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简介 mXI'=Vo!S p. KT=dZT 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。 JZ/T:Hsh4 5C-XQS1 模型 B? 9"Ztb )H+ p6< 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。 6S^JmYq 3x>Y Table 1. AZ眼睛模型的定义 P>'29$1' 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ~)*uJ wW/a ?N&s. 光源 !ezy
v` 4jW <*jM 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。
pzb`M'Z?C {Gw{W&< jXIVR'n( 图1. 光源和提示信息使用 ppnl bL^* 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 =d/$B!t{
^M+aQg% 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。 0a:@DOzT TP mb]j 图2. 字母F光源的设定方法光 p5J!j I= c|X}[ 图3. 字母F在视网膜上位置点列图 5YLc4z* 视网膜的散射 YwZ]J ~-'-<- 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。 4jC7>mE uCc5) oo|Nu+ 图4. 视网膜朗伯散射设定
czH# ~ 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。 Px&)kEQ fzUG1|$e NMESGNa)z 图5. 视网膜重点采样规格设定 qUk-BG8^ 脚本 UQjYWXvi bSa]={}L( 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: G)&!f)6 nI/kX^Pd 图6. 用户对话框的创建与编辑 Rg3g:TV9c 图7. 用户对话框编辑器 PoD/i@ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ;f
/2u 余下的脚本计算与屈光度有关的所有参数。 Zi<(>@z2 v.c.5@%%o 分析 9r
](/"=f gps. 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 5>h/LE]" Qe`Nb4xf 图7. 字母F在视网膜上颜色分析 Aa^w{D 脚本代码 X39%O' ~Xc1y!"9* Option Explicit 'Remove this to enable non-dimensioned variables to be used. |Rz}bsrZ Z<'iT%6+r Dim entity As T_ENTITY izLB4pk$ Dim op As T_OPERATION d w'P =8d Dim mat As T_MODELMATERIAL q><wzCnRu~ Dim A As Double umt(e:3f5 Dim pupilDiam As Double "
"S&zN Dim eID As Long G`f|#-} Dim parID As Long #4V->I Dim count As Integer ~J
>Jd Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 3?TUt{3g Dim tlens As Double, nlens As Double sn+ kFvk}S Dim curv As Double, conic As Double f6m
h_l Dim ok As Long B/B`=%~5_^ Nhtc^DX Sub Main f7Gs1{ f/{ClP. '用户输入对话框 }S{VR(i`J Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *r ('A TextBox 220,21,40,21,.TextBox1 'default: 0 SVPksr Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 j{@li1W@ OKButton 40,91,90,21 a..LbQQ CancelButton 190,91,90,21 "ZuA._ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 K{XE|g TextBox 220,49,40,21,.TextBox2 'default: 4 WfQZ7e End Dialog QN#tj$x Dim dlg As UserDialog <2wC)l3j* f||S?ns_ ok = Dialog (dlg) Th4}$)yrkN ktM7L{Nz If ok=0 Then 'cancel button was pressed 31N5dIi, Print "Execution cancelled." bL|$\'S End .-1'#Z1T End If Gsy'':u 67U6`9d 'Assign accommodation and pupil diameter & use defaults if field left empty r+tHVh If dlg.TextBox1 = "" Then 9 $^b^It A = 0 'Default accommodation NKiWt
Z" Else ~6{U^3 A = CDbl(dlg.TextBox1) L#fK
,r8 End If Q1(4l?X@ f67t.6Vw2+ If dlg.TextBox2 = "" Then W)L*zVj~ pupilDiam = 4 'Default pupil diameter 8Ep! Else !:v7SRUXb pupilDiam = CDbl(dlg.TextBox2) k|$?b7)"@ End If QE721y .&n!4F' Print " " yoM^6o^,D Print "Accommodation = " & A & " Diopters" UDPn4q Print "Pupil Diameter = " & pupilDiam & " mm" v=DC3oh- 3il$V78| ' Calculate new parameters with accommodation 4r#4h4`y| taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness
|{MXDx - *qoF(/U Rant = 12.0 - 0.4*A 'Radius of anterior lens (~fv;}}v CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens wGWv<<Qw" |<%v`* Rpost = -5.224557 + 0.2*A 'Radius of posterior lens DeI3(o7 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 77'@U( 4h
T!DS tlens = 3.767 + 0.04*A 'Lens thickness QkYKm<b N(P2Lo{JF nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Z_mQpt|y 8EU/}Ym 'Adjust parameters to account for accommodation wM}AWmH #VsS C1 '************************************************************************* yTf/]H]d 'Aqueous thickness (Position of Lens) YUTI)&y '************************************************************************* CtZOIx.;| eID = FindFullName( "Geometry.Arizona Eye.Lens" ) q``/7 GetCustomElement eID, entity E@-5L9eJ\ xl9S=^`= parID = FindFullName( "Geometry.Arizona Eye" ) tRNMiU ]1MZ:]k ' Delete any shift(s) in z >u]9(o7I count = 0 WT}xCni While GetOperationCount(eID)>count MjK<n[. GetOperation eID, count, op h)s&Nqg1B If op.Type="ShiftZ" Then @h(Z; DeleteOperation eID,count 3mL(xpT.8z count=count-1 g!Ui|]BI9 End If 2 ]n4)vv, count=count+1 ZuKOscVS#T Wend d+"F(R9 5Ha(i [d 'Set new shift in ,[3}t%Da op.Type = "ShiftZ" 6q,CEm op.val1 = taq V{X/y N.u op.parent = parID f`8?]@y{ AddOperation eID, op }|)T<|Y; Print "Set aqueous humor thickness = " & taq-0.55 g+Y &rz +jO#?J '************************************************************************* 8Nx fYA 'Radius and conic constant of anterior lens |hX\ep '************************************************************************* 4}Lui9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) u/xP$ GetConic eID, entity, curv, conic (3=bKcD' ! 6R| SetConic eID, entity, 1/Rant, CCant ->Fsmb+R Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 5?|y%YH;R\ mRN[lj '************************************************************************* n*TKzn4E 'Radius and conic constant of posterior lens 5acC4v!T '************************************************************************* ($gmN 4 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XANJ A GetConic eID, entity, curv, conic ;u<F,o( _qH]OSo SetConic eID, entity, 1/Rpost, CCpost olm'_{{
Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost vzF6e eaD #c9MVQ_ '************************************************************************* g!i45]6[Nw 'Lens thickness (Position of posterior lens surface) D;OPsNQ '************************************************************************* Ex6Kxd}8 e0IGx]5i parID = FindFullName( "Geometry.Arizona Eye.Lens" ) fc4jbPp:M ]deO\mB ' Delete any z-shift(s) v!=e]w6{ count = 0 S_s;foT While GetOperationCount(eID)>count TN/&^/ GetOperation eID, count, op Ga`
8oY+~ If op.Type="ShiftZ" Then X?] Mzcu DeleteOperation eID,count Z=l2Po n count=count-1 CY"i|s End If Hi U/fi` count=count+1 IvI;Q0E-3 Wend `W7;- #IeG/t( 'Set new z-shift !:~C/B{ op.Type = "ShiftZ" )&-n-m@E op.val1 = tlens F5{GMn;j op.parent = parID COd~H AddOperation eID, op '=d y
= Print "Set lens thickness = " & tlens `.wgRUhFH; Y 2^y73&k '************************************************************************* -$kbj*b## 'Lens index of refraction 0|{":i_s '************************************************************************* (1'sBm7F eID = FindMaterial( "Lens" ) h}}7_I9 GetModelMaterial eID, mat -*2b/=$u k"cKxzB mat.Nd = nlens TLg 9`UA SetModelMaterial eID, mat 5oOs.(m|*C Print "Set lens index of refraction = " & nlens knWI7 L>N)[;| '************************************************************************* r%LG>c`^ 'Pupil diameter ,pW^>J '*************************************************************************
)
urUaE eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2(GLc*B> lg@q}
]1 'Adjust pupil diameter (trimming volume inner hole) YT@N$kOg_ fQw|SW SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }@53*h i( >_X(rar0 ' Adjust pupil location to just in front of the lens }-vP~I parID = FindFullName( "Geometry.Arizona Eye" ) YLV$#a3 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /#}%c' count = 0 t'C9; While GetOperationCount(eID)>count .o8pC GetOperation eID, count, op MF$NcU If op.Type="ShiftZ" Then z7a@'+' DeleteOperation eID,count v^ 1x} count=count-1 u;8bbv4 End If ^AO2%09.S count=count+1 ,- _ReL Wend :5:_Dr< op.Type = "ShiftZ" =.9tRq op.val1 = taq-0.01 <q|eG\01S op.parent = parID +:z%#D AddOperation eID, op S7CD#Y[s &<C&(g{Z Print "Set pupil diameter = " & pupilDiam ^Ux*"\/Es UZE%!OWpeK 'Update AZ Eye subassembly Description > 'JWW*Y! eID = FindFullName( "Geometry.Arizona Eye" ) Ki3wqY GetEntity eID, entity {dV!sQD entity.Description = "Accommodation = " & A & "D" ML
X: S? SetEntity eID, entity jF5oc RY*s }f Update 3N{
ZX{} Print "DONE!" AOCiIPw
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End Sub y(Q.uYz* l3kBt-m 如果屈光度是4,光瞳直径是4,则会输出如下数据: }iR!uhi# d.NB@[?* Accommodation = 4 Diopters 8SMa5a{ Pupil Diameter = 4 mm Js!Zk\O Set aqueous humor thickness = 2.81 Zg!E}B:z Set anterior lens radius = 10.4 and conic constant = -2.375869 om,=.,|Ld Set posterior lens radius = -4.424557 and conic constant = -3.081019 bJ6v5YA% Set lens thickness = 3.927 *\[GfTL Set lens index of refraction = 1.42672 jyjK~!0 Set pupil diameter = 4 !q*]_1 DONE! PPNZ(j /?:]f 1
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