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简介 3e47UquZ 0#Pa;( 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。 ,c$tKj5ulQ ?e4H{Y/M 模型 6-tIe_5 Z2`M8xEiH 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 7l/lY-zO M!mw6';k Table 1. AZ眼睛模型的定义 =+Odu 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. O(2c_! d BqHqS 光源 W)J5[p? s]6;*mI2 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 hmOGteAf- ]\A=[T^ 9`
UbsxFl 图1. 光源和提示信息使用 `-P1Y 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 )8rF'pxI ?Js4\X!uJ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 .5!`wwVi tP*GYWI48 图2. 字母F光源的设定方法光 .w@B )f* !.q99DB 图3. 字母F在视网膜上位置点列图 `''y,{Fs 视网膜的散射 ti6X=@ P: +WR?<*_ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 8!!h6dQgI f=Pn,.>tIz 94dd )/a 图4. 视网膜朗伯散射设定 S ~h*U2 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 fe`_0lxj u/S>*E !G[%; d 图5. 视网膜重点采样规格设定 v=hn# U 脚本 Qk>U=]U #qF1z}L( 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: [q3zs_nz mVYfyLZ,( 图6. 用户对话框的创建与编辑 5p}j{f 图7. 用户对话框编辑器 m%[/w wL 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 4vN:Kj 余下的脚本计算与屈光度有关的所有参数。 3RGmmX"?G \xl$z*zI 分析 lVq5>:'}^; 73.+0x 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ^,^MW ^xNzppz`]C 图7. 字母F在视网膜上颜色分析 !
}e75=x 脚本代码 U*\K<fw 5Rs#{9YE Option Explicit 'Remove this to enable non-dimensioned variables to be used. X<C fy K$qY^oyQFw Dim entity As T_ENTITY N6u>V~i Dim op As T_OPERATION _6,\;"it?8 Dim mat As T_MODELMATERIAL #-f9>S9_ Dim A As Double tA< UkPT Dim pupilDiam As Double x*'H@!!G Dim eID As Long D84&=EpVZ Dim parID As Long F7*)u-4Yn Dim count As Integer X"q[rsB Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MI(#~\Y~P Dim tlens As Double, nlens As Double cUG^^3! Dim curv As Double, conic As Double & C)1( Dim ok As Long G,$nq4 ercXw7{ Sub Main T*0;3&sA %~M* <pN '用户输入对话框 Nj2l>[L; Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z:N;>.3i TextBox 220,21,40,21,.TextBox1 'default: 0 'm6bfS^T Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 n~\; +U OKButton 40,91,90,21 C"**>OGe CancelButton 190,91,90,21 !DSm[Z1 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ]
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<0 TextBox 220,49,40,21,.TextBox2 'default: 4 j[A(@w" End Dialog 7rRI-wZ Dim dlg As UserDialog B'(zhjV hI*v)c ok = Dialog (dlg) @M-w8!.~ K/N{F\ If ok=0 Then 'cancel button was pressed c;X,-Q9 Print "Execution cancelled." Lhux~,EH End j|Vl\Z&o) End If ,'`yh|}G\ u=v-,Tw 'Assign accommodation and pupil diameter & use defaults if field left empty m^qFaf)6 If dlg.TextBox1 = "" Then w*/@|r39 A = 0 'Default accommodation SDE+"MjBY Else inO;Uwlv A = CDbl(dlg.TextBox1) -`\^_nVC End If &Lt$~}*&6 JZxA:dg
l If dlg.TextBox2 = "" Then ?uL-qsU pupilDiam = 4 'Default pupil diameter gM;m{gXYK Else \ZV>5N3hS pupilDiam = CDbl(dlg.TextBox2) 2[pOGc$ End If VPT?z =gJ{75tV3 Print " " v .C Print "Accommodation = " & A & " Diopters" f9>pMfi:@ Print "Pupil Diameter = " & pupilDiam & " mm" %Y;^$%X%_ ~?aFc) ' Calculate new parameters with accommodation F5cNF5 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness !<~.>5UQ _wb]tE ~g Rant = 12.0 - 0.4*A 'Radius of anterior lens XtZd%
#2}, CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _p1!8*0] w{[^ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 3>L5TYa CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Yq|_6zbYf L(Twclrb tlens = 3.767 + 0.04*A 'Lens thickness "k @[7
7 e/+.^ '{ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction T|BlFJ0" U@yhFj_y 'Adjust parameters to account for accommodation LB]3-FsU+ B%Qo6*b '************************************************************************* }ixCbuD 'Aqueous thickness (Position of Lens) }UGSE2^1 '************************************************************************* t~K[`=G\ex eID = FindFullName( "Geometry.Arizona Eye.Lens" ) OZf@cOTWK GetCustomElement eID, entity T>(X`( z;9D[ME#1 parID = FindFullName( "Geometry.Arizona Eye" ) `G:1 IZ>l ' Delete any shift(s) in z VV$#<D<) count = 0 ue7D'
UZL> While GetOperationCount(eID)>count hV,T889'
GetOperation eID, count, op x!s=Nola
If op.Type="ShiftZ" Then u5rvrn ] DeleteOperation eID,count %`5K8eB count=count-1 af@a / End If :qj^RcmVPL count=count+1 &P}t<; Wend <aaT,J8%[ hVB(*WA^D 'Set new shift in _qf~
hhi op.Type = "ShiftZ" U%@C<o
" op.val1 = taq q+8de_"] op.parent = parID "pK<d~Wu AddOperation eID, op n>eDN\5 Print "Set aqueous humor thickness = " & taq-0.55 b#6mUl2 )XSHKPTQ1 '************************************************************************* kGnT4R*E 'Radius and conic constant of anterior lens i; ]0>g4 '************************************************************************* Z~94<*LEp eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) uc"%uc' GetConic eID, entity, curv, conic |n;);T( fATVAv SetConic eID, entity, 1/Rant, CCant > fV"bj. Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4*f+np Sw>>]UjU '************************************************************************* X)RgXl{ 'Radius and conic constant of posterior lens Io
IhQ '************************************************************************* ZZHQ?p- eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) kUGFg{" GetConic eID, entity, curv, conic *rxYal4ad tXrKC SetConic eID, entity, 1/Rpost, CCpost Z6Mjc/ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E6xdPjoWy =c,7uB '************************************************************************* W58?t6!
= 'Lens thickness (Position of posterior lens surface) Xe:^<$z '************************************************************************* &D-z|ZjgHi wS,fj gX parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5"b1:
w@ K@[Hej6d ' Delete any z-shift(s) +C7W2!I[G2 count = 0 lq3D!+m While GetOperationCount(eID)>count 7p!f+\kM GetOperation eID, count, op CflyK@ If op.Type="ShiftZ" Then (4q/LuP^d DeleteOperation eID,count `mD!z.`U count=count-1 8"d??3ZXJ End If se>\5k count=count+1 vA6onYjA Wend -Mrt%1g FaWc:GsfB 'Set new z-shift 6)i>qz). op.Type = "ShiftZ" 7 J6Z? op.val1 = tlens +CSv@ />3 op.parent = parID Oop6o$k AddOperation eID, op .C+(E@ey A Print "Set lens thickness = " & tlens iYYuZ. 2PeMt^ '************************************************************************* bxO/FrwTj{ 'Lens index of refraction 1VG]|6f '************************************************************************* d+]= l+& eID = FindMaterial( "Lens" ) _~umE/tz GetModelMaterial eID, mat `?l
/HUw qW4\t mat.Nd = nlens 2(\PsN w! SetModelMaterial eID, mat >e-0A Print "Set lens index of refraction = " & nlens 16@<G *+6iXMwe '************************************************************************* OA}; pQ9QN 'Pupil diameter /7+b.h])^ '************************************************************************* ~W4SFp eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6v%ePFul Us#/#-hJ 'Adjust pupil diameter (trimming volume inner hole) pNQ7uy <0~1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" GCr]x ' 5f0g7w =- ' Adjust pupil location to just in front of the lens 74
)G.! parID = FindFullName( "Geometry.Arizona Eye" ) Vep41\g^ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) a!u5}[{ count = 0 WLVkrTvX While GetOperationCount(eID)>count >PQ?|Uk GetOperation eID, count, op V)5,E>;EN If op.Type="ShiftZ" Then P&[&Dj DeleteOperation eID,count o F_rC[ count=count-1 km^ZF<. @ End If -U_,RMw~ count=count+1 b9T6JS j Wend <|G!Qn?2- op.Type = "ShiftZ" <:nyRy} op.val1 = taq-0.01 Tw*p^rU op.parent = parID G[_Z|Xi1 AddOperation eID, op 8 ?y| &~B8~U4% Print "Set pupil diameter = " & pupilDiam +`mI\+y, *h).V&::O 'Update AZ Eye subassembly Description !5[SNr3^ eID = FindFullName( "Geometry.Arizona Eye" ) Sj/v: GetEntity eID, entity Z1$U[Tsd entity.Description = "Accommodation = " & A & "D" o.zP1n|G~r SetEntity eID, entity Bzt:9hr6BO ywyg(8>zE Update EASmB
Print "DONE!" xA2I+r*o S+t2k&pm End Sub 3q@JhB ^k^?>h 如果屈光度是4,光瞳直径是4,则会输出如下数据: %WmTG }L) LIz'hfS! Accommodation = 4 Diopters H~Uy/22aQy Pupil Diameter = 4 mm i<tJG{A= Set aqueous humor thickness = 2.81 ^Ojg}'.Ygv Set anterior lens radius = 10.4 and conic constant = -2.375869 6<5:m:KE Set posterior lens radius = -4.424557 and conic constant = -3.081019 4
540Lw'A Set lens thickness = 3.927 6
A#xFPYY{ Set lens index of refraction = 1.42672 ,BGUIu6 Set pupil diameter = 4 ;9 ChBA DONE! |:2B )X
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