Basics of OPTICS OF MULTILAYER SYSTEMS t_dw }I
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Contents #q~3c;ec
Preface……………………………………………………………………….………..……….4 *O(/UVuD\
Chapter 1 9I`Mm}v@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: xY\*L:TwW
THEORY……………………………………………………………………………………….5 E]u'MX
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 gCk y(4
1.1.1 Layered medium electromagnetic field equations………………………………...5 dbMu6Bm\G
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 X YNUss
1.1.3 The Fresnel formulas ……………………………………………………………18 ( l3UNP
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Uf7F8JZmM
layered medium…………………………………………………………………..19 4,w{rm j
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 e\d5SKY
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Xv A0nEi
1.2.1 Matrix calculating method ………………………………………………………22 G!e}j
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1.2.2 Description of optical coating and presentation of calculation results…………..28 sl^s9kx;C$
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 \4\\575zp'
1.2.4 Approximate formulas…………………………………………………………...33 E+^} B/"
1.2.5 Other recurrent methods…………………………………………………………34 (2O} B.6
1.2.6 The admittance phase plane……………………………………………………...38 2vh!p ez_
1.3 Some common properties of multilayer coatings…………………………………….46 7'{Y z
1.3.1 The relation between the characteristic matrix and spectral coefficients of a BuEQ^[Ex
multilayer coating ……………………………………………………………….47 |L.~Am d
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 D)O6| DiO
1.3.3 Transmittance and reflectance of the combination of two multilayer ."!8B9 s
subsystems ……………………………………………………………………....54 (. quX@w"m
1.4 The multilayer coatings optical properties: impact of variations in the layer !d bA (
parameters……………………………………………………………………………...58 {0)WS}&
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… qa0JQ _?o]
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral R@7GCj
coefficients: probability assessment method ……………………….…………...63 7uv/@(J"$
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 0'\FrG
variations ………………………………………………………………………...66 Wy^[4|6
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9s\i(/RxW
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 p+`*~6Jj/
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 px
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 (1elF)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the t5X^(@q4N
central wavelength ………………………………………………………………80 @KW+?maW
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 S,"ChR
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 }<\65 B$1
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ,s yA()
wavelength ………………………………………………………………………88 ;8;~ C "
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 y1\^v_.^
Chapter 2 cP#]n)<
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ,8J*S
2.1 Synthesis methods based on merit function optimization …………………………...98 ,3@15j
2.1.1 Merit function selection …………………………………………………………98 Yyo9{4v+p{
2.1.2 Merit function optimization ……………………………………………………101 n7, 6a
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 JIY ^N9_
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 #nc@!+
2.2.1 Needle-like variations of the refractive index ………………………………….115 -YRL> ]1
2.2.2 The principal idea of the method ………………………………………………119 3U9+l0mBa
2.2.3 Description of the method ……………………………………………………...124 kXZV%mnT7
Bibliography …...………………………………………….……………….………..……130
