Basics of OPTICS OF MULTILAYER SYSTEMS ?M} W ;Z
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Contents TFQ X} kr]
Preface……………………………………………………………………….………..……….4 \>DMN #
Chapter 1 m@Q%)sc )
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: T3_3k. ,|
THEORY……………………………………………………………………………………….5 !08\w@
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 q':P9 o*N?
1.1.1 Layered medium electromagnetic field equations………………………………...5 8wi2&j _
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?; bsg 9
1.1.3 The Fresnel formulas ……………………………………………………………18 P^)J^{r
1.1.4 Other ways of determining amplitude transmittance and reflectance of the PnUYL.v
layered medium…………………………………………………………………..19 Rk8oshS+2
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 _^k9!V jo
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 l_E S $%d
1.2.1 Matrix calculating method ………………………………………………………22 . |VWYN
1.2.2 Description of optical coating and presentation of calculation results…………..28 ,\DSi&T
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Vx~N`|yY
1.2.4 Approximate formulas…………………………………………………………...33 R7
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1.2.5 Other recurrent methods…………………………………………………………34 ![ce=9@t<
1.2.6 The admittance phase plane……………………………………………………...38 CJ~ gE"
1.3 Some common properties of multilayer coatings…………………………………….46 oEuV&m|yX
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 1MPn{#F f
multilayer coating ……………………………………………………………….47 z6Xn9
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 q-3e^-S*
1.3.3 Transmittance and reflectance of the combination of two multilayer &g r)U3w
subsystems ……………………………………………………………………....54 a(s% 3"*Q
1.4 The multilayer coatings optical properties: impact of variations in the layer %3@a|#g
parameters……………………………………………………………………………...58 s"x iGp9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… f]*TIYicc
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8HaBil
coefficients: probability assessment method ……………………….…………...63 7` G
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 67{3/(`x
variations ………………………………………………………………………...66 \Wn0,%x2
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }jI=*
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 skeXsls
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Rn d.<jz+Y
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %8]~+ #]p
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Lc?q0x^s
central wavelength ………………………………………………………………80 3c|u2P l
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 9EU0R
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ~\QN.a
1.6.1 Common expressions for spectral coefficients of filter-type systems near central dBG5 IOD
wavelength ………………………………………………………………………88 7xlarns
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 -Z<V? SFOK
Chapter 2 3m]8>1e1"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 C}D\^(nLu.
2.1 Synthesis methods based on merit function optimization …………………………...98 AnD#k ]
2.1.1 Merit function selection …………………………………………………………98 |{j\7G*5
2.1.2 Merit function optimization ……………………………………………………101 #$ ?!P1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 dJf#j?\[
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 TEEt]R-y
2.2.1 Needle-like variations of the refractive index ………………………………….115 xfFsW^w
2.2.2 The principal idea of the method ………………………………………………119 zi r?13N7
2.2.3 Description of the method ……………………………………………………...124 h)o5j-M>4
Bibliography …...………………………………………….……………….………..……130
