Basics of OPTICS OF MULTILAYER SYSTEMS SGREpOlJ+
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Contents jCMr[ G=
Preface……………………………………………………………………….………..……….4 #;32(II
Chapter 1 02_% a1g
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: (*Jcx:rH
THEORY……………………………………………………………………………………….5 X;I;CZ={
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 :! h1S`wS
1.1.1 Layered medium electromagnetic field equations………………………………...5 !R zw[~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 .}>DEpc:n
1.1.3 The Fresnel formulas ……………………………………………………………18 M@V.?;F},
1.1.4 Other ways of determining amplitude transmittance and reflectance of the C]tHk)<|42
layered medium…………………………………………………………………..19 jQp7TdvLE$
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Fx.hti
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 w{t2Oo6Q0+
1.2.1 Matrix calculating method ………………………………………………………22 9w Pc03a
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^nYS @
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 EhkvC>y
1.2.4 Approximate formulas…………………………………………………………...33 #l6L7u0~wC
1.2.5 Other recurrent methods…………………………………………………………34 RY(\/W#$
1.2.6 The admittance phase plane……………………………………………………...38 hDp
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1.3 Some common properties of multilayer coatings…………………………………….46 ,&;#$ b5
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ]F5qXF5
multilayer coating ……………………………………………………………….47 8 ]N
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ,{ C
1.3.3 Transmittance and reflectance of the combination of two multilayer rTi W&#
subsystems ……………………………………………………………………....54 %8 )GuxG*
1.4 The multilayer coatings optical properties: impact of variations in the layer J2BW>T!tuw
parameters……………………………………………………………………………...58 4Lo8Eue
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Ub%al
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Qo !/]\
coefficients: probability assessment method ……………………….…………...63 8$:4~:]/
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter |-Z9-rl
variations ………………………………………………………………………...66 <|_/i/H
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 8,BNs5
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $q]:m+Fm
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3d^zLL
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 li4rK <O
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ~ N+bD
central wavelength ………………………………………………………………80 )p&FDK#ob=
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 )SMS<J
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `zNvZm -E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 7u"t4Or
wavelength ………………………………………………………………………88 .u3!%{/v(c
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 0f).F
Chapter 2 t> J 43
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 5eI3a!E]O
2.1 Synthesis methods based on merit function optimization …………………………...98 qm-G=EX
2.1.1 Merit function selection …………………………………………………………98 fLj#+h-!
2.1.2 Merit function optimization ……………………………………………………101 d&: ABI
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Vd 2bG4 *=
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ~yH<,e
2.2.1 Needle-like variations of the refractive index ………………………………….115 G 2]/g
2.2.2 The principal idea of the method ………………………………………………119 ~7Ey9wRkD
2.2.3 Description of the method ……………………………………………………...124 %(GWR@mfC
Bibliography …...………………………………………….……………….………..……130
