Basics of OPTICS OF MULTILAYER SYSTEMS `m>*d!h=
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Contents %K` % *D
Preface……………………………………………………………………….………..……….4 O<"}|nbmQ[
Chapter 1 wsN?[=l{s
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Bck7\
THEORY……………………………………………………………………………………….5 jm0- y%
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 m&\h4$[kql
1.1.1 Layered medium electromagnetic field equations………………………………...5 f3{MvAy[
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 =p? WBZT|:
1.1.3 The Fresnel formulas ……………………………………………………………18 SWQ5 fcPu
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %D8ZO0J7H
layered medium…………………………………………………………………..19 < hO
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #hf
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Av SM ^
1.2.1 Matrix calculating method ………………………………………………………22 \B 0ywN?
1.2.2 Description of optical coating and presentation of calculation results…………..28 PSVc+s[Q+V
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 1_
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1.2.4 Approximate formulas…………………………………………………………...33 Y&_&s7z
1.2.5 Other recurrent methods…………………………………………………………34 6290ZNvr
1.2.6 The admittance phase plane……………………………………………………...38 a,+@|TJ,i
1.3 Some common properties of multilayer coatings…………………………………….46 %Gj8F4{
1.3.1 The relation between the characteristic matrix and spectral coefficients of a c`WHNky%j
multilayer coating ……………………………………………………………….47 &S]@Ot<z
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 no] z1D
1.3.3 Transmittance and reflectance of the combination of two multilayer _ozg_E
subsystems ……………………………………………………………………....54 |-
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1.4 The multilayer coatings optical properties: impact of variations in the layer D3^7y.u<)
parameters……………………………………………………………………………...58 x-<)\ L&
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !]fQ+ *X0g
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral P*@2.#oO
coefficients: probability assessment method ……………………….…………...63 0i|oYaC
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter }kK[S|XVO
variations ………………………………………………………………………...66 f0<%&2ym
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 < ~!Hx+j
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 bi&*9K0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ]%Nlv(
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ~7t$MF.
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the vZ N!Zl7S
central wavelength ………………………………………………………………80 Qb; d:@9
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 'vq:D$A
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =w5O&(
1.6.1 Common expressions for spectral coefficients of filter-type systems near central M$d%p6Cv
wavelength ………………………………………………………………………88 V8wKAj
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 :%AL\ n
Chapter 2 |*Yf.-
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 p=B >~CH
2.1 Synthesis methods based on merit function optimization …………………………...98 zBp{K@U[|M
2.1.1 Merit function selection …………………………………………………………98 =rQP[ICs!
2.1.2 Merit function optimization ……………………………………………………101 ls `,EFF
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ym/fFm6h
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 pD2<fP_
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;k86"W
2.2.2 The principal idea of the method ………………………………………………119 .R8 HZ}3
2.2.3 Description of the method ……………………………………………………...124 d90Z, nex
Bibliography …...………………………………………….……………….………..……130
