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简介 fov=Yd! zhX`~){N6 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。 _`X#c-J 4lh
模型 ic0v*Y$ |h=+&*(: 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。 eFj6p< 01{r^ZT`RH Table 1. AZ眼睛模型的定义 X!#i@V 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. rv%ye
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D"x$^6`c} 光源 A{8K#@! yhtvr5z1 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 VM]GYz|#] iy.%kHC IzGB 图1. 光源和提示信息使用 4/`h@]8P 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 e:GgA 5e/qgI)M5 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 |DFvZ6} Hr<C2p^a 图2. 字母F光源的设定方法光 kToVBU$ g<rKV+$6 图3. 字母F在视网膜上位置点列图
InPy:} 视网膜的散射 8G5)o` i#]aV]IT 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 pe!dm}!h[ .?i-rTF: AJ#m6`M+EK 图4. 视网膜朗伯散射设定 s=nVoc{Yt 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 uFm+Y]h &G
pA1 DD@)z0W 图5. 视网膜重点采样规格设定 ~gfA](N 脚本 hSkc9jBF @Ge>i5q 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: \=w'HZH#+ G+hF
[b44' 图6. 用户对话框的创建与编辑 yWv<A^C& 图7. 用户对话框编辑器 S7UZGGjTk 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 62MRI 余下的脚本计算与屈光度有关的所有参数。 YH'$_,8peM mZbWRqP[|_ 分析 @3-,=x 43J\8WBn@ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
e'~-`Z9-) ol$2sI=.s 图7. 字母F在视网膜上颜色分析 q6C6PPc 脚本代码 "+n4 c' @q> ktE_ Option Explicit 'Remove this to enable non-dimensioned variables to be used. SLJ&{`"7 pwFU2}I Dim entity As T_ENTITY X!7VyE+n Dim op As T_OPERATION q:Y6fbt<7 Dim mat As T_MODELMATERIAL e~+(7_2 Dim A As Double " K 8&{= Dim pupilDiam As Double *t#s$Ga Dim eID As Long IU Y> ih Dim parID As Long #cj\~T.,, Dim count As Integer HDF!` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double i\=z' Dim tlens As Double, nlens As Double SUH mBo"} Dim curv As Double, conic As Double OuOk= Dim ok As Long *<*0".# Dd!Sr8L[ Sub Main %6NO 0 F^ xl+DRPzl '用户输入对话框 0$eyT-:d Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -ajM5S=d* TextBox 220,21,40,21,.TextBox1 'default: 0 0PnD|]9: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 QP6z?j. OKButton 40,91,90,21 ]ZzoJ7lr CancelButton 190,91,90,21 ^Yj"RM$;N Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 K-J|/eB TextBox 220,49,40,21,.TextBox2 'default: 4 ="uKWt6n' End Dialog {8^Gs^c
c Dim dlg As UserDialog V19e> EKZ$Q4YE ok = Dialog (dlg) xT9Yes& 8{R_6BS If ok=0 Then 'cancel button was pressed *0%4l_i Print "Execution cancelled." p+, 1Fi End IK*oFo{C=K End If :8p&#M /635B*g 'Assign accommodation and pupil diameter & use defaults if field left empty (Ij0AeJ# If dlg.TextBox1 = "" Then [096CK A = 0 'Default accommodation IFiTTIlT0 Else #|qm!aGs A = CDbl(dlg.TextBox1) `1nRcY End If `S"W8_m i]it5 If dlg.TextBox2 = "" Then G/v|!}?wG pupilDiam = 4 'Default pupil diameter r%0pQEl Else Y)$52m5rM pupilDiam = CDbl(dlg.TextBox2) <"*"1(wN End If 3c c1EQ9 mJ)tHv"7 Print " " o_iEkn Print "Accommodation = " & A & " Diopters" 12 idM* Print "Pupil Diameter = " & pupilDiam & " mm" C&=x3Cz ecn}iN ' Calculate new parameters with accommodation O$a#2p& taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness RnHQq'J|\ )T>8XCL\} Rant = 12.0 - 0.4*A 'Radius of anterior lens ./$
<J6-J CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens b.QpHrnhtK x+4vss Rpost = -5.224557 + 0.2*A 'Radius of posterior lens EPc!p> CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens CE)*qFs HtxLMzgz<< tlens = 3.767 + 0.04*A 'Lens thickness lp(Nv(S _-n Y2) nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^w>&?A'! aiYo8+{!# 'Adjust parameters to account for accommodation P3G:th@j= ]bIt@GB '************************************************************************* }/20%fP 'Aqueous thickness (Position of Lens) : (cb2j(C '************************************************************************* |V lMmaz eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ASR-a't6 GetCustomElement eID, entity H ZPcd_( h-7A9: parID = FindFullName( "Geometry.Arizona Eye" ) ~L~]QN\3 29%=: *R$ ' Delete any shift(s) in z b7bSTFZxC count = 0 >;,gGH While GetOperationCount(eID)>count 7R: WX: GetOperation eID, count, op B22b&0 If op.Type="ShiftZ" Then m$?.Yig? DeleteOperation eID,count H"_v+N5= count=count-1 L_^`k4ct End If `mrCu>7 count=count+1 D3y>iQd Wend z=qWJQ %VWp&a8 'Set new shift in x@Y|v@}BE op.Type = "ShiftZ" /u=aX op.val1 = taq mH)OB?+lq op.parent = parID B%fU' AddOperation eID, op L?HF'5o Print "Set aqueous humor thickness = " & taq-0.55 `NQ{)N0! fWj@e"G '************************************************************************* zrrz<dW 'Radius and conic constant of anterior lens -,^WaB7u\ '************************************************************************* 45)D+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -bA!PeI GetConic eID, entity, curv, conic as(*B-_n~ 7H%_sw5S. SetConic eID, entity, 1/Rant, CCant zka?cOmYF[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant bEd?^h 8b7;\C~$p '************************************************************************* 8"i/wMP] 'Radius and conic constant of posterior lens F$h'p4$T '************************************************************************* G?<pBMy eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )pS8{c)E GetConic eID, entity, curv, conic ")ED)&e uf]Y^,2 SetConic eID, entity, 1/Rpost, CCpost Rboof`pVt Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost &:No}6 9 ZGV%Tw '************************************************************************* 1i3V!!r 'Lens thickness (Position of posterior lens surface) \45(#H<$ '************************************************************************* Ff<)4`J
4{Udz! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )Oiev u_"| < eQ[kM ' Delete any z-shift(s) J)*8|E9P count = 0 nWGR5*e: While GetOperationCount(eID)>count @Dj:4 GetOperation eID, count, op ufPCx|x~ If op.Type="ShiftZ" Then >jMH#TZaX DeleteOperation eID,count ]RD5Ex!K? count=count-1 (@q3^)I4 End If C_G1P)k count=count+1 4.Z(:g Wend ~KRnr0 K2HvI7$- 'Set new z-shift 3] ^' op.Type = "ShiftZ" X`1p'JD op.val1 = tlens o,FUfO}F op.parent = parID gI{ =0 AddOperation eID, op ;Iq5|rzDn Print "Set lens thickness = " & tlens lsY `c"NW> B\[-fq '************************************************************************* -!TcQzHUs 'Lens index of refraction JYV\oV{ '************************************************************************* v9rVpYc" eID = FindMaterial( "Lens" ) 3ji:O T GetModelMaterial eID, mat x:
~d@ Gw{+xz KJ mat.Nd = nlens ao$):,2* SetModelMaterial eID, mat 7|Dn+= Print "Set lens index of refraction = " & nlens tS<h8g_ j"hASBTgp '************************************************************************* TwFb%YM 'Pupil diameter azX`oU,l '************************************************************************* 9p`r7: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) O]{*(J/t {|6z+vR 'Adjust pupil diameter (trimming volume inner hole) ]"sRS`0+
m}5q]N";x SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" fHfY}BQS ?3jdg ]& ' Adjust pupil location to just in front of the lens s$GF 95^ parID = FindFullName( "Geometry.Arizona Eye" ) {mSJUK?TKl eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dy:d=Z count = 0 Y<Q\d[3^F While GetOperationCount(eID)>count Ae49n4J GetOperation eID, count, op {/ &B!zvl If op.Type="ShiftZ" Then :JlDi>B DeleteOperation eID,count 0S.?E.-&0 count=count-1 4seciz0? End If GN%(9N'W count=count+1 >^3zU Wend FH*RU1Z op.Type = "ShiftZ" J]fS({(\I op.val1 = taq-0.01 Mr*|9h op.parent = parID .pvxh|V AddOperation eID, op uV~e|X
"9s uTGcQs} Print "Set pupil diameter = " & pupilDiam H/J<Pd$p K@r*;T 'Update AZ Eye subassembly Description Y6ben7j%- eID = FindFullName( "Geometry.Arizona Eye" ) *#2Rvt*Ox GetEntity eID, entity @^?XaU entity.Description = "Accommodation = " & A & "D" T"!EK& SetEntity eID, entity C3S`}o. ' qy#)F Update l~1AT% Print "DONE!" lLCdmxbT ` X}85 End Sub HmV />9 o:UXPAj 如果屈光度是4,光瞳直径是4,则会输出如下数据: &p"(- G9RP^ Accommodation = 4 Diopters s'L?;:)dyB Pupil Diameter = 4 mm irMd
jG Set aqueous humor thickness = 2.81 *IZf^-=Q Set anterior lens radius = 10.4 and conic constant = -2.375869 (X}@^]lpa Set posterior lens radius = -4.424557 and conic constant = -3.081019 Y {c5 Set lens thickness = 3.927 ut5yf$% Set lens index of refraction = 1.42672 HC7JMj Set pupil diameter = 4 Z;b+>2oL DONE! <LA^%2jT \+Y!ILOI ow.6!tl0=h QQ:2987619807 \!H{Ks{#R.
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