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简介 F 6SIhf.; L=VuEF 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。 OCX?U50am V6Q[Y>84~a 模型 {UwJg pM4 j=F 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。 mWigy`V^~ , X|oCD Table 1. AZ眼睛模型的定义 n ,H;PB 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. tnTr&o# ;)o%2#I 光源 wlkS+$< ]P 2M 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 {wd.aUB <;acWT?( ?XeRL<n 图1. 光源和提示信息使用 )~WxNn3rx 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 `
a@NYi6 .kBAUkL: 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ; xs?^N| 2sf/^XC1 图2. 字母F光源的设定方法光 kKCkjA:o## z[7U>q[E 图3. 字母F在视网膜上位置点列图 (I\aGGW 视网膜的散射 tFb49zbk *WOA",gZ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ;}:"[B3$ y/Nvts2!C ?Bk"3{hl 图4. 视网膜朗伯散射设定
g\n@(T$) 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 C
YnBZ dp+wwNe rj,Sk~0Q 图5. 视网膜重点采样规格设定 BPC$ v\a 脚本 [5:F ~r=u1]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: ,Kdvt@vle Q%@l`V)Rs 图6. 用户对话框的创建与编辑 KaO8rwzDN 图7. 用户对话框编辑器 cT." 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。 U^Hymgb% 余下的脚本计算与屈光度有关的所有参数。 B<_T"n'#b b$VdTpz 分析 }/M ~ 7 +? 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 )LnHm Tqm9><!r 图7. 字母F在视网膜上颜色分析 ?2Bp^3ytJ 脚本代码 `qX'9e3VP+ ^2Op?J Option Explicit 'Remove this to enable non-dimensioned variables to be used. CM7j^t '9i:b]Hru Dim entity As T_ENTITY e}7qZ^ Dim op As T_OPERATION h/PWi<R
i Dim mat As T_MODELMATERIAL 5$N4<Lo7 Dim A As Double :#b[gWl0Ru Dim pupilDiam As Double u\>Ed9^ Dim eID As Long /k7`TUK Dim parID As Long V18w Dim count As Integer t t#M4n@ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double T w/CJg
Dim tlens As Double, nlens As Double ()XL}~I{!A Dim curv As Double, conic As Double UPLr[>Q# Dim ok As Long 2D&tDX< G+}|gG8 Sub Main fz,8 < Z+Z`J;
, '用户输入对话框 ,7tN&R_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \@gs8K# TextBox 220,21,40,21,.TextBox1 'default: 0 3"&6rdF\jB Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 UB?a-jGZK OKButton 40,91,90,21 i7*4hYY CancelButton 190,91,90,21 %z1WdiC Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Z'!jZF~4p TextBox 220,49,40,21,.TextBox2 'default: 4 <A+Yo3|7 End Dialog -s4qm)\ Dim dlg As UserDialog }1epn#O_4 Ks9"U^bPs ok = Dialog (dlg) b\H~Ot[i 5(TI2,4 If ok=0 Then 'cancel button was pressed KJJ8P`Kx Print "Execution cancelled." mtmtOG_/= End BDc*N]m}B1 End If ]Jm9D= 4z?6[Cg< 'Assign accommodation and pupil diameter & use defaults if field left empty NCX!ss If dlg.TextBox1 = "" Then tUL(1:-C A = 0 'Default accommodation l$MX\ Else SyX>zN! A = CDbl(dlg.TextBox1) oP_'0h0X End If c tTbvXP =<R77rnY& If dlg.TextBox2 = "" Then ejD;lvf pupilDiam = 4 'Default pupil diameter :^! wQ""
Else rVFAwbR pupilDiam = CDbl(dlg.TextBox2) xlS
t End If aFd
, W<v?D6dFq Print " " - C8h$P Print "Accommodation = " & A & " Diopters" ; #e-pkV Print "Pupil Diameter = " & pupilDiam & " mm" (9@6M8A 3fn6W)v? ' Calculate new parameters with accommodation ^MDBJ0
I. taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ogDyrY}]
($[pCdY Rant = 12.0 - 0.4*A 'Radius of anterior lens \O72PC+ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens js'*:*7 V=\&eS4^" Rpost = -5.224557 + 0.2*A 'Radius of posterior lens w%j 6zsTz CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ,7k)cNstW X -6Se tlens = 3.767 + 0.04*A 'Lens thickness rsy'ZVLUj .\LWV=B nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,$7LMTVDrE 1&U'pp|T 'Adjust parameters to account for accommodation ]={:VsnL $Ob]JAf} '************************************************************************* IiS1ubNtZ 'Aqueous thickness (Position of Lens) nEyPNm) '************************************************************************* 5|wQeosXxI eID = FindFullName( "Geometry.Arizona Eye.Lens" ) c"77<Db$ GetCustomElement eID, entity C&K%Q3V }a|SgI parID = FindFullName( "Geometry.Arizona Eye" ) ~\Fde^1 |]Pigi7y- ' Delete any shift(s) in z |&h!#Q{7l count = 0 pBh[F5 While GetOperationCount(eID)>count h$4V5V GetOperation eID, count, op (a@cK, If op.Type="ShiftZ" Then zxTm`Dh;[ DeleteOperation eID,count 6D_4o&N count=count-1 SQW A{f End If X
NnsMl count=count+1 "f3, w Wend N{L ]H_= %[&cy' 'Set new shift in nS]/=xP{ op.Type = "ShiftZ" W;Ox H"eC op.val1 = taq "?}QwtUW op.parent = parID A\.k['! AddOperation eID, op ZLxe$.V_ Print "Set aqueous humor thickness = " & taq-0.55 :G$NQ*(z %t:1)]2 '************************************************************************* &=K-~!? 'Radius and conic constant of anterior lens %U-KQI0 '************************************************************************* x!]ZVl] eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) SDcD(G GetConic eID, entity, curv, conic %pe7[/ G2
xYa$&][ SetConic eID, entity, 1/Rant, CCant ]J?5qR:xCy Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q yQPR Eki7bT@/ '************************************************************************* ,t(y~Z
wJ 'Radius and conic constant of posterior lens BY32)8SH '************************************************************************* f+-w~cN eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 64hr|v GetConic eID, entity, curv, conic :q0C$xF V92e#AR SetConic eID, entity, 1/Rpost, CCpost xGPt5l<M& Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 80c\O-{ +twJHf_U '************************************************************************* 3[-L'!pOX3 'Lens thickness (Position of posterior lens surface) d+[hB4!l2 '************************************************************************* nke[}Hqf ~Se/uL;* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ].7)^ 5 S7\m5 ' Delete any z-shift(s) \/S?.P#L~ count = 0 PHT;%;m= While GetOperationCount(eID)>count .ye5;A} GetOperation eID, count, op 8.'%wOU@A If op.Type="ShiftZ" Then y85GKysT DeleteOperation eID,count u` R count=count-1 Z:u7`% End If Jg/WE1p> count=count+1 ^A;v|U Wend `SFI\Y+WDT 9iUkvnphh 'Set new z-shift "otP^X. op.Type = "ShiftZ" k0{Mq<V*% op.val1 = tlens =Q[5U9 op.parent = parID \
Lrg: AddOperation eID, op r#d~($[93 Print "Set lens thickness = " & tlens q71Tg !H~G_?Mf\O '************************************************************************* $NT{ssh 'Lens index of refraction +wS?Z5%mU '************************************************************************* Y[
a$~n^:n eID = FindMaterial( "Lens" ) li$(oA2 GetModelMaterial eID, mat CP["N(fF coyy T mat.Nd = nlens ^W3xw[{ SetModelMaterial eID, mat eiJ $}\qJL Print "Set lens index of refraction = " & nlens QVQe9{ "0 {CYFM[V '************************************************************************* l2X'4_d 'Pupil diameter 87r#;ND '************************************************************************* `:R8~>p eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $
[0 v>;6pcp[F 'Adjust pupil diameter (trimming volume inner hole) ko=vK%E[ FJ}/g
? SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" z;2kKQZm vsRn\Y ' Adjust pupil location to just in front of the lens <vhlT#p
parID = FindFullName( "Geometry.Arizona Eye" ) G#
.z((Rj eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) xCiY
jl$ count = 0 v`*!Bhc- While GetOperationCount(eID)>count Xj.6A,}^ GetOperation eID, count, op
" q0lh If op.Type="ShiftZ" Then 5O]ph[7 DeleteOperation eID,count 118A6qyi count=count-1 ROW8YTYb End If !%_}Rv!JT count=count+1 _@ev(B Wend !QSL8v@c op.Type = "ShiftZ" =M*31>"I0 op.val1 = taq-0.01 FI Io{ru op.parent = parID 1<Qb"FN!2 AddOperation eID, op 9]xOuCb N0vr>e` Print "Set pupil diameter = " & pupilDiam jLM1~`& Kj;Q;Ii 'Update AZ Eye subassembly Description DrC4oxS 1 eID = FindFullName( "Geometry.Arizona Eye" ) nulVQOj| GetEntity eID, entity =NQDxt} entity.Description = "Accommodation = " & A & "D" S)>L 0^M1 SetEntity eID, entity ?|w>."F &) T5V Update +j%!RS$ko Print "DONE!" ;vy" i <V5(5gx End Sub B#OnooJI bd5\Rt 如果屈光度是4,光瞳直径是4,则会输出如下数据: MRV4D<NQ pW 2NrBq@w Accommodation = 4 Diopters !NuiVC] Pupil Diameter = 4 mm )CD4k:bm Set aqueous humor thickness = 2.81 Tu o`>ZA Set anterior lens radius = 10.4 and conic constant = -2.375869 B8:G1r5G/ Set posterior lens radius = -4.424557 and conic constant = -3.081019 y
U
=) g Set lens thickness = 3.927 J NPEyC Set lens index of refraction = 1.42672 f(6`5/C Set pupil diameter = 4 HQCxO? DONE! <v>^#/.0 '=Nb`n3% RXxi7^ U QQ:2987619807 >7V96jL$Y
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