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简介 )1fQhdO}x 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。 -Ez| HnP;1Gi 模型 b=|&0B$E :LBe{Jbw 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 7-o=E= }=;>T)QmMO Table 1. AZ眼睛模型的定义 ^Nsl5 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. @>9p2u)= 5GJ0E Z'X 光源 R^B2J+O ==XP}w)m 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 |O4A+S AVyZ#`, +rT( 图1. 光源和提示信息使用 u4<r$[]V 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。 <,E*,&0W z}Z`kq+C 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。 g
Go 0[1!K&(L 图2. 字母F光源的设定方法光 S-rqrbr|AT 34oLl#q* 图3. 字母F在视网膜上位置点列图 $k`8Zx w 视网膜的散射 7
YK+TGmU^ \4j+pU 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ]F@md(J BL8\p_U jVA~]a 图4. 视网膜朗伯散射设定 zDl, bLiJ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ]JD$fS=_ ^mum5j *[SsvlFt 图5. 视网膜重点采样规格设定 m_(hCY=Q$ 脚本 } )e`0) vR)7qX} 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: \9}5}X_x. WD\{Sdx:r 图6. 用户对话框的创建与编辑 %7d"()L 图7. 用户对话框编辑器 Qi[D&47XO 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。 bY2Mw8e% 余下的脚本计算与屈光度有关的所有参数。 !n{c#HfG $1?X%8V 分析 <=inogf T8441qo{> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @}?D<O8#"# V^{!d} 图7. 字母F在视网膜上颜色分析 x5|v#
-F ^ 脚本代码 q],R6GcVr 5HbTgNI Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,\M_q">npc Q'a N|^w"f Dim entity As T_ENTITY hX_p5a1t Dim op As T_OPERATION {@#L'i| Dim mat As T_MODELMATERIAL 84!4Vz^ Dim A As Double {T.Vu]L80 Dim pupilDiam As Double zrew:5*uZ Dim eID As Long U959=e Dim parID As Long cA%U Dim count As Integer VjqdKQeVq Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double BLH=:zb5 Dim tlens As Double, nlens As Double U(N$6{i_ Dim curv As Double, conic As Double IA^)`l 7H Dim ok As Long .O#lab`:2 =Yj[MVn Sub Main 4LjSDgA 5dp#\J@ '用户输入对话框 5)zB/Ta< Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1
fE*I+pe TextBox 220,21,40,21,.TextBox1 'default: 0 W`'|&7~ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 iy82QNe OKButton 40,91,90,21 mG~y8nUtp CancelButton 190,91,90,21 XC1lo4| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +7/*y}.U TextBox 220,49,40,21,.TextBox2 'default: 4 iFCH$! End Dialog &&]!+fTZ\( Dim dlg As UserDialog |2<f<k/UT V3W85_* ok = Dialog (dlg) G
r|@CZq T+nC>}*jgJ If ok=0 Then 'cancel button was pressed N`Xnoehu Print "Execution cancelled." /V<`L End C9H11g7{ End If 4_%FSW8- GQ0 (&I 'Assign accommodation and pupil diameter & use defaults if field left empty gwaC?tf[ If dlg.TextBox1 = "" Then ePRM v A = 0 'Default accommodation ba9<(0` Else !;*2*WuO; A = CDbl(dlg.TextBox1) U9o*6`"o End If m90R8 V eH!|MHe If dlg.TextBox2 = "" Then 6&QTVdK'O pupilDiam = 4 'Default pupil diameter *z"1MU Else q7 oR9 pupilDiam = CDbl(dlg.TextBox2) .&x?`pER End If :ZfUjqRE cNr][AzU@ Print " " ptcLJ]+) Print "Accommodation = " & A & " Diopters" :/[YY?pg- Print "Pupil Diameter = " & pupilDiam & " mm" quGPk)c kw^Dp[8X ' Calculate new parameters with accommodation T7,Gf({ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~`>26BWQz e3={$A h Rant = 12.0 - 0.4*A 'Radius of anterior lens 31sgf5 s CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens FJ%R3N\ 4Eh BpTg
Rpost = -5.224557 + 0.2*A 'Radius of posterior lens b)hOzx CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 7x7r!rSe, =E}%>un tlens = 3.767 + 0.04*A 'Lens thickness yFU2'pB qv*uM0G6i nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction v6P~XK}G YNJpQAuSn) 'Adjust parameters to account for accommodation uU ?37V @j\?h$A/ '************************************************************************* 'oiD#\t4 'Aqueous thickness (Position of Lens) g.Caapy '************************************************************************* x$5nLS2. eID = FindFullName( "Geometry.Arizona Eye.Lens" )
)47j8jL GetCustomElement eID, entity LJNie* gjegzKU parID = FindFullName( "Geometry.Arizona Eye" ) mf]( 3ZL svq9@!go ' Delete any shift(s) in z d[RWkk5 count = 0 >,"D9! While GetOperationCount(eID)>count 4=F]`Lql GetOperation eID, count, op &X]=Qpl If op.Type="ShiftZ" Then ;vv!qBl|@ DeleteOperation eID,count t1:S!@ count=count-1
TCKI End If @maZlw1q count=count+1 i9@;,4f Wend 22Y!u00D Ss<_K>wk 'Set new shift in sPE)m_u op.Type = "ShiftZ" 1^60I#Vr@ op.val1 = taq 27*(oT op.parent = parID 'e<HP Ni) AddOperation eID, op jgo<#AJ/E Print "Set aqueous humor thickness = " & taq-0.55 "\zj][sL 5 <)gCHa '************************************************************************* KXx@
{cv 'Radius and conic constant of anterior lens N+C)/EN$ '************************************************************************* pRiH,:\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {glqWFT GetConic eID, entity, curv, conic "doU.U&u Pi"~/MGP$ SetConic eID, entity, 1/Rant, CCant T[4[/n>i Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant +Jo 3rX'` ezg^5o; '************************************************************************* ]w_ 'Radius and conic constant of posterior lens i!.I;@ '************************************************************************* G>[
NZE eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) \2].|Mym GetConic eID, entity, curv, conic BDm88<] hs{&G^!jo SetConic eID, entity, 1/Rpost, CCpost gI^L
9jE7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost (pT(&/\8 /jjW/lr '************************************************************************* xqQ~| 'Lens thickness (Position of posterior lens surface) \8> '************************************************************************* 2|0Qk& ]F"(OWW parID = FindFullName( "Geometry.Arizona Eye.Lens" ) z<yNG/M1>U [xZ/ZWb/ ' Delete any z-shift(s) B8cBQ v count = 0 .# !'c While GetOperationCount(eID)>count *l> [`U+ GetOperation eID, count, op L@1,7@
If op.Type="ShiftZ" Then O?nPxa< DeleteOperation eID,count j.=UI-&m count=count-1 b(.-~c(' End If W 9&0k+#^ count=count+1 [l8V<*x%S9 Wend Ism^hyL .])>A')r 'Set new z-shift cX|[WT0[I op.Type = "ShiftZ" 6?3/Ul} op.val1 = tlens p4m^ ~e op.parent = parID &\J?[>EJ. AddOperation eID, op T:K" Print "Set lens thickness = " & tlens H4PbO/{xO %XEKhy '************************************************************************* >\|kJ?h 'Lens index of refraction @9}),hl` '************************************************************************* "*Lj8C3|n eID = FindMaterial( "Lens" ) *3A3>Rwu GetModelMaterial eID, mat bx hP jAL )z2|"Lp mat.Nd = nlens G$?|S@I, SetModelMaterial eID, mat 0[n c7)sW Print "Set lens index of refraction = " & nlens Hv8SYQ| d\~p5_5. '************************************************************************* _u:>1] 'Pupil diameter 9">zdFC' '************************************************************************* q[{: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) .dD9&n;#^ g\ErJ+i 'Adjust pupil diameter (trimming volume inner hole) Wmz q |ZvNH ~! SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" RL?u n}Qa (H&@u9K?a? ' Adjust pupil location to just in front of the lens 6B7< parID = FindFullName( "Geometry.Arizona Eye" ) zq,iLoY[R eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 38[)[{G)Hv count = 0 nkCecwzr- While GetOperationCount(eID)>count jrIA]K6 GetOperation eID, count, op I\}|Y+C$d/ If op.Type="ShiftZ" Then Yta1` DeleteOperation eID,count G 6Wx3~ count=count-1 _LJ5o_-N End If 7m@
)Lv count=count+1 c5X`_ Wend w-
UKMW9" op.Type = "ShiftZ" 3^!Hl8P7 op.val1 = taq-0.01 uWUR3n op.parent = parID J__;.rnk AddOperation eID, op }X=87ud
*f79=x Print "Set pupil diameter = " & pupilDiam -G8c5b[ zL9VR;q 'Update AZ Eye subassembly Description .4wTjbO6 eID = FindFullName( "Geometry.Arizona Eye" ) uA~YRKer GetEntity eID, entity -@rxiC:Q entity.Description = "Accommodation = " & A & "D" dSwm|kIa SetEntity eID, entity ,VAp>x+O GtF2@\ Update kt:)W])V Print "DONE!"
RXBb:f vKU`C?,L End Sub 3AK(dC[ri c\M#5+ 1j 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,
Hn7(^t ue@8voZhS/ Accommodation = 4 Diopters wuKl-:S;Vs Pupil Diameter = 4 mm (Up'$J} Set aqueous humor thickness = 2.81 HzE1r+3Q@ Set anterior lens radius = 10.4 and conic constant = -2.375869 gF3TwAr Set posterior lens radius = -4.424557 and conic constant = -3.081019 mV<i JZh Set lens thickness = 3.927 , 7Xqte Set lens index of refraction = 1.42672 Xq|nJ|h Set pupil diameter = 4 (B&h;U$HAH DONE! UV4u.7y prZ55MS. (文章来源:讯技光电)
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