| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS "FA. T7G
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Contents _qf39fM;\
Preface……………………………………………………………………….………..……….4 #@OPi6.#!<
Chapter 1 -JF^`hBD-
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: *l{epu m;
THEORY……………………………………………………………………………………….5 7`;f<QNo
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6
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1.1.1 Layered medium electromagnetic field equations………………………………...5 3p &T?E%
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 0y,w\'j
1.1.3 The Fresnel formulas ……………………………………………………………18 KzO"$+M
1.1.4 Other ways of determining amplitude transmittance and reflectance of the S}VS@KDO
layered medium…………………………………………………………………..19 i (;`x
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Znb7OF^#"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Wj^e)2%
1.2.1 Matrix calculating method ………………………………………………………22 xmcZN3 ){+
1.2.2 Description of optical coating and presentation of calculation results…………..28 DbH;DcV7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 $Q8
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1.2.4 Approximate formulas…………………………………………………………...33 ^_|kEvk0
1.2.5 Other recurrent methods…………………………………………………………34 \alV #>J5
1.2.6 The admittance phase plane……………………………………………………...38 |mQ Fi\
1.3 Some common properties of multilayer coatings…………………………………….46 a24 AmoWx
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Zf@B<
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multilayer coating ……………………………………………………………….47 |K Rt$t
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 C$6FI `J
1.3.3 Transmittance and reflectance of the combination of two multilayer 4\&Y;upy+
subsystems ……………………………………………………………………....54 nS%jnp#
1.4 The multilayer coatings optical properties: impact of variations in the layer sd\ p[MXX
parameters……………………………………………………………………………...58 H,L{N'[Xph
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… i m;6$3
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral
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coefficients: probability assessment method ……………………….…………...63 U[f00m5{HV
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter r) 'vn[A
variations ………………………………………………………………………...66 `T [@ -
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 nPXP9wmh4x
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 9m$;C '}Z
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 dJ6fPB|k
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 b^d{$eoH?|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the '^_u5Y]
central wavelength ………………………………………………………………80 WqNXE )'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 _=s9o/Cn]
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 +,>%Yb =EA
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 2uE<mjCt-r
wavelength ………………………………………………………………………88 !B%em%Tv
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Y\-xX:n.\
Chapter 2 > Dr(%z6CN
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 &su'znLV
2.1 Synthesis methods based on merit function optimization …………………………...98 Z*co\ pW
2.1.1 Merit function selection …………………………………………………………98 +`Z1L\gmA
2.1.2 Merit function optimization ……………………………………………………101 oM~y8O
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 =9a2+ v0
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 wL?Up>fr
2.2.1 Needle-like variations of the refractive index ………………………………….115 a P
2.2.2 The principal idea of the method ………………………………………………119 4$&l`yWU+
2.2.3 Description of the method ……………………………………………………...124 <(lA
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Bibliography …...………………………………………….……………….………..……130
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