{"id":17616,"date":"2021-04-13T23:15:22","date_gmt":"2021-04-14T03:15:22","guid":{"rendered":"https:\/\/www.iridian.ca\/?page_id=17616"},"modified":"2024-06-06T05:47:41","modified_gmt":"2024-06-06T09:47:41","slug":"wavelength-budgeting-for-optical-filters-dup","status":"publish","type":"post","link":"https:\/\/www.iridian.ca\/zh-hans\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/","title":{"rendered":"Wavelength budgeting for optical filters"},"content":{"rendered":"<h1><\/h1>\n<h2><span style=\"color: #333399;\">Abstract:<\/span><\/h2>\n<p>Considerations when specifying transition pass bands, blocking bands, and transition widths include filter manufacturing tolerances, thermal tolerances and source\/detector variations among others. These factors must be taken into account properly and completely in order to achieve the spectral performance required for an application.<\/p>\n<h2><span style=\"color: #333399;\">Introduction:<\/span><\/h2>\n<p>We are all familiar with budgeting in our daily lives \u2013 budgeting our time or finances between different activities that are priorities (family, work, self-care, food, shelter, clothing, heath, etc) or optional activities (entertainment, hobbies, travel, etc).\u00a0 We are always making trade-offs between \u201cneed to have\u201d and \u201cnice to have\u201d options and sometimes even balancing allocation of time or money among the \u201cneed to have\u201d items.<\/p>\n<p>The same budgeting exercise is necessary when it comes to specifying optical filters.\u00a0 There are always trade-offs to be made between specific optical performance specs and costs and the use conditions that lead to these specs.<\/p>\n<p>One of, if not, the primary user influenced considerations in most wavelength selective (band pass (BPF) or edge pass (LPF or SPF and notch) optical filters is the allowed spectral transition zone between high transmission wavelengths and high blocking (or reflecting) spectral bands as defined by the requirements of the device in question.\u00a0 Specifying this transition zone, or \u201cdead band\u201d as we like to call it, is a key driver in complexity and cost of most optical filters as it directly constrains the required steepness of the filter. \u00a0In different applications this might be called \u201cband spacing\u201d or \u201cchannel spacing\u201d or \u201cisolation bandwidth\u201d (among other terms).\u00a0 This spectral separation defines the total budget that we have available to \u201cspend\u201d on the influences due to the application and those due to realities associated with filter manufacture.<\/p>\n<p>There are a few key application uses and filter manufacturing parameters that influence the spectral width of dead-band and so we\u2019ll discuss here these parameters and how they consume the wavelength budget of optical filters.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<h2><span style=\"color: #333399;\">Application influences on wavelength budget:<\/span><\/h2>\n<p>There are three primary application related \u201cconsumers\u201d of the available wavelength budget; these are parameters that are under control of the application designer (as filter designers we can only indicate the impact of these parameters and have little opportunity to reduce or optimize for these effects).<\/p>\n<ul>\n<li>Operating temperature range:<\/li>\n<\/ul>\n<p>All optical thin film filters will experience a shift in the spectral performance as a function of the operating temperature.\u00a0 Most filters will shift to longer wavelengths with increasing temperature although some mid-wave infrared (MWIR) filters use materials that shift to shorter wavelength with increasing temperature.\u00a0 The direction of the shift with temperature is, however, not important as what matters is the total temperature range over which the filter needs to operate (a design can be targeted for operation at any nominal temperature although the shift does need to be factored into the design and characterization (especially if the filter operates at a different temperature than the test conditions)).<\/p>\n<p>The thermally influenced wavelength drift (\u0394WL<sub>Temp<\/sub>) of a filter is typically specified in terms of the temperature coefficient (T<sub>c<\/sub> in units of pm\/C) with typical values ranging between 1-2pm\/C up to 10-20pm\/C depending on the substrates and coating materials multiplied by the temperature range of operation.<\/p>\n<p>\u0394WL<sub>Temp<\/sub> = T<sub>c<\/sub> x (Max Temp \u2013 Min temp)\u2502<\/p>\n<p>For example, a filter with a 10pm\/C thermal drift that needs to work from -20C to 80C will experience 1nm of thermal drift from the thermal extremes (10pm\/C x 100 C = 1000pm (or 1nm)).\u00a0\u00a0 This value will need to be subtracted from the budget defined by the band spacing requirements.<\/p>\n<ul>\n<li>Operating angle of incidence and angle range:<\/li>\n<\/ul>\n<p>Multilayer thin film optical filters will experience a \u201cblue shift\u201d to shorter wavelengths with increasing angle of incidence.\u00a0 Similar to temperature range above, the nominal angle at which a filter needs to operate can be accounted for \u201cby design\u201d and needs to be factored into characterization; what matters with respect to wavelength budget is the range of angles over which the filter needs to meet all optical specifications.\u00a0 This range can be due to uncertainty (typically referred to as the angular tolerance) in the nominal angle of incidence (AOI) and\/or a variation in the angle on the filter caused by a focused or divergent (ie not collimated) incident beam (typically specified as the cone half-angle (CHA)).\u00a0 However, this shift with angle is non-linear so a filter with a nominal AOI of 0 deg and a total angular contribution of +\/- 5 deg will experience a much smaller spectral shift than a filter with a nominal AOI of 45 deg and a total angular contribution of +\/-5 deg. \u00a0Where possible operating at a smaller nominal AOI is recommended to minimize the impact on budget.<\/p>\n<p>The actual value of spectral shift is highly design dependent so it is not possible to provide a typical scale of shift with AOI.\u00a0 Designs can be adjusted somewhat to minimize spectral shift or alternate material sets can be chosen but there is limited design freedom to adjust this parameter.<\/p>\n<ul>\n<li>Polarization<\/li>\n<\/ul>\n<p>The polarization states of the light used in an application can also impact the wavelength budget.\u00a0 Once again the actual polarization state used (s or p polarization) is not important but rather the need for the filter to work for a single polarization state, over both polarization states, often termed random polarization (ie must be fully functional for s and p) or average polarization (ie must work when the average of s and p polarization is considered (this is often used in definitions but is not a valid description of actual use conditions)).\u00a0 A filter specified for use at a single polarization (or for use at or near 0 deg where s and p align) will have no contribution to the wavelength budget from polarization.\u00a0 In contrast a filter designed to work at a large AOI or over a large angle range for both polarizations will have to include a large wavelength budget contribution to account for the differences in spectral shape for each polarization at different AOI values.<\/p>\n<p>If uncertain it is best to assume the filter needs to work for random polarization; any other case requires explicit control of the polarization of the incident beam (typically only seen in laser clean-up filters).<\/p>\n<ul>\n<li>Source\/Laser wavelength variation<\/li>\n<\/ul>\n<p>The source wavelength of incident light used in any optical system will vary; the variation may be relatively small such that it can be ignored (e.g. sub GHz variations between HeNe lasers), or it can be relatively large (e.g. as much as +\/-0.1% for some solid state lasers). In some cases each individual laser is stable, but there is a device to device variation such that there is still an uncertainty in the wavelength that the filter will see in use. \u00a0The result is that the dead-band in a system requiring filtering of two different nominal wavelengths needs to be adjusted to account for this uncertainty, thus reducing the total available wavelength budget.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<h2><span style=\"color: #333399;\">Filter manufacturing influences on wavelength budget:<\/span><\/h2>\n<p>Beyond the requirements of the filter in application, there are several aspects of the actual manufacture of filters that also need to be considered in the wavelength budget.<\/p>\n<ul>\n<li>Filter design<\/li>\n<\/ul>\n<p>Virtually any filter shape can be designed but in practice manufacturing variations of \u201creal-world\u201d production are critical.\u00a0 Filters must be designed with consideration given to factors such as the coating materials to be used (what is available and reliable) and minimization of complexity\/thickness.\u00a0 Increased thickness of coatings negatively influences cost along with other parameters such as wavefront error and surface quality.\u00a0 In practice there is a maximum value to the achievable design edge steepness so the slope of this edge always takes up some of the total wavelength budget.<\/p>\n<ul>\n<li>Wavelength targeting<\/li>\n<\/ul>\n<p>Once designed the filter needs to be manufactured.\u00a0 In this process it is extremely unlikely that the edges of the spectral curve will line up exactly with that of the design.\u00a0 This wavelength targeting offset needs to be estimated at time of quotation and budgeted for spectrally.\u00a0 The wavelength targeting budget can be minimized somewhat if the filter can be actively angle tuned in application (ie tilt tuned to match the ideal spectral edge position) or by reducing the assumed run success rate, assuming that with multiple attempts eventually the edges will line up with design \u2013 this is a very costly approach to reducing the wavelength targeting budget.<\/p>\n<ul>\n<li>Coating non-uniformity<\/li>\n<\/ul>\n<p>Especially for larger parts (anything larger than a few mm\u2019s) spatial variations in spectral performance due to coating non-uniformities must also be factored into the wavelength budget.\u00a0 Similar to wavelength targeting below, non-uniformity is manifested as an offset in the spectral edge position as compared to the design \u2013 the key difference is that this offset can be different at different positions on the part to the geometry of the coating approach used.\u00a0 The total expected uniformity variation (ie variation in edge wavelength) must be subtracted from the total allowed wavelength budget.\u00a0 This may be reduced by coater configuration but can often require set-up runs and again is a relatively expensive approach that may quickly run into diminishing returns especially for larger parts (eg 50mm).\u00a0 Also the non-uniformity is highly design dependent so what is a \u201clarge part\u201d from a uniformity perspective will depend on the spectral performance that is being targeted.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<h2><span style=\"color: #333399;\">Budget Calculations \u2013 a hypothetical example<\/span><\/h2>\n<p>The following example illustrates the various consumers of wavelength budget discussed above and how this can result in a filter that is not possible to make as specified.<\/p>\n<p><span style=\"color: #ff0000;\"><em>NOTE: the values below are not intended to be representative of a real system, in particular the manufacturing margins, and so are provided for illustrative purposes only \u2013 these values should not be used in designing an optical system and\/or specifying filter requirements<\/em><\/span><\/p>\n<ul>\n<li><span style=\"color: #333399;\">Spectral transition zone<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Allowed dead band (transition from T&gt;95% to R&gt;98%): 1560nm to 1545nm \u00e0 <strong><u>15 nm<\/u><\/strong><\/span>\n<ul>\n<li><span style=\"color: #333399;\">This sets the total wavelength budget available<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #333399;\">Operating temperature range<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Tc ~20 pm\/C, temperature range -40C to 80C<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Wavelength shift over temperature range:\u00a0~<strong><u>2.4 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #333399;\">Operating AOI range<\/span>\n<ul>\n<li><span style=\"color: #333399;\">AOI range from 20 deg to 25 deg (ie 22.5 +\/-2.5deg):<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Wavelength shift over AOI range:\u00a0 ~<strong><u>11 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #333399;\">Polarization<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Single polarization<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Wavelength shift to account for polarization: <strong><u>0 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #333399;\">Source variation<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Variation due to uncertainty in the two sources: <strong><u>~0.2nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #333399;\">Filter design<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Design curve slope from T&gt;95% to R&gt;98%: ~<strong><u>0 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #333399;\">Wavelength targeting<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Manufacturing margin for wavelength targeting: ~<strong><u>2 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #333399;\">Coating non-uniformity<\/span>\n<ul>\n<li><span style=\"color: #333399;\">Manufacturing margin for uniformity: ~<strong><u>5 nm<\/u><\/strong><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"color: #333399;\">Sum of the \u201capplication influenced\u201d wavelength budget consumers:<\/span><\/p>\n<p><span style=\"color: #333399;\">Temp range (2) + AOI range (3) + Polarization (4) + Source (5) = 2.4 + 11 + 0 = 0.2 = ~<strong><u>13.6 nm<\/u><\/strong><\/span><\/p>\n<p><span style=\"color: #333399;\">Sum of the \u201cfilter manufacturing influenced\u201d wavelength budget consumers:<\/span><\/p>\n<p><span style=\"color: #333399;\">Design (6) + Targeting (7) + Non-uniformity (8) = 3.0 + 0.2 + 1.5 = ~<strong><u>4.7 nm<\/u><\/strong><\/span><\/p>\n<p><span style=\"color: #333399;\">Total wavelength budget required: 13.4 + 4.7 = ~<strong>18.3 nm<\/strong><\/span><\/p>\n<p><span style=\"color: #333399;\">Total budget available (1): <strong>15 nm<\/strong><\/span><\/p>\n<p>As the wavelength budget required by the application and filter manufacturing considerations exceeds by more than 3 nm the budget available from the desired dead-band this filter is, as specified, unmanufacturable.<\/p>\n<p>In order to come up with a manufacturable solution application trade-offs would be necessary such as reducing the AOI range or nominal AOI or moving the defined transmission and reflection wavelength points further apart.\u00a0 The filter manufacturer could try to reduce some of the manufacturing margins but these are already small contributions to the budget so there is little to be gained (and any gains would need to come with higher costs due to increased manufacturing complexity and risks of requiring repeated runs).<\/p>\n<p>The two optical system design parameters that most frequently may be adjusted to have the biggest benefit on reducing the wavelength shift within the filter dead-band are:<\/p>\n<ul>\n<li>AOI and AOI range:\n<ul>\n<li>This is a physical parameter that may be modified at time of system design and often can have the largest impact on wavelength budget; either by reducing the nominal working AOI or by locating the filter in a more collimated part of the beam.<\/li>\n<\/ul>\n<\/li>\n<li>Filter useable aperture dimensions:\n<ul>\n<li>The coating non-uniformity spec is a function of the spatial area over which the spectral performance must be maintained. By either reducing the size of the filter or by only specifying the performance over the beam area within a larger physical size the functional effect of non-uniformity may be minimized. Specifying performance where it is not functionally needed unnecessarily increases complexity and cost.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><\/h2>\n<h2><span style=\"color: #333399;\">Conclusion<\/span><\/h2>\n<p>As in day to day life, we need to set and live within our budget when designing and manufacturing filters.\u00a0 It is best to engage with the filter design and manufacturing team as early as possible in the system design process to ensure that system design constraints are compatible with filters that can be manufactured in practice.<\/p>\n<p>&nbsp;<\/p>\n<a href='\/rfq\/' class='big-button bigblue' target=\"_blank\">Contact Sales for Your Custom Solutions<\/a>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: Considerations when specifying transition pas [&hellip;]<\/p>\n","protected":false},"author":159,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[2205,2211],"tags":[],"class_list":["post-17616","post","type-post","status-publish","format-standard","hentry","category-learning_center","category-tech_notes"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Wavelength budgeting for optical filters - Iridian Spectral Technologies<\/title>\n<meta name=\"description\" content=\"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Wavelength budgeting for optical filters\" \/>\n<meta property=\"og:description\" content=\"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\" \/>\n<meta property=\"og:site_name\" content=\"Iridian Spectral Technologies\" \/>\n<meta property=\"article:published_time\" content=\"2021-04-14T03:15:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-06-06T09:47:41+00:00\" \/>\n<meta name=\"author\" content=\"Jeremy Liu\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@IridianSpectral\" \/>\n<meta name=\"twitter:site\" content=\"@IridianSpectral\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jeremy Liu\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"10 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\"},\"author\":{\"name\":\"Jeremy Liu\",\"@id\":\"https:\/\/www.iridian.ca\/#\/schema\/person\/fb22ca7f20b82edc2caa1ca0d153e72b\"},\"headline\":\"Wavelength budgeting for optical filters\",\"datePublished\":\"2021-04-14T03:15:22+00:00\",\"dateModified\":\"2024-06-06T09:47:41+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\"},\"wordCount\":2099,\"publisher\":{\"@id\":\"https:\/\/www.iridian.ca\/#organization\"},\"articleSection\":[\"Learning Center\",\"Technical Notes\"],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\",\"url\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\",\"name\":\"Wavelength budgeting for optical filters - Iridian Spectral Technologies\",\"isPartOf\":{\"@id\":\"https:\/\/www.iridian.ca\/#website\"},\"datePublished\":\"2021-04-14T03:15:22+00:00\",\"dateModified\":\"2024-06-06T09:47:41+00:00\",\"description\":\"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs\",\"breadcrumb\":{\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.iridian.ca\/zh-hans\/home-cn-dup\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Learning Center\",\"item\":\"https:\/\/www.iridian.ca\/technical-resources\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Optical Filter Tutorials\",\"item\":\"https:\/\/www.iridian.ca\/zh-hans\/%e6%8a%80%e6%9c%af%e8%b5%84%e6%ba%90\/%e5%85%89%e5%ad%a6%e6%bb%a4%e9%95%9c%e6%95%99%e7%a8%8b\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Wavelength budgeting for optical filters\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.iridian.ca\/#website\",\"url\":\"https:\/\/www.iridian.ca\/\",\"name\":\"Iridian Spectral Technologies\",\"description\":\"Innovative Thin-Film Optical Filters\",\"publisher\":{\"@id\":\"https:\/\/www.iridian.ca\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.iridian.ca\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.iridian.ca\/#organization\",\"name\":\"Iridian Spectral Technologies\",\"url\":\"https:\/\/www.iridian.ca\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.iridian.ca\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.iridian.ca\/wp-content\/uploads\/2017\/02\/Iridian-logo-reverse-jpg_mini.jpg\",\"contentUrl\":\"https:\/\/www.iridian.ca\/wp-content\/uploads\/2017\/02\/Iridian-logo-reverse-jpg_mini.jpg\",\"width\":930,\"height\":323,\"caption\":\"Iridian Spectral Technologies\"},\"image\":{\"@id\":\"https:\/\/www.iridian.ca\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/x.com\/IridianSpectral\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.iridian.ca\/#\/schema\/person\/fb22ca7f20b82edc2caa1ca0d153e72b\",\"name\":\"Jeremy Liu\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.iridian.ca\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/ea23f2750df6c7c72d4e1eb71785ccc6270f5cb2a7889fc3459828d57afe0329?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/ea23f2750df6c7c72d4e1eb71785ccc6270f5cb2a7889fc3459828d57afe0329?s=96&d=mm&r=g\",\"caption\":\"Jeremy Liu\"},\"url\":\"https:\/\/www.iridian.ca\/zh-hans\/author\/jeremy\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Wavelength budgeting for optical filters - Iridian Spectral Technologies","description":"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/","og_locale":"zh_CN","og_type":"article","og_title":"Wavelength budgeting for optical filters","og_description":"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs","og_url":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/","og_site_name":"Iridian Spectral Technologies","article_published_time":"2021-04-14T03:15:22+00:00","article_modified_time":"2024-06-06T09:47:41+00:00","author":"Jeremy Liu","twitter_card":"summary_large_image","twitter_creator":"@IridianSpectral","twitter_site":"@IridianSpectral","twitter_misc":{"\u4f5c\u8005":"Jeremy Liu","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"10 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#article","isPartOf":{"@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/"},"author":{"name":"Jeremy Liu","@id":"https:\/\/www.iridian.ca\/#\/schema\/person\/fb22ca7f20b82edc2caa1ca0d153e72b"},"headline":"Wavelength budgeting for optical filters","datePublished":"2021-04-14T03:15:22+00:00","dateModified":"2024-06-06T09:47:41+00:00","mainEntityOfPage":{"@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/"},"wordCount":2099,"publisher":{"@id":"https:\/\/www.iridian.ca\/#organization"},"articleSection":["Learning Center","Technical Notes"],"inLanguage":"zh-Hans"},{"@type":"WebPage","@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/","url":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/","name":"Wavelength budgeting for optical filters - Iridian Spectral Technologies","isPartOf":{"@id":"https:\/\/www.iridian.ca\/#website"},"datePublished":"2021-04-14T03:15:22+00:00","dateModified":"2024-06-06T09:47:41+00:00","description":"Budgeting is necessary when it comes to specifying optical filters. There are always trade-offs to be made between optical performance specs and costs","breadcrumb":{"@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.iridian.ca\/learning_center\/wavelength-budgeting-for-optical-filters-dup\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.iridian.ca\/zh-hans\/home-cn-dup\/"},{"@type":"ListItem","position":2,"name":"Learning Center","item":"https:\/\/www.iridian.ca\/technical-resources\/"},{"@type":"ListItem","position":3,"name":"Optical Filter Tutorials","item":"https:\/\/www.iridian.ca\/zh-hans\/%e6%8a%80%e6%9c%af%e8%b5%84%e6%ba%90\/%e5%85%89%e5%ad%a6%e6%bb%a4%e9%95%9c%e6%95%99%e7%a8%8b\/"},{"@type":"ListItem","position":4,"name":"Wavelength budgeting for optical filters"}]},{"@type":"WebSite","@id":"https:\/\/www.iridian.ca\/#website","url":"https:\/\/www.iridian.ca\/","name":"Iridian Spectral Technologies","description":"Innovative Thin-Film Optical Filters","publisher":{"@id":"https:\/\/www.iridian.ca\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.iridian.ca\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/www.iridian.ca\/#organization","name":"Iridian Spectral Technologies","url":"https:\/\/www.iridian.ca\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.iridian.ca\/#\/schema\/logo\/image\/","url":"https:\/\/www.iridian.ca\/wp-content\/uploads\/2017\/02\/Iridian-logo-reverse-jpg_mini.jpg","contentUrl":"https:\/\/www.iridian.ca\/wp-content\/uploads\/2017\/02\/Iridian-logo-reverse-jpg_mini.jpg","width":930,"height":323,"caption":"Iridian Spectral Technologies"},"image":{"@id":"https:\/\/www.iridian.ca\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/x.com\/IridianSpectral"]},{"@type":"Person","@id":"https:\/\/www.iridian.ca\/#\/schema\/person\/fb22ca7f20b82edc2caa1ca0d153e72b","name":"Jeremy Liu","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.iridian.ca\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/ea23f2750df6c7c72d4e1eb71785ccc6270f5cb2a7889fc3459828d57afe0329?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/ea23f2750df6c7c72d4e1eb71785ccc6270f5cb2a7889fc3459828d57afe0329?s=96&d=mm&r=g","caption":"Jeremy Liu"},"url":"https:\/\/www.iridian.ca\/zh-hans\/author\/jeremy\/"}]}},"_links":{"self":[{"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/posts\/17616","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/users\/159"}],"replies":[{"embeddable":true,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/comments?post=17616"}],"version-history":[{"count":2,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/posts\/17616\/revisions"}],"predecessor-version":[{"id":17804,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/posts\/17616\/revisions\/17804"}],"wp:attachment":[{"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/media?parent=17616"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/categories?post=17616"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.iridian.ca\/zh-hans\/wp-json\/wp\/v2\/tags?post=17616"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}