Basics of OPTICS OF MULTILAYER SYSTEMS zqH G2:MN"
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Contents {MRXK nm;e
Preface……………………………………………………………………….………..……….4 9^L{)t>
Chapter 1 Pz^C3h$5_
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ') Q
THEORY……………………………………………………………………………………….5 ~'V&[]nh8
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5
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1.1.1 Layered medium electromagnetic field equations………………………………...5 YpOcLxFL
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 4wMZNa<Sx
1.1.3 The Fresnel formulas ……………………………………………………………18 )[S#:PP
1.1.4 Other ways of determining amplitude transmittance and reflectance of the tk)J E^'
layered medium…………………………………………………………………..19 KuRJo ]
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ,i jB3J
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 &SG5 f[
1.2.1 Matrix calculating method ………………………………………………………22 ZaBmH|k
1.2.2 Description of optical coating and presentation of calculation results…………..28 2Z-[x9t
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 !/ a![Ne
1.2.4 Approximate formulas…………………………………………………………...33 HA J[Y3d<
1.2.5 Other recurrent methods…………………………………………………………34 {Gr"lOi*@
1.2.6 The admittance phase plane……………………………………………………...38 {/FdrS
1.3 Some common properties of multilayer coatings…………………………………….46 cP",szcY
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Z%Pv,h'Q
multilayer coating ……………………………………………………………….47 ;^T Sla+t+
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 &^U T
1.3.3 Transmittance and reflectance of the combination of two multilayer PNz ]L
subsystems ……………………………………………………………………....54 ?8do4gT+1
1.4 The multilayer coatings optical properties: impact of variations in the layer ]xkh"j+W
parameters……………………………………………………………………………...58 =@nE :uto]
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v 8YF+N
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 6HguZ_jC
coefficients: probability assessment method ……………………….…………...63 Q>q-6/|UX
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 5hHLC7tT9
variations ………………………………………………………………………...66 y H (3 m#
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?KB]
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 BbM/Rd1tAm
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 @D i!~ e6
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 K'}I?H~P_
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ,#cz x3?4
central wavelength ………………………………………………………………80 h<Ct[46,S
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 (rc 7Cp3
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 l^XOW- ;u
1.6.1 Common expressions for spectral coefficients of filter-type systems near central d
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wavelength ………………………………………………………………………88 ;PB_ @Zg
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 -e_|^T"
Chapter 2 Z
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 m^\&v0
2.1 Synthesis methods based on merit function optimization …………………………...98 g[R4/]K^$
2.1.1 Merit function selection …………………………………………………………98 }= wor~
2.1.2 Merit function optimization ……………………………………………………101 @M OaXe
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 1 0zw}1x
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 jo?[M
2.2.1 Needle-like variations of the refractive index ………………………………….115 o[1#)&
2.2.2 The principal idea of the method ………………………………………………119 Q 5hOVD%
2.2.3 Description of the method ……………………………………………………...124 b9ud8wLE[
Bibliography …...………………………………………….……………….………..……130
