Computation of Photonic Bandgap in 1D Photonic Crystal using Dispersion Relation

Author(s):  
Urmi Dey ◽  
Sangita Das ◽  
Soumita De ◽  
Arpan Deyasi
2020 ◽  
Vol 12 (3) ◽  
pp. 201-208
Author(s):  
Arpan Deyasi ◽  
Urmi Dey ◽  
Sangita Das ◽  
Soumita De ◽  
Angsuman Sarkar

: Calculation of dispersion profile and photonic bandgap for negative refractive index based onedimensional photonic crystal structure. Objective: Determine mathematically the variation of first and second photonic bandgaps under angular incidence variation for the metamaterial-based 1D PhC structure for both TE and TM mode of propagations. Methods: Two lowermost photonic bandgap widths of metamaterial-based one-dimensional photonic crystal are analytically computed from the dispersion relation under the propagation of transverse electromagnetic wave along the direction of confinement. Three practically realizable double negative index materials are considered for computation of bandgaps, where air-gaps are considered along with the artificially made materials as the composite grating structure. This is a combination of negative positive indices materials, where incident angles are tailored within practical limit to calculate the variation of bandgaps, which may be quasi or complete depending on the material composition and angle of incidence. Results: Results are compared with that obtained for TE mode propagation, and are highly important for design of the all-optical filter with DNG materials.


2020 ◽  
pp. 2000317
Author(s):  
Weiqiang Xie ◽  
Peter Verheyen ◽  
Marianna Pantouvaki ◽  
Joris Van Campenhout ◽  
Dries Van Thourhout

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