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简介 $IUT5Gia` '@ (WT~g 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 b P4R aj|I[65 模型 j#Bea , _Cj u C`7 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 V)f/umT%g 4{[Df$'e> Table 1. AZ眼睛模型的定义 L6J=m#Ld 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. nO,<`}pV iRBUX`0 光源 Qt+ K,LY 59FAhEg 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。 Qf6Vj,~N -c~nmPEG6 jDqe)uVvtV 图1. 光源和提示信息使用 HYZ94[Ti 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。 /RIvUC1 ggzg,~V 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。 A<ur20 AQDT6E: 图2. 字母F光源的设定方法光 b(wW;C'#0p 4
B"tz! 图3. 字母F在视网膜上位置点列图 _qR1M):yJ 视网膜的散射 ))K3pKyb H3H3UIIT_ 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。 >MauuL,.j g0:mm,t\ ^dJ/>?1 图4. 视网膜朗伯散射设定 C1:efa<wV 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。 t5\~Z}G8 XkDjA#nx` mg;+Th& 图5. 视网膜重点采样规格设定 GKTrf\"c 脚本 [nZ3}o T<=Ci?C
v 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: K@)Hm\* _?x*F?5= 图6. 用户对话框的创建与编辑 m}54yo 图7. 用户对话框编辑器 Fo|6 PoSo 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。 ,edX;`# 余下的脚本计算与屈光度有关的所有参数。 Uf}s6# xX.fN7[ 分析 R^.E";/h OlL
FuVR 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Mj&q"G s2FJ^4 图7. 字母F在视网膜上颜色分析 Q=}p
P* 脚本代码 w] i&N1i "g;^R/sfq Option Explicit 'Remove this to enable non-dimensioned variables to be used. _z4c7_H3 C_mPw Dim entity As T_ENTITY 6 9_etv Dim op As T_OPERATION M0YV Qa Dim mat As T_MODELMATERIAL 9 +k7x, Dim A As Double 2R66 WKQ Dim pupilDiam As Double tgCEz% Dim eID As Long ~>2@55wElp Dim parID As Long 2I(b ad Dim count As Integer .Zv@iL5 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double e <2?O Dim tlens As Double, nlens As Double A\nL(Nd Dim curv As Double, conic As Double FH:^<^M Dim ok As Long E%@,n9T~" e"Kg/*Ji1 Sub Main 'id]<<F 4iMo&E< '用户输入对话框 "Qj;pqR Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 K: hZ TextBox 220,21,40,21,.TextBox1 'default: 0 FRqJ#yd] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =|_:H$94 OKButton 40,91,90,21 7VQ|3`!< CancelButton 190,91,90,21 cBs:7Pnp% Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 AJ1(q:P TextBox 220,49,40,21,.TextBox2 'default: 4 f"My;K $l; End Dialog Y%eFXYk. Dim dlg As UserDialog 53=5xE= `D /D2
cY> ok = Dialog (dlg) "5:^aC] >1u!(-A If ok=0 Then 'cancel button was pressed -]HPDN,OB Print "Execution cancelled." M#ED49Dh> End k@vN_Un End If 0wL-Ak#v T:k-`t0":N 'Assign accommodation and pupil diameter & use defaults if field left empty iG*@( If dlg.TextBox1 = "" Then WxO2 A = 0 'Default accommodation 2IDN?Mw Else 9+><:(, A = CDbl(dlg.TextBox1) av|r^zc End If m?wPZ^u =M39I&N If dlg.TextBox2 = "" Then /BeA-\B pupilDiam = 4 'Default pupil diameter G- nS0Kn: Else A9qbE pupilDiam = CDbl(dlg.TextBox2) ^I2+$ End If wyG7SA od\-o:bS Print " " W:s`;8iM$ Print "Accommodation = " & A & " Diopters" :K
J#_y\rt Print "Pupil Diameter = " & pupilDiam & " mm" y*ux7KO ?VUW.- ' Calculate new parameters with accommodation ;J<K/YdI taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $646"1S Q[sj/ Rant = 12.0 - 0.4*A 'Radius of anterior lens W`auQO CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens qk Hdr2 >|[ l?` Rpost = -5.224557 + 0.2*A 'Radius of posterior lens NmbA~i CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens fSR+~Vy )P>-~G2P tlens = 3.767 + 0.04*A 'Lens thickness O>FE-0rW}e G_m$W3 zS nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction W_JFe(=3, _4+'@u
# 'Adjust parameters to account for accommodation 9UbD=}W @ ={Hx$zL '************************************************************************* xcf`i:\ 'Aqueous thickness (Position of Lens) xhq-$"B '************************************************************************* 5SOl:{A+ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) p>9-Ga GetCustomElement eID, entity )H
HBf< Wycood* parID = FindFullName( "Geometry.Arizona Eye" ) p0r:U<& ?7?hDw_Nk ' Delete any shift(s) in z 4n}tDHvd count = 0 M9*#8> While GetOperationCount(eID)>count xJ=@xfr$ GetOperation eID, count, op 3fdx&}v/ If op.Type="ShiftZ" Then Qg^Ga0Lf6 DeleteOperation eID,count o=%pR| count=count-1
cZVVJUF End If l:'\3-2a count=count+1 ;&K
+x@ Wend 6!& DH#M V1h&{D\" 'Set new shift in 3]z%C' op.Type = "ShiftZ" * |dz.Tr op.val1 = taq >5%;NI5
G op.parent = parID PjxZ3O AddOperation eID, op 4ju=5D]; Print "Set aqueous humor thickness = " & taq-0.55 z+~klv3 y'{*B( '************************************************************************* k/lU]~PE 'Radius and conic constant of anterior lens 8?
U!PW '************************************************************************* j
o +- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vGIe"$hNh GetConic eID, entity, curv, conic s+omCr|H;A ].(l^W SetConic eID, entity, 1/Rant, CCant gS
VWv9+ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant IGKtugU% :"im2J '************************************************************************* eI@nskq# 'Radius and conic constant of posterior lens AP:(/@K| '************************************************************************* LtK= nK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) s+fjQo4 GetConic eID, entity, curv, conic AJJa<c+j ^J]_O_ee$ SetConic eID, entity, 1/Rpost, CCpost WL#E%6p[ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost g]mR;T3 e'y$X;nIv '************************************************************************* \OlB(%E7 'Lens thickness (Position of posterior lens surface) J^y}3ON '************************************************************************* Md5|j0#p !yQ%^g` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 8aMmz!S <Na .6P ' Delete any z-shift(s) UgP count = 0 E&_q"jJRi While GetOperationCount(eID)>count SJai<>k h GetOperation eID, count, op #
9@K If op.Type="ShiftZ" Then b;2[E/JKB DeleteOperation eID,count iTu~Y<'m count=count-1 X{BS] End If f [DZ count=count+1 YLU.]UC Wend ;x|LB>. tso\bxiU 'Set new z-shift ]fdxpqz op.Type = "ShiftZ" h(4&!x
op.val1 = tlens AK_,$'f op.parent = parID %8hx3N8> AddOperation eID, op V/@7XAt Print "Set lens thickness = " & tlens v"v-c!k ? `+G0VT '************************************************************************* %Mxc"% w 'Lens index of refraction jiGXFM2 '************************************************************************* 0/4"Jh$t eID = FindMaterial( "Lens" ) k )=Gyv< GetModelMaterial eID, mat ][V@t^ o ?`LZd:{ mat.Nd = nlens 'mm~+hp SetModelMaterial eID, mat :={rPj-nU Print "Set lens index of refraction = " & nlens k"pN `#c36 '************************************************************************* DPM4v7 S 'Pupil diameter g><itA? '************************************************************************* *!c&[- g eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) u$Ty|NBjn Lyy:G9OV 'Adjust pupil diameter (trimming volume inner hole) /$=<RUE m+ =L}[ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" qbq.r&F& 8 \Uy ' Adjust pupil location to just in front of the lens Fu\!'\6 parID = FindFullName( "Geometry.Arizona Eye" ) Cb
i;CF\{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ' &<saqA count = 0 pp1kcrE\M While GetOperationCount(eID)>count K]H [A, GetOperation eID, count, op "Gc\"'^r If op.Type="ShiftZ" Then ]?*L"()kp DeleteOperation eID,count xDO1gnH% count=count-1 z`2Ais@ao End If CSVL,(Uw count=count+1 du>d ? Wend |576) op.Type = "ShiftZ" W@p 27Tiq op.val1 = taq-0.01 D`hg+64} op.parent = parID 6vr8rJ- AddOperation eID, op rL23^}+^` V[^+lR Print "Set pupil diameter = " & pupilDiam K0^Tg+U($p 5XF&yYWq 'Update AZ Eye subassembly Description #%{x*y:Ms eID = FindFullName( "Geometry.Arizona Eye" ) P ,*yuF|bk GetEntity eID, entity "YoFUfaNg entity.Description = "Accommodation = " & A & "D" LLU]KZhtY| SetEntity eID, entity 5]F4.sa 5{\ ;7( Update 7$A=|/'nSA Print "DONE!" 7f]O / %~E Oq\& End Sub P:k!dRb9{ |TRl>1rv 如果屈光度是4,光瞳直径是4,则会输出如下数据: sL4+O P- 2bt).gGm Accommodation = 4 Diopters jVInTR0f[ Pupil Diameter = 4 mm Gi Max Set aqueous humor thickness = 2.81 oA`G\Xh_E Set anterior lens radius = 10.4 and conic constant = -2.375869 .,&6 x. Set posterior lens radius = -4.424557 and conic constant = -3.081019 3bZ:*6W.6 Set lens thickness = 3.927 M2piJ'T4u Set lens index of refraction = 1.42672 G`R_kg9$ Set pupil diameter = 4 ZL+46fj DONE! 3fq'<5 ^ M <ccfU! 4R28S]Gb QQ:2987619807 <I.{meDg
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