Basics of OPTICS OF MULTILAYER SYSTEMS s'~_pP
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Preface……………………………………………………………………….………..……….4 ^>g+:?x
Chapter 1 KMoRMCT
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Cd|V<BB9
THEORY……………………………………………………………………………………….5 &z1r$X.AW
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 M9bb, `X>Q
1.1.1 Layered medium electromagnetic field equations………………………………...5 -BQM i0
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 I \ vu?$w
1.1.3 The Fresnel formulas ……………………………………………………………18 z ;
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the 0lmoI4bW}s
layered medium…………………………………………………………………..19 l4;/[Q>Z
1.1.5 Transmittance, reflectance and absorptance …………………………………….20
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ru ' Xet
1.2.1 Matrix calculating method ………………………………………………………22 CzNSJVE5
1.2.2 Description of optical coating and presentation of calculation results…………..28 _6=6 b!hD
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ]7dm`XV
1.2.4 Approximate formulas…………………………………………………………...33 /wCP(1Mw
1.2.5 Other recurrent methods…………………………………………………………34 L8 R|\Bx
1.2.6 The admittance phase plane……………………………………………………...38 r(cS{oni
1.3 Some common properties of multilayer coatings…………………………………….46 p+9vSM #
1.3.1 The relation between the characteristic matrix and spectral coefficients of a &~$^a1D6
multilayer coating ……………………………………………………………….47 ix7N q7!N
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 c?<FMb3]
1.3.3 Transmittance and reflectance of the combination of two multilayer 4~G9._
subsystems ……………………………………………………………………....54 :k Y][_
1.4 The multilayer coatings optical properties: impact of variations in the layer {T:2+iS9:
parameters……………………………………………………………………………...58 <]CO }r
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $ZQP f
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ;"joebZ/
coefficients: probability assessment method ……………………….…………...63 U]e;=T:3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter A`X$jpAn&
variations ………………………………………………………………………...66 8
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 \P{VJ^) 0
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 bE]2:~
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 5Z`f)qE
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Ae`K 9
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the \:-; {
central wavelength ………………………………………………………………80 n~K_|
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 !n)2HDYhx,
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 n/^wzG
1.6.1 Common expressions for spectral coefficients of filter-type systems near central s|EP/=9i
wavelength ………………………………………………………………………88 \i`/k(
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 n6L}#aZG
Chapter 2 ) W *S6}A
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 _4.`$n/Z
2.1 Synthesis methods based on merit function optimization …………………………...98 ]<z>YyBA
2.1.1 Merit function selection …………………………………………………………98 "hs`Y4U
2.1.2 Merit function optimization ……………………………………………………101 J,+|
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Nz5gu.a6{L
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Q3z-v&^E9
2.2.1 Needle-like variations of the refractive index ………………………………….115 e7vPi QCc
2.2.2 The principal idea of the method ………………………………………………119 Zf?>:P
2.2.3 Description of the method ……………………………………………………...124 % G\rL.H|
Bibliography …...………………………………………….……………….………..……130
