Si-Qi Zhang

The effect of defect layer on transmissivity and light field distribution in general function photonic crystals

We have theoretically investigated a general function photonic crystals (GFPCs) with defect layer, and choose the line refractive index function for two mediums A and B, and analyze the effect of defect layers position, refractive indexes, period numbers and optical thickness on the transmission intensity and the electric field distribution. We obtain some new characters that are different from the conventional PCs, which should be helpful in the design of photonic crystals.

Light field distribution of general function photonic crystals

Abstract In this paper, We have presented a new general function photonic crystals (GFPCs), which refractive indexes are line functions of space position in two mediums A and B , and obtain new results. (1) When the line function of refractive indexes is up or down, the transmissivity can be far larger or smaller than 1. (2) When the refractive indexes function increase or decrease along the direction of incident light, the light intensity should be magnified or weaken, which can be made optical magnifier or attenuator. (3) The GFPCs can be made optical diode when the light positive and negative incident the GFPCs.

Transmission character of general function photonic crystals

Abstract In the paper, we present a new general function photonic crystals (GFPCs), whose refractive index of medium is a arbitrary function of space position. Unlike conventional photonic crystals (PCs), whose structure grows from two mediums A and B , with different constant refractive indexes n a and n b . Based on the Fermat principle, we give the motion equations of light in one-dimensional GFPCs, and calculate its transfer matrix, which is different from the conventional PCs. We choose the linearity refractive index function for two mediums A and B , and find the transmissivity of one-dimensional GFPCs can be much larger or smaller than 1 for different slope linearity refractive index functions, which are different from the transmissivity of conventional PCs (its transmissivity is in the range of 0 and 1). Otherwise, we study the effect of different incident angles, the number of periods and optical thickness on the transmissivity, and obtain some new results different from the conventional PCs.

Two-dimensional function photonic crystals

In this paper, we have firstly proposed two-dimensional function photonic crystals, which the dielectric constants of medium columns are the functions of space coordinates

Quantum theory of photonic crystals

\vec{r}

A new wave theory of photonic crystals

, it is different from the two-dimensional conventional photonic crystals constituting by the medium columns of dielectric constants are constants. We find the band gaps of two-dimensional function photonic crystals are different from the two-dimensional conventional photonic crystals, and when the functions form of dielectric constants are different, the band gaps structure should be changed, which can be designed into the appropriate band gaps structures by the two-dimensional function photonic crystals.

Two-Photon Spin States and Entanglement States

In this paper, we have firstly presented a new quantum theory to study one-dimensional photonic crystals. We give the quantum transform matrix, quantum dispersion relation and quantum transmissivity, and compare them with the classical dispersion relation and classical transmissivity. By the calculation, we find the classical and quantum dispersion relation and transmissivity are identical. The new approach can be studied two-dimensional and three-dimensional photonic crystals

Non-relativistic Quantum Theory at Finite Temperature

In this paper, we have presented a wave theory method to study 1D photonic crystals (PCs), and give the new transfer matrix, dispersion relation, and transmissivity. We have calculated the dispersion relation and transmissivity with the new wave theory and the transfer matrix method, and find the dispersion relation and transmissivity are identical for the two kinds of methods. The new wave method can be also used to study 2D and 3D PCs.

Quantum Theory of Two-Photon Ghost Interference

In this paper, we have given the spin states of two-photon, which are expressed by the quadratic combination of two single-photon spin states, and given all entanglement states of two-photon from the spin states of two-photon. The new expression of two-photon entanglement states should be used in quantum computation and quantum communication.

Dirac Equation at Finite Temperature

We propose the non-relativistic finite temperature quantum wave equations for a single particle and multiple particles. We give the relation between energy eigenvalues, eigenfunctions, transition frequency and temperature, and obtain some results: (1) when the degeneracies of two energy levels are same, the transition frequency between the two energy levels is unchanged when the temperature is changed. (2) When the degeneracies of two energy levels are different, the variance of transition frequency at two energy levels is direct proportion to temperature difference.