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简介 [B#R94 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。 -.u]GeMy bnq;)>& 模型 s%nUaWp~ )U7t 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。
F4}]b(L =jOv] / Table 1. AZ眼睛模型的定义
-D 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. -Ta9 pxZk :cem,#(= 光源 5\5/ B%)% 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。 ;c-(ObSm 1 d}Z(My v7BA[j Qr 图1. 光源和提示信息使用 9kN}c<o 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。 ~?4PBq ~dgDO:) 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。 /YP{,#p z;{iM/Xe 图2. 字母F光源的设定方法光 );
!eow s C%&cRQD 图3. 字母F在视网膜上位置点列图 `w#Oih!6A| 视网膜的散射 W>Y@^U&x` X$
0?j1 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。 Pk{_(ybaY a
oD`=I*< :)wy.r;N 图4. 视网膜朗伯散射设定 jSh5!6O 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。 8Wrh]egu1 L[oui,}_ &gVN& 图5. 视网膜重点采样规格设定 .zA^)qgL 脚本 sT 3^hY7 zT=Ho
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: 4ni<E* PWaw]*dFmy 图6. 用户对话框的创建与编辑 f2Klt6"9 图7. 用户对话框编辑器 Qi,j+xBp 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。 /\ y?Y 余下的脚本计算与屈光度有关的所有参数。 B8.Pn B6u/mo< 分析 *xx'@e|<; @TLS<~ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 8{wwd:6 BWeA@v 图7. 字母F在视网膜上颜色分析 _X^1IaL 脚本代码 -[*,^Ti` Y l4^AR& Option Explicit 'Remove this to enable non-dimensioned variables to be used. 4x{0iav k$R~R-' Dim entity As T_ENTITY yh Yb'GK Dim op As T_OPERATION 3QV *% Dim mat As T_MODELMATERIAL Jj>?GAir Dim A As Double iZ#!O*> Dim pupilDiam As Double q!{y&.&\ Dim eID As Long oibsh(J3 Dim parID As Long sv: 9clJ Dim count As Integer *;l]8. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (|[2J3ZET Dim tlens As Double, nlens As Double 9v;Vv0k_ Dim curv As Double, conic As Double ,V,`Jf Dim ok As Long 4^p5&5F j#X.KM Sub Main L6t+zIUc-~ 6CV*
Z\b '用户输入对话框 nGpXI\K Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 {'XggI% TextBox 220,21,40,21,.TextBox1 'default: 0 lW+\j3?Z$ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Pj#<K%Bz OKButton 40,91,90,21 ]mo-rhDsM CancelButton 190,91,90,21 8|):`u Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k52/w)Ro,$ TextBox 220,49,40,21,.TextBox2 'default: 4 Qiua End Dialog .R)D3NZp Dim dlg As UserDialog S'|,oUWDb -MW_|MG ok = Dialog (dlg) T m_bz&Q T_i:}ul If ok=0 Then 'cancel button was pressed Q}1 R5@7 Print "Execution cancelled." -(~.6WnhS End Vr )<\h End If FK:;e
lZ cGtO
+DE 'Assign accommodation and pupil diameter & use defaults if field left empty O-ew%@_ If dlg.TextBox1 = "" Then WB?jRYp A = 0 'Default accommodation NE"@Bk
cm Else 98j>1"8 A = CDbl(dlg.TextBox1) x^HGVWw_ End If 19&<|qTz vX{J' H]u If dlg.TextBox2 = "" Then J,V9k[88 pupilDiam = 4 'Default pupil diameter A'j;\
`1 Else $LKIT0 pupilDiam = CDbl(dlg.TextBox2) ~?D4[D|sB End If Te.Y#lCT$ m`v2: S} Print " " t`WB;o! Print "Accommodation = " & A & " Diopters" ~c8?>oN( Print "Pupil Diameter = " & pupilDiam & " mm" ;Yx )tWQI W0(_~ ' Calculate new parameters with accommodation fdxLAC taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness &)8:h+&Z "JVkVp[5D+ Rant = 12.0 - 0.4*A 'Radius of anterior lens u}>#Eb CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens o4`hY/<t ;,$NAejgd Rpost = -5.224557 + 0.2*A 'Radius of posterior lens k>F'ypm CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens E4gYemuN g'pK tlens = 3.767 + 0.04*A 'Lens thickness VGfMN|h |M>eEE*F< nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction c;%_EN% {FO;Yg' 'Adjust parameters to account for accommodation kd=GCO #hW;Ju73 '************************************************************************* x9$` W 'Aqueous thickness (Position of Lens) &K[_J '************************************************************************* _9faBrzd eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R?v>Q` Qi GetCustomElement eID, entity ]Oh@,V8 * 1T& parID = FindFullName( "Geometry.Arizona Eye" ) {_b%/eR1 =CK4.
' Delete any shift(s) in z T:t]"d}} count = 0 A3rPt&<a While GetOperationCount(eID)>count g+DzscIT GetOperation eID, count, op F|F]970 If op.Type="ShiftZ" Then ~1cnE:x;V DeleteOperation eID,count l=]cy-H count=count-1 WzAb|&? End If `kOD[* count=count+1 lwHzj&/ ~ Wend P#pn*L*"T rJPb 3F 'Set new shift in |s)Rxq){"V op.Type = "ShiftZ" &/mA7Vf>eR op.val1 = taq vK 7^*qr;j op.parent = parID 1lq(PGX)
AddOperation eID, op 4 d;|sI@ Print "Set aqueous humor thickness = " & taq-0.55 pM x aF)1Nm[ '************************************************************************* &Q+Ln,(&L 'Radius and conic constant of anterior lens Ae
mDJ8Y '************************************************************************* =3|O%\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) M>DaQ`b GetConic eID, entity, curv, conic Z= jr-)kK 2}YOcnB SetConic eID, entity, 1/Rant, CCant zEs>b(5u Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant I*LknU@ Tg!i%v(-t '************************************************************************* ([
jF4/ 'Radius and conic constant of posterior lens eL^.,H0 '************************************************************************* F_Z- 8>P eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) `^bgUmJ~ GetConic eID, entity, curv, conic K|Ld,bq #6ri-n SetConic eID, entity, 1/Rpost, CCpost 5:O-tgig. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost RMX:9aQ3F MG[o%I96 '************************************************************************* ;epV<{e$q4 'Lens thickness (Position of posterior lens surface) 1=#q5dZ] '************************************************************************* cU0s
p Xg<*@4RD8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) lCAIK 9&upujVS ' Delete any z-shift(s) *_R]*o!W' count = 0 `jzTmt While GetOperationCount(eID)>count I([!]z GetOperation eID, count, op ulu9'ch If op.Type="ShiftZ" Then ~GTz:nC* DeleteOperation eID,count <.pU,T/ count=count-1 Wm_4avXtO End If ,z3{u162 count=count+1 0|2%vh >J Wend _$=
_du >2~+.WePu 'Set new z-shift 7nHF@Y|*" op.Type = "ShiftZ" *F
?8c op.val1 = tlens M>&%(4K op.parent = parID At flf2 K AddOperation eID, op r)Ap8?+ Print "Set lens thickness = " & tlens an4GSL fQ/
0R '************************************************************************* t=_J9| 'Lens index of refraction 7h6,c /< '************************************************************************* BDVHol*g eID = FindMaterial( "Lens" ) D<8HZ%o GetModelMaterial eID, mat `VKf3&|<A ?47@o1 mat.Nd = nlens ZZcEt SetModelMaterial eID, mat &07]LF$] Print "Set lens index of refraction = " & nlens 0GB:GBhZ Xv<B1 '************************************************************************* *GxTX3i}vc 'Pupil diameter g0>,%b '************************************************************************* 43={Xy eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) F;=4vS]\ N-I5X2 'Adjust pupil diameter (trimming volume inner hole) 'rMN=1:iu" /I)yU>o SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" )t$,e2FY '|S%aMLZ) ' Adjust pupil location to just in front of the lens [[>wB[w parID = FindFullName( "Geometry.Arizona Eye" ) *H?!;u=8 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PUo/J~ v count = 0 u}!@ ,/) While GetOperationCount(eID)>count xEf'Bmebk GetOperation eID, count, op ##@$|6 If op.Type="ShiftZ" Then COTp DeleteOperation eID,count 356>QW'm count=count-1 {Zh>mHW3 End If K$ M^gh0 count=count+1 N@O8\oQG Wend L:_bg8eD# op.Type = "ShiftZ" Bn61AFy` op.val1 = taq-0.01 9uRFnzJVx op.parent = parID PQK(0iCo4 AddOperation eID, op .so[I \[gReaI Print "Set pupil diameter = " & pupilDiam QmLF[\Oo_ F1jglH/MF) 'Update AZ Eye subassembly Description GP&vLt51 eID = FindFullName( "Geometry.Arizona Eye" ) r *$Ner GetEntity eID, entity Z^]|o<.<I entity.Description = "Accommodation = " & A & "D" $aN-Y?U% SetEntity eID, entity *uo'VJI7_, = M]iIWQ@` Update g.'yZvaP Print "DONE!" n|b5? 3 P(XaTU&- End Sub 5B&;uY F)+{AQL 如果屈光度是4,光瞳直径是4,则会输出如下数据: Pu"R,a oP!;\a( SL Accommodation = 4 Diopters |1ST=O7.LH Pupil Diameter = 4 mm AC;V
m: @{ Set aqueous humor thickness = 2.81 hQ(qbt{e Set anterior lens radius = 10.4 and conic constant = -2.375869 N\HQN0d9 Set posterior lens radius = -4.424557 and conic constant = -3.081019 L0&RvI# Set lens thickness = 3.927 ^s@8VAwi Set lens index of refraction = 1.42672 Qb)C[5a} Set pupil diameter = 4 FBpH21|/y DONE! dn}` i ?Y:8eD"* (文章来源:讯技光电)
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