Basics of OPTICS OF MULTILAYER SYSTEMS W{6QvQD8
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Contents 3q]0gU&??
Preface……………………………………………………………………….………..……….4 I,?NYIG"(
Chapter 1 _H+]G"k/r
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: o0H^J,6gV
THEORY……………………………………………………………………………………….5 4) 8k?iC*
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Vk6 c^/v
1.1.1 Layered medium electromagnetic field equations………………………………...5 km %r{
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *6s_7{;
1.1.3 The Fresnel formulas ……………………………………………………………18 e={O&9Z
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2I.FSR_G?
layered medium…………………………………………………………………..19 ` H'G"V
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 )UR$VL
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 #VQZ"7nI@
1.2.1 Matrix calculating method ………………………………………………………22 A4j ,]hOD
1.2.2 Description of optical coating and presentation of calculation results…………..28 SoIK<*J
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 vXJs.)D7
1.2.4 Approximate formulas…………………………………………………………...33 Jf^3nBZ
1.2.5 Other recurrent methods…………………………………………………………34 @2Z|\ojJ
1.2.6 The admittance phase plane……………………………………………………...38 wT@Z|.)
1.3 Some common properties of multilayer coatings…………………………………….46 x;mw?B[
1.3.1 The relation between the characteristic matrix and spectral coefficients of a yFE0a"0y
multilayer coating ……………………………………………………………….47 $(1t~u<17
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 a*M|_&MH*
1.3.3 Transmittance and reflectance of the combination of two multilayer }<Ydj .85
subsystems ……………………………………………………………………....54 vl (``5{
1.4 The multilayer coatings optical properties: impact of variations in the layer '(]W tx%9"
parameters……………………………………………………………………………...58 m#+0m!
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… L$ T2 bul
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral c &c
coefficients: probability assessment method ……………………….…………...63 RXXHg
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 4
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variations ………………………………………………………………………...66 `,O7S9]R+
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 frc AXh9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 a~2Jf @I3
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 A}(xH`A
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 xW"O|x$6
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the VwR\"8r3
central wavelength ………………………………………………………………80 m[%356u
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 :!i=g +e]
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 X}#vt?mu
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 8@3=SO
wavelength ………………………………………………………………………88 `^#Rwn#
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ;MfqI/B{
Chapter 2 }s2CN D
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^B.Z 3Y
2.1 Synthesis methods based on merit function optimization …………………………...98 e1[ReZW
2.1.1 Merit function selection …………………………………………………………98 N XB8u6
2.1.2 Merit function optimization ……………………………………………………101 A1zRzg4 I
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 TOiLv.Dor
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 yzEyOz @Q
2.2.1 Needle-like variations of the refractive index ………………………………….115 \3vQXt\dM$
2.2.2 The principal idea of the method ………………………………………………119 fRNj *bIV
2.2.3 Description of the method ……………………………………………………...124 imOIO[<;
Bibliography …...………………………………………….……………….………..……130
