Basics of OPTICS OF MULTILAYER SYSTEMS z IT)Hs5
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Contents C_ 4(- OWq
Preface……………………………………………………………………….………..……….4 ]w;!x7bU(
Chapter 1 P ")1_!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: +l) [A{
THEORY……………………………………………………………………………………….5 "vL,c]D
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 _(%;O:i
1.1.1 Layered medium electromagnetic field equations………………………………...5 yJn<S@)VT:
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ^ 9`O
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1.1.3 The Fresnel formulas ……………………………………………………………18 wX Kg^%t\
1.1.4 Other ways of determining amplitude transmittance and reflectance of the :'0.
layered medium…………………………………………………………………..19 x@ *!MC #
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 zz_(*0,Qcr
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 tEF bL~n
1.2.1 Matrix calculating method ………………………………………………………22 /fDXO;tN
1.2.2 Description of optical coating and presentation of calculation results…………..28 ;5PBZ<w
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 RR9G$}WS(
1.2.4 Approximate formulas…………………………………………………………...33 nc/F@HCB
1.2.5 Other recurrent methods…………………………………………………………34 dlJc~|
1.2.6 The admittance phase plane……………………………………………………...38 e WWtMnq
1.3 Some common properties of multilayer coatings…………………………………….46 F+ Q(^Nk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Sxzt |{
multilayer coating ……………………………………………………………….47 , |G~PC8
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 0n-S%e5
1.3.3 Transmittance and reflectance of the combination of two multilayer 5BRZpCb
subsystems ……………………………………………………………………....54 '}BYMEd/m%
1.4 The multilayer coatings optical properties: impact of variations in the layer rMEM$1vPU
parameters……………………………………………………………………………...58 T7qE
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… '?)<e^
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral %&}gt+L(M
coefficients: probability assessment method ……………………….…………...63 LzGSN
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Bb9/nsbE
variations ………………………………………………………………………...66 m[8?d ~
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 |B~^7RHXo
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $3)Z>p
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 :xy4J Rc F
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 G{]tB w
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the wT@{=s,
central wavelength ………………………………………………………………80 Bh
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 '<-F3
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 L|]!ULi$d
1.6.1 Common expressions for spectral coefficients of filter-type systems near central h}&1
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wavelength ………………………………………………………………………88 1.IEs:( ;
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 *w5xC5 *
Chapter 2 Gk-49|qIV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Z%$ tV3a?
2.1 Synthesis methods based on merit function optimization …………………………...98 fq4 [/%6,O
2.1.1 Merit function selection …………………………………………………………98 2qpUUo f
2.1.2 Merit function optimization ……………………………………………………101 )PCh;P0C
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 7v]9) W=y
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Q nmv?YXS
2.2.1 Needle-like variations of the refractive index ………………………………….115 zr@H Yl
2.2.2 The principal idea of the method ………………………………………………119 D&*'|}RZ
2.2.3 Description of the method ……………………………………………………...124 B
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Bibliography …...………………………………………….……………….………..……130
