Basics of OPTICS OF MULTILAYER SYSTEMS $~hdm$
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Contents J[+Tj @n'
Preface……………………………………………………………………….………..……….4 Jk~UEqr+
Chapter 1 &Q+]t"OA!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: #Y: ~UVV
THEORY……………………………………………………………………………………….5 wz@/5c/u
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6=BZ~e d
1.1.1 Layered medium electromagnetic field equations………………………………...5 uE"2kn
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 CRd_}
1.1.3 The Fresnel formulas ……………………………………………………………18 B%(K0`G#X
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 3DI^y` av
layered medium…………………………………………………………………..19 Jmy)J!ib*
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 Ctj8tK$D
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Si[eAAd'
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1.2.1 Matrix calculating method ………………………………………………………22 o @@_J@}#
1.2.2 Description of optical coating and presentation of calculation results…………..28 kI]=&Rw
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Yoe l es-
1.2.4 Approximate formulas…………………………………………………………...33 * S{\#s
1.2.5 Other recurrent methods…………………………………………………………34 QS%,7'EG
1.2.6 The admittance phase plane……………………………………………………...38 &0i71 !Oy
1.3 Some common properties of multilayer coatings…………………………………….46 W&LBh% "g
1.3.1 The relation between the characteristic matrix and spectral coefficients of a % IPyCEJD
multilayer coating ……………………………………………………………….47 HMQ 'b(a'
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 J;"nm3[.q
1.3.3 Transmittance and reflectance of the combination of two multilayer !y k7HaP
subsystems ……………………………………………………………………....54 |y'b21 7t
1.4 The multilayer coatings optical properties: impact of variations in the layer i 63?"
parameters……………………………………………………………………………...58 5bF5~D(E
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ;\q<zO@x
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral =Y:5,.U
coefficients: probability assessment method ……………………….…………...63 MsSoX9A{D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 'bG1U`v=3
variations ………………………………………………………………………...66 6O]Xhe0d@
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 T+3k$G[e /
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {MA@ A5
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 m_~y
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vB]3Xb3a
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the CARq^xI-
central wavelength ………………………………………………………………80 ,%.:g65%
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 #<D@3ScC
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 S]tkz*w0*
1.6.1 Common expressions for spectral coefficients of filter-type systems near central .;cxhgU
wavelength ………………………………………………………………………88 S54gqc1S]
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !;ZBL;qY9
Chapter 2 v5P*<U Ax
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 6{lG1\o
2.1 Synthesis methods based on merit function optimization …………………………...98 0LZ=`tI
2.1.1 Merit function selection …………………………………………………………98 JIB?dIN
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2.1.2 Merit function optimization ……………………………………………………101 \;'_|bu3 .
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Cd$dn HVh
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 (xjqB{U
2.2.1 Needle-like variations of the refractive index ………………………………….115 sf<Q#ieTxY
2.2.2 The principal idea of the method ………………………………………………119 `\nON
2.2.3 Description of the method ……………………………………………………...124 Q>##hG:m
Bibliography …...………………………………………….……………….………..……130
