【摘要】：左手介質(zhì)與常規(guī)介質(zhì)不同,它為物理學(xué)發(fā)展開(kāi)創(chuàng)了一片新的領(lǐng)域。當(dāng)電磁波通過(guò)左手介質(zhì)時(shí),會(huì)出現(xiàn)很多奇異的現(xiàn)象,如負(fù)折射效應(yīng)、逆Doppler效應(yīng)等。近年來(lái),左手介質(zhì)在光學(xué)、材料科學(xué)、電磁學(xué)等領(lǐng)域引起了諸多關(guān)注。因此,研究光束通過(guò)左手材料(LHM)的傳輸特性具有重要意義。本學(xué)位論文主要對(duì)復(fù)宗量雙曲余弦平方-高斯光束(EchSGB)和雙曲正弦平方-高斯光束(ShSGB)通過(guò)平板LHM的傳輸特性進(jìn)行研究�；趶V義惠更斯-菲涅爾衍射積分推導(dǎo)出EchSGB和ShSGB在自由空間、平板LHM內(nèi)部和通過(guò)平板LHM后的三維光強(qiáng)傳輸公式,采用二階矩定義推導(dǎo)了EchSGB和ShSGB的光斑尺寸、束腰寬度、束腰位置、2M因子的解析表達(dá)式,并對(duì)其進(jìn)行數(shù)值計(jì)算和分析。研究表明:1.EchSGB的束腰寬度只受與復(fù)宗量雙曲余弦平方因子相關(guān)的參數(shù)a、b影響,光斑尺寸、束腰位置以及2M因子還會(huì)受到LHM負(fù)折射率Ln的影響,材料的負(fù)折射率改變光束分布的位置,參數(shù)a、b改變光束的形狀和大小。當(dāng)計(jì)算取特殊值時(shí),LHM能使EchSGB重現(xiàn)。因此,實(shí)際運(yùn)用中,可以選取較小參數(shù)值的EchSGB通過(guò)較大負(fù)折射率的LHM,獲取質(zhì)量更好的光束,同時(shí)還可通過(guò)改變光束參數(shù)a、b以及LHM負(fù)折射率Ln的大小在不同位置對(duì)該光束整形。2.LHM對(duì)ShSGB軸上光強(qiáng)和橫向光強(qiáng)分布規(guī)律的影響是使光強(qiáng)呈對(duì)稱(chēng)分布;材料的負(fù)折射率會(huì)影響光束軸上光強(qiáng)極大值的位置,軸上光強(qiáng)和橫向光強(qiáng)的分布均隨傳輸距離和參數(shù)?的變化而變化,?是與雙曲正弦平方因子相關(guān)的參數(shù);束腰寬度只與參數(shù)?有關(guān),軸上光強(qiáng)、橫向光強(qiáng)、光斑尺寸、束腰位置、2M因子還會(huì)受LHM影響;較小的參數(shù)?值和較大的負(fù)折射率絕對(duì)值都使得2M因子的值變小,即光束質(zhì)量更好。此外,還可通過(guò)改變光束參數(shù)?以及LHM負(fù)折射率Ln的大小在不同位置對(duì)ShSGB整形。
[Abstract]:The left-handed medium is different from the conventional medium, it opens a new field for the development of physics. When the electromagnetic wave passes through the left-handed medium, there are many strange phenomena, such as negative refraction effect, inverse Doppler effect and so on. In recent years, left-handed medium has attracted much attention in optics, material science, electromagnetism and other fields. Therefore, it is of great significance to study the propagation characteristics of the beam through the left-handed material (LHM). In this dissertation, the propagation characteristics of the hyperbolic cosine squared Gao Si beam (EchSGB) and the hyperbolic sinusoidal square-Gao Si beam (ShSGB) through the plate LHM are studied. Based on the generalized Huygens-Fresnel diffraction integral, the three dimensional light intensity propagation formulas of EchSGB and ShSGB are derived in free space, inside the plate LHM and after passing through the plate LHM. The size of the spot and the width of the beam waist of EchSGB and ShSGB are derived by the second moment definition. The analytical expression of the waist position and the 2 M factor is calculated and analyzed numerically. The results show that the beam waist width of 1.EchSGB is only affected by the parameter ab related to the complex hyperbolic cosine squared factor, and the spot size, beam waist position and 2m factor are also affected by the negative refractive index Ln of LHM. The negative refractive index of the material changes the position of the beam distribution and the parameter ab changes the shape and size of the beam. When a special value is calculated, LHM can reproduce the EchSGB. Therefore, in practical application, the EchSGB with smaller parameter values can be selected to obtain better beam quality through LHM, with larger negative refractive index, and the beam parameter a can be changed at the same time. B and the magnitude of LHM negative refractive index Ln at different positions to shape the beam. The influence of 2.LHM on the distribution of light intensity and transverse intensity on the ShSGB axis is that the light intensity is symmetrically distributed. The negative refractive index of the material will affect the position of the maximum of the light intensity on the beam axis, and the distribution of the intensity of light on the axis and the distribution of the transverse intensity are both with the propagation distance and the parameters. Change and change,? Is a parameter related to the squared factor of the hyperbolic sinusoidal; the waist width of the beam is related only to the parameter? The light intensity on axis, transverse light intensity, spot size, waist position and 2m factor will also be affected by LHM. Both the value of negative refractive index and the absolute value of negative refractive index make the value of 2m factor smaller, that is, the beam quality is better. In addition, by changing beam parameters? And the size of LHM negative refractive index Ln in different positions for ShSGB shaping.
【學(xué)位授予單位】：四川師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O436

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