Basics of OPTICS OF MULTILAYER SYSTEMS U] GD6q
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Contents h!|U j
Preface……………………………………………………………………….………..……….4 {7]maOg>7J
Chapter 1 8Yf*vp>T/x
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: `sso Wn4
THEORY……………………………………………………………………………………….5 hxM{}}. E
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 .s,04xW\
1.1.1 Layered medium electromagnetic field equations………………………………...5 \#VWZ\M8a
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 :3D6OBkB
1.1.3 The Fresnel formulas ……………………………………………………………18 ' v
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the NQZ /E )f
layered medium…………………………………………………………………..19 Eri007? D
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 'Q : %s
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 z[<Na3]
1.2.1 Matrix calculating method ………………………………………………………22 ;]m;p,$
1.2.2 Description of optical coating and presentation of calculation results…………..28 Tsb}\
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 _a& Z$2O
1.2.4 Approximate formulas…………………………………………………………...33 v^s ?=9
1.2.5 Other recurrent methods…………………………………………………………34 eZ[Qhrc
1.2.6 The admittance phase plane……………………………………………………...38 YsVKd h
1.3 Some common properties of multilayer coatings…………………………………….46 41Q)w=hoN
1.3.1 The relation between the characteristic matrix and spectral coefficients of a O#18a, o @
multilayer coating ……………………………………………………………….47 @sZ7Ka
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 KA{QGaZ/
1.3.3 Transmittance and reflectance of the combination of two multilayer -=8f* K[W
subsystems ……………………………………………………………………....54 W5Pur
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1.4 The multilayer coatings optical properties: impact of variations in the layer ':_gYA
parameters……………………………………………………………………………...58 4~$U#$u_
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U;
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *!BQ1 ] G
coefficients: probability assessment method ……………………….…………...63 2 YWO' PL
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !]A/ID0K
variations ………………………………………………………………………...66 4xal m
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 iM:-750n/
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 4]0:zS *O
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 i>CR {q
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 c1+z(NQ3
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the c?c\6*O
central wavelength ………………………………………………………………80 r1R M7y
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 A=|a!N/
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 \v c&V8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 5MCgmF*Y2
wavelength ………………………………………………………………………88 *9=}f;~
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 uBg #zx
Chapter 2 :]Om4Q\-#
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 (]I= ';\
2.1 Synthesis methods based on merit function optimization …………………………...98 X g_l4!T_l
2.1.1 Merit function selection …………………………………………………………98 <GQ=PrT|/
2.1.2 Merit function optimization ……………………………………………………101 4Jc~I
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 &K[~Ab_
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 iRG6Cw2
2.2.1 Needle-like variations of the refractive index ………………………………….115 ]=xX_
2.2.2 The principal idea of the method ………………………………………………119 `#`C.:/n
2.2.3 Description of the method ……………………………………………………...124 ^
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Bibliography …...………………………………………….……………….………..……130
