Basics of OPTICS OF MULTILAYER SYSTEMS ##ea-"m8
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Contents m:<3d]L
Preface……………………………………………………………………….………..……….4 69[k
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Chapter 1 )L("t
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Z"K uS
THEORY……………………………………………………………………………………….5 5Cka."bQ
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /s_$CSiB
1.1.1 Layered medium electromagnetic field equations………………………………...5 ~?+m=\
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #e|kA&+8M
1.1.3 The Fresnel formulas ……………………………………………………………18 BV:,b S
1.1.4 Other ways of determining amplitude transmittance and reflectance of the C rQ& -!Eh
layered medium…………………………………………………………………..19 +~]g&Mf6o
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ")buDU6_
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 n=MYv(Pp}
1.2.1 Matrix calculating method ………………………………………………………22 5E(P,!-.
1.2.2 Description of optical coating and presentation of calculation results…………..28 Gnq~1p5^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ?q&mI* j!
1.2.4 Approximate formulas…………………………………………………………...33 /Loe y
1.2.5 Other recurrent methods…………………………………………………………34 . M $D
1.2.6 The admittance phase plane……………………………………………………...38 \{mJO>x
1.3 Some common properties of multilayer coatings…………………………………….46 EmoU7 iy
1.3.1 The relation between the characteristic matrix and spectral coefficients of a d0,F'?.0|
multilayer coating ……………………………………………………………….47 dPX>A4wp
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 0R%58, R
1.3.3 Transmittance and reflectance of the combination of two multilayer ,gD i)]
subsystems ……………………………………………………………………....54 8{ e 3
1.4 The multilayer coatings optical properties: impact of variations in the layer {<8#T`I
parameters……………………………………………………………………………...58 bJ}+<##
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… E:OeU_\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral !A0bb J
coefficients: probability assessment method ……………………….…………...63 Ww4G
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter @SB+u+ mOS
variations ………………………………………………………………………...66 DZZt%n8J
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 )j*qGsOg
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ,Ou)F;r
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 cv1L!Ce,
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 je% 12DM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 1nm W L0
central wavelength ………………………………………………………………80 ,"ZlY}!Gn
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 (k45k/PAP
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 /HD2F_XA
1.6.1 Common expressions for spectral coefficients of filter-type systems near central i i
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wavelength ………………………………………………………………………88 SQx):L)P6
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 2G;d2LR :
Chapter 2 w5\)di
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 np(<Ap r
2.1 Synthesis methods based on merit function optimization …………………………...98 )YnN9 "8
2.1.1 Merit function selection …………………………………………………………98 A G2jl/
2.1.2 Merit function optimization ……………………………………………………101 cxdM!L; `
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 1jVcL)szU
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 .m51/X&*n
2.2.1 Needle-like variations of the refractive index ………………………………….115 H0 t1& :
2.2.2 The principal idea of the method ………………………………………………119 u> Hx#R<*%
2.2.3 Description of the method ……………………………………………………...124 @su,w,xLS
Bibliography …...………………………………………….……………….………..……130
