非諧振子 的英文怎麼說
中文拼音 [fēixiézhènzi]
非諧振子
英文
anharmonic oscillator- 非 : Ⅰ名詞1 (錯誤) mistake; wrong; errors 2 (指非洲) short for africa 3 (姓氏) a surname Ⅱ動詞1 ...
- 諧 : Ⅰ形容詞1 (和諧) in harmony; in accord; in tune 2 (詼諧) humorous Ⅱ動詞(商量好; 辦妥) come t...
- 振 : 動詞1. (搖動; 揮動) shake; flap; wield 2. (奮起) brace up; rise with force and spirit
- 子 : 子Ⅰ名詞1 (兒子) son 2 (人的通稱) person 3 (古代特指有學問的男人) ancient title of respect f...
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The models of anharmonic oscillator of nonlinear optical susceptibilities
非線性光學極化率的非簡諧振子模型Treating the anharmonic terms of potential energy as perturbations, and employing the formulas for atomic displacements and hamiltonian in phonon occupation number representation, the formulas for thermal expansion coefficients of crystal nano - wires are derived and the numerical calculations are carried out in this paper
摘要將原子間相互作用勢的非諧項作為微擾,運用聲子數表象中的晶格原子振動位移和晶格振動哈密頓公式,推導了納米晶體線的熱膨脹系數公式,並進行了數值計算。Abstract : considering the second nearest - neighbor interaction and cubic, quartic anharmonic interactions simultaneously, we employ the multiple scales method combined with a quasidiscreteness approximation to calculate the lattice vibration. it is shown that the kind of nonlinear chain exhibits envelope soliton, envelope kink and envelope antikink soliton. these results can also be used to explain the experimental phenomena that the kink amplitude of the self - localized structure is determined only by the intrinsic properties of its lattices
文摘:同時考慮次近鄰諧振相互作用和三次方、四次方非諧相互作用,利用多重尺度結合準離散近似方法去計算晶格振動行為,發現一維非線性點陣中存在包絡孤子及正扭結型包絡孤子、反扭結型包絡孤子,解釋了自局域結構的幅度只取決于點陣中的固有參數的實驗現象Compared with traditional mechanical and optic gyros, hrg has such advantages as no high speed circumvolving or moving parts in structure, no warm - up time and short start - up time, wide signal band in frequency, low excursion noises, great endurance in over loading, nuclear radiation and short time power off, small bulk, light weight, low power cost and long life, which is suitable for space applications
與傳統的機械陀螺和光學陀螺相比,半球諧振陀螺具有如下優勢:結構上無高速轉子、無活動部件;不需預熱,啟動時間短;信號頻帶寬,漂移噪聲低;能承受大的機動過載;抗核輻射,並可經受短時間電源中斷的影響;體積小,重量輕,功耗低,壽命長,非常適合空間應用。Spontaneous emission can be totally suppressed or strongly enhanced depending on the relative position of the resonant frequency from the edge of the photonic band gap and the photonic mode density. several novel phenomena can be obtained. the spontaneous emission displays an oscillatory behavior, classical light localization, photon - atom bound state, nonzero steady - state population and anomalously large vacuum rabi splitting. and localized mode associated with a defect site in an otherwise perfect photonic crystals, acts as a high - q micro - cavity
通過原子上能級與光子頻率帶隙邊緣的相對位置或者光子態密度,可以抑制或增強原子的自發輻射。分析並得到了一些奇異的現象,如自發輻射的諧振子行為、光的局域、單光子?原子局域態、上能級中存在非零穩態原子布居數、類似於真空中的拉比頻率分裂等。Coordinate transformation, matrix, vectors, newton ' s law, conservation theorems, simple harmonic oscillator, non - linear oscillations, gravitation, euler ' s equation when auxiliany condition are imposed, the delta notation, lagrangian and hamilitonian dynamics, central - force motion, dynamics of a system o f particles, motion of noninertial reference frame, dynamics of rigid body, coupled oscillations, orthogonality of the eigenvectors, continuous system
座標變換、矩陣、向量、牛頓定律、守恆定律、簡諧振動、非線性振動、引力、尤拉式方程式及附加條件、符號、拉格蘭及漢米爾頓力學、中心運動、多粒子系統動力學、非慣性參考座標運動、剛體動力學、耦會振動、本微向量正交性、連續系統。Then some cavity quantum electro - dynamic ( cqed ) effects are studied by experiment. the photoluminescence ( pl ) intensity enhancement at resonance wavelength and suppression at off - resonance wavelength, emission spectrum narrowing as well as emission intensity redistribution in space are observed in the microcavity device fabricated with distributed bragg reflector ( dbr ) and silver mirror as well as that done with two silver mirrors
分別在帶有dbr結構的平面微腔及全金屬鏡構成的平面微腔中觀察到了諧振模式處的輻射增強及非諧振模式處的輻射抑制,發射譜線窄化以及輻射強度空間分佈重組等腔量子電動力學現象。Statistical phase properties of generalized coherent states of the non - harmonic oscilator
非簡諧振子廣義相干態的位相統計性質Quark medium is regarded as non - harmonic oscillator model, discussing its response to su ( 2 ) non - abelia field, the perturlation expansion method is used to find the first, second and third order approximate solutions to the response equation, and some nonlinear features of the response are preliminarily displayed
將夸克介質視為非簡諧振子模型,討論了它對su ( 2 )非阿貝爾場的響應,採用微擾迭代法解出了方程的一、二、三級近似解,初步得出了這種響應的一些非線性特徵In chapter 4, the bifurcation of the complex nonlinear oscillator of van der pol - duffing - mathieu ' s is studied and the common bifurcation property of the oscillator in the situations of nonresonance, principal resonance, ultraharmonic resonance and non - subharmonic resonance is revealed. the bifurcation of strongly nonlinear oscillator is also explored in this chapter
第四章對非線性振動中最常見的vanderpol - duffing - mathieu復合非線性振子的分岔性質進行了系統的研究,發現了該復合系統在非共振、主共振、超諧共振和非1 2階次諧共振情況下具有相同的分岔特性。First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained
全文共分為四章:第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展,以及其實驗研究的過程,然後著重介紹了弱相互作用的玻色氣體的一些性質,並推導出了凝聚體宏觀波函數滿足非線性的gp方程,還以球對稱的諧振子勢為例,用標準的微擾方法求出了定態的gp方程近似解,發現其與已知的數值結果符合得很好。In this paper, the exact expressions of the evolution operator and wave function for a driven time - dependent quantum oscillator are obtained by means of the combination of the inhomogeneous bogoliubov transformation ( ibt ) and the evolution equation associated with a su ( 1, 1 ) h ( 4 ). our results agree well with those derived in [ 3 ], but the present method is more simple and definite
非齊次波戈留波夫變換與su ( 1 , 1 ) ? h ( 4 )量子系統的演化方程相結合,給出了求該系統時間演化算符和波函數的精確表達式。作為一個典型例子,我們得到含時受迫諧振子的演化算符和波函數的精確表達式。We mainly investigate the second kind. linear stability analysis and numerical simulations will be used, and the evolution equation of a nonlinear resonator filled with kerr medium, the mean - field model for a nonlinear resonator filled with two - level atomic medium, second - harmonic generation system ( shg ) with quadratically nonlinear material, complex ginzburg - landau equation ( cgle ), and coupled map lattice model ( cml ) will be considered in this dissertation. the paper can be divided into three parts : pattern formation, pattern selection and control of stc, the synchronization and applications of stc
以含有kerr介質非線性光學諧振腔發展方程、含有二能級原子介質的非線性光學諧振腔平均場方程、含有x ~ 2介質的光學二次諧波產生系統模型、及復金茲伯格?朗道方程和耦合映射模型等動力學系統為例,採用線性穩定性分析及數值實驗方法,研究了斑圖形成、斑圖的選擇和時空混沌的控制、時空混沌的同步及其在保密通信方面的應用等三大部分內容。The state function for the interaction of a a - type three - level atom with two - mode squeezing vacuum field is derived in the paper. the influences of detuning 8 and initial squeezed light - field factor r on the cauchy - schwartz inequality, light squeezing and nonclassical properties are investigated
本文還導出了雙模壓縮真空場與型三能級原子非共振相互作用系統的態函數,研究了場模失諧量和場的初始壓縮因子r對原子布居概率、光場壓縮和非經典特性的影響。In this paper, the system of a a - type three - level atom interacting with two - mode su ( 1, 1 ) coherent states in a kerr - like medium is studied by means of the quantum theory, and the state function for the resonant or non - resonant interaction is derived. using the state function, the kerr effect on the quantum dynamics and nonclassical properties in the system is investigated ; and the influences of the detuning and initial atomic on the quantum and nonclassical properties in the non - resonant interaction study system
本文運用全量子理論,研究了類kerr介質中雙模su ( 1 , 1 )相干態場與型三能級原子相互作用系統,分別導出了該系統在共振及非共振相互作用時的態函數,並以此為出發點,研究了kerr效應對系統的量子動力學和非經典特性的影響,場模失諧量、原子初態對非共振作用系統的量子動力學和非經典特性影響。In the field of fundamental research, such as quantum optics, blue light can be used as a pump source of optical parametric oscillator ( opo ) to generate the neoclassical light fields around wavelength of 860nm, which can be detected with 99. 9 % of quantum efficiency, the highest efficiency in the measurement of neoclassical light as known yet it is also possible to generate the squeezed vacuum state at 852nm, which is the resonance wavelength of the transition line d2 of cesium atoms and can be supposed to investigate the properties of atomic radiation in the interaction between atoms and quantum state of light fields
在量子光學中,該藍光作為下轉換的泵浦源,可以產生860nm非經典光場,其探測效率可達99 . 9 ,高於目前產生的其他任何波段的非經典光場。同時通過溫度調諧,可望產生與銫原子d2線作用的852nm波段的壓縮真空態,從而開展非經典光場與冷原子的相互作用等方面的實驗研究。本文主要通過knbo _ 3晶體外腔諧振倍頻技術來產生藍色激光光源。In the second chapter, the conceptions of solids - - - - - - - structure, compressibility, expansivity, specific heat capacity, bulk modulus, and some nonlinear parameters are reviewed and elaborated. the basic theory in the broad sense and polynomial forms of eoss are stated
由於本論文研究的重點對象是固態物質系統的物態方程,所以第二章首先是對固體的有關概念? ?固體的結構、拉伸壓縮、熱膨脹、熱容量、及表徵組成固體的大量原子作非諧性振動的一些非線性參量? anderson - gr (Traditional production methods of resonant cavity is very difficult for the manufacture of the microcavity
通過數值分析可知,光子晶體微諧振腔的品質因子非常高。For small displacement u, the oscillator is a duffing - type cubic non - linear oscillator, while for large displacement u, the oscillator approximates to a linear harmonic oscillator
所謂達芬諧波振子是指當位移遠小於1時,系統可化為三次非線性振子,而當位移遠大於1時,該系統則化為線性諧波振子。The research work on the chaos is carried out in chapter 5. the properties of chaos sensitively dependent on the initial conditions and the perturbations are proved and a method of controlling chaos of duffing oscillator is investigated as well. in chapter 6, the bifurcation and chaos of continuous nonlinear systems are researched
第五章用正規攝動法給出了一維非線性微分方程的通解,並以此為基礎解析地證明了混沌運動對初值的敏感依賴性和對擾動的敏感依賴性,並以杜芬振子為例子以驗證,研究了杜芬振子的混沌運動控制的多諧擾動法。分享友人