Basics of OPTICS OF MULTILAYER SYSTEMS iNd 8M V
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Contents JV(|7Sk
Preface……………………………………………………………………….………..……….4 hgfCM
Chapter 1 vZhN%
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ) i.p[
THEORY……………………………………………………………………………………….5 EG@*J*|S
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5
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1.1.1 Layered medium electromagnetic field equations………………………………...5 z"=#<C
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 "Z& {
1.1.3 The Fresnel formulas ……………………………………………………………18 hi`\3B
1.1.4 Other ways of determining amplitude transmittance and reflectance of the -P(q<T2MV'
layered medium…………………………………………………………………..19 @ m1v B!
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 H2E!A2\m
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 |XLx6E2F
1.2.1 Matrix calculating method ………………………………………………………22 5?k F'yksR
1.2.2 Description of optical coating and presentation of calculation results…………..28 "_}Hzpy5k
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 V78QV3
1.2.4 Approximate formulas…………………………………………………………...33 C8-4 m68"
1.2.5 Other recurrent methods…………………………………………………………34 t?QR27cs$
1.2.6 The admittance phase plane……………………………………………………...38 $ X9-0-
1.3 Some common properties of multilayer coatings…………………………………….46 xzz[!yJjG
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ]y2(ZTNTs
multilayer coating ……………………………………………………………….47 ;ZFn~!V
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 RUlM""@b
1.3.3 Transmittance and reflectance of the combination of two multilayer |A 8xy#
subsystems ……………………………………………………………………....54 hg]\~#&-
1.4 The multilayer coatings optical properties: impact of variations in the layer l { \~I
parameters……………………………………………………………………………...58 d Am( uJ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… `.#e4 FBW
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^z "90-V^
coefficients: probability assessment method ……………………….…………...63 f+Pu t
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 9"I/jd0B
variations ………………………………………………………………………...66 XB50>??NE
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 2%rAf8=
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 6wqq"6w
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 O)Nj'Hcu
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Tm.(gK
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the * G.6\
central wavelength ………………………………………………………………80 4u"V52
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y 4C_G?
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 oz(<e
1.6.1 Common expressions for spectral coefficients of filter-type systems near central wHx1CXC
wavelength ………………………………………………………………………88 p*-o33Ve
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 '<^%> R2
Chapter 2 #hH "g
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 kbI:}b7H
2.1 Synthesis methods based on merit function optimization …………………………...98 0>)('Kv
2.1.1 Merit function selection …………………………………………………………98 )67Kd]
2.1.2 Merit function optimization ……………………………………………………101 p6A "_b^
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 z5=&qo|f9l
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 "qu% $L
2.2.1 Needle-like variations of the refractive index ………………………………….115 HZ>Xm6DnC5
2.2.2 The principal idea of the method ………………………………………………119 K9m L1 [B
2.2.3 Description of the method ……………………………………………………...124 I'`Q_5s5
Bibliography …...………………………………………….……………….………..……130
