Basics of OPTICS OF MULTILAYER SYSTEMS DPmY_[OAE
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Contents :C0)[L
Preface……………………………………………………………………….………..……….4 ^AXH}g
Chapter 1 D)S_ p&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: :w4N*lV-
THEORY……………………………………………………………………………………….5 J^ PFhu
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 pQ4HX)<P
1.1.1 Layered medium electromagnetic field equations………………………………...5 adgd7JjI*
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *UG?I|l|I
1.1.3 The Fresnel formulas ……………………………………………………………18 e~R_ bBQ0
1.1.4 Other ways of determining amplitude transmittance and reflectance of the j|p=JrCJ
layered medium…………………………………………………………………..19 ?hURNlR_Q
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ``{GU }n
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ,&* BhUC
1.2.1 Matrix calculating method ………………………………………………………22 "kI lxf3
1.2.2 Description of optical coating and presentation of calculation results…………..28 :ee vc7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 q$ j
1.2.4 Approximate formulas…………………………………………………………...33 Tn\{*A
1.2.5 Other recurrent methods…………………………………………………………34 Z;0<k;#T(p
1.2.6 The admittance phase plane……………………………………………………...38 sP=^5K` g
1.3 Some common properties of multilayer coatings…………………………………….46 V<PH5'^$j
1.3.1 The relation between the characteristic matrix and spectral coefficients of a )?LZg<<
multilayer coating ……………………………………………………………….47 i;IhsKO0R
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Df(+@L5!
1.3.3 Transmittance and reflectance of the combination of two multilayer jj ' epbA
subsystems ……………………………………………………………………....54 Rz*GRe
1.4 The multilayer coatings optical properties: impact of variations in the layer Z,~@_;F
parameters……………………………………………………………………………...58 CqU ^bVs
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… {QOy'
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral P /q]
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coefficients: probability assessment method ……………………….…………...63 fZnq5rTk"
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter #60gjHYaV
variations ………………………………………………………………………...66 &W `7 b<
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 A.$P1zwC
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 0]nveC$
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .O&YdUo
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 'coY`B; 8
central wavelength ………………………………………………………………80 Y^ 8'P /A
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "Rtt~["%
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 :j/sTO=
1.6.1 Common expressions for spectral coefficients of filter-type systems near central jL'R4z
wavelength ………………………………………………………………………88 ;U y}(
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 'S&Zq:
Chapter 2 :6o|6MC!
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 z;N`jqo
2.1 Synthesis methods based on merit function optimization …………………………...98 8 ~Pdr]5
2.1.1 Merit function selection …………………………………………………………98 6C
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2.1.2 Merit function optimization ……………………………………………………101 wuSotbc/
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 h 1f 05
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 {yd(n_PqY
2.2.1 Needle-like variations of the refractive index ………………………………….115 q [+KQ,
2.2.2 The principal idea of the method ………………………………………………119 :1]J{, VG
2.2.3 Description of the method ……………………………………………………...124 _U^G*EqL*
Bibliography …...………………………………………….……………….………..……130
