Basics of OPTICS OF MULTILAYER SYSTEMS >?\ !k
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Contents |6G5
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Preface……………………………………………………………………….………..……….4 l%V}'6T
Chapter 1 o`]FH _
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: G5@@m-
THEORY……………………………………………………………………………………….5 _34YH 5
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #nL0Hx7]E
1.1.1 Layered medium electromagnetic field equations………………………………...5 {twf7.eY
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Y{B_OoTun
1.1.3 The Fresnel formulas ……………………………………………………………18 W5yu`Br
1.1.4 Other ways of determining amplitude transmittance and reflectance of the y")>"8 H
layered medium…………………………………………………………………..19 ;:YjgZ:+Q]
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 =|^W]2 W$
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 &l)v'
1.2.1 Matrix calculating method ………………………………………………………22 8U $UI
1.2.2 Description of optical coating and presentation of calculation results…………..28 d:ajD
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 8i~'~/x
1.2.4 Approximate formulas…………………………………………………………...33 biuo.OG]
1.2.5 Other recurrent methods…………………………………………………………34 Q9
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1.2.6 The admittance phase plane……………………………………………………...38 zm.sX~j
1.3 Some common properties of multilayer coatings…………………………………….46 :D7!6}%
1.3.1 The relation between the characteristic matrix and spectral coefficients of a KV(W|~+ rM
multilayer coating ……………………………………………………………….47 B_1u<00kg
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 un%"s:
1.3.3 Transmittance and reflectance of the combination of two multilayer , l"2MXD
subsystems ……………………………………………………………………....54
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1.4 The multilayer coatings optical properties: impact of variations in the layer ~H."{
parameters……………………………………………………………………………...58 !I
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… `qEm5+`
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 2Nzc ej
coefficients: probability assessment method ……………………….…………...63 -i gZU>0B_
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter e/%Y ruzS
variations ………………………………………………………………………...66 FC .-u"V
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 vK/Z9wR*05
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {x$#5 PW
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 G-> @
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 y$ W3\`2q
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the b .@dUuKz-
central wavelength ………………………………………………………………80 l0o_C#"<S
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .;Yei6H
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 61 |xv_/
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :36^^Wm
wavelength ………………………………………………………………………88 k82LCV+6
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 bm|8Jbsb &
Chapter 2 ~|]\. ^B
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 *]u/,wCB
2.1 Synthesis methods based on merit function optimization …………………………...98 2?&ptN) `N
2.1.1 Merit function selection …………………………………………………………98 8`<GplO
2.1.2 Merit function optimization ……………………………………………………101 J?DyTs3 Z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 )^3655mb
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 A>S2BL#=
2.2.1 Needle-like variations of the refractive index ………………………………….115 b&& 'b )
2.2.2 The principal idea of the method ………………………………………………119 breV TY7 S
2.2.3 Description of the method ……………………………………………………...124 6f1Y:qK'@
Bibliography …...………………………………………….……………….………..……130
