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q s5HbuyR^ 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。 4/4IZfznX tj3p71% 模型 y~fy0P:T 1tDN$rM5 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 K5$ y z,tax`O Table 1. AZ眼睛模型的定义 H;6V 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. ;g9+*$Gw `xSXGI 光源 O_ cK4 `6/7},"9t 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 k8TMdWW !v-(O"a ]:;gk&P 图1. 光源和提示信息使用 v:chr$>j5 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。 (:1j- wa C%o%fD 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。 H4N==o LYX+/@OU2 图2. 字母F光源的设定方法光 g5.Z B@j 8HzEH-J
图3. 字母F在视网膜上位置点列图 G>Q{[m$ 视网膜的散射 7>nA;F
8_ i=ba=-"Mt 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。 Buo1o&& Q7C'O @ XxIU B(.QI 图4. 视网膜朗伯散射设定 6Z$T&Ul{ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ,Y*f] *VH1(E`hl =<g\B?s] 图5. 视网膜重点采样规格设定 P|\,kw>l 脚本 *M="k 1P1 VbN]z: 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示:
G~JQcJFj Q~9:}_@ 图6. 用户对话框的创建与编辑 ukw'$Yt2 图7. 用户对话框编辑器 yoH6g?!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。 D526X0 余下的脚本计算与屈光度有关的所有参数。 eRGip2^cq+ Uz0mSfBp 分析 NYCkYI xZkLN5I{ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Rk'Dd4"m, 3Ry?{m^ 图7. 字母F在视网膜上颜色分析 ?0.+DB
$ 脚本代码 t~Uqsa>n@' S4 Rv6{r: Option Explicit 'Remove this to enable non-dimensioned variables to be used. $oNkE ^}WeBU Dim entity As T_ENTITY { "/@,!9rJ Dim op As T_OPERATION C}Khh`8@5. Dim mat As T_MODELMATERIAL P"- ,^?6 Dim A As Double 0q/g:"|j Dim pupilDiam As Double O6`@'N>6P Dim eID As Long E_h 9y Dim parID As Long k -SUp8}g Dim count As Integer UZ<!(g. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double xQN](OKG Dim tlens As Double, nlens As Double bNqjjg Dim curv As Double, conic As Double 3&}wfK]X Dim ok As Long q*
m%Fv Gm*i='f!? Sub Main N%`ikdaTd D3I;5m`_ '用户输入对话框 tn p]wZ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 bzZEwMc6 TextBox 220,21,40,21,.TextBox1 'default: 0 ^7(zoUn: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 50CU| OKButton 40,91,90,21 r|&qXb x CancelButton 190,91,90,21 0BD3~Lv Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )2\6Fy0S TextBox 220,49,40,21,.TextBox2 'default: 4 0|d%@ End Dialog *s_)E2 Dim dlg As UserDialog nkvzv gvz&ppcG ok = Dialog (dlg) ,cpPXcz ?, +lE 9*Gs_$ If ok=0 Then 'cancel button was pressed Ua(!:5q? Print "Execution cancelled." Wvcj\2'yd End wJ+"JQY.J+ End If Zr`:A$ nE,"3X" 'Assign accommodation and pupil diameter & use defaults if field left empty oZ!rK/qoA If dlg.TextBox1 = "" Then Vk[m$ A = 0 'Default accommodation $NqT={! Else G:f]z;Xdp A = CDbl(dlg.TextBox1) W<kJ%42^j End If "Sl";. i5|!MIY If dlg.TextBox2 = "" Then 2TY|)ltsF pupilDiam = 4 'Default pupil diameter pnDD9u-4; Else /f_lWr:9l pupilDiam = CDbl(dlg.TextBox2) >`u} G1T\ End If .|cQ0:B[ '%kk&&3' Print " " ;Cm%<vW4! Print "Accommodation = " & A & " Diopters" Q;SMwCB0M Print "Pupil Diameter = " & pupilDiam & " mm" sJ!AI
n< jF{zcYU ' Calculate new parameters with accommodation 2,'m]`;GNr taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness =3Y?U*d S_aml Rant = 12.0 - 0.4*A 'Radius of anterior lens 'Aai.PE: CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens *cJ GrLC .\qZkk}2l Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 7>v1w:cC] CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ]uj6-0q){W or>5a9pj tlens = 3.767 + 0.04*A 'Lens thickness EnZrnoGM }JoCk{<31 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4)i/B99k rl[&s\[ 'Adjust parameters to account for accommodation u\.7#D> ~M2w&g;1 '************************************************************************* m^% [ 'Aqueous thickness (Position of Lens) >kd&>)9v '************************************************************************* &Nt4dp`qj eID = FindFullName( "Geometry.Arizona Eye.Lens" ) aB+Ux<
- GetCustomElement eID, entity %5NfF65' s=#3f3 parID = FindFullName( "Geometry.Arizona Eye" ) a>G|t5w 2mWW0txil ' Delete any shift(s) in z =4 36/O`K count = 0 p{[Ol While GetOperationCount(eID)>count e>=P' GetOperation eID, count, op t[XxLG* If op.Type="ShiftZ" Then rB~x]5TH DeleteOperation eID,count D}r,t_]Eb count=count-1 $RfM}!7? End If S1.w^Ccy count=count+1 ^?VYE26 Wend {Ug?k<h7| FcB]wz 'Set new shift in pc
J5UJY op.Type = "ShiftZ" m$Lq#R={Z op.val1 = taq KW]/u op.parent = parID RHZ5f0b4L AddOperation eID, op
.;8T* Print "Set aqueous humor thickness = " & taq-0.55 )4vZIU# y+hC !- '************************************************************************* PF+v[h;, 'Radius and conic constant of anterior lens DJ2EV^D+P '************************************************************************* SxdH%agM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) A]id*RtY GetConic eID, entity, curv, conic >
SU2Jw .^6"nnfA# SetConic eID, entity, 1/Rant, CCant ] cdKd ) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant nlQ<Aa-% +1zCb=;!{ '************************************************************************* NguJ[ 'Radius and conic constant of posterior lens wu"6Kyu '************************************************************************* jO)UK.H# eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;I1}g] GetConic eID, entity, curv, conic EbZRU65J}O Dm?>U1{ SetConic eID, entity, 1/Rpost, CCpost fgVeB;k| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost c
%w
h S\RjP*H* '************************************************************************* $@<qaR{t \ 'Lens thickness (Position of posterior lens surface) }J"}5O2,b '************************************************************************* UT|FV
twO -]\cUQ0 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) L
s6P<"V UE^_SZ ' Delete any z-shift(s) Yj99[
c#] count = 0 ,iY/\
U'' While GetOperationCount(eID)>count c+|,qm GetOperation eID, count, op c%%r If op.Type="ShiftZ" Then |-GmW SK_ DeleteOperation eID,count :SjTkfU count=count-1 P#H|at End If I?nj_ as count=count+1 m_{OCHS+ Wend }<6xZy WX$mAQDV 'Set new z-shift f|G,pDLx op.Type = "ShiftZ" eJFGgJRIvF op.val1 = tlens I%.KFPV op.parent = parID t>p!qKrE'J AddOperation eID, op Cg[]y1Ne Print "Set lens thickness = " & tlens q{I,i(%m8 jkw:h0hX '************************************************************************* <;}jf*A 'Lens index of refraction oxT..=- '************************************************************************* 7DaMuh~< eID = FindMaterial( "Lens" ) PI@/jh GetModelMaterial eID, mat 6z3 Yq{1 9fp@d mat.Nd = nlens mGR}hsQpn SetModelMaterial eID, mat P[{qp8(g Print "Set lens index of refraction = " & nlens )vVt{g vM@2C'
'************************************************************************* Y
Y4"r\V 'Pupil diameter s6Ox!)& '************************************************************************* _q*4+x eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *c'nPa$+|S rF C 6"_ 'Adjust pupil diameter (trimming volume inner hole) f@U\2r vpR^G`/ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ` QC 5y]1v ' Adjust pupil location to just in front of the lens F)P"UQ!\ parID = FindFullName( "Geometry.Arizona Eye" ) %Ci`OhT eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) '6U~|d count = 0 <-KHy`u While GetOperationCount(eID)>count h&Thq52R GetOperation eID, count, op R'bmE:nL If op.Type="ShiftZ" Then za{z2#aJ DeleteOperation eID,count =*EIe z*.x count=count-1 Fr{u=0 X End If Ckd=tvL count=count+1 c"qaULY Wend Exir?G} \ op.Type = "ShiftZ" 90JD`Nz op.val1 = taq-0.01 0uX"KL]Elf op.parent = parID `CCuwe<v AddOperation eID, op a#H2H`% vd>K=!
J Print "Set pupil diameter = " & pupilDiam n#@/A Da_8Q(XFe 'Update AZ Eye subassembly Description !O=?n<Ex" eID = FindFullName( "Geometry.Arizona Eye" ) {ctEjgiE GetEntity eID, entity ~x<nz/^ entity.Description = "Accommodation = " & A & "D" jIY
SetEntity eID, entity "-aak )7w *Z0 Y:" Update :|hFpLt Print "DONE!" RiHOX&-7 scmn-4j'{ End Sub 7P3PQ%: l#7].-/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: l5sBDiir% =gI;%M\' Accommodation = 4 Diopters QmQsNcF~z Pupil Diameter = 4 mm 3w&fN3
1 Set aqueous humor thickness = 2.81 $Pa7B]A,Ae Set anterior lens radius = 10.4 and conic constant = -2.375869 I5RV:e5b Set posterior lens radius = -4.424557 and conic constant = -3.081019 :1%z; Set lens thickness = 3.927 .Q'/e>0 Set lens index of refraction = 1.42672 w k1O*_76 Set pupil diameter = 4 Wtl0qug DONE! gH87e M6(o J* }sTo,F$ QQ:2987619807 <^:e)W
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