Basics of OPTICS OF MULTILAYER SYSTEMS #m8sK(#lo
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Contents - n6jG}01b
Preface……………………………………………………………………….………..……….4 XDD <oo
Chapter 1 y/@iT 8$rp
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: sst,dA V$
THEORY……………………………………………………………………………………….5 <Jp1 A#
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 #rYENR[
1.1.1 Layered medium electromagnetic field equations………………………………...5 ]wuy_+$
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ;S/7 h6
1.1.3 The Fresnel formulas ……………………………………………………………18 Jll-X\O`-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the n D,{3B#
layered medium…………………………………………………………………..19 *,\` o~
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 .%0ne:5
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 $rG< uO
1.2.1 Matrix calculating method ………………………………………………………22 YJ2ro-X
1.2.2 Description of optical coating and presentation of calculation results…………..28 pyW u9
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 xUYo w
1.2.4 Approximate formulas…………………………………………………………...33 hGP1(pH.
1.2.5 Other recurrent methods…………………………………………………………34 I&1!v8
1.2.6 The admittance phase plane……………………………………………………...38 [B?z1z8l
1.3 Some common properties of multilayer coatings…………………………………….46 i!MwBYk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a hWcTI{v
multilayer coating ……………………………………………………………….47 L N!W(n(
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 V_L[P9
1.3.3 Transmittance and reflectance of the combination of two multilayer %TK&)Q% h5
subsystems ……………………………………………………………………....54 =V^@%YIn
1.4 The multilayer coatings optical properties: impact of variations in the layer zb2K;%Qs+f
parameters……………………………………………………………………………...58 f(u&XuZ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… En9R>A; `
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral <uF [,
coefficients: probability assessment method ……………………….…………...63 :J(sXKr[C
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter GH3#E*t+[
variations ………………………………………………………………………...66 B[xR-6phW
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3DoRE2}
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )45_]tk >
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 &P n]
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 IG / $!* E
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 6d{j0 ?mM
central wavelength ………………………………………………………………80 XS 0V:<+,
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 9)yG.9d1
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 R ^Bk]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 1| xN%27>
wavelength ………………………………………………………………………88 =&0U`P$`
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Gm&2R4 )EP
Chapter 2 9!t4>
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 }~*rx7 p
2.1 Synthesis methods based on merit function optimization …………………………...98 w6EI{
2.1.1 Merit function selection …………………………………………………………98 X7e/:._SAH
2.1.2 Merit function optimization ……………………………………………………101 hmGdjw t$
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 v'nHFC+p
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Uh+jt,RB`
2.2.1 Needle-like variations of the refractive index ………………………………….115 `Ei"_ W
2.2.2 The principal idea of the method ………………………………………………119 PqhlXqX9
2.2.3 Description of the method ……………………………………………………...124 aii'}c
Bibliography …...………………………………………….……………….………..……130
