Basics of OPTICS OF MULTILAYER SYSTEMS .w5#V|
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Contents v~^c-]4I
Preface……………………………………………………………………….………..……….4 3=o^Vv
Chapter 1 i!8 o(!I
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 7tWt3
THEORY……………………………………………………………………………………….5 XQCu\\> ;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 |Y' xtOMX
1.1.1 Layered medium electromagnetic field equations………………………………...5 ]~S ,K}T
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #N%ATV
1.1.3 The Fresnel formulas ……………………………………………………………18 ;\(Wz5Ok&J
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 6<0-GD}M
layered medium…………………………………………………………………..19 9_Tk8L#
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 VsS. \ 1
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 bz!9\D|h
1.2.1 Matrix calculating method ………………………………………………………22 C o6ghH7T
1.2.2 Description of optical coating and presentation of calculation results…………..28 (I3:u-A
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 +zodkB~)
1.2.4 Approximate formulas…………………………………………………………...33 vd 7%#sHH&
1.2.5 Other recurrent methods…………………………………………………………34 d>"t* >i]>
1.2.6 The admittance phase plane……………………………………………………...38 *&p `8:
1.3 Some common properties of multilayer coatings…………………………………….46 "=)i'x"0"
1.3.1 The relation between the characteristic matrix and spectral coefficients of a hgCF!eud
multilayer coating ……………………………………………………………….47 NJJ sg^'
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]{0R0Gr94
1.3.3 Transmittance and reflectance of the combination of two multilayer jxA`RSY
subsystems ……………………………………………………………………....54 =L_L/"*rel
1.4 The multilayer coatings optical properties: impact of variations in the layer sO7$b@"u.
parameters……………………………………………………………………………...58 @ yJ/!9?^
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,a_ F[uK
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral [s?H3yQ.
coefficients: probability assessment method ……………………….…………...63 @kU{
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter {XYv &K
variations ………………………………………………………………………...66 TTjj.fq6
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ^bpxhf
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 yjCY2T E
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $<^4G
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 pQ 0yZpN%;
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 3md yY\+&
central wavelength ………………………………………………………………80 K{[yS B
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >L$g ;(g
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 (Bs0 /C
1.6.1 Common expressions for spectral coefficients of filter-type systems near central }9T$ XF~
wavelength ………………………………………………………………………88 S-[]z*
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 F5Ce :+h
Chapter 2 ju8mO&
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 zo 66=vE!
2.1 Synthesis methods based on merit function optimization …………………………...98 +gb2>fei&
2.1.1 Merit function selection …………………………………………………………98 @W3f KF9*R
2.1.2 Merit function optimization ……………………………………………………101 ;6 aTt2BQ
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 x#yL&+'?Mj
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 A lh"G6
2.2.1 Needle-like variations of the refractive index ………………………………….115 Ve>*KHDSt
2.2.2 The principal idea of the method ………………………………………………119 x9r5 ;5TI
2.2.3 Description of the method ……………………………………………………...124 Nx4_Oc^hY
Bibliography …...………………………………………….……………….………..……130
