Basics of OPTICS OF MULTILAYER SYSTEMS 6Q>w\@lF
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Preface……………………………………………………………………….………..……….4 ~/.&Z`ls
Chapter 1 +HcH]D;
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: i4-L!<bJ
THEORY……………………………………………………………………………………….5 N0Y!
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 .9E`x>C
1.1.1 Layered medium electromagnetic field equations………………………………...5 Q{a!D0;4v
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 2 n7[Op
1.1.3 The Fresnel formulas ……………………………………………………………18 -^Lj ~O
1.1.4 Other ways of determining amplitude transmittance and reflectance of the m Ph;
layered medium…………………………………………………………………..19 #" OKO6]
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 tJn2:}-s
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 9 o18VJR
1.2.1 Matrix calculating method ………………………………………………………22 Z*Y?"1ar
1.2.2 Description of optical coating and presentation of calculation results…………..28 ht-6_]+ME
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -y AIrvO1q
1.2.4 Approximate formulas…………………………………………………………...33 Ue\&
1.2.5 Other recurrent methods…………………………………………………………34 7oWv'
1.2.6 The admittance phase plane……………………………………………………...38 C/w;g3
1.3 Some common properties of multilayer coatings…………………………………….46 /bb4nM_E/
1.3.1 The relation between the characteristic matrix and spectral coefficients of a LRI_s>7
multilayer coating ……………………………………………………………….47 ML]?`qv '
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 0O:TKgb&C.
1.3.3 Transmittance and reflectance of the combination of two multilayer OGVhb>LO1
subsystems ……………………………………………………………………....54 W%wS+3Q/
1.4 The multilayer coatings optical properties: impact of variations in the layer X >**M
parameters……………………………………………………………………………...58 z/ i3
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 2<O
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 1E Rz:\
coefficients: probability assessment method ……………………….…………...63 y^XwJX-f
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter *?8Q:@:
variations ………………………………………………………………………...66 +X&B'
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 #A/jGv^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 X}Csl~W8in
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 J2R<'(
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 UFl*^j_)]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the "K@os<
central wavelength ………………………………………………………………80 hb_Ia]b
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 J?]W!V7C
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 3HA{18{4uP
1.6.1 Common expressions for spectral coefficients of filter-type systems near central f+1]#"9i|
wavelength ………………………………………………………………………88 8O7JuR
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 3Q #VD)
Chapter 2 7~65 @&P>
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 l(`w]=t&
2.1 Synthesis methods based on merit function optimization …………………………...98 a0n
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2.1.1 Merit function selection …………………………………………………………98 0s8S`hCn>
2.1.2 Merit function optimization ……………………………………………………101 3)xV- Y9
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 jy*wj7fj1
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 mI.*b(Irp
2.2.1 Needle-like variations of the refractive index ………………………………….115 Soa.thP
2.2.2 The principal idea of the method ………………………………………………119 !!QMcx_C#/
2.2.3 Description of the method ……………………………………………………...124 z#\Z|OK U
Bibliography …...………………………………………….……………….………..……130
