Dispersion relations and wave propagation in photonic hypercrystals

2018 ◽  
Vol 32 (02) ◽  
pp. 1750320 ◽  
Author(s):  
Munazza Zulfiqar Ali
Keyword(s):  
Wave Vector ◽  
Dielectric Material ◽  
Effective Medium ◽  
Evanescent Waves ◽  
Dispersion Relations ◽  
Matrix Approach ◽  
Periodic Medium ◽  
Hyperbolic Metamaterial ◽  
Propagating Waves ◽  
Transfer Matrix Approach

A photonic hypercrystal is a subwavelength periodic structure consisting of alternate layers of hyperbolic metamaterial and dielectric material. The structure can be treated as an effective medium as well as a periodic medium. Since two length scales are involved, the better treatment is to treat the hyperbolic metamaterial as an effective medium and the overall structure as a periodic medium. The dispersion relations are derived and plotted to show the appearance of propagating bands and gaps in the frequency and wave vector domains. Then using the transfer matrix approach, the transmissivity versus the frequency plot for propagating waves and grayscale plot of the transmission coefficient in the frequency versus wave vector plane for the evanescent waves are plotted and analyzed.

Extended discrete-time transfer matrix approach to modeling and decentralized control of lattice-based structures

2016 ◽  
Vol 23 (10) ◽  
pp. 1256-1272 ◽  
Author(s):  
Nick Cramer ◽  
Sean Shan-Min Swei ◽  
Kenneth C. Cheung ◽  
Mircea Teodorescu
Keyword(s):  
Transfer Matrix ◽  
Decentralized Control ◽  
Discrete Time ◽  
Matrix Approach ◽  
Time Transfer ◽  
Transfer Matrix Approach

scholarly journals Slowly varying amplitude approximation appraised by transfer-matrix approach

1999 ◽  
Vol 60 (15) ◽  
pp. 10644-10647 ◽  
Author(s):  
Zhi-Yuan Li ◽  
Ben-Yuan Gu ◽  
Guo-Zhen Yang
Keyword(s):  
Transfer Matrix ◽  
Matrix Approach ◽  
Transfer Matrix Approach

scholarly journals Deep Subwavelength Power Concentration-Based Hyperbolic Metamaterials

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Amanpreet Kaur ◽  
Saptarshi Banerjee ◽  
Wangshi Zhao ◽  
Jayanti Venkataraman ◽  
Zhaolin Lu
Keyword(s):  
Electromagnetic Waves ◽  
Light Propagation ◽  
Spot Size ◽  
Diffraction Limit ◽  
Evanescent Waves ◽  
Hyperbolic Metamaterials ◽  
Preferred Direction ◽  
Propagating Waves ◽  
Medium Design ◽  
Collimated Beam

Hyperbolic metamaterials can manipulate electromagnetic waves by converting evanescent waves into propagating waves and thus support light propagation without diffraction limit. In this paper, deep subwavelength focusing (or power concentration) is demonstrated both numerically and experimentally using hyperbolic metamaterials. The results verify that hyperbolic metamaterials can focus a broad collimated beam to spot size of ~λ0/6 using wired medium design for both normal and oblique incidence. The nonmagnetic design, no-cut-off operation, and preferred direction of propagation in these materials significantly reduce the attenuation in electromagnetic waves.

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