Basics of OPTICS OF MULTILAYER SYSTEMS 8/BWe
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Contents klxNGxWAX
Preface……………………………………………………………………….………..……….4 #Zj3SfU~`
Chapter 1 -&QTy
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: :>3/*"vx?G
THEORY……………………………………………………………………………………….5 Xcw 6mpLt
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 AZf$ XHP2
1.1.1 Layered medium electromagnetic field equations………………………………...5 7 D W_G
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?my2dd,|
1.1.3 The Fresnel formulas ……………………………………………………………18 eYD -8*
1.1.4 Other ways of determining amplitude transmittance and reflectance of the \SyG#.$
layered medium…………………………………………………………………..19 Dt glPo_(
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 GB8>R
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 X6G 2$|
1.2.1 Matrix calculating method ………………………………………………………22 wHE1Jqpo
1.2.2 Description of optical coating and presentation of calculation results…………..28 Qa@]
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 R>y/Y<5=
1.2.4 Approximate formulas…………………………………………………………...33 3fd?xhWbN
1.2.5 Other recurrent methods…………………………………………………………34 Cd'`rs}3
1.2.6 The admittance phase plane……………………………………………………...38 E:ti]$$
1.3 Some common properties of multilayer coatings…………………………………….46 k4+ Q$3"
1.3.1 The relation between the characteristic matrix and spectral coefficients of a _qvzZ6
multilayer coating ……………………………………………………………….47 c$b~? Mx
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |h^] `= 3
1.3.3 Transmittance and reflectance of the combination of two multilayer f < pJ_
subsystems ……………………………………………………………………....54 -n~%v0D8c
1.4 The multilayer coatings optical properties: impact of variations in the layer :]uz0 s`>
parameters……………………………………………………………………………...58 :)DvZx HE@
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… BI :O?!:9)
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Y^-D'2P]P
coefficients: probability assessment method ……………………….…………...63 >bbvQb +j
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter E@CK.-N|
variations ………………………………………………………………………...66 8Bwm+LYr-
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ,KFF[z
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 /4{IxQk
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9 ?zi
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 l
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the x9 i^ _3Z
central wavelength ………………………………………………………………80 h%8C_m A
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 $VnPs !a
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 s}g3*_"
1.6.1 Common expressions for spectral coefficients of filter-type systems near central <m0m8p"G
wavelength ………………………………………………………………………88 ; fxrOfb
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 /0(c-Dv
Chapter 2 ^F g!.X _
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 <8YIQA
2.1 Synthesis methods based on merit function optimization …………………………...98 /amWf^z
2.1.1 Merit function selection …………………………………………………………98 +Y"HbNz
2.1.2 Merit function optimization ……………………………………………………101 S t;@ZV
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 N?><%fra
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1a_;(T
2.2.1 Needle-like variations of the refractive index ………………………………….115 35n'sVn
2.2.2 The principal idea of the method ………………………………………………119 8 c5=Px2\
2.2.3 Description of the method ……………………………………………………...124 c_Jcy
Bibliography …...………………………………………….……………….………..……130
