Basics of OPTICS OF MULTILAYER SYSTEMS lRn>/7sg$
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Contents .a?GC(
Preface……………………………………………………………………….………..……….4
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Chapter 1 h
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS:
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THEORY……………………………………………………………………………………….5 p%8y!^g
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 [WuN?H
1.1.1 Layered medium electromagnetic field equations………………………………...5 7iT#dpF/A
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 4; y*y tY*
1.1.3 The Fresnel formulas ……………………………………………………………18 SK#; /fav6
1.1.4 Other ways of determining amplitude transmittance and reflectance of the uK1DC i
layered medium…………………………………………………………………..19 <t\!g
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 b@ "#A8M
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 _I+QInD ;)
1.2.1 Matrix calculating method ………………………………………………………22 G,3.'S,7
1.2.2 Description of optical coating and presentation of calculation results…………..28 *i?#hTw
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 RX \%R
1.2.4 Approximate formulas…………………………………………………………...33 [<rV
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1.2.5 Other recurrent methods…………………………………………………………34 .liVlo@
1.2.6 The admittance phase plane……………………………………………………...38 PF~w$ eeQ
1.3 Some common properties of multilayer coatings…………………………………….46 ^,*!Qk<c
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ,'Zs")Y dp
multilayer coating ……………………………………………………………….47 SN' j?-
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 `B-jwVrN(
1.3.3 Transmittance and reflectance of the combination of two multilayer rUmaKh?v|X
subsystems ……………………………………………………………………....54 \ W4|.[
1.4 The multilayer coatings optical properties: impact of variations in the layer f@rR2xZoQ
parameters……………………………………………………………………………...58 ~x4] ^XS
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… lp+Uo x
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8Q4 yllv4
coefficients: probability assessment method ……………………….…………...63 ~U}0=lRVS
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter E9<oA.
variations ………………………………………………………………………...66 *: }9(8d
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 #% 5[8~&
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 $MhfGMk!'
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 N3"O#C
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ]O]6O%.ao
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the N z 1u:D]
central wavelength ………………………………………………………………80 >{R+j4%
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 rrz^LD
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 N.(wR
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 'A2^K5`3
wavelength ………………………………………………………………………88 yzWVUqtXm
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 @` 5P^H7
Chapter 2 NAg m?d
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Bre:_>*
2.1 Synthesis methods based on merit function optimization …………………………...98 dT?mMTKn+
2.1.1 Merit function selection …………………………………………………………98 3'2>3Y/7Bb
2.1.2 Merit function optimization ……………………………………………………101 +@G#Z3;l!
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 '8Wu9 phT
2.2.1 Needle-like variations of the refractive index ………………………………….115 s`#g<_ {X
2.2.2 The principal idea of the method ………………………………………………119 "d"6.ND
2.2.3 Description of the method ……………………………………………………...124 ZB+~ 0 [C
Bibliography …...………………………………………….……………….………..……130
