Basics of OPTICS OF MULTILAYER SYSTEMS o+1 (N#?m9
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Contents %OB W/Ti
Preface……………………………………………………………………….………..……….4 k)b{ UFRW
Chapter 1 k k=n&M
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: <<
6 GE
THEORY……………………………………………………………………………………….5 ] U>MYdGWb
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ?Q]&; 5o
1.1.1 Layered medium electromagnetic field equations………………………………...5 Zy(i_B-b
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 e gq,)6>
1.1.3 The Fresnel formulas ……………………………………………………………18 6F (z6_<
1.1.4 Other ways of determining amplitude transmittance and reflectance of the t=P+m
layered medium…………………………………………………………………..19 y[ dB mTY
1.1.5 Transmittance, reflectance and absorptance …………………………………….20
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 X?_rD'3
1.2.1 Matrix calculating method ………………………………………………………22 _Be waI;w
1.2.2 Description of optical coating and presentation of calculation results…………..28 S\:^#Yi`
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 1ubu~6
1.2.4 Approximate formulas…………………………………………………………...33 E22o-nI?1
1.2.5 Other recurrent methods…………………………………………………………34 |Rf j
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1.2.6 The admittance phase plane……………………………………………………...38 WESD^FK
1.3 Some common properties of multilayer coatings…………………………………….46 V(& L
1.3.1 The relation between the characteristic matrix and spectral coefficients of a /]U$ OP*0
multilayer coating ……………………………………………………………….47 5sY $
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 eHgr"f*7
1.3.3 Transmittance and reflectance of the combination of two multilayer ?I Gp?R^j"
subsystems ……………………………………………………………………....54 u d/!@WG
1.4 The multilayer coatings optical properties: impact of variations in the layer ']nIa7
parameters……………………………………………………………………………...58 [piK"N
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… e4YfJd
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral mV^w|x
coefficients: probability assessment method ……………………….…………...63 7\UHADr
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Km5_P##
variations ………………………………………………………………………...66 Exw d,2>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 /4r2B. 91O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 #ZZe*B!s_
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 )la3GT*1mS
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 \'y]m B~k
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the !RKuEg4hQ
central wavelength ………………………………………………………………80 }U7IMONU
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 N] W*ei
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 F8w7N$/V",
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 2O kID
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wavelength ………………………………………………………………………88 =CQfs6np:N
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 2c Xae
Chapter 2 gvc@q`_]
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 P`Zon
2.1 Synthesis methods based on merit function optimization …………………………...98 8#QT[H
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2.1.1 Merit function selection …………………………………………………………98 ':4ny]F
2.1.2 Merit function optimization ……………………………………………………101 2V V> ?s
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E]#;K-j
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ] G[ "TX,
2.2.1 Needle-like variations of the refractive index ………………………………….115 v/ry" W
2.2.2 The principal idea of the method ………………………………………………119 ["nWIs[h
2.2.3 Description of the method ……………………………………………………...124 mu
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Bibliography …...………………………………………….……………….………..……130
