Basics of OPTICS OF MULTILAYER SYSTEMS $oua]8!
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Contents FUcs=7c
Preface……………………………………………………………………….………..……….4 Jc% >=`f
Chapter 1 @g= A\2
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: }5] s+m
THEORY……………………………………………………………………………………….5 Y+=@5+G
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 r 2H'r
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1.1.1 Layered medium electromagnetic field equations………………………………...5 tt[_+e\4
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 x.r`(
1.1.3 The Fresnel formulas ……………………………………………………………18 4r zioIk
1.1.4 Other ways of determining amplitude transmittance and reflectance of the s{:
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layered medium…………………………………………………………………..19 R\Q %_~1
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 sw@2
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r?+u}uH
1.2.1 Matrix calculating method ………………………………………………………22 8\V-aow
1.2.2 Description of optical coating and presentation of calculation results…………..28 2E1TJ.[BS
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 n[WeN NU
1.2.4 Approximate formulas…………………………………………………………...33 {Jy %h8n*
1.2.5 Other recurrent methods…………………………………………………………34 4*,q 1yK
1.2.6 The admittance phase plane……………………………………………………...38 x> q3w# B
1.3 Some common properties of multilayer coatings…………………………………….46 p.\KmEx
1.3.1 The relation between the characteristic matrix and spectral coefficients of a N^ET
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multilayer coating ……………………………………………………………….47 7S7!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 & T|-K\*
1.3.3 Transmittance and reflectance of the combination of two multilayer uHIWbF<0oo
subsystems ……………………………………………………………………....54 -$kJERv y
1.4 The multilayer coatings optical properties: impact of variations in the layer =!c+|X`
parameters……………………………………………………………………………...58 0* "j:V
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 0l6djN
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral cU6#^PFu
coefficients: probability assessment method ……………………….…………...63 [uY 2 N h
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter D vKM>P%|
variations ………………………………………………………………………...66 *Fc&DQT(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 k:qou})#4
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 g|HrhUT;
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 w +Z};C
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 UKBMGzu2:
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the W uQYEbap
central wavelength ………………………………………………………………80 lG+ltCc$9
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 5q#|sVT7R
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 3 d<HIG^W}
1.6.1 Common expressions for spectral coefficients of filter-type systems near central `;qZ$HH
wavelength ………………………………………………………………………88 D6 oby*_w
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 I7_D $a=
Chapter 2 Mfr#IzNHN
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 //,'oh~W
2.1 Synthesis methods based on merit function optimization …………………………...98 MB 5[Js|
2.1.1 Merit function selection …………………………………………………………98 _Xv/S_yW
2.1.2 Merit function optimization ……………………………………………………101 zLqp@\sT
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 79x9<,a)
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 t5APD?5 c
2.2.1 Needle-like variations of the refractive index ………………………………….115 11T\2&Q
2.2.2 The principal idea of the method ………………………………………………119 @(?4g -* E
2.2.3 Description of the method ……………………………………………………...124 pdHb
Bibliography …...………………………………………….……………….………..……130
