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简介 d=3'?l` ^3]UZ@ 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。 D'_Bz8H!p .Zmp , 模型 pz|'l:v^ _\8qwDg"#e 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。 _.V?A* c EnkU] Table 1. AZ眼睛模型的定义 9X}I> 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. ^%>kO, (Ddp|a"b 光源 {b)~V3rsY LnsD 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。 S :bC[} h9s >LY ,'fxIO 图1. 光源和提示信息使用 K^l:MxO-X 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。 }8K4-[\ +A8j@d#: 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。 =aG xg57 s
+s" MI 图2. 字母F光源的设定方法光 BJ}D%nm} p0:kz l4$ 图3. 字母F在视网膜上位置点列图 e [h8}F 视网膜的散射 Z|lU8`'5 #Pk$L+C 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 w'T q3-%V S$q=;" U(>4s]O6 图4. 视网膜朗伯散射设定 b7`D|7D 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。 )cJ#-M2 7[#yu 2 LNYKm~cN 图5. 视网膜重点采样规格设定 `>C<}xO 脚本 YIRZ+H<Q "SxLN
8.: 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: X2sH E kOwMs<1J 图6. 用户对话框的创建与编辑 l |2D/K5 图7. 用户对话框编辑器 /phX'xp 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。 0|4%4Mt 余下的脚本计算与屈光度有关的所有参数。 'dG%oDHX]P sic"pn],U 分析 <xpph
t< e}Vw!w 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
uF|3/x= p{A}pnjf 图7. 字母F在视网膜上颜色分析 1$/MrPT(b 脚本代码 2&mGT&HAVA /1=4"|q>h' Option Explicit 'Remove this to enable non-dimensioned variables to be used. Q#I"_G&{ IY'=DePd Dim entity As T_ENTITY 3rW|kkn Dim op As T_OPERATION \W5O&G-C Dim mat As T_MODELMATERIAL ?Ea;J0V Dim A As Double }_/Hdmmx Dim pupilDiam As Double 3981ie Dim eID As Long 7"F*u : Dim parID As Long $
i)bq6 Dim count As Integer ]B"'}%>ez Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double F_iXd/ Dim tlens As Double, nlens As Double (/d5UIM{& Dim curv As Double, conic As Double qU2~fNY Dim ok As Long Xaz o9J V]OmfPve Sub Main i$G;f^Z!Y
E:sz$\Ht) '用户输入对话框 G'2#9<c* Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 >WJf=F`_H TextBox 220,21,40,21,.TextBox1 'default: 0 <~ad:[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 k(>h^ OKButton 40,91,90,21 _R'Fco CancelButton 190,91,90,21 <9E0iz+j Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Y?CCD4"qn TextBox 220,49,40,21,.TextBox2 'default: 4
Amr[wx End Dialog [Aj Q#;#Q Dim dlg As UserDialog WG*t::NN `g8E1-]l ok = Dialog (dlg) E#J';tUQ Nk=JBIsKv If ok=0 Then 'cancel button was pressed YBYZ=,"d Print "Execution cancelled." KoE8Mp End n55Pv3}C End If Tus}\0/i> {,*"3O:\:
'Assign accommodation and pupil diameter & use defaults if field left empty M;cO0UIwO If dlg.TextBox1 = "" Then iHwLZ[O{ A = 0 'Default accommodation V@>r*7\F Else 5>3}_ A = CDbl(dlg.TextBox1) $vHU$lZ/W End If ?88[|;b3 {Q+gZcu If dlg.TextBox2 = "" Then R>DaOH2K* pupilDiam = 4 'Default pupil diameter WLF0US' Else Nx{$} pupilDiam = CDbl(dlg.TextBox2) 4h5g'!9-g End If Z3>N<u8) WZOY)>K Print " " xe7O/',pa= Print "Accommodation = " & A & " Diopters" FX9F"42@ Print "Pupil Diameter = " & pupilDiam & " mm" CkJCi ?9l [y ' Calculate new parameters with accommodation :4~g;2oag taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness lb'GXd % Hzrtlet Rant = 12.0 - 0.4*A 'Radius of anterior lens 3qY K_M^[ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens %6AW7q
t C6O8RHg Rpost = -5.224557 + 0.2*A 'Radius of posterior lens qB)"qFa
CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens d,8mY/S>w $P1O>x>LIL tlens = 3.767 + 0.04*A 'Lens thickness nz9DLAt 'V8N nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ;'81jbh z4&iK)x 'Adjust parameters to account for accommodation IbcZ@'RSw }FzqW*4~ '************************************************************************* YF+n
b.0. 'Aqueous thickness (Position of Lens) aM7uBx\8 5 '************************************************************************* Vy_2 . eID = FindFullName( "Geometry.Arizona Eye.Lens" ) P&Pj>!T5
GetCustomElement eID, entity rr#K"SP hFiIW77s2 parID = FindFullName( "Geometry.Arizona Eye" ) *3T|M@Y Lm@vXgMD ' Delete any shift(s) in z o)OUWGjb/K count = 0 hJzxbr
< While GetOperationCount(eID)>count LH:i| I GetOperation eID, count, op >~K
qg~ If op.Type="ShiftZ" Then oI^4pwn h DeleteOperation eID,count Oy 2+b1{ count=count-1 tzy'G"P| End If `/HUV&i"S count=count+1 aZEn6*0B Wend TYI7<-Mp:[ 97K[(KE 'Set new shift in 0rGSH*( op.Type = "ShiftZ" *D'$"@w3 op.val1 = taq C/(M"j M op.parent = parID c)@>zto# AddOperation eID, op S1/`th Print "Set aqueous humor thickness = " & taq-0.55 _ Ro!"YVX ho>k$s? '************************************************************************* VXR]"W= 'Radius and conic constant of anterior lens bFA!=uvA '************************************************************************* ' oFxR003 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )
BUwONF GetConic eID, entity, curv, conic J)mhu} tDr#H!2
3 SetConic eID, entity, 1/Rant, CCant p-+K4 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 6\61~u ~ E9V5$ '************************************************************************* EC|'l 'Radius and conic constant of posterior lens +:3* '************************************************************************* "bDs2E+W eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6%Be36< GetConic eID, entity, curv, conic O$IjNx >J u]2++lx SetConic eID, entity, 1/Rpost, CCpost Cuc$3l(% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /O]t R @y31NH( '************************************************************************* hK<5KZ/4 'Lens thickness (Position of posterior lens surface) KRjV}\} '************************************************************************* >AJSqgHQ, 8( btZt parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )]#aa uC+ o!Rd ^ ' Delete any z-shift(s) W
d0NT@ count = 0 c*UvYzDZL While GetOperationCount(eID)>count m! U9m GetOperation eID, count, op 0-{tFN If op.Type="ShiftZ" Then -gQCn>" DeleteOperation eID,count 4[r/}/iGo count=count-1 85;b9k&\M End If ]jpu,jz: count=count+1 wp7!>%s{ Wend N?X~ w < \p%3vRwS%p 'Set new z-shift Ge d [#Q op.Type = "ShiftZ" JF/,K"J op.val1 = tlens k<+0o)) op.parent = parID ^fz+41lE\ AddOperation eID, op hR5_+cuIp Print "Set lens thickness = " & tlens mw5?[@G- .UoOO'1K '************************************************************************* Ngg?@pG0y 'Lens index of refraction zXsc1erli '************************************************************************* 1n\ t+F eID = FindMaterial( "Lens" ) ){r2T1+-% GetModelMaterial eID, mat id?h >g 5{$LsL mat.Nd = nlens )!tK[K?5 SetModelMaterial eID, mat !a$ D4(`v Print "Set lens index of refraction = " & nlens )#F]G$51r lD{Aa!\ '************************************************************************* >c-fI$] 'Pupil diameter l]<L [Y,E- '************************************************************************* l1]p'Liuu eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) rWh6RYd<T J9T3nTfL 'Adjust pupil diameter (trimming volume inner hole) ={?vAb: N N|u _ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =+w*gDr 21RP=0Q: ' Adjust pupil location to just in front of the lens exdx\@72 parID = FindFullName( "Geometry.Arizona Eye" ) -YD+(c`l eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) L#)(H^[ count = 0 _ pO ` While GetOperationCount(eID)>count 7 h y&-< GetOperation eID, count, op M/Pme&% If op.Type="ShiftZ" Then 2BCtJ`S` DeleteOperation eID,count ET];%~ ^ count=count-1 OGiV{9U End If jPnM>= count=count+1
fI\9\x Wend `"@ X.}\ op.Type = "ShiftZ" _lW+>xQ op.val1 = taq-0.01 a(]`F(L op.parent = parID @Mvd'.r<; AddOperation eID, op fJZp?e" fIF<g@s Print "Set pupil diameter = " & pupilDiam e4FM} z[ wB>r(xQ' 'Update AZ Eye subassembly Description Il.Ed-&62 eID = FindFullName( "Geometry.Arizona Eye" ) rw)kAe31 GetEntity eID, entity y$81Zq entity.Description = "Accommodation = " & A & "D" .}')f;jH5< SetEntity eID, entity `MP|Ovns:H VDB;%U*D Update n]+W 3[i Print "DONE!" 4lKVY< 8vk..!7n} End Sub S]sk7 |+ge8uu?C 如果屈光度是4,光瞳直径是4,则会输出如下数据: w#i[_ @5)
8L/[l Accommodation = 4 Diopters midsnG+jnf Pupil Diameter = 4 mm g/UaYCjM Set aqueous humor thickness = 2.81 hC_Vts[v/ Set anterior lens radius = 10.4 and conic constant = -2.375869 fQ+VT|jzx Set posterior lens radius = -4.424557 and conic constant = -3.081019 Cc?TSZ8[ Set lens thickness = 3.927 *]J dHO Set lens index of refraction = 1.42672 UueD(T;p Set pupil diameter = 4 l!E7AKk8 DONE! #[MJ|^\i
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