Bo-Jun 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.

Non-relativistic Quantum Theory 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.

Quantum Theory of Two-Photon Ghost Interference

In this paper, we study two-photon ghost interference with the approach of photon quantum theory, and calculate the coincidence counts of D1 and D1 detectors. With specific attention to the two-photon interference experiment carried out by Milena D’Angelo et al. (Phys. Rev. Lett. 87:013602, 2001), and find the theoretical result is accordance with experiment data.

A study on quantum mechanical approach for C60 diffraction analysis

Diffraction phenomena of large molecules had been demonstrated in many experiments, and these experiments were explained by many theoretical works. In this paper, we presented a detailed theoretical treatment of the single and double-slit diffraction of C60 with quantum theory approach, and we paid close attention to the diffraction experiment of C60 carried out by Zeilinger et al. in 1999. In double-slit diffraction, we further considered the decoherence effect, and found the theoretical results were in good accordance with experimental data.

SCHRÖDINGER EQUATION OF GENERAL POTENTIAL

A generalization of quantum mechanics is proposed, where the Lagrangian is the general form. The new quantum wave equation can describe the particle which is in general potential , and the Schrodinger equation is only suited for the particle in common potential V(r, t). We think these new quantum wave equations can be used in some fields.