Basics of OPTICS OF MULTILAYER SYSTEMS W ZFV8 '
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Contents NugJjd56x
Preface……………………………………………………………………….………..……….4 y M\ 1n
Chapter 1 L` Qiu@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: [X~H Uk??
THEORY……………………………………………………………………………………….5 }cS3mJ
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 JBU
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1.1.1 Layered medium electromagnetic field equations………………………………...5 #m8Oy|Y9`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *q pmI9m
1.1.3 The Fresnel formulas ……………………………………………………………18 B\<zU
1.1.4 Other ways of determining amplitude transmittance and reflectance of the r *tGT_/6
layered medium…………………………………………………………………..19 B<0lif|
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 }F1^gN&QF
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Z , T TI>P
1.2.1 Matrix calculating method ………………………………………………………22 %/sf#8^m
1.2.2 Description of optical coating and presentation of calculation results…………..28 nY~CAo/:
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 cFH,fj
1.2.4 Approximate formulas…………………………………………………………...33 [9>1e
1.2.5 Other recurrent methods…………………………………………………………34 W6\s@)b;
1.2.6 The admittance phase plane……………………………………………………...38 B*? v` 6
1.3 Some common properties of multilayer coatings…………………………………….46 3J:!8Gmk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7J')o^MG
multilayer coating ……………………………………………………………….47 v$,9l+p/
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ^l iyWl
1.3.3 Transmittance and reflectance of the combination of two multilayer S B'.
subsystems ……………………………………………………………………....54 ]INbRytvc
1.4 The multilayer coatings optical properties: impact of variations in the layer cd EZ
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parameters……………………………………………………………………………...58 t`Hw q
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… p\!+j @H:
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 7v=Nh
coefficients: probability assessment method ……………………….…………...63 K}a[ ~
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .c BJA&/
variations ………………………………………………………………………...66 lYJ]W[!
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Ag?@fuk$J
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 f +F /`P%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 R%5\1!Fl=G
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Bj\0R mVa1
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <k^h&1J#g
central wavelength ………………………………………………………………80 %Rg8 4tz
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 IJ=~hBI
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Nf3Kz#!B
wavelength ………………………………………………………………………88 .@xwl}o$OL
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 M)-+j{<
Chapter 2 fe&K2C%bm
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 $TR[SMj
2.1 Synthesis methods based on merit function optimization …………………………...98 #n0P'@d, r
2.1.1 Merit function selection …………………………………………………………98 @BBqH&<`
2.1.2 Merit function optimization ……………………………………………………101 1?mQ
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 {)-%u8J\`N
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ! .!qJ%
2.2.1 Needle-like variations of the refractive index ………………………………….115 o/9 V1"
2.2.2 The principal idea of the method ………………………………………………119 +F`!
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2.2.3 Description of the method ……………………………………………………...124 Zcdt\;HKr
Bibliography …...………………………………………….……………….………..……130
