Basics of OPTICS OF MULTILAYER SYSTEMS N^H~VG&D(
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Preface……………………………………………………………………….………..……….4 30 bScW<08
Chapter 1 F<VoPqHq
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: =y.? =`"
THEORY……………………………………………………………………………………….5 hKj"Lb9 ]
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 & N.D!7X
1.1.1 Layered medium electromagnetic field equations………………………………...5 PQDW Y
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 0
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1.1.3 The Fresnel formulas ……………………………………………………………18 LNOm"D ?"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the $n.oY5=\
layered medium…………………………………………………………………..19 |]y]K%
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gZ8n[zxf6
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 )OpB\k
1.2.1 Matrix calculating method ………………………………………………………22 $9)| cO
1.2.2 Description of optical coating and presentation of calculation results…………..28 \4zb9CxOZ
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 &==X.2XW
1.2.4 Approximate formulas…………………………………………………………...33 }&M$
1.2.5 Other recurrent methods…………………………………………………………34 (
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1.2.6 The admittance phase plane……………………………………………………...38 F l@ % ?
1.3 Some common properties of multilayer coatings…………………………………….46 w ,f1F;!q1
1.3.1 The relation between the characteristic matrix and spectral coefficients of a JI##l:,7r
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 .93B@u
1.3.3 Transmittance and reflectance of the combination of two multilayer J=Q?_$ xb}
subsystems ……………………………………………………………………....54 wC{?@ h
1.4 The multilayer coatings optical properties: impact of variations in the layer (r78 AZ
parameters……………………………………………………………………………...58 I *hCIy#;
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^U OVXRn
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral K)"lq5nM
coefficients: probability assessment method ……………………….…………...63 FtHR.S= u
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter M@%$9N)gd
variations ………………………………………………………………………...66 T$)N2]FE
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9[31EiT
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 4AA3D!$
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 `IN/1=]5
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 tgz
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the C ^ 2J<
central wavelength ………………………………………………………………80 xd
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 8Evon&G59
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ]w*w@:Zk
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :j o
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wavelength ………………………………………………………………………88 Teo&V
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 , z8<[Q-#
Chapter 2 H &
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 y{{7)G
2.1 Synthesis methods based on merit function optimization …………………………...98 EdgcdSb7
2.1.1 Merit function selection …………………………………………………………98 <~D-ew^BU
2.1.2 Merit function optimization ……………………………………………………101 A 9\]y%!
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 *|97 g*G(
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 GO3F[ l
2.2.1 Needle-like variations of the refractive index ………………………………….115 X=_`$
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2.2.2 The principal idea of the method ………………………………………………119 (?[^##03MN
2.2.3 Description of the method ……………………………………………………...124 c:>&iB-Yu
Bibliography …...………………………………………….……………….………..……130
