| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS WZK
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Contents PbN3;c3
Preface……………………………………………………………………….………..……….4 4 (|yD;
Chapter 1 vJThU$s-
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ]-Lruq#
THEORY……………………………………………………………………………………….5 2 4X=5Aj
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 K ?YEoz'y[
1.1.1 Layered medium electromagnetic field equations………………………………...5 ]}~4J.Yn
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 "XB4yExy
1.1.3 The Fresnel formulas ……………………………………………………………18 k =| K|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?Cc :)
layered medium…………………………………………………………………..19 xVTo 4-[p
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Hz? ,#>{
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 2@ *<9-9
1.2.1 Matrix calculating method ………………………………………………………22 ay-9c2E
1.2.2 Description of optical coating and presentation of calculation results…………..28 yxY
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 TrQm]9 @
1.2.4 Approximate formulas…………………………………………………………...33 ~'{VaYk]v
1.2.5 Other recurrent methods…………………………………………………………34 }VZM,.w
1.2.6 The admittance phase plane……………………………………………………...38 1tyNR oET
1.3 Some common properties of multilayer coatings…………………………………….46 D-D # `
1.3.1 The relation between the characteristic matrix and spectral coefficients of a X+*<B(E
multilayer coating ……………………………………………………………….47 #G~wE*VR$
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 tWX7dspx/
1.3.3 Transmittance and reflectance of the combination of two multilayer i'iO H|s
subsystems ……………………………………………………………………....54 B!iFmkCy
1.4 The multilayer coatings optical properties: impact of variations in the layer 9C=~1>S
parameters……………………………………………………………………………...58 B
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ]_\AHnJ
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Hh\
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coefficients: probability assessment method ……………………….…………...63 ?sE@ ]]z
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter q#m!/wod
variations ………………………………………………………………………...66 4v>o%
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 jm+ blB^%K
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 T +(M8 qb
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ,z oB0([
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9BO|1 {
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Lz?*B$h
central wavelength ………………………………………………………………80 1wlVz#f.
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y:C)%cv}*
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 GI?PGAT
1.6.1 Common expressions for spectral coefficients of filter-type systems near central IqXBz.p
wavelength ………………………………………………………………………88 '(T mV#3
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 BPh" .R J
Chapter 2 9u?Eb~ #$
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 |+u+)C
2.1 Synthesis methods based on merit function optimization …………………………...98 T:6K?$y?
2.1.1 Merit function selection …………………………………………………………98 /B h >
2.1.2 Merit function optimization ……………………………………………………101 M$F{N
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Enu!u~1]F
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 TqXg e{ r
2.2.1 Needle-like variations of the refractive index ………………………………….115 u?H@C)P
2.2.2 The principal idea of the method ………………………………………………119 brj[c>ID
2.2.3 Description of the method ……………………………………………………...124 {N "*olx
Bibliography …...………………………………………….……………….………..……130
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