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简介 7|Wst)_~j 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。 N1y,~Z 79
_8Oh 模型 ey<z#Q5+ VJ&-Z | 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。 75P!`9bE YGyw^$.w Table 1. AZ眼睛模型的定义 i 28TH
Jh 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 4Rp[>}L b/T k$& 光源 XH!n{Of -zt*C&)b 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。 N7 _rVcDe x>K,{{B)X qgWsf-di= 图1. 光源和提示信息使用 h3\(660>$ 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。 +WR'\15u (yT&&_zY4 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。 Zl! U
CFw+ 图2. 字母F光源的设定方法光 z+0#H39 & PK{FQ3b2{ 图3. 字母F在视网膜上位置点列图 md9JvbB 视网膜的散射 hf)RPG& t >64^nS 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。 'wBOnGi6 7oL:C >)>~S_u 图4. 视网膜朗伯散射设定 b9b`%9/L 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。 //$^~}wt D iHj!tZN pNQ@aJ 图5. 视网膜重点采样规格设定 Ms%C:KG 脚本 L&5zr_ h,fahbH- 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示:
{pRa%DF I[06R 图6. 用户对话框的创建与编辑 {FC<vx{42 图7. 用户对话框编辑器 .lz=MUR 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 S@,x^/vT 余下的脚本计算与屈光度有关的所有参数。 tg%Sn+: C}o^p"M*B3 分析 xTZJ5iZ17 `Y '-2Fv 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 IMy!8$\u ,>pv>)u{ 图7. 字母F在视网膜上颜色分析 \w$e|[~ 脚本代码 0V2~ 94rx4"AN8; Option Explicit 'Remove this to enable non-dimensioned variables to be used. yS#D$q2_ $z@nT.x5 Dim entity As T_ENTITY f[OJqk Dim op As T_OPERATION dr"@2=Z Dim mat As T_MODELMATERIAL rO,n~|YJ Dim A As Double aMgg[g9>t Dim pupilDiam As Double =NRiro Dim eID As Long fL&e^Q Dim parID As Long RHt~:D3* Dim count As Integer lqoVfj'6M Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 0+rBGk Dim tlens As Double, nlens As Double 1eS@ihkP Dim curv As Double, conic As Double HN&]`cr; Dim ok As Long t..@69 w*4sT+
P Sub Main ab_EH}j1\q s*kSl:T@O '用户输入对话框 0gKSjTqo Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 BQ!_i*14+ TextBox 220,21,40,21,.TextBox1 'default: 0 <$nMqUu0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 H]0(GLvH OKButton 40,91,90,21 yMb.~A^$J CancelButton 190,91,90,21 ':T"nORC Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Hg[AulNna TextBox 220,49,40,21,.TextBox2 'default: 4 sQ82(N7l End Dialog dM5N1$1, Dim dlg As UserDialog ? ,!C0t s !wjD6NK ok = Dialog (dlg) m8v=pab e 04#r'UIF If ok=0 Then 'cancel button was pressed kx[h41|n Print "Execution cancelled." wOl]N2< End 1ZfhDtK( End If Z&y9m@ @|7e~U 'Assign accommodation and pupil diameter & use defaults if field left empty "Ze<dB#,Y If dlg.TextBox1 = "" Then Ktf lbI! A = 0 'Default accommodation )G$0:-J- Else ?OWJ UmQ A = CDbl(dlg.TextBox1) x):h|/B End If }{) >aJ izP>w*/nO If dlg.TextBox2 = "" Then ;e^`r;] pupilDiam = 4 'Default pupil diameter VQ`a-DL Else nx`I9j\ pupilDiam = CDbl(dlg.TextBox2) )}R
w@70L- End If :]IYw!_-p JVNp= ikK Print " " ?(j:F2dU~ Print "Accommodation = " & A & " Diopters" -$kAWP8P4 Print "Pupil Diameter = " & pupilDiam & " mm" %3$EV}dp B3&`/{u ' Calculate new parameters with accommodation {o.i\"x; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;PX>] r5U0 q{oppali Rant = 12.0 - 0.4*A 'Radius of anterior lens =(>pv, CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ]kyGm2Ty9 BjCg!6`XF Rpost = -5.224557 + 0.2*A 'Radius of posterior lens R9lb<` CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *`wgqin VpmD1YSn tlens = 3.767 + 0.04*A 'Lens thickness i;}mIsNBY YST{
h{ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction i6D66 E ~i/K7qZ 'Adjust parameters to account for accommodation :/'oh]T| vTUhIFa{ '************************************************************************* "94qBGf 'Aqueous thickness (Position of Lens) MFm2p?zPm '************************************************************************* $y+Bril5W eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 924a1
GetCustomElement eID, entity 5\eM3w'd I Z{DR parID = FindFullName( "Geometry.Arizona Eye" ) VRa>bS V'&`JZK6 ' Delete any shift(s) in z .=<<b| count = 0 'Q F@@ 48 While GetOperationCount(eID)>count u~q6?*5 GetOperation eID, count, op z1 P=P%F If op.Type="ShiftZ" Then L9":= DeleteOperation eID,count {pyTiz#JY count=count-1 ae|j#!~oi End If ._IBO; *@ count=count+1 r:Rk!z* Wend ~zT7 43 VgyY7INx9 'Set new shift in ]:r6 op.Type = "ShiftZ" ?."YP[; op.val1 = taq #J09Eka;J op.parent = parID w_]`)$9 AddOperation eID, op eT6T@C]( Print "Set aqueous humor thickness = " & taq-0.55
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1o8 X{G&r$ '************************************************************************* s'Wu \r' 'Radius and conic constant of anterior lens %d"d<pvx '************************************************************************* 3r-oZ8/n eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) o-_H+p6a GetConic eID, entity, curv, conic k~=_]sLn *$yU|, SetConic eID, entity, 1/Rant, CCant dNfME*"yN Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant K#!c<Li# '$\O*e' '************************************************************************* /@QPJ~%8Ud 'Radius and conic constant of posterior lens ni`uO<\U '************************************************************************* %29lDd(< eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) N>Q~WXvV# GetConic eID, entity, curv, conic Uon^z?0A <Po$|$_~ SetConic eID, entity, 1/Rpost, CCpost GZWU=TC2{2 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ee\QK,QV WCUaXvw '************************************************************************* Q.Xs%{B 'Lens thickness (Position of posterior lens surface) j9^V)\6) '************************************************************************* %"CF-K@th @Tz}y"VG parID = FindFullName( "Geometry.Arizona Eye.Lens" ) <<l1zEf@ >PmnR>x-rj ' Delete any z-shift(s) xh|<`>5 count = 0 `b?o%5V2x While GetOperationCount(eID)>count d.Ep#4 GetOperation eID, count, op !\Vc#dslt If op.Type="ShiftZ" Then _`.Wib+ DeleteOperation eID,count 5DxNHEuS count=count-1 7*\CfqrU End If It:,8 count=count+1 )/cf% Wend IF'Tj`yD Fv$oXg/ 'Set new z-shift |e{ ^Yf4 op.Type = "ShiftZ" 0"J0JcFX op.val1 = tlens K;j0cxl op.parent = parID n4InZ!) AddOperation eID, op
tg6iHFa Print "Set lens thickness = " & tlens {L/hhKT ~`X$bF '************************************************************************* )0?u_Z]w9 'Lens index of refraction Tnoy#w}Ve '************************************************************************* .oH)eD eID = FindMaterial( "Lens" ) <N{Y*,^z GetModelMaterial eID, mat ,s`4k?y PvB{@82 mat.Nd = nlens -BcnJK0 SetModelMaterial eID, mat )m_q2xV Print "Set lens index of refraction = " & nlens = P$Q;d OF/hD2V '************************************************************************* +$$5Cv5#<& 'Pupil diameter +vt?3i\^. '************************************************************************* N$N7aE$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9";qR, N"8'=wB 'Adjust pupil diameter (trimming volume inner hole) oy\U\#k >!MRk[@
V- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" H5Bh?mw2 9m%2&fjK^ ' Adjust pupil location to just in front of the lens %l[]n;*$ parID = FindFullName( "Geometry.Arizona Eye" ) :!yPR eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~J HEr48 count = 0 bT15jNa While GetOperationCount(eID)>count >|aVGY GetOperation eID, count, op 0+T:};] If op.Type="ShiftZ" Then |[!7^tU* DeleteOperation eID,count MU:q`DRr count=count-1 '*D>/hn|:] End If N\anjG count=count+1 2Mu@P8O& Wend 'x6rU"e $J op.Type = "ShiftZ" qSt\ 6~ op.val1 = taq-0.01 M|fC2[]v B op.parent = parID jo'
V.]\ AddOperation eID, op W`uq,r0Xsy {Z1KU8tp Print "Set pupil diameter = " & pupilDiam MM6PaD{ Pk>S;KT. 'Update AZ Eye subassembly Description u#UtPF7q eID = FindFullName( "Geometry.Arizona Eye" ) wZVLpF+7 GetEntity eID, entity L7[f-cK2: entity.Description = "Accommodation = " & A & "D" De2$:? SetEntity eID, entity ,P%i%YPj NMS+'GRW Update WO6R04+WV Print "DONE!" Qb|@DMq% k$GtzjN End Sub p'A43 L+~XW'P? 如果屈光度是4,光瞳直径是4,则会输出如下数据: 6^lix9q7 qu&p)*M5 Accommodation = 4 Diopters a7!{`fR5 Pupil Diameter = 4 mm i*r ag0Mw Set aqueous humor thickness = 2.81 B(f_~ ] Set anterior lens radius = 10.4 and conic constant = -2.375869 ]=PkgOJD Set posterior lens radius = -4.424557 and conic constant = -3.081019 tUt_Q;%yC Set lens thickness = 3.927 ^1y D&i'q Set lens index of refraction = 1.42672 l6zYiM Set pupil diameter = 4 J9MAnYd)i DONE! a"`>J! >pp#>{} (文章来源:讯技光电)
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