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简介 S4`X^a}pY l=p_ 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。 :MY=Q]l !#_2 ![ 模型 F5RL+rU(h 't}\U&L.{ 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。 lUB?eQuN_ <O
0Q]`i Table 1. AZ眼睛模型的定义 $QwpoVp`~ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. YB7n}r23 WM?-BIlT= 光源 ! e$ZOYe $uDgBZA\ 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。 X':FFD4h Z::I3 Q eZAMV/]jH 图1. 光源和提示信息使用 }n4 T!N 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。 +4_, , I m..ajYSQ 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。 sdZ$3oE. K~vJ/9"|R 图2. 字母F光源的设定方法光 P0}{xq'k9v ?LmeZ}K 图3. 字母F在视网膜上位置点列图 F-wAQ: 视网膜的散射 88v8lt;R 3
R+e 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 s{Qae=$Q [oVM9Q H5x7)1Ir| 图4. 视网膜朗伯散射设定 __'4Qt 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。 ]"Uzn 9=ygkP Y {73V?#P4 图5. 视网膜重点采样规格设定 @!fUp
b 脚本 bpwA|H%{M qx5`lm~L 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: /S]RP>cQ MSQ^ovph 图6. 用户对话框的创建与编辑 P-Y_$Nv0g 图7. 用户对话框编辑器 ]5"k%v| 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 "u7[[.P) 余下的脚本计算与屈光度有关的所有参数。 ;yomaAr &~P4yI;, 分析 -i:WA^yKgw Pl/ dUt_ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 " _2k3 cDY)QUmi 图7. 字母F在视网膜上颜色分析 9KU&M"Yq&i 脚本代码 RH;ulAD6(~ S{;Pga*Px Option Explicit 'Remove this to enable non-dimensioned variables to be used. _M`ZF*o=c ^7spXfSAd Dim entity As T_ENTITY z9ADF(J?0' Dim op As T_OPERATION ?Tc#[B Dim mat As T_MODELMATERIAL (0NffM1 Dim A As Double Q
84t= Dim pupilDiam As Double I@KM2KMN Dim eID As Long _eiqs Dim parID As Long 2/*u$~ Dim count As Integer 0qJ (RB Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 6h>#;M Dim tlens As Double, nlens As Double B[@q.n Dim curv As Double, conic As Double SUUNC06V Dim ok As Long +-@n}xb@ RhE~Rwbx Sub Main |X8?B= 6]?%1HSi '用户输入对话框 h+1|.d Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ~JXz TextBox 220,21,40,21,.TextBox1 'default: 0 w1)TnGT Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \s*M5oN]] OKButton 40,91,90,21 T o["o!(;z CancelButton 190,91,90,21 [nO3%7t@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 v@Uk% O/ TextBox 220,49,40,21,.TextBox2 'default: 4 1<BKTMBq?{ End Dialog @-)?uYw:r Dim dlg As UserDialog ;Sivu-% LIcc0w3 ok = Dialog (dlg) 5I2,za&e Gw<D'b)! If ok=0 Then 'cancel button was pressed <==uK>pET Print "Execution cancelled." TWp w/osW End n?@zp< End If %VO+\L8Fs MV" n{1B 'Assign accommodation and pupil diameter & use defaults if field left empty s?EQ If dlg.TextBox1 = "" Then `MI;.t A = 0 'Default accommodation $t;:"i> Else 1nAm\/&
A = CDbl(dlg.TextBox1) Nu"v
.]Y2 End If ~b~Tq ^+P.f[ If dlg.TextBox2 = "" Then /q IQE&V- pupilDiam = 4 'Default pupil diameter _aFe9+y Else r
W`7<3 pupilDiam = CDbl(dlg.TextBox2) vkE`T5?? End If "bhK%N; |0i{z(B Print " " _c>ww<*3 Print "Accommodation = " & A & " Diopters" F\DiT|?} Print "Pupil Diameter = " & pupilDiam & " mm" :01d9|# yI:
;+K ' Calculate new parameters with accommodation r/sSkF F taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness `}?;Ow&2CY O6G\0o Rant = 12.0 - 0.4*A 'Radius of anterior lens m%[e_eS CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens \AwkK3 dkw.o.e Rpost = -5.224557 + 0.2*A 'Radius of posterior lens }%u#TwZ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens L(;$(k-/( \\dUp>1= tlens = 3.767 + 0.04*A 'Lens thickness =>;&M)+q /"Vd( K2Z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <r#FI8P;X
oy8jc];SO 'Adjust parameters to account for accommodation v?VDASR2` ^K<3_D>1> '************************************************************************* \|0z:R;X 'Aqueous thickness (Position of Lens) /i,n75/y? '************************************************************************* ZHNL~=r} eID = FindFullName( "Geometry.Arizona Eye.Lens" )
mWv$eR GetCustomElement eID, entity \n[kzi7 o.ZR5 `. parID = FindFullName( "Geometry.Arizona Eye" ) `<nxXsLe G3Dg B! ' Delete any shift(s) in z 'f6H#V*C
count = 0 r84^/+"T While GetOperationCount(eID)>count p]mN) GetOperation eID, count, op G(7%*@SX If op.Type="ShiftZ" Then lbAhP+B DeleteOperation eID,count EHC7b^|3} count=count-1 "-=fi
'D End If k'st^1T count=count+1 tDRR 3=9pX Wend )h}IZSm @s1T|}AJ 'Set new shift in eUy*0 op.Type = "ShiftZ" u!K1K3T6k op.val1 = taq H{Ewj_L op.parent = parID "Pwa}{ AddOperation eID, op C-y MWr Print "Set aqueous humor thickness = " & taq-0.55 W0f^!}f( ^)-[g '************************************************************************* >:-e 'Radius and conic constant of anterior lens '{ _ X1 '************************************************************************* ^sf,mM~D eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) u+j\PWOtm GetConic eID, entity, curv, conic Rge>20uTl$ iAz0 A SetConic eID, entity, 1/Rant, CCant ["D!IqI: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N6._Jb Z[nHo' '************************************************************************* n[Q(q[ULV 'Radius and conic constant of posterior lens q\@Zf} '************************************************************************* 3Z?ornS eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) rQ.zqr GetConic eID, entity, curv, conic &G"s!: |`o|;A] SetConic eID, entity, 1/Rpost, CCpost z,aMbgt Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =Ydrct @/s|<* '************************************************************************* j,i9,oF6] 'Lens thickness (Position of posterior lens surface) v%:deaF
'************************************************************************* z6R|1L 1 u
]"fwkL parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;}E}N:A F1.Xk1y% ' Delete any z-shift(s) $eFMn$o count = 0 )NZH{G While GetOperationCount(eID)>count UfX~GC;B GetOperation eID, count, op Mc,|C) If op.Type="ShiftZ" Then IB;yL/T DeleteOperation eID,count 46g0
e count=count-1 %C/p+Tg End If .aT@'a{F count=count+1 "B{3q`( Wend :6Nb,Hh~ "%Ok3Rvv 'Set new z-shift <G}Lc op.Type = "ShiftZ" KM;H '~PZi op.val1 = tlens
P\MDD@ op.parent = parID Pg8.RvmQ AddOperation eID, op 6=/sEz S' Print "Set lens thickness = " & tlens W/,bz",v3 d}Pfj=W '************************************************************************* DP@1to@ 'Lens index of refraction 5[4wN(
) '************************************************************************* x[58C + eID = FindMaterial( "Lens" ) M*0^<e~]F GetModelMaterial eID, mat v/ N[)< v^ ^Ibv mat.Nd = nlens Es+I]o0K SetModelMaterial eID, mat !CU-5bpu Print "Set lens index of refraction = " & nlens yn\c;Z &?R/6"J '************************************************************************* Q/SO%E`E 'Pupil diameter >+J}mo=* '************************************************************************* *F1TZ_GS eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e8<}{N0,n }!_z\'u 'Adjust pupil diameter (trimming volume inner hole) _]zX W @4y?XL(n SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" F- -g?Q^ v;\cM/&5 ' Adjust pupil location to just in front of the lens "<=4]Z parID = FindFullName( "Geometry.Arizona Eye" ) Ef`'r)) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) W^8 count = 0 Da 7(jA+ While GetOperationCount(eID)>count TnN
ythwZ GetOperation eID, count, op KdkL_GSLT If op.Type="ShiftZ" Then 7<)H?;~; DeleteOperation eID,count j;`pAN(' count=count-1 q'8*bu_ End If TBt5Nqks- count=count+1 cjL)M=pIS Wend HX2u{2$ op.Type = "ShiftZ" {Phq39g op.val1 = taq-0.01 LG:k}z/T op.parent = parID B<I(t"s AddOperation eID, op d'96$e o~
[QxP9EC Print "Set pupil diameter = " & pupilDiam w8X5kk
'etA1]<N 'Update AZ Eye subassembly Description @.7/lRr@bp eID = FindFullName( "Geometry.Arizona Eye" ) )>1}I_1j) GetEntity eID, entity )IcSdS0@M entity.Description = "Accommodation = " & A & "D" QwX81*nx SetEntity eID, entity Ypzmc$Xfu oH w!~c7 Update >h8m)Q Print "DONE!" !-`L1D_hy &j:e<{@ End Sub MZ}0.KmaZ //c6vG 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2FuV%\p i!2k f Accommodation = 4 Diopters }@HgF M" Pupil Diameter = 4 mm \H .Cmm^I Set aqueous humor thickness = 2.81 dI\_I] Set anterior lens radius = 10.4 and conic constant = -2.375869 ^gcB+ Set posterior lens radius = -4.424557 and conic constant = -3.081019 32K& IfV Set lens thickness = 3.927 !M8_PC*a Set lens index of refraction = 1.42672 ta{24{?M\ Set pupil diameter = 4 "9P @bA DONE! ~u$cX1M 9KX% O-' ;+\h$ QQ:2987619807 #Gi`s?
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