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简介 ],?$& /Wx({N'h$ 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。 )XFaVkQ} K}OY!| 模型 Ra!Br6 g)L?C'BG 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。 lx)Bj6 eBN!!Y:7 Table 1. AZ眼睛模型的定义 9f|+LN## 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. IEP^u
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:)#; 光源 xG7/[ jG }G3:QD 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。 d#W>"Cqxqa 8TE2q Pm qhQeQ 图1. 光源和提示信息使用 zm{U.Q 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。 $xK*TJ(k
YqEB%Y~N+ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 0!5w0^1 Z`jSpgWR 图2. 字母F光源的设定方法光 sI OT6L^7 |z
8Wh 图3. 字母F在视网膜上位置点列图 71I: P|.> 视网膜的散射 kp=wz0# ^77Q4"{W 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 NGs@z^&V aS3Fvk0R{h >s;>"] 图4. 视网膜朗伯散射设定 bMvHAtp 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ej;\a:JL -"}mmTa*< mh :eUFe 图5. 视网膜重点采样规格设定 SKdh!*G 脚本 |.~0Ulk, Xf/qUao 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 2l.qINyz lmbC2\GT 图6. 用户对话框的创建与编辑 8w\ZY>d 图7. 用户对话框编辑器 of<(4<T 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 >&?k^nI}J 余下的脚本计算与屈光度有关的所有参数。 H]<@\g*l@P sqE? U*8.- 分析 g?1! /+ av:9kPKm 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ^)i1b:4 C'S& 图7. 字母F在视网膜上颜色分析 277Am*2 脚本代码 1c19$KHu CGCI3Z' Option Explicit 'Remove this to enable non-dimensioned variables to be used. Ra-%,cS Og E<bw Dim entity As T_ENTITY L; (J6p]h Dim op As T_OPERATION 5m\T~[`% Dim mat As T_MODELMATERIAL h3BDHz, Dim A As Double /s|4aro Dim pupilDiam As Double %VsIg Dim eID As Long <UE-9g5?G Dim parID As Long oRZ--1oR_ Dim count As Integer rzO5 3\ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double y=qiGi[Nc Dim tlens As Double, nlens As Double u~7
,v Dim curv As Double, conic As Double F\BD7W Dim ok As Long K)_DaTmi) mWiX@#, Sub Main /5&'U!:+ o >?#$~XNv '用户输入对话框 @@~Ql Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <x O"
E%t TextBox 220,21,40,21,.TextBox1 'default: 0 >[&Zs3> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 `44 }kkBT OKButton 40,91,90,21 $9Pscu bM4 CancelButton 190,91,90,21 J<27w3bs~p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 jFPD SR5 TextBox 220,49,40,21,.TextBox2 'default: 4 j" ~gEGfK End Dialog M.h8Kr!. Dim dlg As UserDialog '@3Kq\/ ;Q8LA",5d ok = Dialog (dlg) *-lw2M9V 9TZ4ffXV* If ok=0 Then 'cancel button was pressed y{O817 \ Print "Execution cancelled." )4CF*>*6V End {6Qd,CX End If :I/i"g7<
bMDj+i 'Assign accommodation and pupil diameter & use defaults if field left empty :o=a@Rqx If dlg.TextBox1 = "" Then HCOE'24I A = 0 'Default accommodation )D>= \Me Else &vHfuM` A = CDbl(dlg.TextBox1) jTE~^ End If S :%SarhBD C'oNGOEd If dlg.TextBox2 = "" Then J0V\_ja- pupilDiam = 4 'Default pupil diameter /KLs+^c5 Else 9f7T.}HM pupilDiam = CDbl(dlg.TextBox2) _+NM<o#A End If 2GW.'\D TL*8h7.( Print " " f.Feo Print "Accommodation = " & A & " Diopters" jc-$l Print "Pupil Diameter = " & pupilDiam & " mm" SZ3UR ZGZ+BOFL ' Calculate new parameters with accommodation ,[{Z_co taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness p"k[ac{ #s]'2O Rant = 12.0 - 0.4*A 'Radius of anterior lens *C"-$WU3o CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens zM+eb| >cr D5gDVulsh
Rpost = -5.224557 + 0.2*A 'Radius of posterior lens )"4v0dv CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %FSY}65 rUOl+p_47 tlens = 3.767 + 0.04*A 'Lens thickness "o6a{KY( Tn"/EO^N nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction #V#sg}IhM? Uk@'[_1z 'Adjust parameters to account for accommodation ne-;gTP; Vb$4'K' '************************************************************************* `%nj$-W: 'Aqueous thickness (Position of Lens) j$mCU? '************************************************************************* ]UFbG40Zo eID = FindFullName( "Geometry.Arizona Eye.Lens" ) d ub%fs GetCustomElement eID, entity Ka|,
qkb _zF*S]9
X parID = FindFullName( "Geometry.Arizona Eye" ) -lDAxp6p 3wf&,4`EX ' Delete any shift(s) in z fOtzbYVC count = 0 |z%:{ While GetOperationCount(eID)>count ?D8+wj GetOperation eID, count, op QnN cGH If op.Type="ShiftZ" Then _oBJ'8R\ DeleteOperation eID,count IyJHKDFk count=count-1
##_Jz 5P End If ^oYudb^% count=count+1 p81Vt Wend V_p[mSKJv UD}#c:I 'Set new shift in gSn9L)k(O op.Type = "ShiftZ" SoPiEq op.val1 = taq {M&Vh] op.parent = parID L^><APlX AddOperation eID, op dw"{inMf Print "Set aqueous humor thickness = " & taq-0.55 lU&[){ e|2@z-Sp- '************************************************************************* H4{CiZ 'Radius and conic constant of anterior lens ?Q#yf8 '************************************************************************* [:*Jn} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) eemw
I GetConic eID, entity, curv, conic K#_x.:<J 6L}}3b h SetConic eID, entity, 1/Rant, CCant |ryV7VJ8 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant @})]4H !eE;MaS> '************************************************************************* ~8l(,N0 'Radius and conic constant of posterior lens (]gd$BgD '************************************************************************* q"C(`S.@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) {>rGe#Vu GetConic eID, entity, curv, conic Al-;-t#Dc pS6p}S=1] SetConic eID, entity, 1/Rpost, CCpost yDe6f(D Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %3;vDB*L$ 5%)<e- '************************************************************************* sjIUW$ 'Lens thickness (Position of posterior lens surface) bpp{Z1/4 '************************************************************************* tkjQSz (u:^4,Z parID = FindFullName( "Geometry.Arizona Eye.Lens" ) jqv"8S5 AAW])c`. ' Delete any z-shift(s) 2/F";tc\' count = 0 ;%W]b While GetOperationCount(eID)>count ~dz,eB GetOperation eID, count, op Q!*}^W If op.Type="ShiftZ" Then rU!QXg]uD DeleteOperation eID,count mi]bS
count=count-1 F :p9y_W End If R!Lh~~@{( count=count+1 |9'`;4W Wend 1XXuFa& [Rxbb+,U 'Set new z-shift k3yA*Ec op.Type = "ShiftZ" 1O,:fTG< op.val1 = tlens cN3!wE op.parent = parID ;vuqI5k AddOperation eID, op *l{GD1ZDk Print "Set lens thickness = " & tlens w_ONy9 HzQY\Y6 '************************************************************************* 0ub0[A 'Lens index of refraction {'@`:p&3r '************************************************************************* Qo$j'|lD eID = FindMaterial( "Lens" ) Mv?$zV"`# GetModelMaterial eID, mat D`NPU
+{h.nqdAE mat.Nd = nlens MP_LdJM1E SetModelMaterial eID, mat +S6(Fvp Print "Set lens index of refraction = " & nlens -~] q?k? cKEDRX3 '************************************************************************* *YO^+]nmY 'Pupil diameter RIdh],- '************************************************************************* XT%\Ce! eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) f1w_Cl Q5xQ5Le 'Adjust pupil diameter (trimming volume inner hole) sOqT*gwr: G0~6A@> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" G nPrwDB 5_7y 1 ' Adjust pupil location to just in front of the lens qd<-{ parID = FindFullName( "Geometry.Arizona Eye" ) yQ!I`T>a eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) B?
Z_~Bf& count = 0 W7#dc89} While GetOperationCount(eID)>count '4ip~>3?w GetOperation eID, count, op ?Gqq]ozm If op.Type="ShiftZ" Then :Xi&H.k)p DeleteOperation eID,count NH'Dz6K5 count=count-1 wQ9?Z.-$ End If 6^e}^~| count=count+1 WCD)yTg:ES Wend _J"fgxW op.Type = "ShiftZ" eXQLE]L] op.val1 = taq-0.01 iY*fp=c9 op.parent = parID +3F%soum95 AddOperation eID, op $W]}m"l Jo''yrJpB Print "Set pupil diameter = " & pupilDiam /b7]NC% |/;;uK,y 'Update AZ Eye subassembly Description 43?uTnX/ eID = FindFullName( "Geometry.Arizona Eye" ) ,GF]+nI89 GetEntity eID, entity VVJIJ9L&C entity.Description = "Accommodation = " & A & "D" WZM SetEntity eID, entity tj4/x7!
*7o@HBbF Update p""\uG' Print "DONE!" T5Iz{Ha H/U.Bg 4 End Sub bae;2| w 8b!xMFF" 如果屈光度是4,光瞳直径是4,则会输出如下数据: />n!2'! ON9L+"vqv0 Accommodation = 4 Diopters H<") )EJI Pupil Diameter = 4 mm Z4oD6k5oc Set aqueous humor thickness = 2.81 -}u1ZEND Set anterior lens radius = 10.4 and conic constant = -2.375869 rf+Z0C0WYi Set posterior lens radius = -4.424557 and conic constant = -3.081019 o3$dl`' Set lens thickness = 3.927 8]mRX~ Set lens index of refraction = 1.42672 hof>:Rk Set pupil diameter = 4 5PsjGvm.% DONE! $0R5 ]]db) {)(Mkm+d \%&):OD1 QQ:2987619807 : T{VCw:*
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