Basics of OPTICS OF MULTILAYER SYSTEMS +Y}V3(w9X
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Contents *wuqa) q2
Preface……………………………………………………………………….………..……….4 F>zl9Vi<
Chapter 1 Z:*@5
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: {`(>O"_[Q
THEORY……………………………………………………………………………………….5 'fx UV<K&
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 !d,8kG
1.1.1 Layered medium electromagnetic field equations………………………………...5 > @_im6
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .f:n\eT):
1.1.3 The Fresnel formulas ……………………………………………………………18 <F;v`h|+S
1.1.4 Other ways of determining amplitude transmittance and reflectance of the uI~s8{0T6
layered medium…………………………………………………………………..19 7ER|' j
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ?^i1_v7 Bi
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 -`+<{NHv\
1.2.1 Matrix calculating method ………………………………………………………22 k1^\|
1.2.2 Description of optical coating and presentation of calculation results…………..28 DZ$`
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 P?LlJ 5hn
1.2.4 Approximate formulas…………………………………………………………...33 j'?7D0>
1.2.5 Other recurrent methods…………………………………………………………34 mj&57D\fq
1.2.6 The admittance phase plane……………………………………………………...38 Bj Wr5SJ
1.3 Some common properties of multilayer coatings…………………………………….46 ?m7:if+ y
1.3.1 The relation between the characteristic matrix and spectral coefficients of a p8}(kHUp(
multilayer coating ……………………………………………………………….47 slu(SmQ
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 O s&n
1.3.3 Transmittance and reflectance of the combination of two multilayer )@gZ; `n
subsystems ……………………………………………………………………....54 | &3x#1A
1.4 The multilayer coatings optical properties: impact of variations in the layer c$:1:B9 \
parameters……………………………………………………………………………...58 < IJu7t>
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… uR;gVO+QC
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral UlcH%pxTt1
coefficients: probability assessment method ……………………….…………...63 fB1TFtAh
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter /PzcvN
variations ………………………………………………………………………...66 izg p*M,
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ? S
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 o:S0*
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 D&G"BZx|
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 P 1XK*GZ
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the G{Yz8]m
central wavelength ………………………………………………………………80 lg :
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 5cJ !"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 kDvc"
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central /./"x~@
wavelength ………………………………………………………………………88 uo\ .7[1
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ~y HU^5D
Chapter 2 =U8Ek;Drp
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 tVuWVJ4M
2.1 Synthesis methods based on merit function optimization …………………………...98 +Hvc_Av''
2.1.1 Merit function selection …………………………………………………………98 )s_n
2.1.2 Merit function optimization ……………………………………………………101 ,`D ~py,
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 fKH7xu!V4+
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1MlU G5
2.2.1 Needle-like variations of the refractive index ………………………………….115 ! Ucjax~
2.2.2 The principal idea of the method ………………………………………………119 54lu2gD'
2.2.3 Description of the method ……………………………………………………...124 U>Ld~ cw
Bibliography …...………………………………………….……………….………..……130
