6.2(ts)-312.4(wi)12.2(t)-5.9(h)-311.7(p)-8.2(e)1.2(r)-5.8(i)0.5(o)-8.6(d)1.2(ic)-312.5(s)6.4(t)-5(r)-9.4(u)0.6(c)-6.2(t)10.4(ur)13.2(e)]TJ
-1.5005 -1.141 TD
0 Tc
([)Tj
0 g
0.3451 0 TD
()Tj
0 0 0 1 k
0.4643 0 TD
-0.0005 Tc
[(].)-289.2( es)-8.4(e)-289.2(p)11.3(r)11.9(ob)7(lem)7.3(s)-288.5(us)5.1(ua)-6(l)-5.9(l)6.8(y)-288.6(a)-0.5(dmi)10.9(t)-289(a)-288.7(s)-8.4(ep)-5.9(a)8.5(r)-0.8(a)18.4(t)-6.3(io)10.8(n)-287.3(b)-9.2(etw)7.9(e)-5.5(en)-290.9(t)-7.2(h)3.2(e)]TJ
-0.8094 -1.141 TD
-0.0006 Tc
[(t)-6.4(i)-0.9(me)-220.6(a)8.4(n)2.6(d)-221.5(t)-7.3(he)-221.5(s)5(p)-6(a)18.3(t)-6.4(ia)-6.1(l)-221(dep)-9.6(enden)17.9(t)-223.2(p)-6(a)8.4(r)-10.8(ts)-220.8(o)10.7(f)-221.3(t)-7.3(h)3.1(e)-221.5(s)-8.5(o)6.2(l)11.2(u)10.9(t)-6.4(io)10.7(n.)-219.8(F)18(o)10.7(r)-220.4(i)-0.9(n)7.1(s)-0.4(-)]TJ
T*
0.0051 Tc
[(ta)14.1(n)8.3(c)5.3(e)11.8(,)-323.4(th)8.8(e)-322.4(H)30.3(e)9.1(l)5.1(mh)8.8(o)11.9(l)16.9(t)4.8(z)-322(eq)14.7(ua)24(ti)4.8(o)16.4(n)-321.5(i)7.5(s)-322.6(a)-323.8(k)1.5(n)8.3(o)20.9(wn)-323.3(e)5.5(x)5.5(a)14.1(m)23.7(p)12.4(l)5.1(e)-324.2(o)16.4(f)-323.1(eq)14.7(u)4.9(-)]TJ
0 -1.1419 TD
-0.0008 Tc
[(a)18.1(t)-6.6(io)10.5(n)-267.7(des)-8.7(cr)-7.4(ib)11.2(in)6.9(g)-268.2(t)-7.5(he)-267.8(s)4.8(p)-6.2(a)18.1(t)-6.6(ia)-6.3(l)-267.2(b)-9.5(eha)17.2(v)-3.9(io)10.5(r)-268.5([)]TJ
0 g
15.2399 0 TD
0 Tc
()Tj
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