• Title/Summary/Keyword: Gaussian optics

Search Result 121, Processing Time 0.022 seconds

The Variation in Chromaticity of Optical System having the Truncated Incident Beam (입사광의 단락된 정도에 따른 광학계의 색도 변화)

  • Park, Seong Jong;Chung, Chang Sub;Sim, Sang Hyun
    • Journal of Korean Ophthalmic Optics Society
    • /
    • v.5 no.1
    • /
    • pp.13-18
    • /
    • 2000
  • In this paper, we use the C light which is a daylight and consider the incident beam having the Gaussian amplitude. We investigated the illuminance distributions and the variation in chromaticity of optical system having the truncated Gaussian amplitude on the focal plane and along the optical axis using the C light source. We also use the three sensitivity functions of human eye(CIE 1931) for wavelengths which are from 380nm to 780nm. When the truncation grade of incident beam having Gaussian amplitude decreases, the size of central spot on the focal plane and the depth of focus along the optical axis decrease, and the variation in chromaticity on the focal plane and along the axis increases rapidly. As the illuminance on the focal plane decreases the variation in chromaticity of optical system increases rapidly, and as the depth of focus increases the variation in chromaticity of optical system decreases.

  • PDF

General Numerical Calculation Method for Paraxial Zoom Loci of Zoom Lenses with Finite Object Distance by Using Gaussian Bracket Method (가우스 괄호법을 이용한 유한 물점을 갖는 줌 렌즈에 대한 일반적인 수치해석적 근축광선 줌 궤적 추적)

  • Lee, Do-Kyung;Yoo, Nam-Jun;Jo, Jae-Heung;Ryu, Jae-Myung;Kang, Geon-Mo;Lee, Hae-Jin
    • Korean Journal of Optics and Photonics
    • /
    • v.20 no.3
    • /
    • pp.156-165
    • /
    • 2009
  • We theoretically derive the set of general paraxial zoom locus equations for all zoom lens systems with finite object distance, including the infinite object distance case, by using the Gaussian bracket method and matrix representation of paraxial ray tracing. We make the zoom locus program by means of a numerical calculation method according to these equations in Visual Basic Language. Consequently, the solutions of this method can be consistently and flexibly used in all types of zoom lens in the step of initial design about zoom loci. Finally, in order to verify the justification and usefulness of this method, we show that two examples, such as $M_{4a}$ and $M_{4h}$ types of 4 groups, and one example, $M_{5n}$ type of 5 groups, which are very complicated zoom lens systems, can be rapidly and diversely traced through various interpolations by using this program.

Numerical Calculation for Autofocus of Zoom Lenses by Using Gaussian Brackets (가우스 괄호법을 이용한 줌 렌즈의 조출량에 대한 수치해석 계산법)

  • Jo, Jae-Heung;Lee, Do-Kyung;Lee, Sang-On;Ryu, Jae-Myung;Kang, Geon-Mo;Lee, Hae-Jin
    • Korean Journal of Optics and Photonics
    • /
    • v.20 no.3
    • /
    • pp.166-174
    • /
    • 2009
  • When the object distance of a zoom lens with finite object distances is varied, we can fix the image at a fixed image plane by moving only one zoom lens group (autofocus group) without moving all zoom lens groups for the autofocus. We theoretically formulated and numerically calculated the moving distances of the autofocus group by using Gaussian brackets and a paraxial ray tracing method. The solutions of this method can be consistently and flexibly used in the initial design for the moving distance of autofocus group within these zoom loci in all types of zoom lens. Finally, in order to verify the usefulness of this method, we show that the moving distance of an autofocus group can be rapidly and diversely obtained in one example of $M_{5n}$ zoom lens type.

x$^{(3)}$ Measurement through Self-focusing with Non-gaussian Beam (비 Gaussian 빛에 의한 자체집광을 이용한 x$^{(3)}$측정)

  • 이범구
    • Korean Journal of Optics and Photonics
    • /
    • v.4 no.4
    • /
    • pp.428-433
    • /
    • 1993
  • The second harmonic of Q-switched Nd:YAG laser beam with gaussian mode is cut off by pinhole of a certain radius and its central portion passed through pinhole is focused by converging lens. It is confirmed that the shape of this beam in focal region is central symmetric but non-gaussian. Change of transmittance due to self-focusing is investigated by scanning (z-scan) $CS_2$ of 1 mm thickness in the focal region. It is found that the observed results can be consistently explained by Fresnel theory within 1.5% accuracy and efficiency of self-focusing depends on spatial shape of incident beam.

  • PDF

Analysis of the Radiation Patterns for a Millimeter Wave Corrugated Horn Antenna by Vector Integral Method and Quasi-Optics (벡터 적분법과 준 광학모드에 의한 밀리미터파용 컬러게이트 혼 안테나의 복사패턴 해석)

  • Son-Tae Ho
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.5 no.2
    • /
    • pp.20-28
    • /
    • 1994
  • Theoretical radiation patterns for the corrugated horn antenna are analyzed by vector integral method and quasi-optics. The formular of the radiated fields for the corrugated horn antenna can be obtained by the potentials derived the equivalent current sources from hybrid fields at horn aperture and also calculated by the expanded mode set of Gaussian - Laguerre based on the quasi - optics. From comparison of the radiation patterns between two methods for a corrugated horn antenna designed on 85-115 GHz frequency range, the results are coincided well at center frequency but have some errors at each side frequencies 85 and 115 GHz.

  • PDF

A study on convergence and stabilization of SVD damped least squares method in the triplet camera lens-system design (카메라 렌즈 설계에서 직교화 방법에 관한 연구)

  • Jung, Jung Bok;Lee, Won Gin;Kim, Kyung Chan
    • Journal of Korean Ophthalmic Optics Society
    • /
    • v.1 no.1
    • /
    • pp.29-39
    • /
    • 1996
  • We studied the method which would determine the appropriate additive damping factor for the damped least sequres(DLS) optimization. We calculated eigenvalues of the product of the Jacobian matrix of error function by using the singular value decomposition(SVD) method. While suitable damping factor was appiled to the additive DLS by using SVD and Gaussian elimination method, the convergence and stability of the optimization process were examined in a triplet-type camera lens-system where the condition number is well conditioned. We compared the convergence and stability of merit function when median, maximum and minimum of eigenvalues were used as a damping factor in the optimization process. When damping factor is median of eigenvalue, the convergence and stability of merit function are more excellent than in the case of two other eigenvalues. Thus, we adopt the median of eigenvalues as an appropriate damping factor. Next, by using SVD and Gaussian elimination method, we compound the convergence and stability of optimization process for triplet-type camera lens-system design. In these two method; triplet-type camera lens-system in which condition number is well conditioned, has little improvement with the combination of DLS and SVD.

  • PDF

Gaussian Model for Laser Image on Curved Surface

  • Annmarie Grant;Sy-Hung Bach;Soo-Yeong Yi
    • Current Optics and Photonics
    • /
    • v.7 no.6
    • /
    • pp.701-707
    • /
    • 2023
  • In laser imaging, accurate extraction of the laser's center is essential. Several methods exist to extract the laser's center in an image, such as the geometric mean, the parabolic curve fitting, and the Gaussian curve fitting, etc. The Gaussian curve fitting is the most suitable because it is based on the physical properties of the laser. The width of the Gaussian laser beam depends on the distance from the laser source to the target object. It is assumed in general that the distance remains constant at a laser spot resulting in a symmetric Gaussian model for the laser image. However, on a curved surface of the object, the distance is not constant; The laser beam is narrower on the side closer to the focal point of the laser light and wider on the side closer to the laser source, which causes the distribution of the laser beam to skew. This study presents a modified Gaussian model in the laser imaging to incorporate the slant angle of a curved object. The proposed method is verified with simulation and experiments.

Output Characteristics of a Q-Switched Nd:YAG laser with GRM(Gaussian Reflectivity Mirror) unstable resonator (GRM(Gaussian Reflectivity Mirror)을 이용한 불안정 공진기형 Q-스위치 Nd:YAG 레이저의 출력특성)

  • Lee, Hee-Chul;Kim, Yong-Pyung
    • Korean Journal of Optics and Photonics
    • /
    • v.16 no.2
    • /
    • pp.152-158
    • /
    • 2005
  • We investigated the operational characteristics of a Q-switched Nd:YAG laser, which has an unstable resonator with a GRM(Gaussian reflectivity mirror). With electrical input energy of 55 J, we obtained the fundamental energy of 470 mJ at 1064 nm and the frequency doubled energy of 280 mJ at 532 nm. The Top-Hat profile of the output beam was obtained at the near field, and beam divergence was 1.7 mard.

Partial Spectrum Detection and Super-Gaussian Window Function for Ultrahigh-resolution Spectral-domain Optical Coherence Tomography with a Linear-k Spectrometer

  • Hyun-Ji, Lee;Sang-Won, Lee
    • Current Optics and Photonics
    • /
    • v.7 no.1
    • /
    • pp.73-82
    • /
    • 2023
  • In this study, we demonstrate ultrahigh-resolution spectral-domain optical coherence tomography with a 200-kHz line rate using a superluminescent diode with a -3-dB bandwidth of 100 nm at 849 nm. To increase the line rate, a subset of the total number of camera pixels is used. In addition, a partial-spectrum detection method is used to obtain OCT images within an imaging depth of 2.1 mm while maintaining ultrahigh axial resolution. The partially detected spectrum has a flat-topped intensity profile, and side lobes occur after fast Fourier transformation. Consequently, we propose and apply the super-Gaussian window function as a new window function, to reduce the side lobes and obtain a result that is close to that of the axial-resolution condition with no window function applied. Upon application of the super-Gaussian window function, the result is close to the ultrahigh axial resolution of 4.2 ㎛ in air, corresponding to 3.1 ㎛ in tissue (n = 1.35).

Calulation of gaussian-wavefront variations induced by a photorefractive grating with ono-90 phase shift

  • Lee, Yeon-Ho
    • Korean Journal of Optics and Photonics
    • /
    • v.5 no.4
    • /
    • pp.453-456
    • /
    • 1994
  • Variations in the amplitude and phase distributions of an incident Gaussian beam are derived analytically when it propagates through a photorefractive crystal in the presence of another strong beam and resulting photorefractive grating that is phase shifted by other than 90.deg. relative to the intensity grating. In the presence of the photorefractive grating the beam is shown to propagate along a straight line in a new direction with an increased wave number.

  • PDF