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简介 ri:fo'4TO j.z#fU 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。 T>c;q%A/ 5}m2D=' 模型 ?eu=0|d F kWJB> 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。 \z_@.Jw{ ;7hf'k Table 1. AZ眼睛模型的定义 gs!{'=4wT 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. [)*fN|Hy }$7Hf+G 光源 ]8mBFr5E9 F :u} 7t> 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 :>,d$f^tqE xpV8_Gz; +|}~6` 图1. 光源和提示信息使用 @1>83-p"X 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。
oCduY2 9Dpmp| 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。 MVdE7P o6q Qzk 图2. 字母F光源的设定方法光 v7ae^iU _
pJU~8 图3. 字母F在视网膜上位置点列图 6G(k{S 视网膜的散射 v9<p@GY"\ )QX9T 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。 Ad"::&&Wk `Q{kiy BjB2YO& / 图4. 视网膜朗伯散射设定 DF|qNX 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。 9oaq%Sf >V]>h&` vj#gY2qZ 图5. 视网膜重点采样规格设定 rz3&khi 脚本 F`-? 3]\3 o]]Q7S= 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: i P/I% D bk8IGhO|m! 图6. 用户对话框的创建与编辑 Jus)cO#I 图7. 用户对话框编辑器 xOkf9k_ 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。 xUG|@xIwc 余下的脚本计算与屈光度有关的所有参数。 X=DJOepH' onjTuZ^h 分析 EqOB
0\ =B;)h 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~:JKXa? QJv,@@mu 图7. 字母F在视网膜上颜色分析 5Wn6a$^
脚本代码 x.d9mjLN8m ncWASw` Option Explicit 'Remove this to enable non-dimensioned variables to be used. fBQZ=zh [rQ#skf Dim entity As T_ENTITY |C5i3? Dim op As T_OPERATION w("jyvV[C Dim mat As T_MODELMATERIAL -8EdTc@ Dim A As Double %`` FIv15w Dim pupilDiam As Double C~l5D4D# Dim eID As Long //WgK{Mt Dim parID As Long KYlWV<sR Dim count As Integer 7}nOF{RH] Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double KKOu":b
Dim tlens As Double, nlens As Double ~M <4HC Dim curv As Double, conic As Double MT0}MMr Dim ok As Long .fZv H 0m?ul%= Sub Main *yt/
Dj Ron^PvvY& '用户输入对话框 Muarryh} Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ; I=z TextBox 220,21,40,21,.TextBox1 'default: 0 ^P]: etld9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 )`g[k"yB3 OKButton 40,91,90,21 ka]n+"~==\ CancelButton 190,91,90,21 ,PY<AI^59 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y \j &84 TextBox 220,49,40,21,.TextBox2 'default: 4 A]R"C:o End Dialog PY` V]|J Dim dlg As UserDialog IPJs$PtKok (s}9N ok = Dialog (dlg) u0i
@. :pNZQX If ok=0 Then 'cancel button was pressed d*H-l3N Print "Execution cancelled." NeNKOW#X End F.O2;M|x End If TN l$P~X> .&*Tj}p 'Assign accommodation and pupil diameter & use defaults if field left empty 1-q\C<Q) If dlg.TextBox1 = "" Then bG\1<:6B A = 0 'Default accommodation J :, Else [J:vSt A = CDbl(dlg.TextBox1) 1P6~IZVN End If \f._I+gJ RPLr7Lb If dlg.TextBox2 = "" Then FmnA+fA pupilDiam = 4 'Default pupil diameter OxqP:kM Else 654PW9{( pupilDiam = CDbl(dlg.TextBox2) <01MXT- End If 6C)OO"Bc ECl[v%R/6 Print " " /wIZ ' Print "Accommodation = " & A & " Diopters" 4u:{PN Print "Pupil Diameter = " & pupilDiam & " mm" ]Q^oc 1f~_# EIC ' Calculate new parameters with accommodation QAX+oy taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness X2o5Hc)l< #`?uV)( Rant = 12.0 - 0.4*A 'Radius of anterior lens #&DJ3(T CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .%D] z{'' 6g$+ ))g Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Ot v{#bB$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens =#1/<q)L i++ F&r[ tlens = 3.767 + 0.04*A 'Lens thickness aIkxN& #
VR}6Jv nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^QXUiXzl cbS8~Xmj 'Adjust parameters to account for accommodation vn|X,1o f *)t<1f '************************************************************************* igz&7U8gg 'Aqueous thickness (Position of Lens) :%s9<g;-h_ '************************************************************************* viKN:n! Ev eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <$ '#@jW GetCustomElement eID, entity bp5hS/A^1w M~3(4, parID = FindFullName( "Geometry.Arizona Eye" ) t$s)S> x37r{$2 ' Delete any shift(s) in z J&h 3, count = 0 8B\,*JGY2 While GetOperationCount(eID)>count $k}+,tHtJO GetOperation eID, count, op R(x%<I If op.Type="ShiftZ" Then r\L:JTZ$ DeleteOperation eID,count f61~%@fE count=count-1 6I 2`m(5 End If 48w3gye count=count+1 ,![C8il, Wend a!wPBJJ X/'B*y'=U 'Set new shift in ,P5HR+h op.Type = "ShiftZ" Cvi-4 op.val1 = taq R:OoQ^c op.parent = parID 8CMI\yk AddOperation eID, op wwE9|'Ok Print "Set aqueous humor thickness = " & taq-0.55 ;Q-sie(# P]INYH '************************************************************************* w=O:|Xu#* 'Radius and conic constant of anterior lens v]vrD2L '************************************************************************* 4|x5-m+T eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) .bew,92 GetConic eID, entity, curv, conic w[loV YIjBKh SetConic eID, entity, 1/Rant, CCant ./.E=,j Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant M3 u[E L P.- '************************************************************************* 0wxQ,PI1' 'Radius and conic constant of posterior lens ~H?RHYP~ '************************************************************************* `5h$@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0]NjsOU= GetConic eID, entity, curv, conic l--xq^,`o] LvE|K&R| SetConic eID, entity, 1/Rpost, CCpost sp'q=^t Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost FVL0K(V( h&[!CtPm '************************************************************************* !/Hln;{ 'Lens thickness (Position of posterior lens surface) wG19NX( '************************************************************************* ])0&el3- @$Z5Ag! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Hk$|.TjzI P0UMMn\-# ' Delete any z-shift(s) YjLPW@ count = 0 qo4AQ}0 < While GetOperationCount(eID)>count pHKj*Y GetOperation eID, count, op ;LthdY()n( If op.Type="ShiftZ" Then 9O P
d'f DeleteOperation eID,count v k.Y2
: count=count-1 B.|2w End If Hya*7l']B count=count+1 (w@|:0t^y[ Wend R3%T}^;f T?E2;j0h'# 'Set new z-shift m[]pIXc( op.Type = "ShiftZ" A#LK2II^ op.val1 = tlens Hq6VwQu? op.parent = parID Mx0c
#d. AddOperation eID, op B8;_h#^q Print "Set lens thickness = " & tlens C[ <&%=
G74<sD '************************************************************************* O:pQf/Xn 'Lens index of refraction Je+L8TB '************************************************************************* Qa(u+
eID = FindMaterial( "Lens" ) &UQKZ. GetModelMaterial eID, mat \ssuO Oj~k 1+* mat.Nd = nlens G8f7N;D SetModelMaterial eID, mat ?Q:se Print "Set lens index of refraction = " & nlens dID]{ :IbrV@gN{@ '************************************************************************* `hI1 'Pupil diameter jAN(r>zVL '************************************************************************* xLq+njH E eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) dax|4R I\`:(V 'Adjust pupil diameter (trimming volume inner hole) (|h<{ -L 32YE% SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" F_\\n#bv P@
1D ' Adjust pupil location to just in front of the lens t[)z/[m parID = FindFullName( "Geometry.Arizona Eye" ) ]^ZC^z;H eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) z[IG+2 count = 0 /O/u5P{J While GetOperationCount(eID)>count iTqv= GetOperation eID, count, op LP#CA^*S If op.Type="ShiftZ" Then rx|/]NE; DeleteOperation eID,count s13Iu# count=count-1 Z*jhSy End If !Z<Z"R/ count=count+1 (:M6*RV Wend PY)C=={p op.Type = "ShiftZ" 69O?sIk op.val1 = taq-0.01 rQN+x|dKMb op.parent = parID FSc730rM AddOperation eID, op &hjrJ/'^ 5orA#B Print "Set pupil diameter = " & pupilDiam 2Np9*[C ls 'QfJm 'Update AZ Eye subassembly Description 3)__b:7J eID = FindFullName( "Geometry.Arizona Eye" ) q35%t61Lc GetEntity eID, entity [@Uc4LX entity.Description = "Accommodation = " & A & "D" u&2uQ-T0 SetEntity eID, entity wz>j>e6k` i&Xr+Zsec" Update c\]h YKA Print "DONE!" h,
+2Mc< &'T7 ~M: End Sub g7_a8_ BU]9eF!>h 如果屈光度是4,光瞳直径是4,则会输出如下数据: \A keC 6[D )wSsxX7: Accommodation = 4 Diopters /HI#8 Pupil Diameter = 4 mm 2R:['QT Set aqueous humor thickness = 2.81 O#cXvv]Z* Set anterior lens radius = 10.4 and conic constant = -2.375869 [Gt|Qp[ Set posterior lens radius = -4.424557 and conic constant = -3.081019 AkT_ZU> Set lens thickness = 3.927 vA(3H/)- Set lens index of refraction = 1.42672 A -c3B+ Set pupil diameter = 4 DV{Qbe#In DONE! 7QQ1oPV
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