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简介 YV%y
KD z)tULnR8 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。 qwhDv+o 5Z;iK(>IX 模型 HxUJ 0Q \
-n&z;` 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。 p
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p Table 1. AZ眼睛模型的定义 ]S0=&x@, 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. uNKf!\Y @LSfP 光源 t,NE`LC _tlr8vL 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。 ,
wXixf2 O0l1AX" \jmT#Gt`9 图1. 光源和提示信息使用 >o:y.2yCe 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。 [n]C h\T}$jgfWm 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 QLxe1[qI kxQ al 图2. 字母F光源的设定方法光 M{z&h> s4uZ > 图3. 字母F在视网膜上位置点列图 w`GjQIA 视网膜的散射 :(A k: LbkQuq/d 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 }!uwWBw` n\GN}?4 ^*G
UcQ$ 图4. 视网膜朗伯散射设定 ?`=
<*{_o 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。 {K N7Y"AI Skl:~'W.&| uK%0,!q 图5. 视网膜重点采样规格设定 bg\9Lbjr 脚本 dvE~EZcS &( ZEs c 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: Aflf]G1 M1z ?E@kz 图6. 用户对话框的创建与编辑 :jy}V'bn$ 图7. 用户对话框编辑器 yi8AzUW
cW 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。 B.A;1VE5 余下的脚本计算与屈光度有关的所有参数。 x.9[c m-! |Ed?s 分析 FM=XoMP q wG&Z7C b 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |J"\~%8 e/uLBZ 图7. 字母F在视网膜上颜色分析 !a4`SjOgu 脚本代码 _WGWU7h !q~f;&rg Option Explicit 'Remove this to enable non-dimensioned variables to be used. c8N pk< 2Akh/pb Dim entity As T_ENTITY ]n!oa Dim op As T_OPERATION \#v(f2jPF Dim mat As T_MODELMATERIAL +4n}H}9l Dim A As Double $0cE iq?Hf Dim pupilDiam As Double x*!*2{ Dim eID As Long 8Ow#W5_3| Dim parID As Long \'r;1W Dim count As Integer 8%`h:fE Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double SmS6B5j\R Dim tlens As Double, nlens As Double ?AVnv(_ Dim curv As Double, conic As Double "yK)9F[9Mo Dim ok As Long \qDY0hIv t [x%8l,O
#l Sub Main th{ie2$ nf-6[dg '用户输入对话框 )8taMC:H^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9e7):ZupO TextBox 220,21,40,21,.TextBox1 'default: 0 _&N:%;9uD Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _}j6Pw' OKButton 40,91,90,21 % EYh*g{G CancelButton 190,91,90,21 sC ?e%B Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k~2FlRoC^ TextBox 220,49,40,21,.TextBox2 'default: 4 xouBBb= End Dialog /eBcPu"[Vb Dim dlg As UserDialog 5Z(q|nn7P -M+o; ok = Dialog (dlg) |RBL5,t^ gk}.LE If ok=0 Then 'cancel button was pressed
]D^zTl3=q Print "Execution cancelled." =I9hGj6 End a
*bc#!e End If /GO((v+J H?
%I((+ 'Assign accommodation and pupil diameter & use defaults if field left empty +jN)$Y3Ya If dlg.TextBox1 = "" Then +O1=Ao A = 0 'Default accommodation J!"m{ 8- Else x}f)P A = CDbl(dlg.TextBox1) vos-[$ End If a~k*Gd( >J,IxRGi If dlg.TextBox2 = "" Then 3!Mb<W.3 pupilDiam = 4 'Default pupil diameter :4>LtfA Else Pk8(2fAYk pupilDiam = CDbl(dlg.TextBox2) 6|Crc$4l End If rc}=`D` ()fYhk|W Print " " )LL.fPic Print "Accommodation = " & A & " Diopters" :UfaMe5 Print "Pupil Diameter = " & pupilDiam & " mm" >p3S,2SM D7v.Xq| ' Calculate new parameters with accommodation :io~{a#.2\ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness j[=P3Z0q ^C8f( Rant = 12.0 - 0.4*A 'Radius of anterior lens '<wZe.Q! CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens s{fL~}Yz i;J*9B_U Rpost = -5.224557 + 0.2*A 'Radius of posterior lens rD>q/,X=\ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens `
kZ"5}li Z"G?+gM@ tlens = 3.767 + 0.04*A 'Lens thickness ]2z
Gb5s" UFE~6"t( nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Tt{ft?H71 5?TjuGc 'Adjust parameters to account for accommodation ?o(Y\YJf ,27=i>> '************************************************************************* 6 w0r)
'Aqueous thickness (Position of Lens) "; ?^gA '************************************************************************* Bn
Nu/02.= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) mTa^At" GetCustomElement eID, entity Csm23QLsg) wHErF
#xo parID = FindFullName( "Geometry.Arizona Eye" ) ZQ~EaI9R h-@_.&P0e ' Delete any shift(s) in z d`KW]HJw count = 0 "oCXG`.k& While GetOperationCount(eID)>count +B
OuU# GetOperation eID, count, op {Yti If op.Type="ShiftZ" Then zh4m`}p DeleteOperation eID,count M5B?`mTl count=count-1 T)cbpkH4 End If 84-7!< 6i count=count+1 YifTC-Q; Wend m6
a@Y< -\~x^5K 'Set new shift in T( bFn? op.Type = "ShiftZ" 7/Mhz{o;W op.val1 = taq
EJO6k1 op.parent = parID [M:BJ%* AddOperation eID, op OSCe TkR Print "Set aqueous humor thickness = " & taq-0.55 :sekMNM 5,?Au '************************************************************************* YRP$tz+
_ 'Radius and conic constant of anterior lens @33-UP9o '************************************************************************* PciiDh~/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) +tFl GetConic eID, entity, curv, conic qgsKbsl 2<+9lk SetConic eID, entity, 1/Rant, CCant 2d-C}&}L\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant T8J[B( )L W_G'wU3R '************************************************************************* GwZ(3 'Radius and conic constant of posterior lens mdIa`OZr '************************************************************************* 6Vc&g eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) jiAN8t*P GetConic eID, entity, curv, conic <7sGA{ )WazbT@ SetConic eID, entity, 1/Rpost, CCpost v"smmQZik Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =ZN~*HLl} xn4-^2 '************************************************************************* T=->~@5 'Lens thickness (Position of posterior lens surface) S%m$LM]NCg '************************************************************************* a(`@u&]WZ qQUCK parID = FindFullName( "Geometry.Arizona Eye.Lens" ) s:#\U!>0` v/WvT!6V` ' Delete any z-shift(s) ].<B:]:, count = 0 G2}e@L0 While GetOperationCount(eID)>count AIFI@#3 GetOperation eID, count, op KZSvT{ If op.Type="ShiftZ" Then sYb( g'W*' DeleteOperation eID,count YV>]c9!q count=count-1 B>M @ ' End If -V)DKf"f count=count+1 Q'S"$^~{ Wend {z/Y~rf ,L} 'Set new z-shift K0O&-v0"1 op.Type = "ShiftZ" Ljjuf=] op.val1 = tlens !z]2+ op.parent = parID d%: AddOperation eID, op *
"Z5bKL Print "Set lens thickness = " & tlens <) \ ^5sO;vf '************************************************************************* B#K{Y$!v 'Lens index of refraction WD7IF+v '************************************************************************* td#B$$[ eID = FindMaterial( "Lens" ) &z(E-w/S GetModelMaterial eID, mat /G h?z Qs5^kddz= mat.Nd = nlens :v!e8kM\x SetModelMaterial eID, mat G F-\WD Print "Set lens index of refraction = " & nlens d}t7bgk'j e$3{URg '************************************************************************* 3,<$z1Jm 'Pupil diameter sox0:9Oqnf '************************************************************************* 54%@q[- eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;NHZD r2]KP(T8| 'Adjust pupil diameter (trimming volume inner hole) E9IU,P6a Nf<mgOAT1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %cl=n!T M_wj>NXZ ' Adjust pupil location to just in front of the lens j r<`@ parID = FindFullName( "Geometry.Arizona Eye" ) 1]i{b/ 4 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) As;@T$G count = 0 *|T]('xwC While GetOperationCount(eID)>count Pu=,L#+F N GetOperation eID, count, op L:ox$RU If op.Type="ShiftZ" Then $-}a<UFE; DeleteOperation eID,count <n)J~B^ count=count-1 [%alnY End If ,X05&'@Z count=count+1 U$fh ~w<[ Wend ([r4N#lx op.Type = "ShiftZ" ]c.1&OB7o op.val1 = taq-0.01 1'[RrJ$Q op.parent = parID k e
sg ]K AddOperation eID, op -r6cK,WVU ")t
^!x(v Print "Set pupil diameter = " & pupilDiam GEdWpYKS-` PE~umY] 'Update AZ Eye subassembly Description H<|ilL'fX eID = FindFullName( "Geometry.Arizona Eye" ) 3$u3ssOL GetEntity eID, entity 78}QaE entity.Description = "Accommodation = " & A & "D" qW1d;pt SetEntity eID, entity wE.CZ%f Vy:I[@6@+ Update '
DZYN {} Print "DONE!" \{HbL,s zq=X;}qYj End Sub sw={bUr6G` *v}8n95*2 如果屈光度是4,光瞳直径是4,则会输出如下数据: o"te7nBI "B~c/%#PH Accommodation = 4 Diopters ADTx _tE Pupil Diameter = 4 mm Nq`@ >Ml Set aqueous humor thickness = 2.81 PgeC\#;9 Set anterior lens radius = 10.4 and conic constant = -2.375869 "0Wi-52=V Set posterior lens radius = -4.424557 and conic constant = -3.081019 M7O5uW` Set lens thickness = 3.927 CWP),]#n Set lens index of refraction = 1.42672 EqN<""2 Set pupil diameter = 4 JumZ>\'p( DONE! Z`UwXp_s
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