Basics of OPTICS OF MULTILAYER SYSTEMS y0_z_S#gO
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Contents Jwt_d }ns
Preface……………………………………………………………………….………..……….4 e-Ma8+X\
Chapter 1 ]L{diD 2G
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: '
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THEORY……………………………………………………………………………………….5 <<l1 zEf@
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 zSo(+ D
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1.1.1 Layered medium electromagnetic field equations………………………………...5 ]m <z
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 xh|<`>5
1.1.3 The Fresnel formulas ……………………………………………………………18 P}8cSX9
1.1.4 Other ways of determining amplitude transmittance and reflectance of the &Xh_`*]ox
layered medium…………………………………………………………………..19 bAS/cuZs
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 5-?*Boi>i
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 s@D/.X
1.2.1 Matrix calculating method ………………………………………………………22 <e'/z3TbRW
1.2.2 Description of optical coating and presentation of calculation results…………..28 {U"=}j(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 5u=> ~yK+
1.2.4 Approximate formulas…………………………………………………………...33 _{&bm E
1.2.5 Other recurrent methods…………………………………………………………34 o'J^kd`
1.2.6 The admittance phase plane……………………………………………………...38 :e rfs}I
1.3 Some common properties of multilayer coatings…………………………………….46 7 t Q?av
1.3.1 The relation between the characteristic matrix and spectral coefficients of a
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multilayer coating ……………………………………………………………….47 45A|KaVpg
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 p!>DA?vF
1.3.3 Transmittance and reflectance of the combination of two multilayer /l>!7
subsystems ……………………………………………………………………....54 F_ -}GN%
1.4 The multilayer coatings optical properties: impact of variations in the layer x,M8NTb*
parameters……………………………………………………………………………...58 >0E3Em<(}l
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… H[2W (q6
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral .OcI .1H [
coefficients: probability assessment method ……………………….…………...63 "DvhAEM
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter B]u !BBjC
variations ………………………………………………………………………...66 c"lblt5
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 8/T[dn
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 s ZPyEIXie
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 /(8"9Sfm
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 zmhL[1qj
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _lrvK99
central wavelength ………………………………………………………………80 U%)-_
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 =A{s,UP
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Zk~~`h
1.6.1 Common expressions for spectral coefficients of filter-type systems near central d.$0X/0
wavelength ………………………………………………………………………88 d.yATP
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 =z!/:M
Chapter 2 {uN-bl?o
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 T~8kKw
2.1 Synthesis methods based on merit function optimization …………………………...98 Y_nl9}&+C0
2.1.1 Merit function selection …………………………………………………………98 BU.O[ ?@64
2.1.2 Merit function optimization ……………………………………………………101 z1nK j\AM2
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 uj: 1_&g
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 {Y|?~h a#
2.2.1 Needle-like variations of the refractive index ………………………………….115 0+T:};]
2.2.2 The principal idea of the method ………………………………………………119 |[!7^tU*
2.2.3 Description of the method ……………………………………………………...124 M U:q`DRr
Bibliography …...………………………………………….……………….………..……130
