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简介 /7p(%vr 1n7'\esC* 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。 xFM^-`7 p>3QW3< 模型 $9r4MMs{$ m8R=wb
: 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。 E.ji;5 /]-yZ0hX0O Table 1. AZ眼睛模型的定义 >BK/HuS 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. P6ktA-Hv> UHU ,zgM 光源 N'aq4okoL .7 LQ l? 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。 [UC_ %,
iAngF' y&O?`"Uv/M 图1. 光源和提示信息使用 cjO%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。 yJ0%6],^g ^ACrWk~UY 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。 IO=$+c 9rT^rTV 图2. 字母F光源的设定方法光 6vps`k$,~ |pG0 .p4 图3. 字母F在视网膜上位置点列图 " Y^9g/ 视网膜的散射 YX)Rs
Vf /QVwZrch 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{2CV\^>5 .j^BWr mD&I6F[s 图4. 视网膜朗伯散射设定 S^p^)
fAmF 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。 8Lx1XbwK $M!iQ"bb /3SEu(d! 图5. 视网膜重点采样规格设定 ='4)E6ea? 脚本 /BQqg08@L =jS$piw. 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: |j9aTv[` -mh"["L" 图6. 用户对话框的创建与编辑 xLi3|^q 图7. 用户对话框编辑器 5p:BHw;%; 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。 2fu<s^9dh 余下的脚本计算与屈光度有关的所有参数。 Yo'Y-h# lz<'
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. 分析 r<:d+5" yTK3eK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 pmWy:0 R gC iM\Qx 图7. 字母F在视网膜上颜色分析 Z2})n
- 脚本代码 -vT{D$&1 :#?_4D!r Option Explicit 'Remove this to enable non-dimensioned variables to be used. W}3%BWn iDl#foXa` Dim entity As T_ENTITY b)e;Q5Z(. Dim op As T_OPERATION t^zE^:06 Dim mat As T_MODELMATERIAL gt(p%~ Dim A As Double s2|.LmC3|B Dim pupilDiam As Double =7H\llL4BC Dim eID As Long :3D6OBkB Dim parID As Long ?a% F3B Dim count As Integer 'v
CMf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double z~~pH9=c2 Dim tlens As Double, nlens As Double "9QZX[J|* Dim curv As Double, conic As Double =SeQ- H# Dim ok As Long S5ai@Ksf a@|H6:| Sub Main cb0rkmO w2X HY>6]; '用户输入对话框 .[1 f$ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U5~aG!E TextBox 220,21,40,21,.TextBox1 'default: 0 4:a ~Wlp[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 a:UkVK]MP OKButton 40,91,90,21 =p=/@ FN CancelButton 190,91,90,21 F!u)8>s+z{ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 \#Jq%nd TextBox 220,49,40,21,.TextBox2 'default: 4 x7<l*WQ End Dialog _D?/$D7u#% Dim dlg As UserDialog lZ[J1:% 7.ein:M|CB ok = Dialog (dlg) j$/#2%OVN ^9 LoxU- If ok=0 Then 'cancel button was pressed cNmAr8^} Print "Execution cancelled." wEX<[#a- End hHVAN3e End If wL3RcXW``e CdmpKkq# 'Assign accommodation and pupil diameter & use defaults if field left empty Al8Dw)uG{ If dlg.TextBox1 = "" Then SG\ /m'F A = 0 'Default accommodation 8,[ *BgeX Else t1mG] A = CDbl(dlg.TextBox1) \ctzv``/n End If *aWh]x9TlU MnF|'t If dlg.TextBox2 = "" Then p"~@q} 3 pupilDiam = 4 'Default pupil diameter /<$|tp\Rc Else 4~$U#$u_ pupilDiam = CDbl(dlg.TextBox2) ~uZ9%UB_m End If ^%Cd@!dk 7_qsVhh]$E Print " " oPa oQbR(A Print "Accommodation = " & A & " Diopters" CL7/J[TS Print "Pupil Diameter = " & pupilDiam & " mm" -X7x~x- &1^~G0Rh\ ' Calculate new parameters with accommodation `RE>gX taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness %@)q=*=y iM:-750n/ Rant = 12.0 - 0.4*A 'Radius of anterior lens M.MQ?`_"b CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 4]0:zS*O nXb_\9E Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 2
V \hG?< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $E^sA|KcT c1+z(NQ3 tlens = 3.767 + 0.04*A 'Lens thickness U"Bge\6x= y&8`NS#_p? nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction V/"RCqY4 eX"Ecl{ 'Adjust parameters to account for accommodation ELMz~vp #`%S[)RT '************************************************************************* S[/udA 'Aqueous thickness (Position of Lens) . a @7 '************************************************************************* #Y-_kQV* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) wG)[Ik6: GetCustomElement eID, entity cyHbAtl :PY8)39@K parID = FindFullName( "Geometry.Arizona Eye" ) ~-lUS0duh ]|w~{X!b4 ' Delete any shift(s) in z p=x&X~
count = 0 6}c!>n[' While GetOperationCount(eID)>count Nr,I`x\N GetOperation eID, count, op upk_;ae If op.Type="ShiftZ" Then Yqo @
g2g DeleteOperation eID,count r]D>p&4 count=count-1 BOM0QskLf End If 1)ij*L8k count=count+1 \vV]fX Wend =+DhLH}8 Bt$,=k 'Set new shift in `VGw5o op.Type = "ShiftZ" Q$`uZ op.val1 = taq #sjGju"#_ op.parent = parID b|kL*{; AddOperation eID, op |G6'GTwZD Print "Set aqueous humor thickness = " & taq-0.55 I D-I<Ev &1yErGXC '************************************************************************* ..'"kX:5 'Radius and conic constant of anterior lens T5T[$%]6 '************************************************************************* :ntAU2)H eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Zn)o@'{}{ GetConic eID, entity, curv, conic Ujvm|ml ]S9Z5l0 SetConic eID, entity, 1/Rant, CCant j%]sym Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant D[6sy`5l wnXU= '************************************************************************* ){,Mv:#+T 'Radius and conic constant of posterior lens W}zq9|p '************************************************************************* c0&!S-4M eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) LXrk5>9 GetConic eID, entity, curv, conic a;~< iB;3" b~)2`l SetConic eID, entity, 1/Rpost, CCpost Ks(l :oUB Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost yn(bW\ +`B^D '************************************************************************* ]uh/ !\ 'Lens thickness (Position of posterior lens surface) IFa~`Gf [ '************************************************************************* M80O;0N%A 6iEg]FI parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ]{+Y!tD <W7WlT ' Delete any z-shift(s) ]EDCs?, count = 0 b~YIaD[Z While GetOperationCount(eID)>count i$6a0'@U GetOperation eID, count, op 7z/O#Fbs If op.Type="ShiftZ" Then y
)<+?@sP DeleteOperation eID,count itiSZL, count=count-1 8+Gwv
SDU End If SsfC
m C count=count+1 e6{E(=R[M Wend N$:-q'hX Vl<7> 'Set new z-shift {KEmGHC4R op.Type = "ShiftZ" o:4#AkS op.val1 = tlens }rs>B,=*k op.parent = parID n8T'}d+mm AddOperation eID, op ^4<&"aoo Print "Set lens thickness = " & tlens DeT$4c*:[ T;PLUjp} '************************************************************************* Pl`Nniy 'Lens index of refraction .XkVdaX '************************************************************************* #67 7,dn eID = FindMaterial( "Lens" ) 9GTp};Kg GetModelMaterial eID, mat hK{<&T mZM7 4!4X mat.Nd = nlens f3>DmH# SetModelMaterial eID, mat H5UF r,t Print "Set lens index of refraction = " & nlens c"1Z,M;G @+y,E-YTdV '************************************************************************* vO/ 3bu} 'Pupil diameter G)Y,*., '************************************************************************* 7i#/eRui eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) BD^1V(
I/ 0O]v| 'Adjust pupil diameter (trimming volume inner hole) pDvznpQ qss)5a/x. SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" J^<uo( <Kl$ek8 ' Adjust pupil location to just in front of the lens {5d 5Y%& parID = FindFullName( "Geometry.Arizona Eye" ) [9MbNJt 8~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 7~k=t!gTY count = 0 Y
ZuA"l Y While GetOperationCount(eID)>count \.Op6ECV9 GetOperation eID, count, op ^kz(/c/ ? If op.Type="ShiftZ" Then )t\aB_ = DeleteOperation eID,count H?xYS|
n count=count-1 2\T\p<_20 End If ~$"2,& count=count+1 "J+4 Wend CHD.b%_| op.Type = "ShiftZ" _G25$%/LU op.val1 = taq-0.01 39F
e#u op.parent = parID P$*Ngt AddOperation eID, op u-mD" vP? T Print "Set pupil diameter = " & pupilDiam ]H\tz@
& iJmzVR+ 'Update AZ Eye subassembly Description 5wl;fL~e eID = FindFullName( "Geometry.Arizona Eye" ) B##X94aTT GetEntity eID, entity VRD^> Gi entity.Description = "Accommodation = " & A & "D" y%kZ## SetEntity eID, entity .sFN[>) ha 2=O Update "VU/Ucb7 Print "DONE!" ~(GNY5 DZ`m{l3H End Sub pv-c>8Wb6 S'hUh'PZ 如果屈光度是4,光瞳直径是4,则会输出如下数据: {s*2d P) ^M;#x$Y? Accommodation = 4 Diopters ?A*!rW:l; Pupil Diameter = 4 mm 3T4HX|rC Set aqueous humor thickness = 2.81 9
Qa_3+.B Set anterior lens radius = 10.4 and conic constant = -2.375869 hCd? Kti Set posterior lens radius = -4.424557 and conic constant = -3.081019 A=p'`]Yld Set lens thickness = 3.927 v_WQ<G? Set lens index of refraction = 1.42672 V{A`?Jl6{ Set pupil diameter = 4 SO[ u4b_"h DONE! *)6\V}` X;l/D},. PiCGZybCA QQ:2987619807 uLPBl~Y
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