• Title/Summary/Keyword: harmonic oscillator

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Design of a Novel Low Pass Filter with Low Spurious Response for Satellite Transponder (위성중계기를 위한 낮은 불요 특성을 갖는 새로운 형태의 저역통과 필터 설계)

  • 이문규;류근관;염인복;이성팔
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.1
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    • pp.7-11
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    • 2002
  • A novel microstrip type law-pass filter using thin or thick film resistors is proposed to efficiently eliminate harmonic spurious response in stop-band. The proposed low-pass filter shows the spurious suppression enhancement of 20 dB over a conventional one. The designed low-pass filter could be used as a harmonic rejection filter of a local oscillator for Ku-band satellite payload system.

A Study of High Power Microwave Output by K-band Waveguide (K-band 도파관을 이용한 대전력 마이크로파 출력장치 연구)

  • Kim, Won-Sop
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.4
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    • pp.588-591
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    • 2009
  • We had experimental studies of microwave output generator. We experimented with a corrugate-shped K-band slow wave guide in the backward wave oscillator. It generated output 표 interaction between electron beam's generation and magnetic field. We estimated oscillation frequency at 24GHz by changing propagation velocity and group velocity. We identified movement by second harmonic of Cherencov interaction and slow cyclotron mode. In our study we achieved oscillation stabilization, generation of long pulse, improvement of oscillation efficiency and output.

STOCHASTIC MEHLER KERNELS VIA OSCILLATORY PATH INTEGRALS

  • Truman, Aubrey;Zastawniak, Tomasz
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.469-483
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    • 2001
  • The configuration space and phase space oscillatory path integrals are computed in the case of the stochastic Schrodinger equation for the harmonic oscillator with a stochastic term of the form (K$\psi$(sub)t)(x) o dW(sub)t, where K is either the position operator or the momentum operator, and W(sub)t is the Wiener process. In this way formulae are derived for the stochastic analogues of the Mehler kernel.

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Quantization Rule for Relativistic Klein-Gordon Equation

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.32 no.12
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    • pp.4233-4238
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    • 2011
  • Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new quantization rule, the exact relativistic energies for exactly solvable potentials, e.g. harmonic oscillator, Morse, and Rosen-Morse II type potentials, are obtained. Consequently the new quantization rule is found to be exact for one-dimensional spinless relativistic quantum systems. Though the physical meanings of the new quantization rule have not been fully understood yet, the present formal derivation scheme may shed light on understanding relativistic quantum systems more deeply.

REGULARITY OF THE SCHRÖDINGER EQUATION FOR A CAUCHY-EULER TYPE OPERATOR

  • CHO, HONG RAE;LEE, HAN-WOOL;CHO, EUNSUNG
    • East Asian mathematical journal
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    • v.35 no.1
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    • pp.1-7
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    • 2019
  • We consider the initial value problem of the Schrodinger equation for an interesting Cauchy-Euler type operator ${\mathfrak{R}}$ on ${\mathbb{C}}^n$ that is an analogue of the harmonic oscillator in ${\mathbb{R}}^n$. We get an appropriate $L^1-L^{\infty}$ dispersive estimate for the solution of the initial value problem.

A Study on the Design and Implementation of the Oscillator Using a Miniaturized Hairpin Ring Resonator (소형화된 헤어핀 링 공진기를 이용한 발진기 설계 및 제작에 관한 연구)

  • Kim, Jang-Gu;Choi, Byoung-Ha
    • Journal of Advanced Navigation Technology
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    • v.12 no.2
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    • pp.122-131
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    • 2008
  • In this paper, an S-band oscillator of the low phase noise property using miniaturized microstrip hairpin shaped ring resonator has been designed and implemented. The TACONIC's RF-35 substrate has a dielectric constant ${\varepsilon}_r$=3.5 a thickness h=20mil a copper thickness t=17 um and loss tangent $tan{\delta}$=0.0025. The designed and implemented 2.45 GHz oscillator shows low phase performance of -100.5 dBc/Hz a 100kHz offset. Output power 20.9 dBm at center frequency 2.45 GHz and harmonic suppression -32 dBc. The circuit was implemented with hybrid technique. But can be fully compatible with the RFIC's, MIC and MMIC due to its entirely planar structure.

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A K-band Hair-pin Oscillator Using a Frequency Doubler (주파수 체배기를 이용한 K-Band용 Hair-pin 발진기)

  • 현안선;김훈석;김종헌;이종철;김남영;정원채;홍의석
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.9 no.6
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    • pp.833-842
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    • 1998
  • In this paper, a K-band oscillator which is composed of a hair-pin resonator, a GaAs MESFET, and a frequency doubler, is suggested, implemented by HMIC(Hybrid Microwave Integrated Circuits) form, and characterized for its microwave performance. A $\lambda_g$/4 open stub is used in frequency doubler to suppress the fundamental frequency of 9 GHz which is the output of the hair-pin resonator oscillator and output matching network is optimized for its second harmonic freuency of 18 HGz. For the oscillator, the output power of -0.83 dBm, the fundamental frequency suppression of -23 dBc, and phase noise of -86 dBc/Hz at 18.20 GHz are obtained.

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Design of Phase Locked Dielectric Resonator Oscillator with Low Phase Noise for X-band (저위상잡음을 갖는 X-band용 위상고정 유전체 공진 발진기의 설계 및 제작)

  • 류근관
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.1
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    • pp.34-40
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    • 2004
  • The PLDRO(Phase-Locked Dielectric Resonator Oscillator) with low phase noise is designed for X-band. The phase of VCDRO(Voltage Controlled Dielectric Resonator Oscillator) is locked to that of a high stable reference oscillator by using a SPD(Sampling Phase Detector) to improve phase noise performance in the loop bandwidth. And, the VCDRO is implemented using a high impedance inverter coupled with dielectric resonator to improve the phase noise performance out of the loop bandwidth. This PLDRO exhibits the harmonic rejection characteristics of 51.67㏈c and requires below 1.95W. The phase noise characteristics are performed as -107.17㏈c/Hz at 10KHz offset frequency and -113.0㏈c/Hz at 100KHz offset frequency, respectively, at ambient. And the output power of 13.0㏈m${\pm}$0.33㏈ is measured over the temperature range of $-20 ∼ +70^{\circ}C$ .