| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS @B'8SL oP
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Contents L%K_.!d^
Preface……………………………………………………………………….………..……….4 tOM3Gs~o6z
Chapter 1 <W51 oO
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: \ U*-w:+@
THEORY……………………………………………………………………………………….5 mu6x L QdA
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 U= i8>6V
1.1.1 Layered medium electromagnetic field equations………………………………...5 qi SEnRG.
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,AbK xT
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1.1.3 The Fresnel formulas ……………………………………………………………18 5d?!<(e6
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _%Jl&0%q
layered medium…………………………………………………………………..19 "26B4*
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 2b4pOM7W
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Ef`5fgp?
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1.2.1 Matrix calculating method ………………………………………………………22 ]tQDk4&i
1.2.2 Description of optical coating and presentation of calculation results…………..28 R'9@A\7#
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 3 2 1={\X
1.2.4 Approximate formulas…………………………………………………………...33 I4<{R
1.2.5 Other recurrent methods…………………………………………………………34 HcBH!0
1.2.6 The admittance phase plane……………………………………………………...38 '!fFI 1s
1.3 Some common properties of multilayer coatings…………………………………….46 9O=05CQ
1.3.1 The relation between the characteristic matrix and spectral coefficients of a *mQDS.'AB@
multilayer coating ……………………………………………………………….47 ) qyx|D
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]\a\6&R
1.3.3 Transmittance and reflectance of the combination of two multilayer {rb-DB-/5M
subsystems ……………………………………………………………………....54 G{f`K^
1.4 The multilayer coatings optical properties: impact of variations in the layer :%uyy5AZ
parameters……………………………………………………………………………...58 V"7<[u]K|
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ,dZ H$
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral }r~v,KDb
coefficients: probability assessment method ……………………….…………...63 /G)KkB C
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 6t_ 3%{
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 !k:z Ljtp
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 @7Rt 4}g
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3%[)!zKv
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 5xMA~I 0c
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 7TV>6i+7
central wavelength ………………………………………………………………80 tIxhSI^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 j$|j8?
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -Ap2NpZ"t
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 7#Uz*G\iZ
wavelength ………………………………………………………………………88 V`g\ja* Y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 d^Zo35X
Chapter 2 Iuu<2#gb8"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ~jp!" f
2.1 Synthesis methods based on merit function optimization …………………………...98 % UUp=I
2.1.1 Merit function selection …………………………………………………………98 3 ^02fy
2.1.2 Merit function optimization ……………………………………………………101 v 7o?GQ75
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 P&[F t) `
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 yfM>8"h@
2.2.1 Needle-like variations of the refractive index ………………………………….115
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2.2.2 The principal idea of the method ………………………………………………119 ;L
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2.2.3 Description of the method ……………………………………………………...124 <OR.q
Bibliography …...………………………………………….……………….………..……130
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