Basics of OPTICS OF MULTILAYER SYSTEMS A(AyLxB47*
$eQ_!7Gom$
Contents rC] jz$sle
Preface……………………………………………………………………….………..……….4 Cnf;5/
Chapter 1 bu"Jb4_a>
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 2 c fzLW(
THEORY……………………………………………………………………………………….5 }i_[wq{E&
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 SxXh
N
1.1.1 Layered medium electromagnetic field equations………………………………...5 ixN>KwH
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Q6?+# }
1.1.3 The Fresnel formulas ……………………………………………………………18 Avw"[~Xd
1.1.4 Other ways of determining amplitude transmittance and reflectance of the u&l2s&i
layered medium…………………………………………………………………..19 j}8IT
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 :K{`0U&l5
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 DoWY*2E
1.2.1 Matrix calculating method ………………………………………………………22 %z!
w- u+
1.2.2 Description of optical coating and presentation of calculation results…………..28 9Vk61x 6
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 @Zd+ XWFw
1.2.4 Approximate formulas…………………………………………………………...33 [ANit0-~
1.2.5 Other recurrent methods…………………………………………………………34 YlOYgr^
1.2.6 The admittance phase plane……………………………………………………...38 {B|U 8j[
1.3 Some common properties of multilayer coatings…………………………………….46 "d'xT/l
"
1.3.1 The relation between the characteristic matrix and spectral coefficients of a aA%$<ItH
multilayer coating ……………………………………………………………….47 9\TvX!)h
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 4s* P5w_'/
1.3.3 Transmittance and reflectance of the combination of two multilayer Y">tfLIL_
subsystems ……………………………………………………………………....54 18w[T=7)
1.4 The multilayer coatings optical properties: impact of variations in the layer pPCxa#OV
parameters……………………………………………………………………………...58 E=g D{1,?
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… S6 }_Z
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral sAk~`(:4!
coefficients: probability assessment method ……………………….…………...63 s9'g'O5
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter fT._Os?i
variations ………………………………………………………………………...66 EH3jzE3N
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 (d993~|h
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 x[nv+n ,
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ` 2|~Z
H
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 6 6x} |7
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the uW;Uq=UN
central wavelength ………………………………………………………………80 En6fmEn&;o
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 O|,+@qtH
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 |NtT-T)7
1.6.1 Common expressions for spectral coefficients of filter-type systems near central i#lvt#2J0
wavelength ………………………………………………………………………88 PGT!HdX#{
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 S rK;b .
Chapter 2 L3q)j\ ls
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 e^~t52]
2.1 Synthesis methods based on merit function optimization …………………………...98 9 )B >|#\
2.1.1 Merit function selection …………………………………………………………98 (# c5Q&
2.1.2 Merit function optimization ……………………………………………………101 0x# 6L
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ] >ipC,v
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 &:]_a?|*S
2.2.1 Needle-like variations of the refractive index ………………………………….115 oZ6xHdPc4
2.2.2 The principal idea of the method ………………………………………………119 pR c(>P3;
2.2.3 Description of the method ……………………………………………………...124 Fh v)
Bibliography …...………………………………………….……………….………..……130
