| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS aL&egM*
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Contents hwe6@T.#
Preface……………………………………………………………………….………..……….4 ._]Pz 6
Chapter 1 \Q}Y "oq
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 'JdK0w#
THEORY……………………………………………………………………………………….5 K7JZUS`C!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Za Y|v-
1.1.1 Layered medium electromagnetic field equations………………………………...5 R |)l ^~x
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 p>?(u GV
1.1.3 The Fresnel formulas ……………………………………………………………18 ydO G8EI
1.1.4 Other ways of determining amplitude transmittance and reflectance of the )_j(NX-C:
layered medium…………………………………………………………………..19 `. ~S/$a.&
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 s 92ol0`
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 3p HI+a
1.2.1 Matrix calculating method ………………………………………………………22 1@'I eywg
1.2.2 Description of optical coating and presentation of calculation results…………..28 ~Y~M}4
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y{ dX[^[
1.2.4 Approximate formulas…………………………………………………………...33 hTEb?1CXU
1.2.5 Other recurrent methods…………………………………………………………34 &Lzd*}7
1.2.6 The admittance phase plane……………………………………………………...38 "eTALRL'o
1.3 Some common properties of multilayer coatings…………………………………….46 %4M,f.[e
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;?iu@h
multilayer coating ……………………………………………………………….47 } L|B@fW
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 9\Ff z&
1.3.3 Transmittance and reflectance of the combination of two multilayer T<Y*();Zo
subsystems ……………………………………………………………………....54 W-r^ME
1.4 The multilayer coatings optical properties: impact of variations in the layer 5-fASN.Lx
parameters……………………………………………………………………………...58 5o4KV?"
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… IOxtuR
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 29 G el
coefficients: probability assessment method ……………………….…………...63 `q^qe> '
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter g.62XZF@
variations ………………………………………………………………………...66 58HAl_8W
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 K fVsnL_
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 hfb u+w):
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 D{7^y>8_Y-
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 {y5 L
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !9r%d8!z
central wavelength ………………………………………………………………80 "R)n1,0
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y?r`[{L(lA
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 xuqG)HthRS
1.6.1 Common expressions for spectral coefficients of filter-type systems near central KCZ<#ca^
wavelength ………………………………………………………………………88 MK
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 b[:m[^
Chapter 2 dJrUcZBr
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 rZB='(?
2.1 Synthesis methods based on merit function optimization …………………………...98 r~Q E}00@^
2.1.1 Merit function selection …………………………………………………………98 ^%Y-~yB-
2.1.2 Merit function optimization ……………………………………………………101 i E;F= Rb
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 862rol
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 4|cRYZj5
2.2.1 Needle-like variations of the refractive index ………………………………….115 ` wj'
2.2.2 The principal idea of the method ………………………………………………119 AH'3
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2.2.3 Description of the method ……………………………………………………...124 TT3G GHR
Bibliography …...………………………………………….……………….………..……130
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