Basics of OPTICS OF MULTILAYER SYSTEMS -&|: 0#@P
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Contents Z& Y=`GOI
Preface……………………………………………………………………….………..……….4 mMSh2B
Chapter 1 Xd<t5{bD!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 7Y m(n8
THEORY……………………………………………………………………………………….5 .~>?*}
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 +x= )/; :
1.1.1 Layered medium electromagnetic field equations………………………………...5 qnM| w~G
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 hoM|P8
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1.1.3 The Fresnel formulas ……………………………………………………………18 xe4Oxo
1.1.4 Other ways of determining amplitude transmittance and reflectance of the hA}~es=c
layered medium…………………………………………………………………..19 Ml?~
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 QzOkpewf
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 -`b8T0?oK
1.2.1 Matrix calculating method ………………………………………………………22 :XG;r u%i
1.2.2 Description of optical coating and presentation of calculation results…………..28 =PkO!M m8
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 z ce`\ /:
1.2.4 Approximate formulas…………………………………………………………...33 JTU#vq:TY
1.2.5 Other recurrent methods…………………………………………………………34 *T`-|H*6@
1.2.6 The admittance phase plane……………………………………………………...38 S?ujRp
1.3 Some common properties of multilayer coatings…………………………………….46 ~Y P Jez
1.3.1 The relation between the characteristic matrix and spectral coefficients of a < IJu7t>
multilayer coating ……………………………………………………………….47 uR;gVO+QC
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 UlcH%pxTt1
1.3.3 Transmittance and reflectance of the combination of two multilayer fB1TFtAh
subsystems ……………………………………………………………………....54 /PzcvN
1.4 The multilayer coatings optical properties: impact of variations in the layer izg p*M,
parameters……………………………………………………………………………...58 ? S
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… o:S0*
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral @L/o\pvc
coefficients: probability assessment method ……………………….…………...63 7ZxaPkIu&%
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter NTo !'p:s
variations ………………………………………………………………………...66 tZyo`[La
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &;i
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Jzkq)]M
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 =,y |00l
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the JyL a#\ R
central wavelength ………………………………………………………………80 uo\ .7[1
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 n">u mM;Eh
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1Xu?(2;NF
1.6.1 Common expressions for spectral coefficients of filter-type systems near central q h/F
wavelength ………………………………………………………………………88 B* kcN lW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 E/M_l vQ
Chapter 2 A4 C+5R
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 x5}'7,A
2.1 Synthesis methods based on merit function optimization …………………………...98 Byl^? 5
2.1.1 Merit function selection …………………………………………………………98 VKp*9 %9
2.1.2 Merit function optimization ……………………………………………………101 mw$r$C{
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E>b2+;Jv
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Zxr!:t7
2.2.1 Needle-like variations of the refractive index ………………………………….115 Vd^g9
2.2.2 The principal idea of the method ………………………………………………119 YB<*"HxM)}
2.2.3 Description of the method ……………………………………………………...124 fmqb` %
Bibliography …...………………………………………….……………….………..……130
