Basics of OPTICS OF MULTILAYER SYSTEMS /P/0\3TCi
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Contents 9c0
Preface……………………………………………………………………….………..……….4 n-dC !t
Chapter 1 \,!Qo*vj
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: o?#-Tkb
THEORY……………………………………………………………………………………….5 aHitP Plq
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 i"4;{C{s
1.1.1 Layered medium electromagnetic field equations………………………………...5 jG#e% `'
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~eiD(04^r*
1.1.3 The Fresnel formulas ……………………………………………………………18 7o7FW=^
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Y%(8'Ch
layered medium…………………………………………………………………..19 q R%as0;
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7Fzr\&
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 mMCd
1.2.1 Matrix calculating method ………………………………………………………22 {t]8#[lo
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?+{_x^
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 dtV7 YPz4+
1.2.4 Approximate formulas…………………………………………………………...33 _ vAc/_ N
1.2.5 Other recurrent methods…………………………………………………………34 (H]NL
1.2.6 The admittance phase plane……………………………………………………...38 .`&k `
1.3 Some common properties of multilayer coatings…………………………………….46 T*(mi{[T
1.3.1 The relation between the characteristic matrix and spectral coefficients of a diKl}V#u
multilayer coating ……………………………………………………………….47 /f=31<+MtF
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 . lSoC `HE
1.3.3 Transmittance and reflectance of the combination of two multilayer nH+w U;M
subsystems ……………………………………………………………………....54 I &%
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1.4 The multilayer coatings optical properties: impact of variations in the layer g-/ }*m l
parameters……………………………………………………………………………...58 _.m|Ml,`{
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… @)ls+}=Y
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral $L'[ _J
coefficients: probability assessment method ……………………….…………...63 2f rwU~y
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !_iv~Q zv
variations ………………………………………………………………………...66 Jgq#m~M6
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ~svea>Fmr
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )]zsA w`/
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 owA .P-4
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Dh68=F0
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the gL7rX a j
central wavelength ………………………………………………………………80 q{L-(!uz7_
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 gA] 3h8 %w
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ? lU (FK
1.6.1 Common expressions for spectral coefficients of filter-type systems near central B @8lD\
wavelength ………………………………………………………………………88 ~bw=;xF{3
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 /.t 1Ow
Chapter 2 { =MRJg!U
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 \[A JWyP
2.1 Synthesis methods based on merit function optimization …………………………...98 7GJcg7s*T
2.1.1 Merit function selection …………………………………………………………98 4(`U]dNcs
2.1.2 Merit function optimization ……………………………………………………101 jq_ i&~S
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2r@ 9|}La
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 M'pIAm1p
2.2.1 Needle-like variations of the refractive index ………………………………….115 P<LmCY m
2.2.2 The principal idea of the method ………………………………………………119 qsYg %Z
2.2.3 Description of the method ……………………………………………………...124 ofs'xs1C
Bibliography …...………………………………………….……………….………..……130
