Basics of OPTICS OF MULTILAYER SYSTEMS Gh42qar`
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Contents a/`fJY6rR
Preface……………………………………………………………………….………..……….4 ZaXK=%z
Chapter 1 @: %}clZ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: "+Xwc+v^
THEORY……………………………………………………………………………………….5 |Q.?<T:wt=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 cs~
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1.1.1 Layered medium electromagnetic field equations………………………………...5 |$7!u DU8
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 }Ct_i'Ow
1.1.3 The Fresnel formulas ……………………………………………………………18 wQ(ME7 t
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 3cQTl5,
layered medium…………………………………………………………………..19 h/eKVRGs"
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 9OXrz}8C
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 1sn!!
1.2.1 Matrix calculating method ………………………………………………………22 HT kce,dQ
1.2.2 Description of optical coating and presentation of calculation results…………..28 zS|%+er~zO
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 t(Iy[-
1.2.4 Approximate formulas…………………………………………………………...33 X-~ Q
1.2.5 Other recurrent methods…………………………………………………………34 w#XE!8`
1.2.6 The admittance phase plane……………………………………………………...38 9I30UL m
1.3 Some common properties of multilayer coatings…………………………………….46 8>Ervi`
1.3.1 The relation between the characteristic matrix and spectral coefficients of a LNk
3=v2M
multilayer coating ……………………………………………………………….47 fs> 0{
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 0#sk ]Qz
1.3.3 Transmittance and reflectance of the combination of two multilayer J>X aQfzwU
subsystems ……………………………………………………………………....54 %#ms`"H
1.4 The multilayer coatings optical properties: impact of variations in the layer cGOE $nL
parameters……………………………………………………………………………...58 R/<
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… + S0A`rL
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral sOU_j4M{
coefficients: probability assessment method ……………………….…………...63 98o;_tU'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Ldt7?Y(V(
variations ………………………………………………………………………...66 ~~ )&? \N
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 kD MS7y<s
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Fk=_Q
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 --" ,}%-
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Mk,8v],-Tj
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 2MB\!fh
central wavelength ………………………………………………………………80 b^hCm`2w*
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Z2*hQ`eE
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 +=u*!6S
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 8* 6J\FE<p
wavelength ………………………………………………………………………88 /x-Ja[kL
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 YVu8/D@ o
Chapter 2 !i}G>*XH,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 fa5($jJ &
2.1 Synthesis methods based on merit function optimization …………………………...98 n'4D ;4
2.1.1 Merit function selection …………………………………………………………98 #8nF8J< 4
2.1.2 Merit function optimization ……………………………………………………101 JJ qX2B
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 `2r21rVntf
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 i&.F}bEi
2.2.1 Needle-like variations of the refractive index ………………………………….115 kFD-
2.2.2 The principal idea of the method ………………………………………………119 >{Lfrc1
2.2.3 Description of the method ……………………………………………………...124 <uv{/L
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Bibliography …...………………………………………….……………….………..……130
