Basics of OPTICS OF MULTILAYER SYSTEMS |bY@HpMp
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Contents b[74 $W{
Preface……………………………………………………………………….………..……….4 ` z&#|0O
Chapter 1 ;k <dp7^
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 1R2IlUlzFr
THEORY……………………………………………………………………………………….5 2e`}O
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6_j |@
1.1.1 Layered medium electromagnetic field equations………………………………...5 _'=,c"
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 y{ ur'**l
1.1.3 The Fresnel formulas ……………………………………………………………18 ~a ob@(
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 4{P+p!4
layered medium…………………………………………………………………..19 w*qj0:i5as
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 R f:.'/<^
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~t6q-P
1.2.1 Matrix calculating method ………………………………………………………22 5n@YNaoIb
1.2.2 Description of optical coating and presentation of calculation results…………..28 J&xZN8jW
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Yuv i{ 0
1.2.4 Approximate formulas…………………………………………………………...33 7r:h_r-
1.2.5 Other recurrent methods…………………………………………………………34 YF5}~M ymF
1.2.6 The admittance phase plane……………………………………………………...38 !}&|a~U@`k
1.3 Some common properties of multilayer coatings…………………………………….46 XNz+a|cF
1.3.1 The relation between the characteristic matrix and spectral coefficients of a I|@+ O#
multilayer coating ……………………………………………………………….47 kaBjA*
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 EQ1**[$
1.3.3 Transmittance and reflectance of the combination of two multilayer >e;-$$e
subsystems ……………………………………………………………………....54 Tgdy;?
1.4 The multilayer coatings optical properties: impact of variations in the layer ={BD*= i
parameters……………………………………………………………………………...58 @62T :Vl
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… G3 .aw
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral x? h/e;
coefficients: probability assessment method ……………………….…………...63 iGyetFqKw
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter t<H"J__&
variations ………………………………………………………………………...66 Pe,>ny^J1
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 TKDG+`TyZ
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 *6Wiq5M>.
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {EgSjxfmw
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 i^s Vy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the &uq.k{<p\
central wavelength ………………………………………………………………80 ( @?mm
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CFtQPTw
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Sc<dxY@w7-
1.6.1 Common expressions for spectral coefficients of filter-type systems near central DHO]RRGV
wavelength ………………………………………………………………………88 o4Q?K .9c
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 A}9Z%U
Chapter 2 +}:Z9AAMy
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 @^,q/%;
2.1 Synthesis methods based on merit function optimization …………………………...98 LF dvz0
2.1.1 Merit function selection …………………………………………………………98 AxEyXT( h5
2.1.2 Merit function optimization ……………………………………………………101 5zl+ M`
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 8!_jZ f8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6h:QSVfx
2.2.1 Needle-like variations of the refractive index ………………………………….115 E]V,
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2.2.2 The principal idea of the method ………………………………………………119 u ?^V4 +V
2.2.3 Description of the method ……………………………………………………...124 M xE]EJZ
Bibliography …...………………………………………….……………….………..……130
