Basics of OPTICS OF MULTILAYER SYSTEMS STw#lU) %(
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Contents h"[+)q%L
Preface……………………………………………………………………….………..……….4 t/PlcV_M"
Chapter 1 Yl$SW;@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: gOK\%&S]
THEORY……………………………………………………………………………………….5 d{de6 `
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 2kUxD8BcN
1.1.1 Layered medium electromagnetic field equations………………………………...5 3 Lsj}p
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 \yGsr Bl
1.1.3 The Fresnel formulas ……………………………………………………………18 5rV( (
1.1.4 Other ways of determining amplitude transmittance and reflectance of the r]Ff{la5
layered medium…………………………………………………………………..19 4~OQhiJ
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 hw~a:kD
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 lM[XS4/TRa
1.2.1 Matrix calculating method ………………………………………………………22 h}Wdh1.M3
1.2.2 Description of optical coating and presentation of calculation results…………..28 zn @N'R/
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 xN@Pz)y o
1.2.4 Approximate formulas…………………………………………………………...33 k %op>
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1.2.5 Other recurrent methods…………………………………………………………34 Ep4Hqx $
1.2.6 The admittance phase plane……………………………………………………...38 K!mOr
1.3 Some common properties of multilayer coatings…………………………………….46 AisN@
1.3.1 The relation between the characteristic matrix and spectral coefficients of a *VkgQ`c
multilayer coating ……………………………………………………………….47 7RvUH-S[
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 6 Ik,zQL
1.3.3 Transmittance and reflectance of the combination of two multilayer #s%-INcR
subsystems ……………………………………………………………………....54 ow' lRHZ
1.4 The multilayer coatings optical properties: impact of variations in the layer 56Z\-=KAU
parameters……………………………………………………………………………...58 ec|/ /
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^:jN3@ Q%
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral i o3yLIy,
coefficients: probability assessment method ……………………….…………...63 j9/-"dTL
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter /)rkiwp
variations ………………………………………………………………………...66 *$M'`vj:
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 U`x bPQ
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {3Vk p5%l
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ='E$-_
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Sm2>'C
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the kV Rn`n0
central wavelength ………………………………………………………………80 ^-M^gYBR
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 \ M/6m^zS
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 j Uqy8q&
1.6.1 Common expressions for spectral coefficients of filter-type systems near central "XLe3n
wavelength ………………………………………………………………………88 s F+=KH
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 da$BUA qU
Chapter 2 &wetzC )
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 @l UlY2
2.1 Synthesis methods based on merit function optimization …………………………...98 xDO7 A5
2.1.1 Merit function selection …………………………………………………………98 k 2%S`/:
2.1.2 Merit function optimization ……………………………………………………101 qUF1XJZ }z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 s
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 =BZ?- mIU
2.2.1 Needle-like variations of the refractive index ………………………………….115 YO:&;K%
2.2.2 The principal idea of the method ………………………………………………119 ,`8Y8
2.2.3 Description of the method ……………………………………………………...124 ,goBq3[%?
Bibliography …...………………………………………….……………….………..……130
