{"id":395312,"date":"2024-11-26T10:21:50","date_gmt":"2024-11-26T10:21:50","guid":{"rendered":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/395312\/"},"modified":"2024-11-26T10:21:50","modified_gmt":"2024-11-26T10:21:50","slug":"395312","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/395312\/","title":{"rendered":"Reply To: How Lumerical calculates the magnitude of P in the DFT monitor"},"content":{"rendered":"<p>&lt;p class=&#8221;MsoNormal&#8221;&gt;Hello and thank you for contacting us,&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Lumerical does indeed calculate P as E x H* as mentioned in <a href=\"https:\/\/optics.ansys.com\/hc\/en-us\/articles\/1500007397442-Integrating-the-Poynting-Vector\">Integrating the Poynting Vector &ndash; Ansys Optics<\/a>.&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;I used the following script to get P directly from a 2D monitor (named it P_lumerical), to calculate P from E and H fields from the monitor (named it P_calculated) and to calculate the magnitude as sqrt(Px^2+Py^2+Pz^2) (named it P_magnitude) and finally to visualize all three of them.&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;####################################################&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;mname=&#8221;monitor&#8221;;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;E=getresult(mname,&#8221;E&#8221;);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;x=E.x;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;y=E.y;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;z=E.z;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;f=E.f;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;E=E.E;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;H=getresult(mname,&#8221;H&#8221;);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;H=H.H;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P=getresult(mname,&#8221;P&#8221;);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P=P.P;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Px=pinch(P,5,1);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Py=pinch(P,5,2);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Pz=pinch(P,5,3);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_test=cross(E,conj(H));&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Px_test=pinch(P_test,5,1);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Py_test=pinch(P_test,5,2);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Pz_test=pinch(P_test,5,3);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_abs=sqrt(Px_test^2+Py_test^2+Pz_test^2);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_lumerical = rectilineardataset(&#8220;P_lumerical&#8221;,x,y,z);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_lumerical.addparameter(&#8220;lambda&#8221;,c\/f,&#8221;f&#8221;,f);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_lumerical.addattribute(&#8220;P_lum&#8221;,Px,Py,Pz);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_calculated = rectilineardataset(&#8220;P_calculated&#8221;,x,y,z);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_calculated.addparameter(&#8220;lambda&#8221;,c\/f,&#8221;f&#8221;,f);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_calculated.addattribute(&#8220;P_calc&#8221;,Px_test,Py_test,Pz_test);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_magnitude = rectilineardataset(&#8220;P_magnitude&#8221;,x,y,z);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_magnitude.addparameter(&#8220;lambda&#8221;,c\/f,&#8221;f&#8221;,f);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;P_magnitude.addattribute(&#8220;P_mag&#8221;,P_abs);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;visualize(P_lumerical);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;visualize(P_calculated);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;visualize(P_magnitude);&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;####################################################&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;In my example the results where the same.&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Below the magnitude of P_lumerical and P_calculated is plotted:&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&lt;span style=&#8221;mso-no-proof: yes;&#8221;&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/11\/26-11-2024-1732616386-mceclip0.png\" \/>&lt;br&gt;&lt;!&#8211;[endif]&#8211;&gt;&lt;\/span&gt;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;The x component (by choosing X in &ldquo;Vector operation&rdquo;) of P_lumerical and P_calculated:&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&lt;span style=&#8221;mso-no-proof: yes;&#8221;&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/11\/26-11-2024-1732616397-mceclip1.png\" \/>&lt;br&gt;&lt;!&#8211;[endif]&#8211;&gt;&lt;\/span&gt;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;I also get the same results for y and z components.&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;The magnitudes of P_lumerical and P_magnitude also match:&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&lt;span style=&#8221;mso-no-proof: yes;&#8221;&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/11\/26-11-2024-1732616406-mceclip2.png\" \/>&lt;br&gt;&lt;!&#8211;[endif]&#8211;&gt;&lt;\/span&gt;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Could you please tell me if the script gives you the correct results (the monitor name in the first line needs to be updated)?&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;I remain at your disposal for any further information.&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;&nbsp;&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Best regards,&lt;\/p&gt;&lt;p class=&#8221;MsoNormal&#8221;&gt;Afroditi&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-395312","reply","type-reply","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Hello and thank you for contacting us, Lumerical does indeed calculate P as E x H* as mentioned in Integrating the Poynting Vector \u2013 Ansys Optics.I used the following script to get P directly from a 2D monitor (named it P_lumerical), to calculate P from E and H fields from the monitor\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/395312\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Ansys Learning Forum | Ansys 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