Basics of OPTICS OF MULTILAYER SYSTEMS ;O>zA]Z8r
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Contents :`BG/
Preface……………………………………………………………………….………..……….4 E2o8'.~Yd`
Chapter 1 G a$2o6
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 2GigeN|1N
THEORY……………………………………………………………………………………….5 Rbgy?8#9
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 mm!JNb9(
1.1.1 Layered medium electromagnetic field equations………………………………...5 p+nB@fN/
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 =mwAbh)[7n
1.1.3 The Fresnel formulas ……………………………………………………………18 u&`rK7 J
1.1.4 Other ways of determining amplitude transmittance and reflectance of the B&!>& Rbx
layered medium…………………………………………………………………..19 {P ?p*2J'
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 [ x.]
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Y!c7P,cZ+3
1.2.1 Matrix calculating method ………………………………………………………22 n|.> 41bJ
1.2.2 Description of optical coating and presentation of calculation results…………..28 hG<W *g
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 &F0 >V o
1.2.4 Approximate formulas…………………………………………………………...33 T.{]t6t$U
1.2.5 Other recurrent methods…………………………………………………………34 #=" L r4T
1.2.6 The admittance phase plane……………………………………………………...38 ?*q-u9s 9
1.3 Some common properties of multilayer coatings…………………………………….46 _!Z}HCk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a gi_f8RP=2a
multilayer coating ……………………………………………………………….47 <gvgr4@^yR
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 %gqu7}'
1.3.3 Transmittance and reflectance of the combination of two multilayer (A_H[xP
subsystems ……………………………………………………………………....54 XGnC8Be{4
1.4 The multilayer coatings optical properties: impact of variations in the layer 5}9rpN{y
parameters……………………………………………………………………………...58 C?g*c
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… >"]t4]GVf
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral [--] ?Dr
coefficients: probability assessment method ……………………….…………...63 C91'dM
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter rc{F17~vX
variations ………………………………………………………………………...66 KAT^v b R
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Z2]\k|%<Fa
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 f0{ tBD!%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 1OK~*=/4
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 S6yLq|W0
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the L6=5]?B=
central wavelength ………………………………………………………………80 !r*JGv=
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 =p8iYtI
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 %yVP @M
1.6.1 Common expressions for spectral coefficients of filter-type systems near central RBeQT=B8~
wavelength ………………………………………………………………………88 `LTD|0;
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 DT]3q4__Q
Chapter 2 S:
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 bwjLMWEVq
2.1 Synthesis methods based on merit function optimization …………………………...98 t .XuH#
2.1.1 Merit function selection …………………………………………………………98 ,UT :wpc^i
2.1.2 Merit function optimization ……………………………………………………101 >hotkMX `3
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 @A%\;o o
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8; ,(D# p
2.2.1 Needle-like variations of the refractive index ………………………………….115 y
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2.2.2 The principal idea of the method ………………………………………………119 Pz' Z n
2.2.3 Description of the method ……………………………………………………...124 g3'yqIjQL
Bibliography …...………………………………………….……………….………..……130
