Basics of OPTICS OF MULTILAYER SYSTEMS R.=}@oPb
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Contents >pUtwIP
Preface……………………………………………………………………….………..……….4 p<=$&*
Chapter 1 V#VN %{
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Q.K,%(^;a
THEORY……………………………………………………………………………………….5 =zQN[
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ;M"9$M'
1.1.1 Layered medium electromagnetic field equations………………………………...5 y;/VB,4V
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 YPHS 1E?
1.1.3 The Fresnel formulas ……………………………………………………………18 H":oNpfb
1.1.4 Other ways of determining amplitude transmittance and reflectance of the (#+^ & 1
layered medium…………………………………………………………………..19 boDt`2=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 8M!:N(a
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Sa2>`":d
1.2.1 Matrix calculating method ………………………………………………………22 vWAL^?HUP
1.2.2 Description of optical coating and presentation of calculation results…………..28 [eTSZjIN7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 <&C]s b
1.2.4 Approximate formulas…………………………………………………………...33 N-lkYL-%\j
1.2.5 Other recurrent methods…………………………………………………………34 ZP{*.]Qu
1.2.6 The admittance phase plane……………………………………………………...38 /?SLdW
1.3 Some common properties of multilayer coatings…………………………………….46 H;RwO@v
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $ X q!L
multilayer coating ……………………………………………………………….47 wI(M^8F_Mf
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ):iA\A5q[
1.3.3 Transmittance and reflectance of the combination of two multilayer / m=HG^!
subsystems ……………………………………………………………………....54 6j
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1.4 The multilayer coatings optical properties: impact of variations in the layer UX7t`l2R
parameters……………………………………………………………………………...58 c/sC&i;%O
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !qG7V:6
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral G^ :C+/)
coefficients: probability assessment method ……………………….…………...63 K6R.@BMN
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter vN;mP d~g
variations ………………………………………………………………………...66 =>-Rnc@
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 F6z% VWU
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 #\=F O>
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 nr<4M0tIp
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 M3.do^ss
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the u?C#4
central wavelength ………………………………………………………………80 E>K!Vrh-L
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 4 r45i:
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 q<M2,YrbAI
1.6.1 Common expressions for spectral coefficients of filter-type systems near central AIZ]jq
wavelength ………………………………………………………………………88 79;<_(Y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $&=S#_HQS
Chapter 2 5 aCgjA11
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ez| ) ph7
2.1 Synthesis methods based on merit function optimization …………………………...98 vX.VfY
2.1.1 Merit function selection …………………………………………………………98
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2.1.2 Merit function optimization ……………………………………………………101 }~L.qG
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 x7Yu I
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ,y#Kv|R
2.2.1 Needle-like variations of the refractive index ………………………………….115 > ;*b|Ik
2.2.2 The principal idea of the method ………………………………………………119 HAa; hb
2.2.3 Description of the method ……………………………………………………...124 c24dSNJg,
Bibliography …...………………………………………….……………….………..……130
