Basics of OPTICS OF MULTILAYER SYSTEMS fFJ7Y+^
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Contents mERk C,$
Preface……………………………………………………………………….………..……….4 b|i4me @
Chapter 1 zyPb\/
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9PB%v.t5 y
THEORY……………………………………………………………………………………….5 m` 1dB%;?
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 j4XVk@'OX
1.1.1 Layered medium electromagnetic field equations………………………………...5 K|%Am4
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 5{=+S]
1.1.3 The Fresnel formulas ……………………………………………………………18 :<g0Ho?e
1.1.4 Other ways of determining amplitude transmittance and reflectance of the RP~nLh3=\
layered medium…………………………………………………………………..19 6wp 1 jN
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 B-
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 c7CYulm
1.2.1 Matrix calculating method ………………………………………………………22 OY1b FIE
1.2.2 Description of optical coating and presentation of calculation results…………..28 T@1;Nbz]
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 |k}<Zz1UM
1.2.4 Approximate formulas…………………………………………………………...33 {V7mpVTX.
1.2.5 Other recurrent methods…………………………………………………………34 qJG;`Ugl:
1.2.6 The admittance phase plane……………………………………………………...38 c/ Pql!h+
1.3 Some common properties of multilayer coatings…………………………………….46 `:&RB4Z
1.3.1 The relation between the characteristic matrix and spectral coefficients of a U$2Em0HO}
multilayer coating ……………………………………………………………….47 5( <O?#P
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ?NA $<0
1.3.3 Transmittance and reflectance of the combination of two multilayer C@a I*+@-"
subsystems ……………………………………………………………………....54 > TYDkEs0
1.4 The multilayer coatings optical properties: impact of variations in the layer (BY 0b%^
parameters……………………………………………………………………………...58 GvtK=A$b
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ;!f='QuA
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ,$`} Rf<
coefficients: probability assessment method ……………………….…………...63 ^_#wo"
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter b36{vcs ~
variations ………………………………………………………………………...66 Bw;isMx7
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 >_j(uw?u
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 k<*v6
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 p@pb[Bx~[
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 }[leUYi`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the / /NV_^$y
central wavelength ………………………………………………………………80 h1S) B|~8
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 R xdj}xy
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 )2c]Z|
1.6.1 Common expressions for spectral coefficients of filter-type systems near central P4B|l:
wavelength ………………………………………………………………………88
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 +E.
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Chapter 2 @vq)Y2)r\
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 r(S h
2.1 Synthesis methods based on merit function optimization …………………………...98 PxYK)n9&
2.1.1 Merit function selection …………………………………………………………98 xY?p(>(
2.1.2 Merit function optimization ……………………………………………………101 g7323m1=
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 (A=PDjP!
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 !,ODczWvh
2.2.1 Needle-like variations of the refractive index ………………………………….115 TDw~sxtv&
2.2.2 The principal idea of the method ………………………………………………119 >V8!OaY5n
2.2.3 Description of the method ……………………………………………………...124 A$p& <#
Bibliography …...………………………………………….……………….………..……130
