Jahn-Teller Effect In Photonic Crystals

2003 ◽  
Vol 797 ◽  
Author(s):  
Natalia Malkova ◽  
Venkatraman Gopalan
Keyword(s):  
Photonic Crystals ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Lattice Vibration ◽  
Teller Effect ◽  
Stable Configuration ◽  
Photon State ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
Difference Time

ABSTRACTThe Jahn-Teller effect in photonic crystals as a prototype of photon-phonon interactions is studied. We are interested in removing the degeneracy of a defect state due to coupling with vibronic mode. Two-dimensional square photonic lattice of the dielectric rods in vacuum doped by the defect rod, giving the doubly degenerate E state in the first TM band gap is studied. We show that coming from the Jahn-Teller theorem, the lattice vibration with the symmetry of B1 and B2 modes should result in splitting the degeneracy of the E photon state, the lattice vibration being frozen. The stable configuration in the presence of the Jahn-Teller effect is determined from the dependence of the energy as a function of the rod displacement. Using the value of the vibronic constants, obtained from the suppercell plane wave calculations and the Finite Difference Time Domain simulations, we find the stable configuration of the lattice. We discuss the conditions to observe the effect.

Research on the transmission coefficient of plasma photonic crystals based on the ICCG–SFDTD method

2015 ◽  
Vol 29 (12) ◽  
pp. 1550052 ◽  
Author(s):  
Ying-Jie Gao ◽  
Hong-Wei Yang ◽  
Rui Weng ◽  
Qing-Xia Niu ◽  
Yu-Jie Liu ◽  
...  
Keyword(s):  
Finite Difference ◽  
Photonic Crystals ◽  
Transmission Coefficient ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Sparse Matrix ◽  
Fdtd Method ◽  
Computational Time ◽  
Plasma Photonic Crystals ◽  
Difference Time

Compared with the traditional finite-difference time-domain (FDTD) method, the symplectic finite-difference time-domain (SFDTD) method has the characteristics of high precision and low dispersion. However, because the higher-order difference is necessary for the calculation, a large sparse matrix is generated. It causes that the computational time is relatively long and the memory is more. To solve this problem, the incomplete Cholesky conjugate gradient (ICCG) method for solving the large sparse matrix needs to be taken into the SFDTD differential equations. The ICCG method can accelerate the iterations of the numerical calculation and reduce the memory with fast and stable convergence speed. The new ICCG–SFDTD method, which has both the advantages of the ICCG method and SFDTD method, is proposed. In this paper, the ICCG–SFDTD method is used for research on the characteristic parameters of the plasma photonic crystals (PPCs) under different conditions, such as the reflection electric field and the transmission coefficient, to verify the feasibility and accuracy of this method. The results prove that the ICCG–SFDTD method is accurate and has some advantages.

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