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简介 k{^iv: U
a1Z,~ * 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。 }&EdA;/o_ 2]tW&y_i 模型 SFqq(K2u :IozWPs* 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。 *+J`Yk7} Lcs?2c:% Table 1. AZ眼睛模型的定义 u4[rA2Bf8E 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. 4}<[4]f?| t&G #% 光源 `>k7^!Ds z+nq<%"' 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。 ?"p.Gy) _P=L| U#C //^{u[lr 图1. 光源和提示信息使用 :)k|Onz 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。 LlbE]_Z!U% I"WmDC`1 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。 ban;HGGNG{ N9O}6 图2. 字母F光源的设定方法光 ,{#L i V:1_k"zQ 图3. 字母F在视网膜上位置点列图 8oP"?ew# 视网膜的散射 S$nEflcz I -V=Z: 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。 F\+!\b*lP ER<Z!*2 sTECNY=l 图4. 视网膜朗伯散射设定 9:*a9xT, 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。 K`kWfPwp i0[mU, )AAPT7!U 图5. 视网膜重点采样规格设定 6
$+b2&V 脚本 F2$?[1^f v
<E#`4{ 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: ztV%W6 -qDL': 图6. 用户对话框的创建与编辑 xGK"`\V 图7. 用户对话框编辑器 h
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hl 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。 h.aXW]]}(P 余下的脚本计算与屈光度有关的所有参数。 cb _nlG! R|!4klb 分析 r} a, 3}i(i0+ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 3x
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:{Xf*` 图7. 字母F在视网膜上颜色分析 +HY.m+T 脚本代码 3xpygx9 :ZU-Vi.b Option Explicit 'Remove this to enable non-dimensioned variables to be used. jN sM&s, X%Ta?(9|.^ Dim entity As T_ENTITY A{\!nq_~N Dim op As T_OPERATION O29GPs Dim mat As T_MODELMATERIAL c4FU@^Vv Dim A As Double r%` |kN Dim pupilDiam As Double cu"ge]}, Dim eID As Long | <- t Dim parID As Long W^1)70<y Dim count As Integer ^ V8?6E Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 5`1p
? Dim tlens As Double, nlens As Double XM?C7/^k Dim curv As Double, conic As Double Xe<kdB3 Dim ok As Long Hr;\} *!yY7 ~# Sub Main ]0myoWpi3 r$;u4FR '用户输入对话框 w:@W/e*9N Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Ve\P ,. TextBox 220,21,40,21,.TextBox1 'default: 0 X6EnC57 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #:}mi;{ OKButton 40,91,90,21 _l&.<nz CancelButton 190,91,90,21 )zvjsx*e=J Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `'/1Ij+ TextBox 220,49,40,21,.TextBox2 'default: 4 uE,j$d End Dialog ?bl9e&/! Dim dlg As UserDialog 0tP{K tcj3x< ok = Dialog (dlg) fZrB!\Q Z}$1~uyw If ok=0 Then 'cancel button was pressed NPE7AdB8 Print "Execution cancelled." ^uWj# End #i[V{J8.p End If ,HfdiGs}j %1%@L7wP> 'Assign accommodation and pupil diameter & use defaults if field left empty M0"}>`1lJ If dlg.TextBox1 = "" Then Xm[Cgt_? A = 0 'Default accommodation q%8Ck)xz Else #l-/!j A = CDbl(dlg.TextBox1) 17B` End If ;2iDa 'V(9ein^Q If dlg.TextBox2 = "" Then @7OE:& #V pupilDiam = 4 'Default pupil diameter -bQi4 Else YEhPAQNj pupilDiam = CDbl(dlg.TextBox2) h
v/+ End If c"^g*i2&0 khfWU Print " " "!_,N@\t Print "Accommodation = " & A & " Diopters" 5D`!Tu3 Print "Pupil Diameter = " & pupilDiam & " mm" yo"!C?82= o.KE=zp&z ' Calculate new parameters with accommodation |NXe{q7{ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness
:A]CD( 4W36VtQ@E Rant = 12.0 - 0.4*A 'Radius of anterior lens .Sjg CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens %pr}Xs(-f L QA6iZBP Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ed4`n!3 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens HWi: CDgm .vhEm6wJUM tlens = 3.767 + 0.04*A 'Lens thickness t Ai?B jo BZAF;j nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction X16r$~Pb }R2afTn[; 'Adjust parameters to account for accommodation udGZ%Mr_ }X^CH2,R '************************************************************************* tY6QhhuS: 'Aqueous thickness (Position of Lens) \6K1Z!*; '************************************************************************* vON1\$bu` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,U#FtOec GetCustomElement eID, entity 5WU?Km yh"48@L'D parID = FindFullName( "Geometry.Arizona Eye" ) $BWA=2$ QeipfK+me ' Delete any shift(s) in z Lo^gg#o count = 0 _cD-E.E% While GetOperationCount(eID)>count |A19IXZ\ GetOperation eID, count, op Q804_F
F# If op.Type="ShiftZ" Then m005*>IY DeleteOperation eID,count T96M=?wh! count=count-1 _"'0^F$I End If >J_%'%%f count=count+1 wBIhpiJX0 Wend 73>Hzpv0 <;':'sW 'Set new shift in W``
-/ op.Type = "ShiftZ" -x2&IJ! op.val1 = taq W#lt_2!j op.parent = parID B*T;DE AddOperation eID, op `Uy'YfYF Print "Set aqueous humor thickness = " & taq-0.55 :}p<Hq 8Z wQw
y+S '************************************************************************* '"fZGz? 'Radius and conic constant of anterior lens 2kVQ#JyuRI '************************************************************************* bd@1j`i eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vN3uLz'< GetConic eID, entity, curv, conic #JW~ &; f,QBj{M, SetConic eID, entity, 1/Rant, CCant j<C p&}X Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !S5_+.U# 5Int,SX '************************************************************************* <J.-fZS% 'Radius and conic constant of posterior lens #x[3@zP. '************************************************************************* F=r`'\JV[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x|q|> dPB GetConic eID, entity, curv, conic wl:[Ad Nr:%yvk%s SetConic eID, entity, 1/Rpost, CCpost |&0zAP"\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost mVdg0 &1$|KbmV4 '************************************************************************* 9Jj:d)E>o 'Lens thickness (Position of posterior lens surface) A,#a?O6m '************************************************************************* LP:F'Q:< _omz74 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) rX@?~(^ML %r >Y)@$Vt ' Delete any z-shift(s) 19 <Lgr count = 0 J^)=8cy While GetOperationCount(eID)>count fs6% M]u GetOperation eID, count, op ^muPjM+D If op.Type="ShiftZ" Then r>3y87 DeleteOperation eID,count KB6`OT^b{r count=count-1 )ME'qA3K End If u:GDM count=count+1 ua]?D2 Wend C}8 3t~Q WDq~mi 'Set new z-shift YH/3N(], op.Type = "ShiftZ" 8bI;xjK^Q op.val1 = tlens m.2=,,r<Fq op.parent = parID 2}jC%jR2 AddOperation eID, op J{h?=vK Print "Set lens thickness = " & tlens d+Au`'{> \:|"qk '************************************************************************* g]Fm%iy 'Lens index of refraction ypV>* '************************************************************************* fe$O Pl~ eID = FindMaterial( "Lens" ) gO,2:, GetModelMaterial eID, mat 8lfKlXR78 Zz@wbhMV mat.Nd = nlens cOo@UU P SetModelMaterial eID, mat a<d$P*I(cH Print "Set lens index of refraction = " & nlens qF57T>v| B[B(=4EzMP '************************************************************************* do&0m[x% 'Pupil diameter ?2i\ERG? '************************************************************************* 9G=HG={ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) x3]y*6 gq[`g=x 'Adjust pupil diameter (trimming volume inner hole) MMS#Ci=Lj Egr'IbB SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <Pg<F[eDM AAPfU_:
^ ' Adjust pupil location to just in front of the lens mj_V6`m4 parID = FindFullName( "Geometry.Arizona Eye" ) >a$b4
pvh eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Fooa~C" count = 0 !y syb While GetOperationCount(eID)>count o]O GetOperation eID, count, op E!zAUEVQm[ If op.Type="ShiftZ" Then qS}pv DeleteOperation eID,count #xTu { count=count-1 d6ABgQi0 End If |VE*_ G count=count+1 xA {1XS} Wend ;/|3U7{c op.Type = "ShiftZ" IM9P5?kJ
? op.val1 = taq-0.01 [>wvVv op.parent = parID V07? sc< AddOperation eID, op R'1L%srTM+ 19#A7 Print "Set pupil diameter = " & pupilDiam aT`. e y&{ Z"+B5 'Update AZ Eye subassembly Description '1te(+;e@ eID = FindFullName( "Geometry.Arizona Eye" ) $mZpX:7/u8 GetEntity eID, entity %5|DdpES entity.Description = "Accommodation = " & A & "D" }}MZgm~U) SetEntity eID, entity JwMFu5 @ o; Ns-= Update QQIU5 Print "DONE!" IWD21lS y_A?}'X End Sub SF?s^ oq3{q 如果屈光度是4,光瞳直径是4,则会输出如下数据: .,7ZDO9{ gP 6`q Accommodation = 4 Diopters g{%2*{;i Pupil Diameter = 4 mm 3PU'd^ Set aqueous humor thickness = 2.81 aB+B1YdY" Set anterior lens radius = 10.4 and conic constant = -2.375869 h&$,mbEoI Set posterior lens radius = -4.424557 and conic constant = -3.081019 [tY+P7j9) Set lens thickness = 3.927 iz pFl@WS Set lens index of refraction = 1.42672 96.Vm*/7 Set pupil diameter = 4 I7/X6^/} DONE! 6K
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