| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS cd3;uB4\,
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Contents _I<LB0kgf.
Preface……………………………………………………………………….………..……….4 gu|cQ2xV
Chapter 1 (;T g1$
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: iR sK; )<
THEORY……………………………………………………………………………………….5 ? f>pKe
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 4cQ| "sOzD
1.1.1 Layered medium electromagnetic field equations………………………………...5 V'm4DR#M
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 1@6FV x
1.1.3 The Fresnel formulas ……………………………………………………………18 Cj3C% W
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~K ll.
layered medium…………………………………………………………………..19 ]`H8r y2
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 \ Q E?.Fx
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 t{g7 : A
1.2.1 Matrix calculating method ………………………………………………………22 90 [?)s
1.2.2 Description of optical coating and presentation of calculation results…………..28 xwe^_7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ;RW0 24
1.2.4 Approximate formulas…………………………………………………………...33 Y-y<gW
1.2.5 Other recurrent methods…………………………………………………………34 4PDxmH]y
1.2.6 The admittance phase plane……………………………………………………...38 pe@j`Sm:Ej
1.3 Some common properties of multilayer coatings…………………………………….46 =ec"G2$?"
1.3.1 The relation between the characteristic matrix and spectral coefficients of a |x$2- RUP
multilayer coating ……………………………………………………………….47 j" ~gEGfK
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 m0 [JiwPI
1.3.3 Transmittance and reflectance of the combination of two multilayer '@3Kq \/
subsystems ……………………………………………………………………....54 ;Q8LA",5d
1.4 The multilayer coatings optical properties: impact of variations in the layer *-lw2M9V
parameters……………………………………………………………………………...58 9TZ4ffXV*
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v#`7,::
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral t /Y)% N
coefficients: probability assessment method ……………………….…………...63 Ow f:Kife
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ? ht;ZP
variations ………………………………………………………………………...66 ;($" _h
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 "4[8pZO/
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 _7 P#?:h
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 N2/t
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 R0DWjN$j
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the , I^:xw_
central wavelength ………………………………………………………………80 riz[ AAB
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 alz2F.%Y
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 na-mh
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central y~ -dQ7r
wavelength ………………………………………………………………………88 r.#"he_6!.
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 k%2Rv4)hU
Chapter 2 DVLF8]5
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 oJ`cefcWo
2.1 Synthesis methods based on merit function optimization …………………………...98 jp| 1S^b
2.1.1 Merit function selection …………………………………………………………98 WIkr0 k
2.1.2 Merit function optimization ……………………………………………………101 vAH `tPi>
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 d@#wK~I
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 N}5'Hk4+
2.2.1 Needle-like variations of the refractive index ………………………………….115 c$AwJhl^]
2.2.2 The principal idea of the method ………………………………………………119 @t eNT"
2.2.3 Description of the method ……………………………………………………...124 X|wg7>kh*`
Bibliography …...………………………………………….……………….………..……130
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