{"id":2987,"date":"2026-07-22T00:49:16","date_gmt":"2026-07-21T22:49:16","guid":{"rendered":"https:\/\/gekkophotonics.com\/narzedzia\/gestosc-mocy-lasera\/"},"modified":"2026-07-22T02:28:06","modified_gmt":"2026-07-22T00:28:06","slug":"gestosc-mocy-lasera","status":"publish","type":"page","link":"https:\/\/gekkophotonics.com\/de\/narzedzia\/laser-leistungsdichte-und-schaedigungsschwelle-rechner\/","title":{"rendered":"Rechner f\u00fcr Laserleistungsdichte und Probensch\u00e4digungsschwelle"},"content":{"rendered":"<style>:root{--page-title-display:none;}<\/style>\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2987\" class=\"elementor elementor-2987 elementor-bc-flex-widget\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0a31ab4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0a31ab4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-09203d5\" data-id=\"09203d5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-648d13a elementor-widget elementor-widget-html\" data-id=\"648d13a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<style>\n\/* Gekko Photonics \u2014 Narz\u0119dzia Ramana.\n   Font = kanon Design System (Manrope). Kolory\/cienie\/radius dopasowane do \u017cywej\n   strony (navy #2B2E83, cie\u0144 0 14px 40px, radius 14\/10). Scope pod .gk-tool. *\/\n@import url('https:\/\/fonts.googleapis.com\/css2?family=Manrope:wght@400;500;600;700;800&display=swap');\n\n.gk-tool{\n  --blue:#019FE2; --blue-600:#0088C2; --blue-50:#EDF8FD; --blue-100:#D6EFFA;\n  --navy:#2B2E83; --navy-dark:#192A3D;\n  --ink:#101828; --ink-2:#3A4256; --ink-3:#667085;\n  --line:#E4E7EC; --line-2:#D0D5DD; --surface:#FFFFFF; --surface-2:#F7F8FA;\n  --gold:#F3C969; --ok:#12B76A; --warn:#F3C969; --danger:#E04B4B;\n  --r-card:14px; --r-in:10px; --r-pill:999px;\n  --sh:0 14px 40px rgba(16,24,40,.12); --sh-sm:0 2px 8px rgba(16,24,40,.06);\n  --focus:0 0 0 4px rgba(1,159,226,.14);\n  --ease:cubic-bezier(.22,1,.36,1);\n  --f-body:\"Manrope\",system-ui,-apple-system,\"Segoe UI\",Arial,sans-serif;\n  --f-head:\"Manrope\",system-ui,sans-serif;\n  --mono:ui-monospace,\"SF Mono\",Menlo,Consolas,monospace;\n\n  font-family:var(--f-body); color:var(--ink-2); line-height:1.6; font-size:16px;\n  max-width:1140px; margin:0 auto; padding:clamp(28px,4vw,56px) 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.badge.ok{background:rgba(18,183,106,.12);color:#087443;}\n.gk-tool .badge.no{background:rgba(224,75,75,.10);color:#b42318;}\n\n\/* details \/ obja\u015bnienie *\/\n.gk-tool details{border:1px solid var(--line);border-radius:var(--r-card);padding:2px 18px;background:var(--surface);margin-top:16px;}\n.gk-tool summary{cursor:pointer;font-family:var(--f-head);font-weight:700;color:var(--navy);padding:14px 0;list-style:none;}\n.gk-tool summary::-webkit-details-marker{display:none;}\n.gk-tool summary::before{content:\"+\";color:var(--blue);font-weight:800;margin-right:10px;font-family:var(--f-body);}\n.gk-tool details[open] summary::before{content:\"\u2013\";}\n.gk-tool details .body{padding:0 0 16px;font-size:15px;color:var(--ink-2);line-height:1.65;}\n.gk-tool .formula{font-family:var(--mono);font-size:14px;background:var(--surface-2);border:1px solid var(--line);border-radius:var(--r-in);padding:13px 15px;color:var(--ink);overflow-x:auto;line-height:1.7;}\n\n\/* hub kafelki \u2014 styl 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rgba(31,42,90,.10);color:var(--navy);}\n.gk-tool .tile .ico svg{width:38px;height:38px;}\n.gk-tool .tile-body{flex:1 1 auto;min-width:0;display:flex;flex-direction:column;justify-content:center;min-height:72px;}\n.gk-tool .tile-title{font-size:18px;line-height:1.15;font-weight:700;color:#1f2a5a;margin:0 0 4px;overflow-wrap:break-word;}\n.gk-tool .tile-go{align-self:center;flex:0 0 auto;color:var(--navy);font-size:22px;line-height:1;opacity:.55;transition:transform .25s ease,color .2s ease,opacity .2s ease;}\n.gk-tool a.tile:hover .tile-go{transform:translateX(3px);color:#34b5eb;opacity:1;}\n\n\/* expert CTA \u2014 panel \u201eporozmawiajmy o Twoim przypadku\" przy wyniku *\/\n.gk-tool .gk-expert{background:var(--blue-50);border:1px solid var(--blue-100);border-radius:var(--r-in);padding:18px 20px;margin-top:18px;}\n.gk-tool .gk-expert-head{display:flex;gap:14px;align-items:center;justify-content:space-between;flex-wrap:wrap;}\n.gk-tool 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.gk-lf .msg{margin-top:12px;font-size:14px;font-weight:600;min-height:1em;}\n.gk-tool .gk-lf .row{display:flex;gap:10px;flex-wrap:wrap;margin-top:14px;}\n\n\/* CTA lead \u2014 jak sekcje navy na stronie *\/\n.gk-tool .cta{background:var(--navy);color:#fff;border-radius:var(--r-card);padding:clamp(26px,3vw,40px);margin-top:44px;box-shadow:var(--sh);}\n.gk-tool .cta h2{color:#fff;}\n.gk-tool .cta p{color:#C7CBE8;}\n.gk-tool .cta .gk-lf-grid{margin-top:18px;}\n.gk-tool .cta input[type=email],.gk-tool .cta input[type=text]{\n  width:100%;background:rgba(255,255,255,.10);border:1px solid rgba(255,255,255,.24);color:#fff;\n  border-radius:var(--r-in);padding:13px 15px;font-size:16px;font-family:var(--f-body);}\n.gk-tool .cta input::placeholder{color:#a6abd6;}\n.gk-tool .cta input:focus{outline:none;border-color:var(--blue);box-shadow:var(--focus);}\n.gk-tool .cta .consent{color:#a6abd6;}\n.gk-tool .cta .consent a{color:#9fd6f2;}\n\n\/* nav *\/\n.gk-tool .back{display:inline-flex;align-items:center;gap:6px;font-size:14px;font-weight:600;margin-bottom:22px;color:var(--ink-3);}\n.gk-tool .back:hover{color:var(--blue);}\n.gk-tool .foot{margin-top:44px;padding-top:20px;border-top:1px solid var(--line);font-size:13px;color:var(--ink-3);}\n\n<\/style>\n<div class=\"gk-tool\">\n<div class=\"head\">\n  <a class=\"back\" href=\"\/narzedzia\/\">\u2190 Narz\u0119dzia Ramana<\/a>\n  <p class=\"eyebrow\">Narz\u0119dzia Ramana<\/p>\n  <h1>G\u0119sto\u015b\u0107 mocy lasera i ryzyko uszkodzenia pr\u00f3bki<\/h1>\n  <p class=\"lead\">Ta sama moc lasera skupiona w mikronowej plamce daje ogromn\u0105 g\u0119sto\u015b\u0107 mocy \u2014 i potrafi przypali\u0107 czu\u0142\u0105 pr\u00f3bk\u0119, zanim zd\u0105\u017cysz zebra\u0107 widmo. Policz g\u0119sto\u015b\u0107 mocy [W\/cm\u00b2] z mocy i \u015brednicy plamki (albo z obiektywu i d\u0142ugo\u015bci fali) i sprawd\u017a, w kt\u00f3rym rejonie ryzyka jeste\u015b.<\/p>\n<\/div>\n\n<div class=\"card\">\n  <h3>Wi\u0105zka na pr\u00f3bce<\/h3>\n  <div class=\"grid cols-2\">\n    <label class=\"field\"><span>Moc na pr\u00f3bce (mW)<\/span><input type=\"number\" id=\"power\" step=\"any\" placeholder=\"np. 10\"><\/label>\n    <label class=\"field\"><span>\u015arednica plamki (\u00b5m) \u2014 je\u015bli znasz<\/span><input type=\"number\" id=\"spot\" step=\"any\" placeholder=\"np. 2\"><\/label>\n  <\/div>\n  <p class=\"muted\" style=\"margin:2px 0 12px\">Nie znasz plamki? Podaj obiektyw i laser \u2014 policzymy z granicy dyfrakcji:<\/p>\n  <div class=\"grid cols-2\">\n    <label class=\"field\"><span>Apertura numeryczna NA<\/span><input type=\"number\" id=\"na\" step=\"any\" placeholder=\"np. 0.5\"><\/label>\n    <label class=\"field\"><span>D\u0142ugo\u015b\u0107 fali lasera (nm)<\/span><input type=\"number\" id=\"lam\" step=\"any\" value=\"785\"><\/label>\n  <\/div>\n  <div class=\"row\" style=\"margin-top:6px\">\n    <button class=\"btn btn-primary\" id=\"calc\" style=\"flex:0 0 auto\">Policz g\u0119sto\u015b\u0107 mocy<\/button>\n    <button class=\"btn btn-ghost\" id=\"demo\" style=\"flex:0 0 auto\">Wstaw przyk\u0142ad<\/button>\n  <\/div>\n<\/div>\n\n<div class=\"card\" id=\"out\" style=\"display:none\">\n  <h3>G\u0119sto\u015b\u0107 mocy<\/h3>\n  <div class=\"result\">\n    <div class=\"big\" id=\"pd\">\u2014<\/div>\n    <div class=\"sub\" id=\"pdsub\">G\u0119sto\u015b\u0107 mocy w plamce (u\u015bredniona po powierzchni).<\/div>\n  <\/div>\n  <div style=\"margin-top:14px\">\n    <div class=\"kv\"><span>U\u017cyta \u015brednica plamki<\/span><span class=\"v\" id=\"usedspot\">\u2014<\/span><\/div>\n    <div class=\"kv\"><span>Powierzchnia plamki<\/span><span class=\"v\" id=\"area\">\u2014<\/span><\/div>\n    <div class=\"kv\"><span>Rejon ryzyka<\/span><span id=\"risk\">\u2014<\/span><\/div>\n  <\/div>\n  <p class=\"muted\" id=\"note\" style=\"margin-top:12px\"><\/p>\n\n  <div class=\"gk-expert\">\n    <div class=\"gk-expert-head\">\n      <p class=\"gk-expert-copy\"><strong>To robi Spectrally.<\/strong> Delikatna pr\u00f3bka, a mimo to chcesz mocne widmo? Dobierzemy moc, plamk\u0119 i tryb pomiaru tak, \u017ceby nie przypali\u0107 materia\u0142u \u2014 porozmawiajmy o Twoim przypadku.<\/p>\n      <button type=\"button\" class=\"btn btn-primary\" data-gk-toggle=\"lf-pow\" aria-expanded=\"false\">Porozmawiajmy o Twoim przypadku<\/button>\n    <\/div>\n    <form class=\"gk-lf gk-slide\" id=\"lf-pow\" data-region=\"Narz\u0119dzia \u2014 g\u0119sto\u015b\u0107 mocy\" data-ok=\"Dzi\u0119ki \u2014 odezwiemy si\u0119 w sprawie Twojej pr\u00f3bki.\" novalidate>\n      <div class=\"gk-lf-grid\">\n        <input type=\"text\" name=\"name_full\" placeholder=\"Imi\u0119 i nazwisko\" autocomplete=\"name\">\n        <input type=\"text\" name=\"company\" placeholder=\"Nazwa firmy\" autocomplete=\"organization\">\n        <input type=\"email\" name=\"email\" placeholder=\"E-mail s\u0142u\u017cbowy\" required autocomplete=\"email\">\n      <\/div>\n      <input type=\"text\" name=\"company_hp\" class=\"hp\" tabindex=\"-1\" autocomplete=\"off\" aria-hidden=\"true\">\n      <label class=\"consent\"><input type=\"checkbox\" name=\"consent\" required>\n        <span>Zgadzam si\u0119 na kontakt e-mail w sprawie mojego zapytania. Dane przetwarza Gekko Photonics \u2014 <a href=\"\/polityka-prywatnosci\/\">polityka prywatno\u015bci<\/a>.<\/span><\/label>\n      <div class=\"row\"><button type=\"submit\" class=\"btn btn-primary\">Popro\u015b o feasibility<\/button><\/div>\n      <div class=\"msg\" role=\"status\" aria-live=\"polite\"><\/div>\n    <\/form>\n  <\/div>\n<\/div>\n\n<details>\n  <summary>Wzory i za\u0142o\u017cenia<\/summary>\n  <div class=\"body\">\n    <p class=\"formula\">plamka (dyfrakcja, \u015brednica Airy'ego): d \u2248 1,22 \u00b7 \u03bb \/ NA<br>powierzchnia: A = \u03c0 \u00b7 (d\/2)\u00b2<br>g\u0119sto\u015b\u0107 mocy: PD = P \/ A<\/p>\n    <p style=\"margin-top:10px\">Model zak\u0142ada plamk\u0119 ograniczon\u0105 dyfrakcj\u0105 i r\u00f3wnomierny rozk\u0142ad mocy po jej powierzchni \u2014 realna wi\u0105zka gaussowska ma w centrum wy\u017csze nat\u0119\u017cenie szczytowe, wi\u0119c traktuj wynik jako warto\u015b\u0107 u\u015brednion\u0105 (doln\u0105). Progi uszkodzenia s\u0105 <strong>silnie zale\u017cne od materia\u0142u<\/strong>: ciemny, absorbuj\u0105cy albo organiczny materia\u0142 uszkodzisz przy g\u0119sto\u015bci, przy kt\u00f3rej twardy minera\u0142 ani drgnie.<\/p>\n    <p class=\"muted\" style=\"margin-top:10px\">Rejony ryzyka poni\u017cej to zgrubna orientacja, nie norma bezpiecze\u0144stwa. Zawsze zaczynaj od ma\u0142ej mocy i podno\u015b j\u0105, obserwuj\u0105c widmo.<\/p>\n  <\/div>\n<\/details>\n\n<script>\n(function(){\n  var $=function(id){return document.getElementById(id);};\n  var g=function(id){var v=parseFloat($(id).value);return isFinite(v)?v:null;};\n  var nf=function(x,d){if(x===null||!isFinite(x))return '\u2014';return Number(x).toLocaleString('pl-PL',{maximumFractionDigits:d===undefined?2:d});};\n  function sci(x){if(!isFinite(x))return '\u2014';return x.toExponential(2).replace('e','\u00b710^').replace('+','');}\n  function run(){\n    var P=g('power'),spot=g('spot'),na=g('na'),lam=g('lam');\n    if(P===null||P<=0){alert('Podaj moc na pr\u00f3bce (mW).');return;}\n    var d=spot;\n    if(d===null||d<=0){\n      if(na===null||na<=0||lam===null||lam<=0){alert('Podaj \u015brednic\u0119 plamki albo (NA i d\u0142ugo\u015b\u0107 fali).');return;}\n      d=1.22*lam\/na\/1000; \/\/ nm -> \u00b5m\n    }\n    var d_cm=d*1e-4, A=Math.PI*Math.pow(d_cm\/2,2), PD=(P\/1000)\/A; \/\/ W\/cm\u00b2\n    $('out').style.display='';\n    $('pd').innerHTML=sci(PD)+'<span class=\"unit\">W\/cm\u00b2<\/span>';\n    $('usedspot').textContent=nf(d,2)+' \u00b5m'+((spot===null)?' 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Dane przetwarza Gekko&nbsp;Photonics \u2014 <a href=\"\/polityka-prywatnosci\/\">polityka&nbsp;prywatno\u015bci<\/a>.<\/span><\/label>\n    <div class=\"row\"><button type=\"submit\" class=\"btn btn-primary\">Popro\u015b o feasibility<\/button><\/div>\n    <div class=\"msg\" role=\"status\" aria-live=\"polite\"><\/div>\n  <\/form>\n<\/section>\n\n<\/div>\n<script>\n\/* Gekko Photonics \u2014 narz\u0119dzia Ramana: wsp\u00f3lna obs\u0142uga lead\u00f3w.\n   Wstrzykiwany RAZ na stron\u0119 przez publish.py. Dzia\u0142a przez delegacj\u0119,\n   wi\u0119c \u0142apie te\u017c formularze dobudowane dynamicznie (odpowiedzi asystenta).\n   - przycisk [data-gk-toggle=\"ID\"] wysuwa\/chowa formularz o danym ID\n   - dowolny <form class=\"gk-lf\"> wysy\u0142a si\u0119 do endpointu RSVP           *\/\n(function(){\n  var EP='\/wp-json\/gekko\/v1\/rsvp';\n\n  \/\/ wysuwane formularze\n  document.addEventListener('click',function(e){\n    var t=e.target.closest('[data-gk-toggle]'); if(!t) return;\n    e.preventDefault();\n    var f=document.getElementById(t.getAttribute('data-gk-toggle')); if(!f) return;\n    var open=f.classList.toggle('open');\n    t.setAttribute('aria-expanded',open?'true':'false');\n    if(open){var i=f.querySelector('input:not([type=hidden]):not(.hp)'); if(i) setTimeout(function(){i.focus();},260);}\n  });\n\n  \/\/ wysy\u0142ka\n  document.addEventListener('submit',function(e){\n    var f=e.target.closest('form.gk-lf'); if(!f) return;\n    e.preventDefault();\n    if(f.company_hp && f.company_hp.value) return;                 \/\/ honeypot\n    var msg=f.querySelector('.msg');\n    var email=((f.email&&f.email.value)||'').trim();\n    var consent=f.consent?f.consent.checked:true;\n    function say(c,txt){ if(msg){msg.style.color=c; msg.textContent=txt;} }\n    if(!email||!consent){ say('#F3C969','Podaj e-mail i zaznacz zgod\u0119.'); return; }\n    var btn=f.querySelector('button[type=submit]')||f.querySelector('button');\n    if(btn) btn.disabled=true;\n    say('#667085','Wysy\u0142am\u2026');\n    var body={\n      email:email, response:'yes', consent:true, company_hp:'',\n      name:((f.name_full&&f.name_full.value)||'').trim(),\n      company:((f.company&&f.company.value)||'').trim(),\n      context:((f.context&&f.context.value)||''),\n      region:'tools',\n      region_label:f.getAttribute('data-region')||'Narz\u0119dzia Ramana',\n      page_url:location.href, page_title:document.title\n    };\n    fetch(EP,{method:'POST',headers:{'Content-Type':'application\/json'},body:JSON.stringify(body)})\n      .then(function(r){return r.json().catch(function(){return {};});})\n      .then(function(){\n        say('#12B76A', f.getAttribute('data-ok')||'Dzi\u0119ki \u2014 odezwiemy si\u0119 do Ciebie.');\n        var keep=f.querySelector('.msg');\n        [].forEach.call(f.querySelectorAll('input:not(.hp), textarea'),function(el){\n          if(el.type==='checkbox'){el.checked=false;} else {el.value='';}\n        });\n      })\n      .catch(function(){ say('#F3C969','Co\u015b posz\u0142o nie tak. Napisz na kontakt@gekkophotonics.com'); })\n      .finally(function(){ if(btn) btn.disabled=false; });\n  });\n})();\n\n<\/script>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":2965,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-2987","page","type-page","status-publish","hentry"],"blocksy_meta":[],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/pages\/2987","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/comments?post=2987"}],"version-history":[{"count":1,"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/pages\/2987\/revisions"}],"predecessor-version":[{"id":3004,"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/pages\/2987\/revisions\/3004"}],"up":[{"embeddable":true,"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/pages\/2965"}],"wp:attachment":[{"href":"https:\/\/gekkophotonics.com\/de\/wp-json\/wp\/v2\/media?parent=2987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}