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简介 cI'n[G wpuK?fP 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。 $]
"M`h 'mbLK#q 模型 V~[b`&F
R|$AcNp 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。 #55:qc>m ofV0L Table 1. AZ眼睛模型的定义 mf$YsvPq*+ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Q&xH &H%/.4la 光源 I51]+gEN F0p=|W 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 sWte& 6vsA8u(|V# 'k[qx} 图1. 光源和提示信息使用 (&Rk#i U
2 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 tngB;9c+w KCyV |,+n 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 QR#>Ws XJ\R'?j 图2. 字母F光源的设定方法光 x
C&IR* u6Gqg(7hw 图3. 字母F在视网膜上位置点列图 IZj`*M%3 视网膜的散射 TPJF?.le
' k3qQU) 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 a%B&F|u |Q3d7y yy8-t2V 图4. 视网膜朗伯散射设定 ?iP7Ki 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 7Dbm
s(:( ?'6@m86d {73V?#P4 图5. 视网膜重点采样规格设定 H]R/=OYBUh 脚本 bpwA|H%{M qx5`lm~L 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: /S]RP>cQ MSQ^ovph 图6. 用户对话框的创建与编辑 P-Y_$Nv0g 图7. 用户对话框编辑器 7j\^h2 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。 ?I6rW JcQ6 余下的脚本计算与屈光度有关的所有参数。 BA:x*(%~ 1 ;$XX#7o 分析 s6 g"uF>k }8x+F2i 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 sh_;98^ ]##aAh-P4& 图7. 字母F在视网膜上颜色分析 w-pgtO|Us 脚本代码 s)]j X 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 6/8K2_UeoW Dim parID As Long xc#t8` Dim count As Integer x8rg/y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5U~KYy^v Dim tlens As Double, nlens As Double %42a>piev Dim curv As Double, conic As Double r&E gP Dim ok As Long |&= -Nm [j0[c9.p[ Sub Main
[Jt}^ T%eBgseS '用户输入对话框 8D )nM| Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *,$5EN TextBox 220,21,40,21,.TextBox1 'default: 0 bXnUz?1!d Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \s*M5oN]] OKButton 40,91,90,21 /9R0}4i7 CancelButton 190,91,90,21 fIoc)T Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :0l+x0l} TextBox 220,49,40,21,.TextBox2 'default: 4 7{F\b End Dialog M_ukG~/ Dim dlg As UserDialog wN!\$i@E: V6][*.i!9 ok = Dialog (dlg) [LnPV2@e src9EeiV If ok=0 Then 'cancel button was pressed !l
$d^y345 Print "Execution cancelled." :'DyZy2Fd End Qfn:5B]tI End If _Z0 .c@0 %b^4XTz 'Assign accommodation and pupil diameter & use defaults if field left empty t<Acq07 If dlg.TextBox1 = "" Then g{]6*`/Z A = 0 'Default accommodation Z`tmuu Else oPmz$]_Z A = CDbl(dlg.TextBox1) YcobK#c End If 0DicrnH8 o`S``?`^)^ If dlg.TextBox2 = "" Then ))=6g@( pupilDiam = 4 'Default pupil diameter 0V~zZ/e Else nEsD+}E? pupilDiam = CDbl(dlg.TextBox2) i&:SWH= End If NuQ!huh 7
XxZF43 Print " " k77IXT_7u Print "Accommodation = " & A & " Diopters" U*C^g}iA Print "Pupil Diameter = " & pupilDiam & " mm" MR1I"gqE}I sGu.G ' Calculate new parameters with accommodation %P0 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0 %~~IT}U K
";Et Rant = 12.0 - 0.4*A 'Radius of anterior lens *K|~]r(F? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3*h"B$g! <,)R`90_X6 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens qk<jvha CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens K KB+o)*W [q?RJmB] tlens = 3.767 + 0.04*A 'Lens thickness 9w=7A>.U Ah2 {kK nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ?9\D(V V;%ug'j 'Adjust parameters to account for accommodation N\PdX$ r'*$'QY-N '************************************************************************* N#ggT9>X 'Aqueous thickness (Position of Lens) qLCNANWnd '************************************************************************* F{ %*(U eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <<0sv9qw1 GetCustomElement eID, entity "TA0--6 d=vuy
parID = FindFullName( "Geometry.Arizona Eye" ) @}4aF| V?M(exN ' Delete any shift(s) in z A08kwYxiW count = 0 wtYgHC}X While GetOperationCount(eID)>count 2=_$&oT** GetOperation eID, count, op }b\hRy~=r If op.Type="ShiftZ" Then |SOLC DeleteOperation eID,count #yH+ENp0
count=count-1 T[SK>z End If a$=~1@ count=count+1 76tn`4NIP Wend OIPY,cj~ VL*KBJ 'Set new shift in , -Hj op.Type = "ShiftZ" mXz*Gi op.val1 = taq EX8+3>) op.parent = parID !h.hJt AddOperation eID, op U823q-x Print "Set aqueous humor thickness = " & taq-0.55 w-n}&f [#Qf#T%5h '************************************************************************* 3&y-xZ u] 'Radius and conic constant of anterior lens BEOPZ[Q|c '************************************************************************* Wq4<9D eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :IZAdlz[@ GetConic eID, entity, curv, conic ;dzL9P9IU (\F9_y,6*\ SetConic eID, entity, 1/Rant, CCant #Nh'1@@ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant (F&LN!Hn>p bA)nWWSg= '************************************************************************* m#'eDO: 'Radius and conic constant of posterior lens Y!L-5|G '************************************************************************* osXEzr( eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) pT|s#-} GetConic eID, entity, curv, conic D|ceZ <9x d^=)n-!T SetConic eID, entity, 1/Rpost, CCpost t$$YiO Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost T_D3WHp r]!#v{#. '************************************************************************* *:n7B\. 'Lens thickness (Position of posterior lens surface) Lng. X8D '************************************************************************* 94w)Yln ^.6yzlY parID = FindFullName( "Geometry.Arizona Eye.Lens" ) M G$+Blw> [h'u@%N|/ ' Delete any z-shift(s) ?>B?*IK! count = 0 q@wD@_ While GetOperationCount(eID)>count c]uieig0~ GetOperation eID, count, op ZPH_s^ If op.Type="ShiftZ" Then ;O}%SCF7 DeleteOperation eID,count gO8d2?Oh count=count-1 Fl_}Auj{&( End If ':(AiD -} count=count+1 23tX"e Wend a<&K^M& {d.z/Buu 'Set new z-shift N~,Ipf op.Type = "ShiftZ" _3aE]\O[ op.val1 = tlens 9K@I op.parent = parID 3Z";a AddOperation eID, op SZW_V6\t> Print "Set lens thickness = " & tlens HS<Jp44 )J[m>tyY5 '************************************************************************* j1;[6XG 'Lens index of refraction _|u}^MLO '************************************************************************* ~s+vJvWz eID = FindMaterial( "Lens" ) bh@Ct nO GetModelMaterial eID, mat Yk|6?e{+) b,^ "-r mat.Nd = nlens =_`q;Tu= SetModelMaterial eID, mat jQV[zcM Print "Set lens index of refraction = " & nlens n}UJ-\$ ,Wd=!if '************************************************************************* *F1TZ_GS 'Pupil diameter e8<}{N0,n '************************************************************************* Z4i))%or eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) >pp/4Ia! sMMOZ'bT 'Adjust pupil diameter (trimming volume inner hole) kf'(u..G *>a=ku:? SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" "<=4]Z Ef`'r)) ' Adjust pupil location to just in front of the lens W^8 parID = FindFullName( "Geometry.Arizona Eye" ) Da 7(jA+ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) TnN
ythwZ count = 0 KdkL_GSLT While GetOperationCount(eID)>count UDI\o1Rbp GetOperation eID, count, op a(vt"MQ_ If op.Type="ShiftZ" Then >1`4]%
DeleteOperation eID,count F\r"Y)|b= count=count-1 1Rd|P<y End If {
YQS fk count=count+1 ,
@jtD*c) Wend NWn*_@7; op.Type = "ShiftZ" :2KHiT5 op.val1 = taq-0.01 `/[5/% op.parent = parID dE"_gwtX AddOperation eID, op O5r8Ghf) '!^7 *@z Print "Set pupil diameter = " & pupilDiam =Q<VU/
x\Q}fk?{t 'Update AZ Eye subassembly Description d3q%[[@ eID = FindFullName( "Geometry.Arizona Eye" ) ]B )nN': GetEntity eID, entity ~Y`ys[Z m entity.Description = "Accommodation = " & A & "D" *1EmK.-'u SetEntity eID, entity 8vuTF*{yZ N~flao^ Update ?7NSp2aq2A Print "DONE!" u~OlJ1V t[TM\j0jW End Sub 9;LjM ~Ct j;.P 如果屈光度是4,光瞳直径是4,则会输出如下数据: ]6M<c[H> +\Vw:~e Accommodation = 4 Diopters e$s&B!qJ Pupil Diameter = 4 mm !!Ww#x~k$[ Set aqueous humor thickness = 2.81 >s5}pkAv|e Set anterior lens radius = 10.4 and conic constant = -2.375869 Az@@+?,%Y Set posterior lens radius = -4.424557 and conic constant = -3.081019 W7n^]~V Set lens thickness = 3.927 BX$<5S@ Set lens index of refraction = 1.42672 ^>E>\uz0v Set pupil diameter = 4 v'?Smd1v
/ DONE! 8?82 p [TA.|7& bIGcszWr QQ:2987619807 %j^QK>%
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