| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS rBa <s
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Contents I
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Preface……………………………………………………………………….………..……….4 iJIPH>UMX
Chapter 1 P\KP )bkC
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: , fFB.q"
THEORY……………………………………………………………………………………….5 /vS!9f${
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 o{pQDI {R
1.1.1 Layered medium electromagnetic field equations………………………………...5 /
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 S9J<3
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1.1.3 The Fresnel formulas ……………………………………………………………18 db`xlvrCY
1.1.4 Other ways of determining amplitude transmittance and reflectance of the aAiSP+#
layered medium…………………………………………………………………..19 1s8 v E
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 H`C DfTy
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 G$ XvxJ
1.2.1 Matrix calculating method ………………………………………………………22 SLpB$puS
1.2.2 Description of optical coating and presentation of calculation results…………..28 ;X-~C.7k
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 1O*5>dkX;%
1.2.4 Approximate formulas…………………………………………………………...33 HGfV2FtT z
1.2.5 Other recurrent methods…………………………………………………………34 {ER!
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1.2.6 The admittance phase plane……………………………………………………...38 .x5Y fe
1.3 Some common properties of multilayer coatings…………………………………….46 z]^&^VFu
1.3.1 The relation between the characteristic matrix and spectral coefficients of a /c' 3I
multilayer coating ……………………………………………………………….47 F2]v]]F!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 =:n>yZ3T
1.3.3 Transmittance and reflectance of the combination of two multilayer /9 NQ u
subsystems ……………………………………………………………………....54 @'j=oTT
1.4 The multilayer coatings optical properties: impact of variations in the layer D Z5%-
parameters……………………………………………………………………………...58 3Ba>a(E
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… kL QPa[u4
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral >J^bs &j
coefficients: probability assessment method ……………………….…………...63 `}#(Ze*V:
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter v Ic 0V
variations ………………………………………………………………………...66 asb-syqU
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ne] |\]
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 _}R?&yO
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 #y%b x<A
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 EQ'iyXhEe
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the }tv%
central wavelength ………………………………………………………………80 :zdMV6s
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 vJVL%,7
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 B M!\U 6
1.6.1 Common expressions for spectral coefficients of filter-type systems near central " - S2${
wavelength ………………………………………………………………………88 8-5MGh0L
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 y`wTw/5N
Chapter 2 )kR~|Yn<-
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 {%5k1,/(
2.1 Synthesis methods based on merit function optimization …………………………...98 $7eO33Bm
2.1.1 Merit function selection …………………………………………………………98 eB X#^
2.1.2 Merit function optimization ……………………………………………………101 BlUl5mP}>
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 p s=jGh[
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Og[NRd+
2.2.1 Needle-like variations of the refractive index ………………………………….115 { 2G 9>'
2.2.2 The principal idea of the method ………………………………………………119 ['o l]ZJ
2.2.3 Description of the method ……………………………………………………...124 B?9K! c
Bibliography …...………………………………………….……………….………..……130
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