| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS ;9;.!4g/T
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Contents C~6aX /:
Preface……………………………………………………………………….………..……….4 6 !+"7r 6
Chapter 1 N 7N e
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: fC(lY4,H3R
THEORY……………………………………………………………………………………….5 5*4P_q(AxD
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 hBN!!a|l
1.1.1 Layered medium electromagnetic field equations………………………………...5 ) Oa"B;\j
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Wp >W?'`
1.1.3 The Fresnel formulas ……………………………………………………………18 f^0vkWI2
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _}Z *%sT
layered medium…………………………………………………………………..19 WL$WWA08_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 9]hc{\
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 |F6C&GNYT
1.2.1 Matrix calculating method ………………………………………………………22 o F @{&
1.2.2 Description of optical coating and presentation of calculation results…………..28 dJCu`34Y'|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 r:YAn^Lg
1.2.4 Approximate formulas…………………………………………………………...33 S0"O U0`N
1.2.5 Other recurrent methods…………………………………………………………34 EmY8AN(*
1.2.6 The admittance phase plane……………………………………………………...38 ( 4b&}46
1.3 Some common properties of multilayer coatings…………………………………….46 %L~X\M:Qk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a {V:?r
multilayer coating ……………………………………………………………….47 (&X"~:nm2
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \Lh,dZ}d
1.3.3 Transmittance and reflectance of the combination of two multilayer V1j&>-]]9*
subsystems ……………………………………………………………………....54
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1.4 The multilayer coatings optical properties: impact of variations in the layer 6G1Z"9<2*
parameters……………………………………………………………………………...58 ~r|.GY
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… h=)Im )
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral U6_1L,W
coefficients: probability assessment method ……………………….…………...63 !%5{jO1
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter `&0?e-
variations ………………………………………………………………………...66 )[zyvU. J3
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 h2,A cM
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 |a'Q ^aT
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 -6)ywq^{z
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Ya=QN<
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 9E
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central wavelength ………………………………………………………………80 u4Vc:n
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 8l)l9;4 6
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ?F`lI""E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central >) 5 rO U
wavelength ………………………………………………………………………88 4N#0w]_,>Y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 L{(r@Vu
Chapter 2 )?4m}
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 sU{+.k{
2.1 Synthesis methods based on merit function optimization …………………………...98 BH*vs xe
2.1.1 Merit function selection …………………………………………………………98 k&^Megcb
2.1.2 Merit function optimization ……………………………………………………101 -3KB:K<
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q^12Rj;H
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 FRfMtxvU
2.2.1 Needle-like variations of the refractive index ………………………………….115 \ iP[iE=
2.2.2 The principal idea of the method ………………………………………………119 VgoQz]z
2.2.3 Description of the method ……………………………………………………...124 =OjzBiHR
Bibliography …...………………………………………….……………….………..……130
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