Basics of OPTICS OF MULTILAYER SYSTEMS {9 Db9K^
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Contents 4 * H(sq
Preface……………………………………………………………………….………..……….4 ,5=kDw2
Chapter 1 R~!\ -6%_
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: C )U # T)
THEORY……………………………………………………………………………………….5 V*>73I
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 {cl C n
1.1.1 Layered medium electromagnetic field equations………………………………...5 yr%yy+(.k
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 qT"drgpi3
1.1.3 The Fresnel formulas ……………………………………………………………18 p8$\uo 9YQ
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 8F\~Wz 7K
layered medium…………………………………………………………………..19 y~x#pC*w
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 BB0g}6M
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 fJvr+4i4k
1.2.1 Matrix calculating method ………………………………………………………22 J-b~4
1.2.2 Description of optical coating and presentation of calculation results…………..28 Kq8 (d`g}
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 >eEnQ}Y
1.2.4 Approximate formulas…………………………………………………………...33
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1.2.5 Other recurrent methods…………………………………………………………34 KUlB2Fqi
1.2.6 The admittance phase plane……………………………………………………...38 G2=F8kL
1.3 Some common properties of multilayer coatings…………………………………….46 5 d> nIKW
1.3.1 The relation between the characteristic matrix and spectral coefficients of a g%+ql[(4
multilayer coating ……………………………………………………………….47 @>+^W&
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 %N7gT*B:
1.3.3 Transmittance and reflectance of the combination of two multilayer i0VhG :O;
subsystems ……………………………………………………………………....54 sE^ns\&QP=
1.4 The multilayer coatings optical properties: impact of variations in the layer gHp'3SnS
parameters……………………………………………………………………………...58 /L)?> tg
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… B,r5kQI4
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral CQj/e+eE4
coefficients: probability assessment method ……………………….…………...63 p
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter &qNP?>C!=
variations ………………………………………………………………………...66 =VCi8jDkP
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 CM`x>J
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >F,$;y52
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 +[>y O _}
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Q -M
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the &
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central wavelength ………………………………………………………………80 @gs26jX~2}
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 N-]\oMc2
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 O\LjtMF
1.6.1 Common expressions for spectral coefficients of filter-type systems near central |* lH9lWJ
wavelength ………………………………………………………………………88 [[#xES21F
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 U p_>y>x
Chapter 2 N5[_a/
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 5Xp$ yX =
2.1 Synthesis methods based on merit function optimization …………………………...98
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2.1.1 Merit function selection …………………………………………………………98 ac2}3 $u
2.1.2 Merit function optimization ……………………………………………………101 '~ jy
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ]R97 n|s_
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 pI'8>_o
2.2.1 Needle-like variations of the refractive index ………………………………….115 #k"1wSx16
2.2.2 The principal idea of the method ………………………………………………119 _Jf J%YXy
2.2.3 Description of the method ……………………………………………………...124 71K\.[ =-
Bibliography …...………………………………………….……………….………..……130
