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简介 AG><5 } {.ypZ8JU 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。 3^5h:OaT \>x1#Vr>#V 模型 RAWzQE} X8):R- J 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。 NxnaH!wS &4ndi=.#rg Table 1. AZ眼睛模型的定义 q1v7(`O 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. udmLHc %+/Dv 光源 f3S 8~! t~<HFY*w 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。 sf/m@425 cbl>:ev1h bM.$D-?dF* 图1. 光源和提示信息使用 e=3C*+lq\ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Lp/'-Y_ z[6avW"q 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 %J Jp/I @Ne&%F?^Z 图2. 字母F光源的设定方法光 X}Om)WCr f@[)*([ 图3. 字母F在视网膜上位置点列图 TU':Rt 视网膜的散射 <@[;IX`YN W =;,ls 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 \iaZV.#f (H"{r 4>OS2b`.; 图4. 视网膜朗伯散射设定 Zu2`IzrG# 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 /GX>L) ]=9 d'WL ay|jq"a 图5. 视网膜重点采样规格设定 TQb@szp:| 脚本 Nu3gkIz5z- V^4v`}Wgx 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ![$`Ivro` %8wBZ~1- 图6. 用户对话框的创建与编辑 `\|tXl. 图7. 用户对话框编辑器 Hpa6;eT 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。 7r^Cs#b+I 余下的脚本计算与屈光度有关的所有参数。 )B+R|PZ, `JY+3d,Ui 分析 5D2mZ/ Vr Lp5?Bh 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 &-{%G=5~e% hW'b'x< 图7. 字母F在视网膜上颜色分析 A+GRTwj 脚本代码 b8Z_oN5! <T;V9(66 Option Explicit 'Remove this to enable non-dimensioned variables to be used. S=lCzL;j" $STGH Dim entity As T_ENTITY dNY'uv&Y Dim op As T_OPERATION &@'%0s9g Dim mat As T_MODELMATERIAL ij#v_~g3 Dim A As Double ,X1M!' Dim pupilDiam As Double cMF)2^w} Dim eID As Long Nsq=1)
< Dim parID As Long uF1 4; Dim count As Integer Ly3!0P.< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^*4#ZvpG2 Dim tlens As Double, nlens As Double I\1"E y Dim curv As Double, conic As Double )P? F ni} Dim ok As Long YFPse.2$a 0^\H$An*k Sub Main n#Dy
YVb 1*G&ZI '用户输入对话框 &WLN Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 xb%Q[V_m TextBox 220,21,40,21,.TextBox1 'default: 0 >~Gy+- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 H ?9Bo! OKButton 40,91,90,21 _
Pzgn@D CancelButton 190,91,90,21 g!'
x5#]n Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ^|6#Vx TextBox 220,49,40,21,.TextBox2 'default: 4 -^yc<%U End Dialog lP)n$?u Dim dlg As UserDialog 74:( -vS m1jEky( ok = Dialog (dlg) :RukW.MR DJ7ak>"R
If ok=0 Then 'cancel button was pressed re/u3\S Print "Execution cancelled."
F):kF_ho End Gey-8 End If H.]V-|U
:h(3Ep 'Assign accommodation and pupil diameter & use defaults if field left empty ~Q
Q1ZP3 If dlg.TextBox1 = "" Then ?lgE9I] A = 0 'Default accommodation /DH`7E Else ^ H2TSaJ; A = CDbl(dlg.TextBox1) Sin)]zG~0 End If 2]Cn<zJ -6uLww=w4 If dlg.TextBox2 = "" Then y7CXE6Y pupilDiam = 4 'Default pupil diameter l{.PyU5) Else ~,};FI pupilDiam = CDbl(dlg.TextBox2) 1|-C(UW> End If frm[<-~ w0 bZgo}`o% Print " " lul Print "Accommodation = " & A & " Diopters" Iurz?dt4w Print "Pupil Diameter = " & pupilDiam & " mm" 4clCZ@\K^ B*3_m
_a ' Calculate new parameters with accommodation 0vDvp`ie#4 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness "QS(4yw?jg SeS ZMv Rant = 12.0 - 0.4*A 'Radius of anterior lens %
q!i CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens )BI%cD IcQpbF0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %La/E# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens N4-Y0BO jqj}j2
9 tlens = 3.767 + 0.04*A 'Lens thickness >k@{NP2b ^/Yk*Ny nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction _X<V`,
p S/y(1.wh 'Adjust parameters to account for accommodation s nxwe g(s}R ? '************************************************************************* rk&oKd_&i 'Aqueous thickness (Position of Lens) 2uY:p=DxG9 '************************************************************************* w^HI
lA eID = FindFullName( "Geometry.Arizona Eye.Lens" ) o](ORS$~ GetCustomElement eID, entity :4X,5X7tW= JUDZ_cGr parID = FindFullName( "Geometry.Arizona Eye" ) @q]!C5
uQW[2f ' Delete any shift(s) in z #=Xa(<t count = 0 :mCGY9d4L While GetOperationCount(eID)>count wod{C ! GetOperation eID, count, op n]5Pfg|a If op.Type="ShiftZ" Then I 6<LKI/ DeleteOperation eID,count #3?"#),q count=count-1 >tL"8@z9 End If s:,fXg25J count=count+1 a04S&ezj Wend kaR55 Cx(HsJ!, 'Set new shift in E6G;fPd= E op.Type = "ShiftZ" j9RpYz op.val1 = taq F3Vvqt*2 op.parent = parID 6~s{HI! AddOperation eID, op B@ \0b| Print "Set aqueous humor thickness = " & taq-0.55 [vY)y\W{ C;70,!3 '************************************************************************* B1i'Mzm-4 'Radius and conic constant of anterior lens GLV`IkU % '************************************************************************* CSm(yB{|pC eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) R5uz< GetConic eID, entity, curv, conic 5/m*Lc+r 95D(0qv SetConic eID, entity, 1/Rant, CCant Pff-eT+~m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N;m62N u6\W"LW '************************************************************************* u |$GOSD 'Radius and conic constant of posterior lens l`JKQk '************************************************************************* hE2{m{^A eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) K~5(j{Kb8 GetConic eID, entity, curv, conic MI8c>5? ?PB}2*R SetConic eID, entity, 1/Rpost, CCpost \jkDRR[ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost c1f`?i}. <sGioMr '************************************************************************* &j{IG`Trl 'Lens thickness (Position of posterior lens surface) )@.ODW;` '************************************************************************* ,Qe`(vU*s )=,;-&AR parID = FindFullName( "Geometry.Arizona Eye.Lens" ) yaX%<KBa\
DshRH>7s8 ' Delete any z-shift(s) ?* dfIc count = 0 *q Ins/@ While GetOperationCount(eID)>count 9 &Od7Cn
GetOperation eID, count, op ,(#n8|q4 If op.Type="ShiftZ" Then 0R,Y[).U DeleteOperation eID,count [vCZD8"Y8 count=count-1 zjx'nK{eI End If xoE,3Sn count=count+1 +n 8,=} Wend 0j'k%R[l 1
7hXg"B 'Set new z-shift `jDmbD
+= op.Type = "ShiftZ" -32.g\] op.val1 = tlens =1F F2#zS op.parent = parID q]*:RI?wGT AddOperation eID, op ><;.vP Print "Set lens thickness = " & tlens N%?8Bm~dP j%*<W> O '************************************************************************* UDa\* 'Lens index of refraction 04z2gAo '************************************************************************* qjvIp- eID = FindMaterial( "Lens" ) oX1{~lDJl GetModelMaterial eID, mat W}oAgUd rMUQh~a/ mat.Nd = nlens Wuji'sxTs SetModelMaterial eID, mat ?DJ,YY9P Print "Set lens index of refraction = " & nlens :cTwp K 1FC1*7A[ '************************************************************************* ((_v>{ 'Pupil diameter TqMy">> '************************************************************************* #1f8A5< eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) B3Esfk u:4?$%rB 'Adjust pupil diameter (trimming volume inner hole)
D'Sdz\:4 JSiLG0 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <0)@Ikhx 1hgmlY` ' Adjust pupil location to just in front of the lens K<tkNWasQ parID = FindFullName( "Geometry.Arizona Eye" ) T k>N4yq eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #bLeK$ count = 0 I#hzU8Cc While GetOperationCount(eID)>count l.i&.;f GetOperation eID, count, op rB%acTCz=[ If op.Type="ShiftZ" Then lV !@h}mG DeleteOperation eID,count 0IjQqI count=count-1 =u`^QE End If +EgQj*F* count=count+1 .W%{j()op Wend ;zvg] % op.Type = "ShiftZ" =2[cpF] op.val1 = taq-0.01 kQm\;[R op.parent = parID pfvNVu AddOperation eID, op "%Eyb\V! #r)c@?T@j Print "Set pupil diameter = " & pupilDiam X\1'd,V Y1vSwS%{T 'Update AZ Eye subassembly Description $
p{Q ]|ww eID = FindFullName( "Geometry.Arizona Eye" ) j^~WAWbFh GetEntity eID, entity N5[fwz
w entity.Description = "Accommodation = " & A & "D" nPUq+cXy]C SetEntity eID, entity Lw.N3!e[ fXYg % Update vrIM!~*W Print "DONE!" eESJk14 P
A9
]L End Sub `+QrgtcEy4 Y&5h_3K;< 如果屈光度是4,光瞳直径是4,则会输出如下数据: BY$%gIB6> CxtH?9# | Accommodation = 4 Diopters Jj'~\j Pupil Diameter = 4 mm vf(\?Js, Set aqueous humor thickness = 2.81 L+s,,k Set anterior lens radius = 10.4 and conic constant = -2.375869 X Jy]d/ Set posterior lens radius = -4.424557 and conic constant = -3.081019 .
\fzK Set lens thickness = 3.927 DY{JA
*N Set lens index of refraction = 1.42672 G?d28p',. Set pupil diameter = 4 :U<`iJwY DONE! }45&s9m=
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