| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS 9cJzL"yi
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Contents N e^md
Preface……………………………………………………………………….………..……….4 !!NVx\a
Chapter 1 2=X\G~a
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ^j "*-) R
THEORY……………………………………………………………………………………….5 yQkj4v{
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 dA;f`Bi;Q
1.1.1 Layered medium electromagnetic field equations………………………………...5 q&.SB`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 3GkVMY I
1.1.3 The Fresnel formulas ……………………………………………………………18 Dps0$f c
1.1.4 Other ways of determining amplitude transmittance and reflectance of the F<'@T,LVc
layered medium…………………………………………………………………..19 -p|@En n
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 . }QR~IR'
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 L;a> J
1.2.1 Matrix calculating method ………………………………………………………22 }"?v=9.G
1.2.2 Description of optical coating and presentation of calculation results…………..28 %xE9vN;
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 *ujn+0)[
1.2.4 Approximate formulas…………………………………………………………...33 `mU'{
1.2.5 Other recurrent methods…………………………………………………………34 [[{y?-U
1.2.6 The admittance phase plane……………………………………………………...38 XWQp-H.
1.3 Some common properties of multilayer coatings…………………………………….46 S|U/m m
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;x.x j/7
multilayer coating ……………………………………………………………….47 lNtZd?=>
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 '%&i #Eb
1.3.3 Transmittance and reflectance of the combination of two multilayer O=wA/T=w?
subsystems ……………………………………………………………………....54 VH&6Tm1
1.4 The multilayer coatings optical properties: impact of variations in the layer 'Wv=mBEf Z
parameters……………………………………………………………………………...58 Z!Y ^i N
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Eeem y *U
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral @+L ZSd+I
coefficients: probability assessment method ……………………….…………...63 Jj:4l~b,w
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter w!{g^*R+!
variations ………………………………………………………………………...66 _h#SP+>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 0) }bJ,5/
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 4%#C _pE9
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^+CTv
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4zyy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the X9^a:7(
central wavelength ………………………………………………………………80 D]nVhOg|
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 tWkD@w`Lnn
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 {}ks[%,_\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central *c} MI
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wavelength ………………………………………………………………………88 +R}(t{ b#
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 B|#*I[4`w@
Chapter 2 HhfuHZ<
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Yc+0 OBH[
2.1 Synthesis methods based on merit function optimization …………………………...98 Vw7NLTE}`
2.1.1 Merit function selection …………………………………………………………98 %;0Llxf "
2.1.2 Merit function optimization ……………………………………………………101 eup#.#J
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E]PHO\f-m}
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ^J0*]k%
2.2.1 Needle-like variations of the refractive index ………………………………….115 !2oe;q2X[G
2.2.2 The principal idea of the method ………………………………………………119 OyVdQ".
2.2.3 Description of the method ……………………………………………………...124 3R pD Il`0
Bibliography …...………………………………………….……………….………..……130
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