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简介 4<#ItQ( 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Hloe7+5UD X#&5?oq` 模型 p<r<Y% ISpV={$Zd 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 k-|g f1_; da Table 1. AZ眼睛模型的定义 Df4O~j$U"s 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. kBR=a%kG 8IlUbj 光源 YP02/*' jum"T\ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ]AY 4bm }) -V,\ y]jx-wc3O 图1. 光源和提示信息使用 tw$EwNI[ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 JU>~[yAP &}p\&4 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 h.vy SwF"j _VT{2`|}) 图2. 字母F光源的设定方法光 oDA'$]UL 3HrG^/ 图3. 字母F在视网膜上位置点列图 oWY3dc 视网膜的散射 #,#_" Z{^!z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 n>v1<^ =T[P Wa^Wn +r 图4. 视网膜朗伯散射设定 Z3TCi7,m 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 zq</(5H &s`)_P[ FvT4?7- 图5. 视网膜重点采样规格设定 'bl9fO4v 脚本 1-p#}VX #a}w&O"; 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: -KGJr M$EF 8 图6. 用户对话框的创建与编辑 aE 07# 图7. 用户对话框编辑器 "> Qxb.Y} 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 gV@xu)l 余下的脚本计算与屈光度有关的所有参数。 $JOz7j( >k"O3Pc@ 分析 i\IpS@/{-v bKS/T^UQ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 */K[B(G 2@a'n@- 图7. 字母F在视网膜上颜色分析 %.$!VTO" 脚本代码 q<E7qY+ k5\V:P=# Option Explicit 'Remove this to enable non-dimensioned variables to be used. Ja3#W
K l5w^rj Dim entity As T_ENTITY Lmjd,t Dim op As T_OPERATION $R#_c} Dim mat As T_MODELMATERIAL j4i$2ZT' Dim A As Double F4\:9ws Dim pupilDiam As Double 'QE8 Dim eID As Long )2).kL> Dim parID As Long )$^xbC#j`3 Dim count As Integer w]MI3_|'r( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #6@hVR. Dim tlens As Double, nlens As Double PNAvT$0LaZ Dim curv As Double, conic As Double [Z/P[370 Dim ok As Long bq7+l4CGTv ]B(}^N>WH Sub Main 6g-jhsW6 Q)aoc.f!v '用户输入对话框 L?u{v X Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |h $Gs2 TextBox 220,21,40,21,.TextBox1 'default: 0 ^r}Uu~A> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 x}a?B OKButton 40,91,90,21 wrJQkven- CancelButton 190,91,90,21 ruagJS)+ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %.
((4 6) TextBox 220,49,40,21,.TextBox2 'default: 4 nycJZ}f:wP End Dialog ~*EipxhstJ Dim dlg As UserDialog bP$e1I3` EUw4$Jt^p ok = Dialog (dlg) Aa1#Ew<r S3x^#83 If ok=0 Then 'cancel button was pressed xqk(id\& Print "Execution cancelled." /TbJCZ End !"phz&E5ah End If 6p;Pf9
f 7Z]?a 'Assign accommodation and pupil diameter & use defaults if field left empty tz65Tn_M If dlg.TextBox1 = "" Then >%6j -:S A = 0 'Default accommodation ("A45\5 Else L`M{bRl+1 A = CDbl(dlg.TextBox1) im<!JMI End If suQ`a_zJ C,;<SV2# If dlg.TextBox2 = "" Then K'8o'S_bF pupilDiam = 4 'Default pupil diameter >}.~Y#Ge Else G{.=27 pupilDiam = CDbl(dlg.TextBox2) 7202N?a
{ End If 8u[.s`^ CNuE9|W(vI Print " " dT1UYG}>j Print "Accommodation = " & A & " Diopters" s7E %Et Print "Pupil Diameter = " & pupilDiam & " mm" q@1A2L\Om zhE4:g9v ' Calculate new parameters with accommodation "j`T'%EV taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness xg%{p`` ZK{1z| Rant = 12.0 - 0.4*A 'Radius of anterior lens `o_i+?E CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 56."&0 5Mxl({oI] Rpost = -5.224557 + 0.2*A 'Radius of posterior lens RU.j[8N$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tvJl-&'N M2:3k tlens = 3.767 + 0.04*A 'Lens thickness d?U,}tv kdA]gpdw nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction mMZ=9 ?m tre`iCH~ 'Adjust parameters to account for accommodation YedF% \8Ewl|"N:u '************************************************************************* lh0G/8+C 'Aqueous thickness (Position of Lens) ?~^p:T '************************************************************************* %,N-M]Jf eID = FindFullName( "Geometry.Arizona Eye.Lens" ) KPK`C0mg@k GetCustomElement eID, entity WVyq$p/V Q\~#cLJ/
parID = FindFullName( "Geometry.Arizona Eye" ) 4`CO>Q 8/"uS ;yP ' Delete any shift(s) in z *}r6V"pH~ count = 0 y#ON=8l While GetOperationCount(eID)>count 99zMdo S GetOperation eID, count, op cw
BiT If op.Type="ShiftZ" Then 6jal5<H DeleteOperation eID,count |c]L]PU count=count-1 tr
8Q{ End If >Y3zO 2Cr count=count+1 W70BRXe04D Wend $H,9GIivD aIfB^M*c5 'Set new shift in 48GaZ@v op.Type = "ShiftZ" cJ,`71xop, op.val1 = taq 2zjY|g/ op.parent = parID + L5 AddOperation eID, op ]w8h#p Print "Set aqueous humor thickness = " & taq-0.55 Xp|$z ~ 3v~}hV/RUy '************************************************************************* a- /p/
I-% 'Radius and conic constant of anterior lens ,l)AYu!q4F '************************************************************************* [/cJc%{N eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8/9YR(H3H GetConic eID, entity, curv, conic Mb%[Qp60 RCGpZyl SetConic eID, entity, 1/Rant, CCant :)Nk Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant J:;nN-\j .w~L0( '************************************************************************* 7sJGB^vM 'Radius and conic constant of posterior lens 3t ]0 '************************************************************************* ^\PNjj*C i eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Sj'.)nz> GetConic eID, entity, curv, conic \?k"AtL n22OPvp SetConic eID, entity, 1/Rpost, CCpost f2$<4Hhmm Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost j62oA$z H%Sx*| '************************************************************************* u7u1lx>S 'Lens thickness (Position of posterior lens surface) ^6^A/]v '************************************************************************* 4kLTKm:G Q mz3GH@wg parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^W,x FwSV
\N+#' ' Delete any z-shift(s) m3b?f B count = 0 B\7 80p< While GetOperationCount(eID)>count h6gtO$A|p= GetOperation eID, count, op `X wKCI If op.Type="ShiftZ" Then O$&4{h` DeleteOperation eID,count u&Y1,:hiL count=count-1 `>$l2, End If
-+.-Ab7 count=count+1 oMZ|)(7C Wend U[l{cRT
af2yng 'Set new z-shift P0szY"} op.Type = "ShiftZ" o7 X5{ op.val1 = tlens WG*S:_? op.parent = parID Os|F AddOperation eID, op /SYzo4( Print "Set lens thickness = " & tlens ,HO@bCK ,`l8KRd '************************************************************************* RjQdlr6* 'Lens index of refraction !p"Ijz5 '************************************************************************* ]a=Bc~g91 eID = FindMaterial( "Lens" ) fyt`$y_E[ GetModelMaterial eID, mat ?9AtFT ,n+~S^r mat.Nd = nlens SQVyCxcX_ SetModelMaterial eID, mat fxk6 q$' Print "Set lens index of refraction = " & nlens ,!g%`@u E?P:!V=_ '************************************************************************* yE),GJ-m\< 'Pupil diameter O0#9D'{ '************************************************************************* _:,U$W eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _LSf
) -7l)mk 'Adjust pupil diameter (trimming volume inner hole) cn!Y7LVr L%O(
I SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" p^QB^HEV )OcG$H NK ' Adjust pupil location to just in front of the lens o5 eFLJ6 parID = FindFullName( "Geometry.Arizona Eye" ) e!~x-P5M` eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
rN^P// count = 0 ~,.}@XlgT. While GetOperationCount(eID)>count r6eApKZ>f6 GetOperation eID, count, op }7jg>3ng( If op.Type="ShiftZ" Then %7bZnK`C DeleteOperation eID,count t{)J#8:g count=count-1 BPzlt End If ?rgk count=count+1 )Dq/fW Wend YV0K&d op.Type = "ShiftZ" Fps.Fhm op.val1 = taq-0.01 ?rn#S8nNx< op.parent = parID 2r=A' AddOperation eID, op l6EDl0~r Hh1OD?N) Print "Set pupil diameter = " & pupilDiam <+c6CM$#}V :X6A9jmd 'Update AZ Eye subassembly Description e7.!=R{6 eID = FindFullName( "Geometry.Arizona Eye" ) ;eeu 9_$ GetEntity eID, entity =-qv[;%&6 entity.Description = "Accommodation = " & A & "D" P7GF"/ SetEntity eID, entity (7g1eEK% Q@lJ| Update x
p#+{} Print "DONE!" Ll L8Q bJE$> End Sub M(2c{TT i`1QR@11 如果屈光度是4,光瞳直径是4,则会输出如下数据: t~0}Emgp<( Y"&c . Accommodation = 4 Diopters tCdgtZm Pupil Diameter = 4 mm -IB~lw Set aqueous humor thickness = 2.81 W|FP j^*t Set anterior lens radius = 10.4 and conic constant = -2.375869 E}$K&<J'- Set posterior lens radius = -4.424557 and conic constant = -3.081019 &<P!o_+eb Set lens thickness = 3.927 v&EHp{8Qd Set lens index of refraction = 1.42672 @: s |X Set pupil diameter = 4 _YH)E^If DONE! YrR}55V, m{bw(+r (文章来源:讯技光电)
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