| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS piUfvw
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Contents d #- <=6
Preface……………………………………………………………………….………..……….4 7"_g X
Chapter 1 A`1/g{ Ha
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Y0OVzp9 b
THEORY……………………………………………………………………………………….5 xeHqC9Ou
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 HPWjNwM
1.1.1 Layered medium electromagnetic field equations………………………………...5 p4zV<qZ>e
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12
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1.1.3 The Fresnel formulas ……………………………………………………………18 E?f*Z {~,
1.1.4 Other ways of determining amplitude transmittance and reflectance of the @}N;C ..Y$
layered medium…………………………………………………………………..19 ! FnH ;
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 1<9m^9_ro
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 fm% Y*<Y"
1.2.1 Matrix calculating method ………………………………………………………22 (au 7w I{
1.2.2 Description of optical coating and presentation of calculation results…………..28 YI?y_S
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30
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1.2.4 Approximate formulas…………………………………………………………...33 &-Zg0T&tZ
1.2.5 Other recurrent methods…………………………………………………………34 gs|%3k |
1.2.6 The admittance phase plane……………………………………………………...38 u"n ~ 9!G
1.3 Some common properties of multilayer coatings…………………………………….46 80M4~'3
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 0 g(hY:
multilayer coating ……………………………………………………………….47 4a~9?}V :
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 IF*kLl?
1.3.3 Transmittance and reflectance of the combination of two multilayer aKCXV[PO
subsystems ……………………………………………………………………....54 k4-C*Gx$h
1.4 The multilayer coatings optical properties: impact of variations in the layer hMx/}Tw wt
parameters……………………………………………………………………………...58 dTP$7nfe
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… m; LeaD}0
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _zO, VL
coefficients: probability assessment method ……………………….…………...63 STB=# z
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 4d3PF`,H`
variations ………………………………………………………………………...66 ,G,T&W
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 m[u
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 V9m1n=r
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 [Os W
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 *Mqg_} 0Y
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the #PmF@
CHR
central wavelength ………………………………………………………………80 A!
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 D`.CXFI+U
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 .Isg1qrC
1.6.1 Common expressions for spectral coefficients of filter-type systems near central G"; yqG
wavelength ………………………………………………………………………88 EY!aiH6P
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 TO)wjF_
Chapter 2 e :.Xs
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^fb4g+ Au
2.1 Synthesis methods based on merit function optimization …………………………...98 rC<m6
2.1.1 Merit function selection …………………………………………………………98 +B '9!t4 2
2.1.2 Merit function optimization ……………………………………………………101 .x1EdfHed/
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 g!% csf
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ]}G (@9
2.2.1 Needle-like variations of the refractive index ………………………………….115 crC];LMl/
2.2.2 The principal idea of the method ………………………………………………119 D1lHq/
2.2.3 Description of the method ……………………………………………………...124 e}}xZ%$4|
Bibliography …...………………………………………….……………….………..……130
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