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简介 ysIh[1E~%: vP@v.6gS, 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。 3l<S}k@M) q_W0/Ki8 模型 SHb(O<6 bOp54WI-g 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。 8x{B~_~ \qvaE+ Table 1. AZ眼睛模型的定义 ,bE$| x' 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. @.$Xv>Jt$ Q^K "8 ; 光源 +z9@:L U!%!m' 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。 V(MFna) oY~ Dg :HxA`@Ok 图1. 光源和提示信息使用 9vNkZ-1 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。 t&Os;x?To? =$8nUX` 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ./j,Z$| p,pR!qC> 图2. 字母F光源的设定方法光 )? M9|u K
]OK:hY4 图3. 字母F在视网膜上位置点列图 }0`nvAf 视网膜的散射 ,h\s F#| 8 #X5K 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。 ; R=.iOn H`8``#-|@S f=!PllxL: 图4. 视网膜朗伯散射设定 j6~nE'sQ 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。 *rZ^^`4R rKHY?{! {HC@u{K- 图5. 视网膜重点采样规格设定 Ogt]_ 脚本 U`Jy!x2m 8By,#T". 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: j#~Jxv%n 3bqC\i^[\m 图6. 用户对话框的创建与编辑 ]W0EVf=,k 图7. 用户对话框编辑器 )yY6rI;: 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。 Giq=*D+ 余下的脚本计算与屈光度有关的所有参数。 DcIvhB p Glq85S 分析 YI-O{U TvNY:m6.% 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 p2J|Hl| dt[k\ !-v 图7. 字母F在视网膜上颜色分析 KV|}# <dD 脚本代码 [>#*B9 Uw-p758dD Option Explicit 'Remove this to enable non-dimensioned variables to be used. qjJBcu_C'S 3ZTE<zRQ Dim entity As T_ENTITY ]J9cVp Dim op As T_OPERATION k+V6,V)my Dim mat As T_MODELMATERIAL 8,O33qwH Dim A As Double !|2VWI} Dim pupilDiam As Double ]Ni$.@Hu$ Dim eID As Long $rXh0g Dim parID As Long 7@.cOB`y@3 Dim count As Integer [ rNXQ`/ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ,U)"WLmY Dim tlens As Double, nlens As Double Bb&^{7 Dim curv As Double, conic As Double FtufuL?JS Dim ok As Long ,:Vm6u! ?Y:x[pOe Sub Main 5#3W5z C=uZ1xg*, '用户输入对话框 1tCQpf Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z'^U ad6 TextBox 220,21,40,21,.TextBox1 'default: 0 n/QF2&X7) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 D2YZ9e
OKButton 40,91,90,21 VHOfaCE CancelButton 190,91,90,21 9p$V)qdX Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \JG8KE=j TextBox 220,49,40,21,.TextBox2 'default: 4 ~,D@8tv End Dialog 1%M&CX Dim dlg As UserDialog M >:]lpRK 9/ SXs0 ok = Dialog (dlg) O_$dI*RK d;Hn#2C If ok=0 Then 'cancel button was pressed h@7FY Print "Execution cancelled." z|G9,:9 End 4fh^[\ End If zeP}tzQO @=w<B4L 'Assign accommodation and pupil diameter & use defaults if field left empty [w
-{r+[ If dlg.TextBox1 = "" Then _a_xzv' A = 0 'Default accommodation 2:}fe} Else i$^)UZJ&0 A = CDbl(dlg.TextBox1) ~5ZvOX6L2 End If Xf=XBoN| "O+5R(XT If dlg.TextBox2 = "" Then d-bqL:/ pupilDiam = 4 'Default pupil diameter 4vK8kkW1 Else qP!eJ6[Nh" pupilDiam = CDbl(dlg.TextBox2) Xqp|VbDca End If yTE%hHH]&[ 3>zN/f Print " " wI M{pK Print "Accommodation = " & A & " Diopters" RO\gax Print "Pupil Diameter = " & pupilDiam & " mm" L+B?~_* DPe]daF ' Calculate new parameters with accommodation d
"BW/%m|g taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ^\ ?O4,L g}&hl"j Rant = 12.0 - 0.4*A 'Radius of anterior lens HLQ"?OFlz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens PYB+FcR6?n @J[6,$UVu Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ]u-SL md CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens g1(Xg. gOT+%Ab{_ tlens = 3.767 + 0.04*A 'Lens thickness 5_K5?N 39e; nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction @#+jMV$g lM\LN^f5* 'Adjust parameters to account for accommodation `|1MlRM9 I4H`YOD% '************************************************************************* I9$c F)zk 'Aqueous thickness (Position of Lens) I^*'.z!4Q '************************************************************************* VvByHcLv eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Q^}%c
U0 GetCustomElement eID, entity !2Dy_U= ~>G]_H]? parID = FindFullName( "Geometry.Arizona Eye" ) WV;=@v [{[N( g&d ' Delete any shift(s) in z W:&R~R count = 0 NX* O_/ While GetOperationCount(eID)>count {hSGv GetOperation eID, count, op S6nhvU: If op.Type="ShiftZ" Then u%|zc= DeleteOperation eID,count ,7]k fB count=count-1 ^jdL@#k00 End If CDMfa&;T count=count+1 [y)FcIK} Wend ,reJ(s 'iSAAwT2aj 'Set new shift in p?(L'q"WK op.Type = "ShiftZ" CF
y}r(q op.val1 = taq HgBJf~q~U op.parent = parID L/}iy} AddOperation eID, op k@!r#`j3 Print "Set aqueous humor thickness = " & taq-0.55 uE_c4Hp ]rd/;kg.S '************************************************************************* l1_X(Z._V 'Radius and conic constant of anterior lens \L!uHAE2a '************************************************************************* `%K`gYhG1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) m/&i9A GetConic eID, entity, curv, conic :LJ7ru2 yFIy`9R SetConic eID, entity, 1/Rant, CCant -*VKlZ8- Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ={(j`VSUX0 XaI;2fMGI '************************************************************************* ?dy~mob 'Radius and conic constant of posterior lens 7l8[xV
'************************************************************************* BW[5o3
i eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 8@K^|xeQ GetConic eID, entity, curv, conic uq7T{7~< y+mElG$F SetConic eID, entity, 1/Rpost, CCpost U)jUq_LX Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost *3{J#Q6fk3 }F1s
tDx '************************************************************************* u4'z$>B 'Lens thickness (Position of posterior lens surface) kN9yO5h7 '************************************************************************* 1IH[g*f :{g7lTM parID = FindFullName( "Geometry.Arizona Eye.Lens" ) =WZ%H_oxi I@7/jUO ' Delete any z-shift(s) HQVh+ ( count = 0 Y)HbxFF`/ While GetOperationCount(eID)>count '8Wv.X0` GetOperation eID, count, op 60B-ay0e$b If op.Type="ShiftZ" Then v#w _eqg DeleteOperation eID,count E:A!wS`" count=count-1 cf8-]G?tK End If T{MC-j _T9 count=count+1 Ueyw;Y Wend =V $j6 #!#z5DJu 'Set new z-shift 2hOPzv&B op.Type = "ShiftZ" f@z*3I; op.val1 = tlens <!x+eE` op.parent = parID _vYzF+ AddOperation eID, op 0Qd%iP)6 Print "Set lens thickness = " & tlens `| 9K u 1M5 -pZ[D '************************************************************************* =&U`9qN 'Lens index of refraction z]#hWfM4B: '************************************************************************* >]$aoA# eID = FindMaterial( "Lens" ) |HbEk[?^s GetModelMaterial eID, mat >9(i)e Q_P5MLU> mat.Nd = nlens =Sxol>?t SetModelMaterial eID, mat &TT":FPR Print "Set lens index of refraction = " & nlens }=@zj6AC !oMt_k X '************************************************************************* g()m/KS< 'Pupil diameter tHI*, '************************************************************************* D s-` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) J/Q|uRpmqr {yq8<? 'Adjust pupil diameter (trimming volume inner hole) f'{>AKi=C jxY-u+B SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 'DAltr< Yo2Trh ' Adjust pupil location to just in front of the lens ~775soN parID = FindFullName( "Geometry.Arizona Eye" ) 0n5UKtB eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }iNY_I c count = 0 k&GHu0z While GetOperationCount(eID)>count -9G]x{> GetOperation eID, count, op 9*p G?3*I If op.Type="ShiftZ" Then !<Z{@7oH DeleteOperation eID,count Zoow*`b|$U count=count-1 |=3 *;} End If ?)cJZ>$!w count=count+1 .cR*P<3O Wend (!n-Age op.Type = "ShiftZ" N$Hqa^!'T op.val1 = taq-0.01 `^%GN8d}nm op.parent = parID 1g i}H) AddOperation eID, op .
bG{T| A?Sm-#n{ Print "Set pupil diameter = " & pupilDiam 6Bdyf(t ^<9)"9)m_ 'Update AZ Eye subassembly Description >B~?dT m eID = FindFullName( "Geometry.Arizona Eye" ) 9p<:LZd~ GetEntity eID, entity E& ]_U$ entity.Description = "Accommodation = " & A & "D" 6D^%'[4t SetEntity eID, entity -A@U0=o I"V3+2e Update )dg UmN Print "DONE!" w4}(Ab<Y ZOHRUm End Sub +~:0Dxv W B}5XRgq 如果屈光度是4,光瞳直径是4,则会输出如下数据: DZAH"sb 4`0;^K. Accommodation = 4 Diopters D[W}[r Pupil Diameter = 4 mm &|] Fg5 Set aqueous humor thickness = 2.81 },3R%?89% Set anterior lens radius = 10.4 and conic constant = -2.375869 UJs?9]x> Set posterior lens radius = -4.424557 and conic constant = -3.081019 PDZ)*$EE Set lens thickness = 3.927 -AeHY'T Set lens index of refraction = 1.42672 <^'{ G Set pupil diameter = 4 (QhAGk&lu DONE! |vN$"mp^a <M>#qd@c
e)og4 QQ:2987619807 Oi#k:vq4
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