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简介 1'ts>6b b8Gu<Q1k 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。 },<(VhP \2F{r<A\@ 模型 R"%zmA@o= xe9E</M_ 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。 4+Aht]$hC }Fs;sfH Table 1. AZ眼睛模型的定义 ! f!/~M"! 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 6Q\0v *l\wl @{ 光源 cCOw7< 5Us$.p 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。 RN2^=$'. KWwEK] !7)` g i 图1. 光源和提示信息使用 UqHk2h- 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 84(NylZ S~L;oX?(! 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 o3C7JG o%Ubn* 图2. 字母F光源的设定方法光 `b.KMOn #yPQt! 图3. 字母F在视网膜上位置点列图 !' ;1;k); 视网膜的散射 W&MZ5t,k= j~DTvWg<Jl 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Jc8^m0_ b2rlj6d n[|*[II 图4. 视网膜朗伯散射设定 Gs`[\<;LI 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 LdAWCBLS I$yFCd Xr e'"2yA8dh" 图5. 视网膜重点采样规格设定 7I\qEr57 脚本 (x)}k&B; ^LAP*R 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: aL?+# j^" sn>2dRW{ 图6. 用户对话框的创建与编辑 MK1V1F` 图7. 用户对话框编辑器 .5?e)o) 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。 jg)+]r/hS 余下的脚本计算与屈光度有关的所有参数。 \B\G=Y (%N=7? 分析 {Sl#z}@s ,$4f#) 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 VK)vb.: +)J;4B 图7. 字母F在视网膜上颜色分析 X%>nvp 脚本代码 A[7\!bq5 *P:!lO\| Option Explicit 'Remove this to enable non-dimensioned variables to be used. As}3VBd Chso]N.1 Dim entity As T_ENTITY ?**9hu\BG Dim op As T_OPERATION ./7*<W: Dim mat As T_MODELMATERIAL r]+/"~a Dim A As Double ^pc?oDPSg Dim pupilDiam As Double |!Uul0O Dim eID As Long }F
B]LLi Dim parID As Long T<a/GE/
Dim count As Integer ZBY*C;[)*P Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double s*;rt Dim tlens As Double, nlens As Double s!g06F Dim curv As Double, conic As Double FN+x<VXo( Dim ok As Long " J4?Sb < UM(`Oh8 Sub Main ;#/Uo8 9M]%h '用户输入对话框 p~A6:"8s`= Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +|K/*VVn` TextBox 220,21,40,21,.TextBox1 'default: 0 S\poa:D` Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 nSSj&q- O OKButton 40,91,90,21 S Boi| CancelButton 190,91,90,21 {SRv=g Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j9sLR TextBox 220,49,40,21,.TextBox2 'default: 4 &Hj1jM' End Dialog #;(Q \ Dim dlg As UserDialog xRrKrs &eE xoB "hNIX ok = Dialog (dlg) "KHe6otmi_ /EvnwYQy If ok=0 Then 'cancel button was pressed N5F+h94z] Print "Execution cancelled." yhsbso,5 a End Ib}~Q@?2 End If 1nZ7xCDK98 9Od|R"aS| 'Assign accommodation and pupil diameter & use defaults if field left empty Q2LAXTF]y If dlg.TextBox1 = "" Then IxU#x* A = 0 'Default accommodation p!o+8Xz5 Else DQy;W ov A = CDbl(dlg.TextBox1) u-k!h End If e_h`x+\: JTS<n4<a If dlg.TextBox2 = "" Then y**>l{!! pupilDiam = 4 'Default pupil diameter b8O }XB Else vO
3-B pupilDiam = CDbl(dlg.TextBox2) 8h{;*Wr- End If b/g~;| < PBY;SG~ Print " " Y{`hRz` Print "Accommodation = " & A & " Diopters"
W*Gp0pX Print "Pupil Diameter = " & pupilDiam & " mm" /zTx+U.\I btDPP k' ' Calculate new parameters with accommodation _h1:{hF taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness FNHJHuTe M1,1J-h Rant = 12.0 - 0.4*A 'Radius of anterior lens QG]*v=Z CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens '(fCi Uv|^k8( Rpost = -5.224557 + 0.2*A 'Radius of posterior lens zz[[9Am! CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 3BK_$Fy r.10b]b tlens = 3.767 + 0.04*A 'Lens thickness <,+6:NmT 'l41];_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction yoVN|5 LT:*K!>NOL 'Adjust parameters to account for accommodation NVG`XL |n %<p '*************************************************************************
n1@ Or=5 'Aqueous thickness (Position of Lens) wg{Y6XyH '************************************************************************* 9
:FzSD eID = FindFullName( "Geometry.Arizona Eye.Lens" ) jKhj 7dR GetCustomElement eID, entity A,f%0
eQR Yvxp( parID = FindFullName( "Geometry.Arizona Eye" ) 1+NmiGKg 2\L}Ka|v ' Delete any shift(s) in z V1>>]]PS count = 0 TM$Ek^fQ. While GetOperationCount(eID)>count %q5iy0~P GetOperation eID, count, op ba"a!#wA If op.Type="ShiftZ" Then v}^
f8nVR DeleteOperation eID,count 90]{4 ]y; count=count-1 !|;w(/ End If 3I.0uLjg^ count=count+1 K$Yc!4M Wend ' $5o5\ J6*B=PX=( 'Set new shift in Bg0 aLU)[ op.Type = "ShiftZ" $C ?G7Vs op.val1 = taq ~zA{=|I2 op.parent = parID :>GT<PPD; AddOperation eID, op _=oNQ Print "Set aqueous humor thickness = " & taq-0.55 {1j[RE :fE*fU@ '************************************************************************* h|
+( 'Radius and conic constant of anterior lens O-K!Bv^
Q '************************************************************************* )bPF@'rF2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) n\D3EP<s GetConic eID, entity, curv, conic z0m[25FQG
g+iV0bbT SetConic eID, entity, 1/Rant, CCant TAn.5
wH9t Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^iwM(d]#5 j[o5fr)L '************************************************************************* mca9 +v 'Radius and conic constant of posterior lens Lu?)Rya '************************************************************************* vXi}B eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Q|W!m0XO GetConic eID, entity, curv, conic e{x|d?)8 Bt^];DjH SetConic eID, entity, 1/Rpost, CCpost CJNz J( Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 4D\+_Ic3 fMFlY%@t '************************************************************************* hrr ;=q$ 'Lens thickness (Position of posterior lens surface) ,w/f:-y '************************************************************************* 6uH1dsD 4c_F>Jw[ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) @tLoU% 8Bnw//_pT ' Delete any z-shift(s) V6ioQx=K# count = 0 fKY1=3 While GetOperationCount(eID)>count WPM<Qv L GetOperation eID, count, op !OJSQB, If op.Type="ShiftZ" Then K!9rH>`\ DeleteOperation eID,count Z0 e+CEzq count=count-1 m 5NF)eL End If TIa`cU` count=count+1 f-tV8 Wend 9h6xl i rHtT>UE= 'Set new z-shift h;KI2k_^ op.Type = "ShiftZ" r_Rjjo op.val1 = tlens ^JMSe- op.parent = parID /z4xq'< AddOperation eID, op VM3H&$d(h Print "Set lens thickness = " & tlens cF[[_ Eu
)7@ '************************************************************************* ^IGTGY]s 'Lens index of refraction m`c(J1Et '************************************************************************* "A:wWb<m eID = FindMaterial( "Lens" ) 9CWUhS
GetModelMaterial eID, mat NoJo-vo* `q exEk@S mat.Nd = nlens lm&C!{K SetModelMaterial eID, mat Dg#A b8 Print "Set lens index of refraction = " & nlens 3RRZVc*
^ ^aZ Wu|p '************************************************************************* Z3R..vy8 'Pupil diameter *qG=p` '************************************************************************* `z3?ET eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) o0wep&@ CFZ=!s)B 'Adjust pupil diameter (trimming volume inner hole) ;<q@>p[ 't{=n[ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" AX1'.
@Ds? ' Adjust pupil location to just in front of the lens ,[bcyf parID = FindFullName( "Geometry.Arizona Eye" ) SAG)vmm eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -JZl?hY( count = 0 fINM$ 6 While GetOperationCount(eID)>count oUw-l_ M] GetOperation eID, count, op 7B%@f9g If op.Type="ShiftZ" Then #OWwg`AWv DeleteOperation eID,count !4jS=Lhe> count=count-1 <$D)uY K End If aXC`yQ? count=count+1 q{7s.m
> Wend 2%W(^Lj op.Type = "ShiftZ" e`$v\7K op.val1 = taq-0.01 {=g-zsc]K op.parent = parID 4kg9R^0 AddOperation eID, op 6g$04C3tHi b9y
E Print "Set pupil diameter = " & pupilDiam ]NAPvw#p RFK
N,oB 'Update AZ Eye subassembly Description 2
yP#:T/z eID = FindFullName( "Geometry.Arizona Eye" ) )X^nzhZ2O" GetEntity eID, entity Gs?W7}<$ entity.Description = "Accommodation = " & A & "D" q]Qgg SetEntity eID, entity !Q7 ?$n< |