人眼光學(xué)模型可用來設(shè)計(jì)眼科用設(shè)備，光學(xué)系統(tǒng)注定了要與人眼一起使用。本文演示了這樣一個(gè)模型：Arizona眼睛模型，在Jim Schwiegerling教授的書中有詳細(xì)描述：《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型達(dá)到了基于平均臨床數(shù)據(jù)所決定的軸上和軸外像差等級(jí)。FRED文件包含了此眼睛模型及幾個(gè)用來分析它的光源，并包括一個(gè)基于想要的屈光度來調(diào)整模型的內(nèi)嵌腳本。 模型 模型的定義如表1種所示，由半徑、圓錐常數(shù)、折射率、阿貝數(shù)、到下一面的距離等一系列表面組成。一些參數(shù)由屈光度（A）來決定。 Table 1. AZ眼睛模型的定義 在FRED中使用0屈光度來創(chuàng)建的，光瞳加在了透鏡的前面。材料是創(chuàng)建一個(gè)新的材料并選擇類型“Model Material”,輸入的參數(shù)是nd和vd. 光源 多個(gè)光源定義來分析該模型的不同特性。圖1顯示了所以的光源和提示信息告訴您他們可以用來做什么。 圖1. 光源和提示信息使用 除了“Letter F”之外的所有光源的光線位置設(shè)定在了孔徑光闌位置處，并增加了pre-propagation distance= -8。盡管光線在光瞳處創(chuàng)建，規(guī)定的傳輸方向相對(duì)于光線位置在pre-propagation distance之后。這意味著光束沿著Z軸在眼睛的前面以平行光入射，而不是在光瞳處入射。 在往下看是內(nèi)置的腳本用來修改屈光度，使其為4（250mm），光源“Letter F”在視網(wǎng)膜處生成一個(gè)字母為F的圖像。綠色的光線聚焦的非常好而紅色和藍(lán)色光線有一點(diǎn)的模糊。使用Positions Spot Diagram分析工具來觀察最為合適。 圖3. 字母F在視網(wǎng)膜上位置點(diǎn)列圖 視網(wǎng)膜的散射 在散射文件中，有一個(gè)名為“Retina surface”的72%的反射型朗伯散射，它為視網(wǎng)膜的散射提供了一個(gè)粗略的近似。為了模擬來自視網(wǎng)膜的散射，改變自定義元件“Eye ball” 下的視網(wǎng)膜的表面從“halt all” 到”Allow All”。并使幾何中“plane”可追跡。 圖4. 視網(wǎng)膜朗伯散射設(shè)定 注意在視網(wǎng)膜的表面有散射重點(diǎn)采樣規(guī)格定義，在“Scatter”標(biāo)簽的底部可獲取該信息。“toward pupil”指定散射光朝向光瞳，半角度10度。 圖5. 視網(wǎng)膜重點(diǎn)采樣規(guī)格設(shè)定 腳本 內(nèi)置腳本使用對(duì)話框顯示屈光度和光瞳直徑的數(shù)值設(shè)置。使用FRED Basic腳本創(chuàng)建和使用對(duì)話框非常容易。圖6顯示了如何獲取用戶自定義對(duì)話框，如下圖所示： 圖6. 用戶對(duì)話框的創(chuàng)建與編輯 圖7. 用戶對(duì)話框編輯器 如果“OK”按鈕按下，將會(huì)核對(duì)對(duì)話框下面的代碼行，如果點(diǎn)擊取消則腳本終止。然后輸入的參數(shù)賦予變量，如果此處是保留為空白，則使用默認(rèn)值。因此，如果沒有值輸入并點(diǎn)擊“OK”按鈕，則腳本是以屈光度為0，光瞳直徑為4mm來運(yùn)行的。 余下的腳本計(jì)算與屈光度有關(guān)的所有參數(shù)。 分析 屈光度為4，光瞳直徑為4mm，字母F點(diǎn)在視網(wǎng)膜上所成的像。 圖7. 字母F在視網(wǎng)膜上顏色分析 腳本代碼 Option Explicit 'Remove this to enable non-dimensioned variables to be used. Dim entity As T_ENTITY Dim op As T_OPERATION Dim mat As T_MODELMATERIAL Dim A As Double Dim pupilDiam As Double Dim eID As Long Dim parID As Long Dim count As Integer Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Dim tlens As Double, nlens As Double Dim curv As Double, conic As Double Dim ok As Long Sub Main '用戶輸入對(duì)話框 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 TextBox 220,21,40,21,.TextBox1 'default: 0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 OKButton 40,91,90,21 CancelButton 190,91,90,21 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 TextBox 220,49,40,21,.TextBox2 'default: 4 End Dialog Dim dlg As UserDialog ok = Dialog (dlg) If ok=0 Then 'cancel button was pressed Print "Execution cancelled." End End If 'Assign accommodation and pupil diameter & use defaults if field left empty If dlg.TextBox1 = "" Then A = 0 'Default accommodation Else A = CDbl(dlg.TextBox1) End If If dlg.TextBox2 = "" Then pupilDiam = 4 'Default pupil diameter Else pupilDiam = CDbl(dlg.TextBox2) End If Print " " Print "Accommodation = " & A & " Diopters" Print "Pupil Diameter = " & pupilDiam & " mm" ' Calculate new parameters with accommodation taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Rant = 12.0 - 0.4*A 'Radius of anterior lens CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Rpost = -5.224557 + 0.2*A 'Radius of posterior lens CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tlens = 3.767 + 0.04*A 'Lens thickness nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 'Adjust parameters to account for accommodation '************************************************************************* 'Aqueous thickness (Position of Lens) '************************************************************************* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) GetCustomElement eID, entity parID = FindFullName( "Geometry.Arizona Eye" ) ' Delete any shift(s) in z count = 0 While GetOperationCount(eID)>count GetOperation eID, count, op If op.Type="ShiftZ" Then DeleteOperation eID,count count=count-1 End If count=count+1 Wend 'Set new shift in op.Type = "ShiftZ" op.val1 = taq op.parent = parID AddOperation eID, op Print "Set aqueous humor thickness = " & taq-0.55 '************************************************************************* 'Radius and conic constant of anterior lens '************************************************************************* eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) GetConic eID, entity, curv, conic SetConic eID, entity, 1/Rant, CCant Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant '************************************************************************* 'Radius and conic constant of posterior lens '************************************************************************* eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) GetConic eID, entity, curv, conic SetConic eID, entity, 1/Rpost, CCpost Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost '************************************************************************* 'Lens thickness (Position of posterior lens surface) '************************************************************************* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ' Delete any z-shift(s) count = 0 While GetOperationCount(eID)>count GetOperation eID, count, op If op.Type="ShiftZ" Then DeleteOperation eID,count count=count-1 End If count=count+1 Wend 'Set new z-shift op.Type = "ShiftZ" op.val1 = tlens op.parent = parID AddOperation eID, op Print "Set lens thickness = " & tlens '************************************************************************* 'Lens index of refraction '************************************************************************* eID = FindMaterial( "Lens" ) GetModelMaterial eID, mat mat.Nd = nlens SetModelMaterial eID, mat Print "Set lens index of refraction = " & nlens '************************************************************************* 'Pupil diameter '************************************************************************* eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 'Adjust pupil diameter (trimming volume inner hole) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ' Adjust pupil location to just in front of the lens parID = FindFullName( "Geometry.Arizona Eye" ) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) count = 0 While GetOperationCount(eID)>count GetOperation eID, count, op If op.Type="ShiftZ" Then DeleteOperation eID,count count=count-1 End If count=count+1 Wend op.Type = "ShiftZ" op.val1 = taq-0.01 op.parent = parID AddOperation eID, op Print "Set pupil diameter = " & pupilDiam 'Update AZ Eye subassembly Description eID = FindFullName( "Geometry.Arizona Eye" ) GetEntity eID, entity entity.Description = "Accommodation = " & A & "D" SetEntity eID, entity Update Print "DONE!" End Sub 如果屈光度是4，光瞳直徑是4，則會(huì)輸出如下數(shù)據(jù)： Accommodation = 4 Diopters Pupil Diameter = 4 mm Set aqueous humor thickness = 2.81 Set anterior lens radius = 10.4 and conic constant = -2.375869 Set posterior lens radius = -4.424557 and conic constant = -3.081019 Set lens thickness = 3.927 Set lens index of refraction = 1.42672 Set pupil diameter = 4 DONE! | 
