{"id":356172,"date":"2024-03-08T22:48:28","date_gmt":"2024-03-08T22:48:28","guid":{"rendered":"\/forum\/forums\/reply\/356172\/"},"modified":"2024-03-08T22:49:37","modified_gmt":"2024-03-08T22:49:37","slug":"356172","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/356172\/","title":{"rendered":"Reply To: Lumerical Interconnect Optical Fiber Model"},"content":{"rendered":"<p>&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;Let me make my point more clear, first regarding Beta_2, its equation is:&nbsp;&lt;br&gt;<img decoding=\"async\" src=\"\/forum\/wp-content\/uploads\/sites\/2\/2024\/03\/08-03-2024-1709936835-mceclip0.png\" \/>&lt;br&gt;&lt;br&gt;The unit of Beta(w) is (1\/m) where m is (meter) and units of omega is (1\/s) where s is seconds, so the units of Beta_2 from the previous equation is (s^2\/m)&nbsp;&lt;br&gt;&lt;br&gt;The defintion of Delta_Beta as you said is inverse of difference of group velocities :&nbsp;&lt;br&gt;<img decoding=\"async\" src=\"\/forum\/wp-content\/uploads\/sites\/2\/2024\/03\/08-03-2024-1709936976-mceclip1.png\" \/>&lt;br&gt;&lt;br&gt;Which makes its&nbsp; unit (s\/m)&lt;br&gt;&lt;br&gt;So you can&rsquo;t add Beta_2 (s^2\/m)&nbsp; with delta_beta (s\/m).&nbsp;&lt;br&gt;&lt;br&gt;I have checked the first reference &ldquo;Nonlinear Fiber Optics, 4&lt;sup&gt;th&lt;\/sup&gt; ed.&rdquo;&nbsp; and could not find this equation, actually the equation I found supports my argument and here it is:&nbsp;&lt;br&gt;<img decoding=\"async\" src=\"\/forum\/wp-content\/uploads\/sites\/2\/2024\/03\/08-03-2024-1709937791-mceclip2.png\" \/>&lt;br&gt;&lt;br&gt;In the formulation provided in Lumerical, the term Beta_1 (which accounts for the simple fiber delay) is omitted to reduced simulation time, while Delta_Beta is embedded inside Beta1_x &amp; Beta1_y and it is not related to Beta_2.&nbsp;&lt;br&gt;&lt;br&gt;I have also checked the second reference and it does not address the polarization dispersion in its formulation, so kindly tell me where is this equation in the paper?&nbsp;&nbsp;&lt;br&gt;&lt;br&gt;Maybe the simulation uses different equation than the one described in the model link.&nbsp;&lt;br&gt;&lt;br&gt;I have other question posted somehow related to polarization mode dispersion model in : &nbsp;\/forum\/forums\/topic\/lumerical-interconnect-fiber-pmd-effects\/&nbsp;&lt;br&gt;kindly have a look and answer it.&nbsp;&lt;br&gt;&lt;br&gt;Thanks&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-356172","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=\"Let me make my point more clear, first regarding Beta_2, its equation is: The unit of Beta(w) is (1\/m) where m is (meter) and units of omega is (1\/s) where s is seconds, so the units of Beta_2 from the previous equation is (s^2\/m) The defintion of 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