Calculation of two-dimension photonic band structure by use of a quantization methodology

Mucui Ni; Jiayi Liu; Yafu Chen

doi:10.1117/12.666991

28 January 2006 Calculation of two-dimension photonic band structure by use of a quantization methodology

Mucui Ni, Jiayi Liu, Yafu Chen

Proceedings Volume 6025, ICO20: Optical Communication; 60250B (2006) https://doi.org/10.1117/12.666991
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

This paper brings forward a new point of view that the quantum effect is a common phenomenon, which emerges not only in atoms but also in any system as long as the size of the system is comparable with the length of incident wave. Analogous to the case of electrons in atoms, light propagating in periodic medium is described as a kind of 'probability wave', modulated by the periodic potential field of refractive index, and an fundamental equation similar to the Schrodinger equation is derived based on the theory of quantum-mechanics. By solving the equation, the band structure of photonic crystal can be understood as a result of quantum effect of the probability wave propagating in the periodic dielectric structure. As an example, two-dimension photonic band structure is discussed.

Citation Download Citation

Mucui Ni, Jiayi Liu, and Yafu Chen "Calculation of two-dimension photonic band structure by use of a quantization methodology", Proc. SPIE 6025, ICO20: Optical Communication, 60250B (28 January 2006); https://doi.org/10.1117/12.666991

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