{"product_id":"analysis-of-planar-optical-waveguides-using-different-techniques-von-hayder-ahmed","title":"Analysis of Planar Optical Waveguides Using Different Techniques","description":"\u003cp\u003eThe propagation characteristics of a step-index and  graded-index optical planar waveguides with  arbitrary refractive index profile have been  analyzed by using different techniques: Transfer  Matrix Method (TMM), Characteristic Matrix Method  (CMM), Modified Transfer Matrix Method (MTMM) and  the effective index method (EIM). These methods has been suggested and applied to a  single mode LiNbO3 surface planar waveguide sample.  Modal analysis of multilayer slab waveguides is  studied and the applications are made for 2-channel  Directional Coupler. We proposed analytical expressions of the  dispersion equations for both TE and TM  polarization modes. This method is a simplified  form of TMM, which is allowed us to distinct modes  by its order. Also, the applications are made, for  comparison propose, to the multi-channel  directional couplers. The results obtained from  MTMM are fit with results obtained by TMM and CMM.  Finally, the effective index method (EIM) was used  together with the three methods TMM, CMM and MTMM  to determine the mode propagation constants and the  field profiles to a number of more complex  structures.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843386456\"\u003e\u003ch3\u003eAnalysis of Planar Optical Waveguides Using Different Techniques for Transfer Matrix Method\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843386456","offer_id":39469987922013,"sku":"9783843386456","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6e736f27-0056-493e-bbd8-4eba84188dc9.jpg?v=1757742473","url":"https:\/\/shop.autorenwelt.de\/products\/analysis-of-planar-optical-waveguides-using-different-techniques-von-hayder-ahmed","provider":"Autorenwelt Shop","version":"1.0","type":"link"}