Basics of OPTICS OF MULTILAYER SYSTEMS %XTI-B/K
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Contents c[e}w+ uB
Preface……………………………………………………………………….………..……….4 ']oQ]Yx0
Chapter 1 |cY`x(?yP
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: NEF#
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THEORY……………………………………………………………………………………….5 %>s |j'{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 t g/H2p^Y
1.1.1 Layered medium electromagnetic field equations………………………………...5 ?fS9J
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .p$(ZH =~
1.1.3 The Fresnel formulas ……………………………………………………………18 mV m Gg,
1.1.4 Other ways of determining amplitude transmittance and reflectance of the I?N yM
layered medium…………………………………………………………………..19 (i GTACoF
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 $ulOp;~A%
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 y?!"6t7&
1.2.1 Matrix calculating method ………………………………………………………22 \[nut;
1.2.2 Description of optical coating and presentation of calculation results…………..28 hzC >~Ub5
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 G / 5%.Bf@
1.2.4 Approximate formulas…………………………………………………………...33 YoE3<[KD(
1.2.5 Other recurrent methods…………………………………………………………34 -.3w^D"l
1.2.6 The admittance phase plane……………………………………………………...38 CH/rp4NeSy
1.3 Some common properties of multilayer coatings…………………………………….46 rQ9'bCSr%
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 6zn5UW#q
multilayer coating ……………………………………………………………….47 F&Hrk|a
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 tI{_y
1.3.3 Transmittance and reflectance of the combination of two multilayer jq-_4}w?C
subsystems ……………………………………………………………………....54 3N:D6w-R
1.4 The multilayer coatings optical properties: impact of variations in the layer iR0y"Cii
parameters……………………………………………………………………………...58 Qei" '~1a
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !VK|u8i
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral cGD(.=
coefficients: probability assessment method ……………………….…………...63 UZ$/Ni
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter P
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variations ………………………………………………………………………...66 S@sO;-^+
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 07 $o;W @
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 { y;n:^
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 QdC<Sk!G
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %07SFu#
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the M@ZI\
central wavelength ………………………………………………………………80 KGpA2Nx
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 =rK+eG#,
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 v.ui!|c
1.6.1 Common expressions for spectral coefficients of filter-type systems near central IIqUZJ
wavelength ………………………………………………………………………88 abEmRJTmW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 1i ] ^{;]
Chapter 2 o?
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 K4);HJ|=
2.1 Synthesis methods based on merit function optimization …………………………...98 UY 2O Z& &
2.1.1 Merit function selection …………………………………………………………98 7[wieYj{
2.1.2 Merit function optimization ……………………………………………………101 ctJE+1#PH
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3yX Y.>'
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ---N 9I
2.2.1 Needle-like variations of the refractive index ………………………………….115 VD\=`r)nT
2.2.2 The principal idea of the method ………………………………………………119 [c06 N$:
2.2.3 Description of the method ……………………………………………………...124 4'Zp-k?5`
Bibliography …...………………………………………….……………….………..……130
