Basics of OPTICS OF MULTILAYER SYSTEMS GjG3aqP&!
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Contents _
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Preface……………………………………………………………………….………..……….4 r/ f;\w7
Chapter 1 ?8/h3xV;
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: u&bU !ZI
THEORY……………………………………………………………………………………….5 I-"{m/PEdg
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 h#nQd=H<g#
1.1.1 Layered medium electromagnetic field equations………………………………...5 YJ$
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 [t'"4
1.1.3 The Fresnel formulas ……………………………………………………………18 l"8YI sir
1.1.4 Other ways of determining amplitude transmittance and reflectance of the s,x]zG"
layered medium…………………………………………………………………..19 g7-K62bb
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 1L7,x @w
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 yL-L2
1.2.1 Matrix calculating method ………………………………………………………22 ] fB{
1.2.2 Description of optical coating and presentation of calculation results…………..28 iI7~9SCE
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 VCO/s9AL
1.2.4 Approximate formulas…………………………………………………………...33 A\Gw+l<h,
1.2.5 Other recurrent methods…………………………………………………………34 N 5DS-gv
1.2.6 The admittance phase plane……………………………………………………...38 N%+M+zEJ
1.3 Some common properties of multilayer coatings…………………………………….46 f_8~b0`
1.3.1 The relation between the characteristic matrix and spectral coefficients of a K%;yFEZ
multilayer coating ……………………………………………………………….47 %|>i2
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 L8Q!6oO=<
1.3.3 Transmittance and reflectance of the combination of two multilayer <Vb{QOgc;
subsystems ……………………………………………………………………....54 # 4>F%_
1.4 The multilayer coatings optical properties: impact of variations in the layer 3OlY Ml
parameters……………………………………………………………………………...58 5" U7I{\
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… +fN0> @s
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral u.6%n. g
coefficients: probability assessment method ……………………….…………...63 DP_ \%(A
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter WW=7QC i
variations ………………………………………………………………………...66 v#xF;@G
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3$54 *J
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Tx_ LH"8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 <*P1 Sd.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 l<+k[@Vox
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the VbjW$?
central wavelength ………………………………………………………………80 F ceT'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 &0ra a
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 q`hg@uwA{`
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ]Ea-?IhD
wavelength ………………………………………………………………………88 $ }53f'QjW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 yyc&'J
Chapter 2 :nI.Qa'"H
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 2ip~qZNw><
2.1 Synthesis methods based on merit function optimization …………………………...98 *6L^A`_1]
2.1.1 Merit function selection …………………………………………………………98 bu-
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2.1.2 Merit function optimization ……………………………………………………101 0dW1I|jR
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 gK /K Z8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 `F#KXk
2.2.1 Needle-like variations of the refractive index ………………………………….115 {8Ll\ j@ "
2.2.2 The principal idea of the method ………………………………………………119 `m5iZxhw
2.2.3 Description of the method ……………………………………………………...124 Tb^9J7]
Bibliography …...………………………………………….……………….………..……130
