| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS .@`5>_
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Contents k
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Preface……………………………………………………………………….………..……….4 #`5>XfbmQ(
Chapter 1 *K'_"2J
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: x o{y9V S
THEORY……………………………………………………………………………………….5 n@ PXC8}
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 d"nms\=p
1.1.1 Layered medium electromagnetic field equations………………………………...5 UNO KK_
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ij{ K\{y
1.1.3 The Fresnel formulas ……………………………………………………………18 =cwdl7N&I
1.1.4 Other ways of determining amplitude transmittance and reflectance of the $E@U- =m
layered medium…………………………………………………………………..19 C&/_mm5
1.1.5 Transmittance, reflectance and absorptance …………………………………….20
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ^ U.t5jj
1.2.1 Matrix calculating method ………………………………………………………22 pl.x_E,HP
1.2.2 Description of optical coating and presentation of calculation results…………..28 C9VtRq
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 F`e o3z
1.2.4 Approximate formulas…………………………………………………………...33 Evy_I+l
1.2.5 Other recurrent methods…………………………………………………………34 k )=Gyv <
1.2.6 The admittance phase plane……………………………………………………...38 mJYG k_ua
1.3 Some common properties of multilayer coatings…………………………………….46 14S_HwX
1.3.1 The relation between the characteristic matrix and spectral coefficients of a }J0HEpn4
multilayer coating ……………………………………………………………….47 <KEVA?0>
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 d cG)ql4d
1.3.3 Transmittance and reflectance of the combination of two multilayer 1x3>XN]a
subsystems ……………………………………………………………………....54 Bgf'Hm% r
1.4 The multilayer coatings optical properties: impact of variations in the layer PZYVLUw
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parameters……………………………………………………………………………...58 c*DBa]u2
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… >ca w
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral @;b @O
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coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter +zI NnX
variations ………………………………………………………………………...66 "*HVL
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 w^= uq3X?
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 +]$c+!khj
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 GWCU 9n
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 -& T.rs p
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the kVY 0
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central wavelength ………………………………………………………………80 .qfU^AHA
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y.,li<
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 D0*+7n3
1.6.1 Common expressions for spectral coefficients of filter-type systems near central rk7d7`V
wavelength ………………………………………………………………………88 SpA-E/el
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 J_}Rsp ED
Chapter 2 'X P
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 qL2Sv(A Z!
2.1 Synthesis methods based on merit function optimization …………………………...98 Rl[SqmnI)@
2.1.1 Merit function selection …………………………………………………………98 YGsg 0I't
2.1.2 Merit function optimization ……………………………………………………101 myqQqVW
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3(
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 %Y-KjSs +l
2.2.1 Needle-like variations of the refractive index ………………………………….115 ~ @%#eg
2.2.2 The principal idea of the method ………………………………………………119 =j^wa')
2.2.3 Description of the method ……………………………………………………...124 a? ]~Sw"@
Bibliography …...………………………………………….……………….………..……130
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