I am trying to determine whether it is possible to use a reversed lens to defocus a collimated beam into a ball lens in order to increase the BFL of the ball lens. What formulas would I need to use to calculate the lens required and its position?

我们十分重视您的隐私

Edmund Optics 使用 cookies 来优化和增强我们网站的功能和内容。点击"确定 "以获得完整的用户体验，点击 "详细信息 "按钮可查看有关我们使用的 cookie 的其他信息。我们不会出售从营销 cookie 中获得的有关您的信息，我们仅将其用于改善您在Edmund Optics 的体验。

自定义

必要的cookie能够通过启用诸如网页导航和访问网站的安全领域等基本功能以使网站可用。若没有这些cookie，网站将无法恰当运行。
- Cookiebot
  1
  了解有关此提供商的更多信息
  CookieConsentStores the user's cookie consent state for the current domain
  最大存储时长: 1 年类别: HTTP Cookie
- Google
  2
  了解有关此提供商的更多信息
  Some of the data collected by this provider is for the purposes of personalization and measuring advertising effectiveness.
  rc::aThis cookie is used to distinguish between humans and bots. This is beneficial for the website, in order to make valid reports on the use of their website.
  最大存储时长: 永久类别: HTML 本地存储
  rc::cThis cookie is used to distinguish between humans and bots.
  最大存储时长: 临时类别: HTML 本地存储
- LinkedIn
  1
  了解有关此提供商的更多信息
  li_gcStores the user's cookie consent state for the current domain
  最大存储时长: 180 天类别: HTTP Cookie
- LiveChat
  2
  了解有关此提供商的更多信息
  __lc_cid網站聊天框功能運作的必要項目。
  最大存储时长: 400 天类别: HTTP Cookie
  __lc_cst網站聊天框功能運作的必要項目。
  最大存储时长: 400 天类别: HTTP Cookie
- Livechat
  1
  了解有关此提供商的更多信息
  #:stateNecessary for the functionality of the website's chat-box function.
  最大存储时长: 永久类别: HTML 本地存储
- app-ab25.marketo.com
  edmundoptics.com
  eogo.edmundoptics.com
  3
  __cf_bm [x3]This cookie is used to distinguish between humans and bots. This is beneficial for the website, in order to make valid reports on the use of their website.
  最大存储时长: 1 天类别: HTTP Cookie
- app-ab25.marketo.com
  eogo.edmundoptics.com
  2
  BIGipServer# [x2]Used to distribute traffic to the website on several servers in order to optimise response times.
  最大存储时长: 临时类别: HTTP Cookie
- edmundoptics.com.tw
  1
  QuoteID儲存您報價購物車的識別碼。
  最大存储时长: 14 天类别: HTTP Cookie
- productimages.edmundoptics.com
  www.edmundoptics.com.tw
  4
  AWSALB [x2]Registers which server-cluster is serving the visitor. This is used in context with load balancing, in order to optimize user experience.
  最大存储时长: 7 天类别: HTTP Cookie
  AWSALBCORS [x2]Registers which server-cluster is serving the visitor. This is used in context with load balancing, in order to optimize user experience.
  最大存储时长: 7 天类别: HTTP Cookie
- service.mtcaptcha.com
  3
  jsVThese cookies are used to secure the website from unwanted bots and automated scripts and help verify human users.
  最大存储时长: 临时类别: HTTP Cookie
  mtv1ConfSumhttps://www.mtcaptcha.com/faq-cookie-declaration
  最大存储时长: 临时类别: HTTP Cookie
  mtv1Pulsehttps://www.mtcaptcha.com/faq-cookie-declaration
  最大存储时长: 临时类别: HTTP Cookie
- www.edmundoptics.com.tw
  3
  .AspNetCore.Antiforgery.#Helps prevent Cross-Site Request Forgery (CSRF) attacks.
  最大存储时长: 临时类别: HTTP Cookie
  .AspNetCore.Mvc.CookieTempDataProviderPreserves the visitor's session state across page requests.
  最大存储时长: 临时类别: HTTP Cookie
  UMB_SESSIONStores domain prefix to determine whether it holds https or http URL properties.
  最大存储时长: 临时类别: HTTP Cookie
偏好cookie能够使网站记住更改网站行为或外观的信息，就好比您的首选语言或所在地区一样。
- LiveChat
  1
  了解有关此提供商的更多信息
  __oauth_redirect_detectorAllows the website to recoqnise the visitor, in order to optimize the chat-box functionality.
  最大存储时长: 1 天类别: HTTP Cookie
- Livechat
  2
  了解有关此提供商的更多信息
  @@lc_auth_token:3b0f44ba-5eb5-4bb1-a9e1-2214776a186bIdentifies the visitor across devices and visits, in order to optimize the chat-box function on the website.
  最大存储时长: 永久类别: HTML 本地存储
  @@lc_idsIdentifies the visitor across devices and visits, in order to optimize the chat-box function on the website.
  最大存储时长: 永久类别: HTML 本地存储
- edmundoptics.com.tw
  1
  chatEngaged顯示使用者是否與網站聊天方塊互動，以判定是否應對使用者顯示聊天邀請。
  最大存储时长: 14 天类别: HTTP Cookie
统计cookie能够通过收集和匿名报告信息帮助网站拥有者了解访客与网站互动的方式。
- Convert Insight
  4
  了解有关此提供商的更多信息
  conv_variationsThis cookie is used by the website’s operator in context with multi-variate testing. This is a tool used to combine or change content on the website. This allows the website to find the best variation/edition of the site.
  最大存储时长: 永久类别: HTML 本地存储
  _conv_rThis cookie is used as a referral-cookie that stores the visitor’s profile – the cookie is overwritten when the visitor re-enters the website and new information on the visitor is collected and stored.
  最大存储时长: 临时类别: HTTP Cookie
  _conv_sThis cookie contains an ID string on the current session. This contains non-personal information on what subpages the visitor enters – this information is used to optimize the visitor's experience.
  最大存储时长: 1 天类别: HTTP Cookie
  _conv_vThis cookie is used to identify the frequency of visits and how long the visitor is on the website. The cookie is also used to determine how many and which subpages the visitor visits on a website – this information can be used by the website to optimize the domain and its subpages.
  最大存储时长: 6 月类别: HTTP Cookie
- Google
  7
  了解有关此提供商的更多信息
  Some of the data collected by this provider is for the purposes of personalization and measuring advertising effectiveness.
  _ga [x2]Registers a unique ID that is used to generate statistical data on how the visitor uses the website.
  最大存储时长: 25 月类别: HTTP Cookie
  _ga_# [x3]Used by Google Analytics to collect data on the number of times a user has visited the website as well as dates for the first and most recent visit.
  最大存储时长: 25 月类别: HTTP Cookie
  _gat由 Google Analytics 用於節流要求率
  最大存储时长: 1 天类别: HTTP Cookie
  _gid登錄唯一識別碼，該識別碼用於產生訪客如何使用網站的統計資料。
  最大存储时长: 1 天类别: HTTP Cookie
- Livechat
  1
  了解有关此提供商的更多信息
  _livechat_has_visitedIdentifies the visitor across devices and visits, in order to optimize the chat-box function on the website.
  最大存储时长: 永久类别: HTML 本地存储
- Wisepops
  2
  了解有关此提供商的更多信息
  wisepops_props [x2]用于网站上的弹出式广告内容中。此 cookie 会确定应向访问者显示哪些广告，并确保这些广告的显示次数不会超出预期。
  最大存储时长: 临时类别: HTTP Cookie
- edmundoptics.com.tw
  2
  ce_diff_time由 Crazy Egg 用於偏移時間進行分析。
  最大存储时长: 14 天类别: HTTP Cookie
  ce_ip_address由 Crazy Egg 用於儲存使用者的 IP 位址。
  最大存储时长: 14 天类别: HTTP Cookie
营销cookie用于对网站上的访客进行追踪。其目的是为了显示对个人用户来说相关及有吸引力的广告，因此，对于发布人和第三方广告商来说更为宝贵。
- Meta Platforms, Inc.
  4
  了解有关此提供商的更多信息
  _fbp [x2]Used by Facebook to deliver a series of advertisement products such as real time bidding from third party advertisers.
  最大存储时长: 3 月类别: HTTP Cookie
  lastExternalReferrerDetects how the user reached the website by registering their last URL-address.
  最大存储时长: 永久类别: HTML 本地存储
  lastExternalReferrerTimeDetects how the user reached the website by registering their last URL-address.
  最大存储时长: 永久类别: HTML 本地存储
- Convert Insight
  2
  了解有关此提供商的更多信息
  conv_randThis cookie is used by the website’s operator in context with multi-variate testing. This is a tool used to combine or change content on the website. This allows the website to find the best variation/edition of the site.
  最大存储时长: 永久类别: HTML 本地存储
  _conv_sptestThis cookie is used by the website’s operator in context with multi-variate testing. This is a tool used to combine or change content on the website. This allows the website to find the best variation/edition of the site.
  最大存储时长: 临时类别: HTTP Cookie
- Google
  8
  了解有关此提供商的更多信息
  Some of the data collected by this provider is for the purposes of personalization and measuring advertising effectiveness.
  _gcl_au [x2]Used by Google AdSense for experimenting with advertisement efficiency across websites using their services.
  最大存储时长: 3 月类别: HTTP Cookie
  IDE由 Google DoubleClick 用於登錄及回報網站使用者在檢視或點選其中一個廣告商廣告後的行動，目的是衡量廣告效果，並向使用者提供目標式廣告。
  最大存储时长: 400 天类别: HTTP Cookie
  pagead/landing [x2]Collects data on visitor behaviour from multiple websites, in order to present more relevant advertisement - This also allows the website to limit the number of times that they are shown the same advertisement.
  最大存储时长: 临时类别: 像素追踪器
  test_cookie用於檢查使用者瀏覽器是否支援 Cookie。
  最大存储时长: 1 天类别: HTTP Cookie
  NID登錄唯一識別碼，該識別碼會識別回流的使用者裝置。識別碼用於目標式廣告。
  最大存储时长: 6 月类别: HTTP Cookie
  pagead/1p-user-list/#Tracks if the user has shown interest in specific products or events across multiple websites and detects how the user navigates between sites. This is used for measurement of advertisement efforts and facilitates payment of referral-fees between websites.
  最大存储时长: 临时类别: 像素追踪器
- LinkedIn
  2
  了解有关此提供商的更多信息
  bcookie由社群網路服務 LinkedIn 用於追蹤內嵌服務的使用情形。
  最大存储时长: 1 年类别: HTTP Cookie
  lidc由社群網路服務 LinkedIn 用於追蹤內嵌服務的使用情形。
  最大存储时长: 1 天类别: HTTP Cookie
- Usercentrics GmbH
  1
  了解有关此提供商的更多信息
  1.gifUsed to count the number of sessions to the website, necessary for optimizing CMP product delivery.
  最大存储时长: 临时类别: 像素追踪器
- Wisepops
  15
  了解有关此提供商的更多信息
  __tld__ [x2]Used to track visitors on multiple websites, in order to present relevant advertisement based on the visitor's preferences.
  最大存储时长: 临时类别: HTTP Cookie
  wisepops [x2]用于网站上的弹出式广告内容中。此 cookie 会确定应向访问者显示哪些广告，并确保这些广告的显示次数不会超出预期。
  最大存储时长: 临时类别: HTTP Cookie
  wisepops_session [x2]用于网站上的弹出式广告内容中。此 cookie 会确定应向访问者显示哪些广告，并确保这些广告的显示次数不会超出预期。
  最大存储时长: 临时类别: HTTP Cookie
  wisepops_visitor [x2]Used in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 400 天类别: HTTP Cookie
  wisepops_visits [x2]用于网站上的弹出式广告内容中。此 cookie 会确定应向访问者显示哪些广告，并确保这些广告的显示次数不会超出预期。
  最大存储时长: 400 天类别: HTTP Cookie
  wisepops_session_idUsed in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 临时类别: HTML 本地存储
  wisepops_session_landing_urlUsed in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 临时类别: HTML 本地存储
  wisepops_session_referrerUsed in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 临时类别: HTML 本地存储
  wisepops-pageview_idUsed in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 临时类别: HTML 本地存储
  wisepops-uses-attentionUsed in context with pop-up advertisement-content on the website. The cookie determines which ads the visitor should be shown, as well as ensuring that the same ads does not get shown more than intended.
  最大存储时长: 临时类别: HTML 本地存储
- YouTube
  22
  了解有关此提供商的更多信息
  #-#Used to track user’s interaction with embedded content.
  最大存储时长: 临时类别: HTML 本地存储
  f83cc9-781152bd待定
  最大存储时长: 临时类别: HTML 本地存储
  iU5q-!O9@$Registers a unique ID to keep statistics of what videos from YouTube the user has seen.
  最大存储时长: 临时类别: HTML 本地存储
  LAST_RESULT_ENTRY_KEYUsed to track user’s interaction with embedded content.
  最大存储时长: 临时类别: HTTP Cookie
  LogsDatabaseV2:V#||LogsRequestsStoreStores the user's video player preferences using embedded YouTube video
  最大存储时长: 永久类别: IndexedDB
  nextIdUsed to track user’s interaction with embedded content.
  最大存储时长: 临时类别: HTTP Cookie
  remote_sidNecessary for the implementation and functionality of YouTube video-content on the website.
  最大存储时长: 临时类别: HTTP Cookie
  requestsUsed to track user’s interaction with embedded content.
  最大存储时长: 临时类别: HTTP Cookie
  ServiceWorkerLogsDatabase#SWHealthLogNecessary for the implementation and functionality of YouTube video-content on the website.
  最大存储时长: 永久类别: IndexedDB
  TESTCOOKIESENABLEDUsed to track user’s interaction with embedded content.
  最大存储时长: 1 天类别: HTTP Cookie
  VISITOR_INFO1_LIVE嘗試預估使用者在整合 YouTube 影片頁面的頻寬。
  最大存储时长: 180 天类别: HTTP Cookie
  YSC登錄唯一識別碼，以保存使用者曾經觀賞的 YouTube 影片統計資料。
  最大存储时长: 临时类别: HTTP Cookie
  yt.innertube::nextIdRegisters a unique ID to keep statistics of what videos from YouTube the user has seen.
  最大存储时长: 永久类别: HTML 本地存储
  ytidb::LAST_RESULT_ENTRY_KEYStores the user's video player preferences using embedded YouTube video
  最大存储时长: 永久类别: HTML 本地存储
  YtIdbMeta#databasesUsed to track user’s interaction with embedded content.
  最大存储时长: 永久类别: IndexedDB
  yt-remote-cast-availableStores the user's video player preferences using embedded YouTube video
  最大存储时长: 临时类别: HTML 本地存储
  yt-remote-cast-installed儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 临时类别: HTML 本地存储
  yt-remote-connected-devices儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 永久类别: HTML 本地存储
  yt-remote-device-id儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 永久类别: HTML 本地存储
  yt-remote-fast-check-period儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 临时类别: HTML 本地存储
  yt-remote-session-app儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 临时类别: HTML 本地存储
  yt-remote-session-name儲存使用者使用內嵌 YouTube 影片的影片播放器偏好設定
  最大存储时长: 临时类别: HTML 本地存储
- edmundoptics.com.tw
  7
  _gaexp本 Cookie 由 Google Analytics 用於判定訪客是否參與其行銷實驗。
  最大存储时长: 14 天类别: HTTP Cookie
  _mkto_trk包含訪客行為及網站互動等資料。這是在電子郵件行銷服務 Marketo.com 的情境中使用，可讓網站透過電子郵件鎖定訪客。
  最大存储时长: 14 天类别: HTTP Cookie
  gwcc啟用 Google Website Call Conversions - 如果訪客在「聯絡我們」子頁面中點選通話，此項功能就會登錄。本資訊用於統計和行銷目的。
  最大存储时长: 14 天类别: HTTP Cookie
  m南韓企業 Naver Analytics 使用的追蹤像素，用於追蹤網站參與度
  最大存储时长: 14 天类别: HTTP Cookie
  NWB由南韓企業 Naver Analytics 用於網頁分析，以便追蹤及回報網站流量
  最大存储时长: 14 天类别: HTTP Cookie
  NWB_LEGACY由南韓企業 Naver Analytics 用於網頁分析，以便追蹤及回報網站流量
  最大存储时长: 14 天类别: HTTP Cookie
  wcs_bt由南韓企業 Naver Analytics 用於跨站網頁分析
  最大存储时长: 14 天类别: HTTP Cookie
未分类cookie指的是我们正在同个人Cookie提供者一起分类的cookie。

Cookie 声明由Cookiebot最后更新于 9/11/24

[#IABV2_TITLE#]

[#IABV2_BODY_INTRO#]

[#IABV2_BODY_LEGITIMATE_INTEREST_INTRO#]

[#IABV2_BODY_PREFERENCE_INTRO#]

[#IABV2_BODY_PURPOSES_INTRO#]

[#IABV2_BODY_PURPOSES#]

[#IABV2_BODY_FEATURES_INTRO#]

[#IABV2_BODY_FEATURES#]

[#IABV2_BODY_PARTNERS_INTRO#]

[#IABV2_BODY_PARTNERS#]

Cookie是网站为了使用我们的用户体验更加有效而使用的小文本文件。法律规定，倘若cookie对于本网站的运营来说是完全必要的，那么，我们便可以在您的设备上存储cookie。而所有其它类别的cookie则需要获得您的许可。本网站使用各种不同类别的cookie。有些cookie是由显示在我们网站上的第三方服务放置的。

您可随时从我们网站的Cookie声明中更改或撤回您的同意。

了解更多有关我们是谁、如何联系我们以及我们的隐私政策如何处理个人数据的信息。您就同意书与我们联系时请说明您的同意书ID和日期

不要出售或分享我的个人信息

I am trying to determine whether it is possible to use a reversed lens to defocus a collimated beam into a ball lens in order to increase the BFL of the ball lens. What formulas would I need to use to calculate the lens required and its position?

You can use a negative focal length lens (Negative Achromatic Lens, Plano-Concave Lens, or Double Concave Lens) in combination with a Ball Lens to increase the back focal length of the ball lens. The focal length of the negative lens would have to be smaller in absolute value than the positive focal length of the ball lens in order to extend the back focal length. Another method to increase back focal length is to simply use a ball lens with as small an index of refraction as you can find. Our N-BK7 ball lenses have the smallest index and generally the longest focal lengths of any of our ball lenses. View Understanding Ball Lenses for additional information and useful equations.

這項內容對您是否實用？

感謝您對此項內容評分！