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简介 LZ&CGV"Z- L ?KEe>;r 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。 3)0*hq&83 6xz&Qi7w 模型 l`$f@'k Pn 7oQA\ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 qLYv=h$, 2b|vb}|t{ Table 1. AZ眼睛模型的定义 wm2Q(l*HH 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. %t+V8A }aX).u 光源 Kq!n`@ 0TA/ExJ-LT 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。 5-u=ZB%p &2?kD{ JI\u -+BE 图1. 光源和提示信息使用 _\o +9X! 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。 j1d#\ |Ca$>]? 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 }3[ [ONA v/yk T9@; 图2. 字母F光源的设定方法光 ^Gs!" Y a+]=3o 图3. 字母F在视网膜上位置点列图 NmtBn^t 视网膜的散射 :syR4A WM >{GC@Cw 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 u4+VG5.rhT W=)}=^N0 'inWV* P*g 图4. 视网膜朗伯散射设定 `VBjH]$ 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。 @RaMO# ?+Qbr$] T,?^J-h^ 图5. 视网膜重点采样规格设定 c yN_Sg 脚本 kP;Rts8JD 5gJQr%pS 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: PVtQ&m$y .-Ao%A W 图6. 用户对话框的创建与编辑 CB|z{(&N 图7. 用户对话框编辑器 >Xb]n_` 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。 _bMs~%?~/ 余下的脚本计算与屈光度有关的所有参数。 >/'WU79TYE 4L5Wa~5\ 分析 ![Jxh,f QCtG #/ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 -@#AQ\ lXz<jt@5 图7. 字母F在视网膜上颜色分析 bt
j\v[D 脚本代码 }:hdAZ+z {ZfTUt)-P Option Explicit 'Remove this to enable non-dimensioned variables to be used. V@Po} yr;oq(&N Dim entity As T_ENTITY @ObsW!g Dim op As T_OPERATION @8_K^3-~e Dim mat As T_MODELMATERIAL iWtWT1n8n Dim A As Double 7x1jpQ- Dim pupilDiam As Double 14^t{ Dim eID As Long V25u'.'v Dim parID As Long IPT}JX' Dim count As Integer OK2wxf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x3M`l| Dim tlens As Double, nlens As Double 74Kl!A Dim curv As Double, conic As Double beIEy(rA Dim ok As Long ?SQT;C3j( fitm* Sub Main da2BQ; bo@1c0 '用户输入对话框 {(aJrSE<z Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Crey}A/N TextBox 220,21,40,21,.TextBox1 'default: 0 )T2Sw z/ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 N:&Gv'` OKButton 40,91,90,21 8`*`4m CancelButton 190,91,90,21 u|w[b9^r Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E7jv TextBox 220,49,40,21,.TextBox2 'default: 4 kU#$ End Dialog &i!.6M2 Dim dlg As UserDialog AalyEn&> I/'jRM ok = Dialog (dlg) KD#ip3 rN>f"/J
| If ok=0 Then 'cancel button was pressed fC81(5 Print "Execution cancelled." h7%< End @h$7C< End If jdoI)J@9H ,':?3| $c 'Assign accommodation and pupil diameter & use defaults if field left empty pRYt.}/K If dlg.TextBox1 = "" Then ^LnCxA&QH A = 0 'Default accommodation Wk$%0xZ7 Else &{7%VsTB A = CDbl(dlg.TextBox1) y|1-,u.$ End If Ejn19{ L%=u&9DmU If dlg.TextBox2 = "" Then DuCq16'0T pupilDiam = 4 'Default pupil diameter 1o.]"~0: Else /)v X|qtIY pupilDiam = CDbl(dlg.TextBox2) RJSNniYr7 End If JZai{0se |qZ4h7wL Print " " <.:B .k Print "Accommodation = " & A & " Diopters" RX#:27: Print "Pupil Diameter = " & pupilDiam & " mm" '{C=vW R|5w :+=z ' Calculate new parameters with accommodation "|&SC0* taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness m}8c.OJ>K` /pV^w Rant = 12.0 - 0.4*A 'Radius of anterior lens g9
g
&] CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens `@eQL[Z9x mGoUF$9 k Rpost = -5.224557 + 0.2*A 'Radius of posterior lens iao_w'tJ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6&h,eQ! ky[FNgQ3n tlens = 3.767 + 0.04*A 'Lens thickness hXZk$a' >a]{q^0 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <sn^>5Ds +jQW 6k# 'Adjust parameters to account for accommodation l? 7D0
o_jVtEP '************************************************************************* 91[(K'=& 'Aqueous thickness (Position of Lens) _AK-AY '************************************************************************* j].XVn, eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Lw2EA 5 GetCustomElement eID, entity 8BBuYY{ y1@{(CDp" parID = FindFullName( "Geometry.Arizona Eye" ) _sx]`3/86 ~#OnA1) ' Delete any shift(s) in z >~2oQ[n count = 0 T&cf6soo While GetOperationCount(eID)>count C+jlIT+ GetOperation eID, count, op _@SC R% If op.Type="ShiftZ" Then s}X2*o`, DeleteOperation eID,count Pe~[qETv count=count-1 T[q2quXgk End If #sN]6 count=count+1 _-^a8F>/19 Wend -=@d2LY =`99ez+y 'Set new shift in ;MR8E9 op.Type = "ShiftZ" 9K~X}]u op.val1 = taq "! m6U#^ op.parent = parID GK~uoz:^O AddOperation eID, op G[ @RZ~o4 Print "Set aqueous humor thickness = " & taq-0.55 S sGb; SwXVa/9a" '************************************************************************* V*}ft@GPD 'Radius and conic constant of anterior lens ?sk{(UN] '************************************************************************* /&_$+Iun eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xo
a1=' GetConic eID, entity, curv, conic J<yt/V] jH({Qc,97 SetConic eID, entity, 1/Rant, CCant Iw~R@, Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Xq@Bzya Kejp7okb '************************************************************************* "A6m-xE~ 'Radius and conic constant of posterior lens +Hgil '************************************************************************* h'jc4mu0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) n
9PYZxy GetConic eID, entity, curv, conic QV)>+6\ 41Hv)}Yd SetConic eID, entity, 1/Rpost, CCpost u5;;s@{Ye4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;G.5.q[A ^CO{86V '************************************************************************* X6*4IE 'Lens thickness (Position of posterior lens surface) 9kHVWDf '************************************************************************* ~t^
Umx"Ew ct`j7[ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,sI<AFI xsu9DzPf&{ ' Delete any z-shift(s) Ql"kJ_F!br count = 0 oq${}n < While GetOperationCount(eID)>count 4a}[&zm(5 GetOperation eID, count, op KW-GVe%8f If op.Type="ShiftZ" Then |W_;L6) DeleteOperation eID,count 2,aH1Xbex count=count-1 o=J-Ju End If @GUlw[vi count=count+1 txE=AOY5 Wend DK)T2{: 17$'r^t,S 'Set new z-shift ,2YZB*6h{ op.Type = "ShiftZ" 3 {$vN). op.val1 = tlens (qglD op.parent = parID '_d4[Olu AddOperation eID, op Yw] 7@ Print "Set lens thickness = " & tlens v%:VV*MxF A:yHClmn '************************************************************************* i/j53towe 'Lens index of refraction -M/j&<;LW '************************************************************************* wU6sU]P eID = FindMaterial( "Lens" ) Z_Wzm!: GetModelMaterial eID, mat Q2/65$nW XeX\u3<D mat.Nd = nlens m/z,MT74*J SetModelMaterial eID, mat mG"xo^1_H Print "Set lens index of refraction = " & nlens H2H`7 +I, CYRZ2Yrk?" '************************************************************************* _j+!Fd 'Pupil diameter !O,Sq/=. '************************************************************************* K!]a+M]> eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ^M{,{bG sUF9_W5z 'Adjust pupil diameter (trimming volume inner hole) `78Bv>[A I`zd:o] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" {j=` dvZH ~mF ' Adjust pupil location to just in front of the lens Xu8I8nAwl parID = FindFullName( "Geometry.Arizona Eye" ) tI1OmhNN eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~wa6S? count = 0 *,mI=1 While GetOperationCount(eID)>count ~:{05W GetOperation eID, count, op /a'1W/^2 If op.Type="ShiftZ" Then J$Z=`=]t+ DeleteOperation eID,count s3HVX' count=count-1 Wl |5EY End If B*N1)J\5 count=count+1 [% C,&h5 Wend +? h}e op.Type = "ShiftZ" ; h\T7pwwb op.val1 = taq-0.01 =A.$~9P op.parent = parID 8LbwEKl AddOperation eID, op ;eN
^'/4A &'SD1m1P Print "Set pupil diameter = " & pupilDiam &E_a0*)e )V\@N*L`ik 'Update AZ Eye subassembly Description Pg%9hejf3 eID = FindFullName( "Geometry.Arizona Eye" ) X/yq<_ g GetEntity eID, entity f<NR6],} entity.Description = "Accommodation = " & A & "D" H/c
(m|KK SetEntity eID, entity Zz0e4C BH">#&j[ Update g w"
\pD
Print "DONE!" GC{M"q|_ |;vQ"8J End Sub gv''A" y3zP`^
如果屈光度是4,光瞳直径是4,则会输出如下数据: pFv u,Q" EU$.{C_O( Accommodation = 4 Diopters q`VL i Pupil Diameter = 4 mm "j@\a)a Set aqueous humor thickness = 2.81 Ax;=Zh<DAv Set anterior lens radius = 10.4 and conic constant = -2.375869 l~6K}g? Set posterior lens radius = -4.424557 and conic constant = -3.081019 )th[fUC( Set lens thickness = 3.927 "9wD|wsz Set lens index of refraction = 1.42672 5o#JHD Set pupil diameter = 4 1^!SuAA@ DONE! T$I_nxh[)L
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