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论证了在赝带隙光子晶体中存在一个全频率域态总数守恒规则 ,在完全带隙光子晶体中还存在一个局域态总数守恒规则 .态总数守恒规则指出 ,如果一个光子晶体的态密度在某些频率范围存在相对于等效介质态密度的谷 ,则一定由其他频率范围内相对于等效介质态密度的峰来补偿 .使用符合态总数守恒规则的态密度模型 ,解释了态密度调制导致的自发辐射谱增强、抑制、变窄、红移、蓝移以及谱分裂等光子晶体中的量子光学现象 .该理论比较适合研究在具有赝带隙的光子晶体中大量随机分布的发光原子或分子的自发辐射行为 .
It is shown that there exists a rule of conservation of the total number of all frequency domain states in the pseudo-bandgap photonic crystal and there exists a rule of conservation of the total number of local states in the complete bandgap photonic crystal. The rule of total state conservation states that if the density of states of a photonic crystal is Certain valleys exist for valleys relative to the equivalent medium density, and must be compensated for by the peaks in the other frequency ranges relative to the equivalent medium density.Using a density of states model consistent with the conservation of the total number of states, a state density modulation Leading to the increase of spontaneous emission spectrum, suppression, narrowing, redshift, blue shift and spectral splitting photonic crystal quantum optical phenomenon.This theory is more suitable for the study of photonic crystals with pseudo bandgap in a large number of random distribution of photons of light-emitting atoms or Spontaneous radiation behavior of molecules.