Basics of OPTICS OF MULTILAYER SYSTEMS I_ O8 9Sgn
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Contents APy e
Preface……………………………………………………………………….………..……….4 [\|`C4@3a
Chapter 1 $#2zxpr,
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: *nZe|)m
THEORY……………………………………………………………………………………….5 i3
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 m/M=.\]
1.1.1 Layered medium electromagnetic field equations………………………………...5 I?y!d
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 B8J_^kd
1.1.3 The Fresnel formulas ……………………………………………………………18 &|6 A
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the f7&53yZF
layered medium…………………………………………………………………..19 ,v^A;,q
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 s0EF{2<F
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ^LAP* R
1.2.1 Matrix calculating method ………………………………………………………22 aL?+# j^"
1.2.2 Description of optical coating and presentation of calculation results…………..28 sn>2dRW{
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 U1oZ\Mh
1.2.4 Approximate formulas…………………………………………………………...33 M{(g"ha
1.2.5 Other recurrent methods…………………………………………………………34 'c]Fhe fb
1.2.6 The admittance phase plane……………………………………………………...38 3:H[ S_q
1.3 Some common properties of multilayer coatings…………………………………….46 v *Dz4K#
1.3.1 The relation between the characteristic matrix and spectral coefficients of a `LroH>_
multilayer coating ……………………………………………………………….47 w^B F.Nu
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 &oJ1v<`
1.3.3 Transmittance and reflectance of the combination of two multilayer LpV2XL$p>#
subsystems ……………………………………………………………………....54 ([g[\c,H
1.4 The multilayer coatings optical properties: impact of variations in the layer ZwzN=03T
parameters……………………………………………………………………………...58 dUvgFOy|P
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… &|]GTN `E
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral )~>
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coefficients: probability assessment method ……………………….…………...63 [ :Upn)9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter >_3P6- L>
variations ………………………………………………………………………...66 e@j&c:p(Y
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 s:O8d L
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ?:$aX@r
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $V/Hr/ 0
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 e9\eh? bPU
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the EOj.Jrs~
central wavelength ………………………………………………………………80 ;xXD2{q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 UR{OrNg*
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 jV
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central \86:f<)P
wavelength ………………………………………………………………………88 ;:W M^S
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 h D*83_S
Chapter 2 f)_k_ <
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 XJSI/jpa@
2.1 Synthesis methods based on merit function optimization …………………………...98 +< })`(8
2.1.1 Merit function selection …………………………………………………………98 ._X|Ye9/
2.1.2 Merit function optimization ……………………………………………………101 XI5TVxo(q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Jc=~BT_G
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 /:=,mWoO
2.2.1 Needle-like variations of the refractive index ………………………………….115 cVY PPal
2.2.2 The principal idea of the method ………………………………………………119 y$,j'B:;4m
2.2.3 Description of the method ……………………………………………………...124 }VU7wMk
Bibliography …...………………………………………….……………….………..……130
