基于復(fù)合缺陷光子晶體的濾波器設(shè)計(jì)與數(shù)值研究
Design and numerical studies on composite defect photonic crystal based optical filter

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摘要: 光子晶體即光子禁帶材料，從材料結(jié)構(gòu)上看，光子晶體是一類在光學(xué)度上具有周期性介電結(jié)構(gòu)的人工設(shè)計(jì)和制造的晶體。與半導(dǎo)體晶格對電子波函數(shù)的調(diào)制相類似，光子帶隙材料能夠調(diào)制具有相應(yīng)波長的電磁波---當(dāng)電磁波在光子帶隙材料中傳播時(shí)，由于存在布拉格散射而受到調(diào)制，電磁波能量形成能帶結(jié)構(gòu)。能帶與能帶之間出現(xiàn)帶隙，即光子帶隙。所具能量處在光子帶隙內(nèi)的光子，不能進(jìn)入該晶體。光子晶體和半導(dǎo)體在基本模型和研究思路上有許多相似之處，原則上人們可以通過設(shè)計(jì)和制造光子晶體及其器件，達(dá)到控制光子運(yùn)動(dòng)的目的。光子晶體(又稱光子禁帶材料)的出現(xiàn)，使人們操縱和控制光子的夢想成為可能。
本文將通過第三章的理論基礎(chǔ)，采用R-soft軟件進(jìn)行仿真模擬，模擬光子晶體環(huán)形腔濾波器的結(jié)構(gòu)。并通過引入一組點(diǎn)缺陷實(shí)現(xiàn)了單縱模濾波特性。在此基礎(chǔ)上，我們通過分別改變整體介質(zhì)柱折射率，改變點(diǎn)缺陷折射率，改變點(diǎn)缺陷半徑，同時(shí)對濾波光譜圖進(jìn)行了分析。結(jié)果表明選擇不同的參數(shù)可以實(shí)現(xiàn)濾波特性的可調(diào)性，這將對今后在集成光子晶體器件中設(shè)計(jì)多通道光濾波器提供重要的理論參考。

關(guān)鍵詞:光子晶體 濾波器 點(diǎn)缺陷 環(huán)形腔


Design and numerical studies based on composite defect photonic crystal optical filter
Abstrac Photonic crystals is photonic band gap materials，Judging from the material structure, Photonic crystal is design and manufacture of artificial crystal witch is form by periodic dielectric structure material . It is similar to semiconductor lattice modulation of electron wave function, photonic bandgap material can be modulated electromagnetic waves with corresponding wavelengths --- When the electromagnetic wave propagation in photonic bandgap materials, due to the presence of Bragg scattering is modulated electromagnetic energy can be formed band structure. Appears bandgap energy between the band and the band that photonic band gap. The energy in a photon inside the photonic bandgap, can not enter the crystal. Photonic crystals and semiconductors in the basic model and research ideas have many similarities, in principle, people can design and manufacture of photonic crystals and devices, to control the movement of photons purpose. Appears photonic crystal (also known as photonic band gap materials), so that people manipulate and control the photonic dream become possible.
In this paper the theoretical basis of Chapter III, We using R-soft simulation, Structure simulation of photonic crystal ring resonator filter. And by introducing a set of point defects to achieve a single longitudinal mode filter characteristics. On this basis, We are changing the refractive index of the overall media column, Changes the refractive index of the point defects, Change the radius of point defects, and do the analysis of filter spectra. The results showed that different parameters can be achieved the adjustable of filter characteristics, This will provides an important theoretical reference to design of multi-channel optical filter in the future.

Key words photonic crystal filter point defect ring cavity


目錄
緒 論 1
第一章 光子晶體及負(fù)折射率材料的概念、內(nèi)涵 2
1.1 光子晶體 2
1.1.1光子晶體禁帶 2
1.1.2光子晶體分類 3
1.1.3光子晶體特性 3
1.2 光子晶體的制備 4
1.3 光子晶體的應(yīng)用 4
1.3.1微波天線 5
1.3.2光子晶體光纖 5
1.3.3光子晶體全光開關(guān) 5
1.3.4光子晶體超棱鏡 6
1.3.5光交換機(jī) 6
1.4 點(diǎn)缺陷和線缺陷 6
1.4.1點(diǎn)缺陷 6
1.4.2線缺陷 7
1.5 論文的主要工作 8
第二章 光子晶體以及光子晶體濾波器進(jìn)展 9
2.1 引言 9
2.2 光子晶體研究狀況 9
2.3 光子晶體濾波器研究現(xiàn)狀 11
2.4 含復(fù)合缺陷的光子晶體濾波器研究現(xiàn)狀 11
2.5 本章小結(jié) 12
第三章 光子晶體理論分析及算法理論方程 13
3.1 引言 13
3.2 光子晶體的傳輸矩陣 13
3.2.1光子帶隙基礎(chǔ) 14

3.2.2光子晶體的電磁波理論 15
3.3 光子晶體的傳輸矩陣 17
3.3.1平面波展開法 17
3.3.2時(shí)域有限差分法 20
3.4 本章小結(jié) 25
第四章 基于復(fù)合缺陷光子晶體的濾波器設(shè)計(jì)與數(shù)值研究 26
4.1 引言 26
4.2 濾波器結(jié)構(gòu)設(shè)計(jì) 26
4.3 數(shù)值模擬和分析 28
4.3.1改變整體介質(zhì)柱折射率對濾波的影響 28
4.3.2點(diǎn)缺陷折射率變化對濾波特性的影響 30
4.3.3點(diǎn)缺陷介質(zhì)柱半徑變化對濾波特性的影響 30
4.4 本章小結(jié) 31
結(jié) 論 32
致 謝 33
參考文獻(xiàn) 34