Basics of OPTICS OF MULTILAYER SYSTEMS 1VGpq-4*j
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Contents *?p
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Preface……………………………………………………………………….………..……….4 /} a_8iM\
Chapter 1 0}D-KvjyP
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Z, SY
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THEORY……………………………………………………………………………………….5 Q-3r}jJe
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 $ )f"K
1.1.1 Layered medium electromagnetic field equations………………………………...5 6N?#b66
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 yIWc\wv
1.1.3 The Fresnel formulas ……………………………………………………………18 C$t.C
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the @o60 c
layered medium…………………………………………………………………..19 M6&~LI.We=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 n_1jHJo
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \*Ts)E W
1.2.1 Matrix calculating method ………………………………………………………22 #1B}-PGCm
1.2.2 Description of optical coating and presentation of calculation results…………..28 4?v$<=#21*
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !*5_pGe
1.2.4 Approximate formulas…………………………………………………………...33 W
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1.2.5 Other recurrent methods…………………………………………………………34 2+o! o
1.2.6 The admittance phase plane……………………………………………………...38 drbe#FObX
1.3 Some common properties of multilayer coatings…………………………………….46 *|^,DGfQ6
1.3.1 The relation between the characteristic matrix and spectral coefficients of a rykj2/O
multilayer coating ……………………………………………………………….47 }'v{ dK
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 NtqFnxm/
1.3.3 Transmittance and reflectance of the combination of two multilayer el}hcAY/RP
subsystems ……………………………………………………………………....54 1y 1_6TZ+
1.4 The multilayer coatings optical properties: impact of variations in the layer jmSt?M0.xV
parameters……………………………………………………………………………...58 x\ 6] ;SXX
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ~};]k }
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +;YE)~R?
coefficients: probability assessment method ……………………….…………...63 r1+c/;TpZ
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,}u,)7
variations ………………………………………………………………………...66 #jOOsfH|k
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ftxTX3X
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 /q T E
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 d3og?{i<}&
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ) sRN!~
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 'y< t/qo
central wavelength ………………………………………………………………80 7,f:Qi@g
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 !;TR2Zcn
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central =Y/}b\9`T
wavelength ………………………………………………………………………88 @5 1z-T
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 X {#bJ
Chapter 2 5QKRI)XpZ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 d8 rBu jT
2.1 Synthesis methods based on merit function optimization …………………………...98 vz- 9<w;>a
2.1.1 Merit function selection …………………………………………………………98 qI(W$
2.1.2 Merit function optimization ……………………………………………………101 z'?SRK5+
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 O5u cI$s
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 m\_+)eI|
2.2.1 Needle-like variations of the refractive index ………………………………….115 s f
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2.2.2 The principal idea of the method ………………………………………………119 ,?Ok[G !cm
2.2.3 Description of the method ……………………………………………………...124 dUI3erO
Bibliography …...………………………………………….……………….………..……130
