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Journal articles on the topic 'Convex mirror'

Author: Grafiati

Published: 4 June 2021

Last updated: 9 February 2022

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1

Watanabe, Takeo, Tsuneyuki Haga, Masahito Niibe, and Hiroo Kinoshita. "Design of beamline optics for EUVL." Journal of Synchrotron Radiation 5, no. 3 (May 1, 1998): 1149–52. http://dx.doi.org/10.1107/s0909049597017536.

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The design of front-end collimating optics for extreme-ultraviolet lithography (EUVL) is reported. For EUVL, collimating optics consisting of a concave toroidal mirror and a convex toroidal mirror can achieve shorter optical path lengths than collimating optics consisting of two concave toroidal mirrors. Collimating optics consisting of a concave toroidal mirror and a convex toroidal mirror are discussed. The design of collimating optics for EUVL beamlines based on ray-tracing studies is described.

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2

Mazzae, Elizabeth N., W. Riley Garrott, and Anthony J. Cacioppo. "Utility Assessment of Side Object Detection Systems for Heavy Trucks." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 38, no. 9 (October 1994): 466–70. http://dx.doi.org/10.1177/154193129403800903.

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Side object detection systems (SODS) alert drivers to the presence of traffic alongside their vehicle within a defined detection zone. Their intent is to reduce lane changing and merging collisions. The effect of right SODS on the safety related behavior of commercial vehicle drivers was examined in this study. Eight subjects drove a tractor-semitrailer equipped with four different sets of right SODS or mirrors. Subjects were tested with two right SODS (a radar-based system, and an ultrasonic-based system), a fender-mounted convex mirror, and, for comparison, standard side view mirrors. For each case, subjects drove the test vehicle through a set route for one day. The effect of these systems on driver behavior and the extent to which safety may be improved by implementing SODS were assessed based upon the correctness of responses and verbal response times to Right Clear questions, and upon subject glance fixations and durations. A debriefing questionnaire was used to acquire subjects' opinions about the SODS. Driver performance with SODS was not significantly improved over that observed with standard side view mirrors. Analysis of the correctness of responses to Right Clear questions showed that subjects' accuracy in assessing the traffic situation along the right side of the vehicle was not improved by the SODS, but was improved by the fender-mounted convex mirror. Verbal response times to Right Clear questions were significantly lower with the SODS and fender-mounted convex mirror than with standard mirrors. This difference may have resulted from a learning effect caused by presenting the standard mirrors first to each subject. Glance data showed that subjects only sometimes visually sampled the SODS displays. Responses to debriefing questionnaires indicated that subjects were receptive to the concept of SODS and very positive about the fender-mounted convex mirror. However, if SODS are to offer significant safety benefits in the future, more work is needed to refine their performance and design.

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3

Janson, Anthony F. "THE CONVEX MIRROR AS VANITAS SYMBOL." Source: Notes in the History of Art 4, no. 2/3 (January 1985): 51–54. http://dx.doi.org/10.1086/sou.4.2_3.23202426.

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4

Liu, Xuan, Junhong Deng, King Fai Li, Mingke Jin, Yutao Tang, Xuecai Zhang, Xing Cheng, Hong Wang, Wei Liu, and Guixin Li. "Optical telescope with Cassegrain metasurfaces." Nanophotonics 9, no. 10 (April 10, 2020): 3263–69. http://dx.doi.org/10.1515/nanoph-2020-0012.

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AbstractThe Cassegrain telescope, made of a concave primary mirror and a convex secondary mirror, is widely utilized for modern astronomical observation. However, the existence of curved mirrors inevitably results in bulky configurations. Here, we propose a new design of the miniaturized Cassegrain telescope by replacing the curved mirrors with planar reflective metasurfaces. The focusing and imaging properties of the Cassegrain metasurface telescopes are experimentally verified for circularly polarized incident light at near infrared wavelengths. The concept of the metasurface telescopes can be employed for applications in telescopes working at infrared, Terahertz, and microwave and even radio frequencies.

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5

Feng Zhang, Feng Zhang. "Fabrication and testing of optical free-form convex mirror." Chinese Optics Letters 13, s1 (2015): S12202–312205. http://dx.doi.org/10.3788/col201513.s12202.

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6

Lounici, K. "Generalized mirror averaging and D-convex aggregation." Mathematical Methods of Statistics 16, no. 3 (September 2007): 246–59. http://dx.doi.org/10.3103/s1066530707030040.

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7

Heidmann, A., P. F. Cohadon, and M. Pinard. "Thermal noise of a plano-convex mirror." Physics Letters A 263, no. 1-2 (November 1999): 27–32. http://dx.doi.org/10.1016/s0375-9601(99)00704-5.

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8

Krohl, Robert. "A convex lens as a thick mirror." Physics Teacher 26, no. 1 (January 1988): 18. http://dx.doi.org/10.1119/1.2342406.

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9

Fadili, Jalal, Jérôme Malick, and Gabriel Peyré. "Sensitivity Analysis for Mirror-Stratifiable Convex Functions." SIAM Journal on Optimization 28, no. 4 (January 2018): 2975–3000. http://dx.doi.org/10.1137/17m113825x.

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10

Alaruri, Sami D. "45.5X Infinity Corrected Schwarzschild Microscope Objective Lens Design." International Journal of Measurement Technologies and Instrumentation Engineering 7, no. 1 (January 2018): 17–37. http://dx.doi.org/10.4018/ijmtie.2018010102.

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In this article, the design of a 45.5X (numerical aperture (NA) =0.5) infinity corrected, or infinite conjugate, Schwarzschild reflective microscope objective lens is discussed. Fast Fourier transform modulation transfer function (FFT MTF= 568.4 lines/mm at 50% contrast for the on-axis field-of-view), root-mean-square wavefront error (RMS WFE= 0.024 waves at 700 nm), point spread function (PSF, Strehl ratio= 0.972), encircled energy (0.88 µm spot radius at 80% fraction of enclosed energy), optical path difference (OPD=-0.644 waves) and Seidel coefficients calculated with Zemax® are provided to show that the design is diffraction-limited and aberration-free. Furthermore, formulas expressing the relationship between the parameters of the two spherical mirrors and the Schwarzschild objective lens focal length are given. In addition, tolerance and sensitivity analysis for the Schwarzschild objective lens, two spherical mirrors indicate that tilting the concave mirror (or secondary mirror) has a higher impact on the modulation transfer function values than tilts introduced by the convex mirror (or primary mirror). Finally, the performed tolerance and sensitivity analysis on the lens design suggests that decentering any of the mirrors by the same distance has the same effect on the modulation transfer function values.

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11

Siahaan, Yahot, and Hartono Siswono. "Analysis the effect of reflector (flat mirror, convex mirror, and concave mirror) on solar panel." International Journal of Power Electronics and Drive Systems (IJPEDS) 10, no. 2 (June 1, 2019): 943. http://dx.doi.org/10.11591/ijpeds.v10.i2.pp943-952.

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<p>At the time of the sun a straight line with solar cells may not necessarily produce the maximum output. Various ways continue to be done in order to get the maximum output. The maximum utilization of output from solar cells will accelerate the function of the solar cell. The use of reflectors is an excellent way to maximum output with effective time. The author will analyze solar cells with flat mirror, convex mirror, concave mirror, and without reflector. Each reflector is given varying treatment by calibrating the angle of the reflector to the solar cell by 60<sup>o</sup>, 90<sup>o</sup>, and 120<sup>o</sup>. After testing and data retrieval turns reflector very influential on the output of solar cells. The solar cell output power increases with each different reflector. Maximum output is obtained in a concave mirror with an angle is 90<sup>o</sup>.</p>

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12

LI Jun-feng, 李俊峰. "Fabrication and test of SiC convex aspheric mirror." Chinese Journal of Optics and Applied Optics 7, no. 2 (2014): 287–92. http://dx.doi.org/10.3788/co.20140702.0287.

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13

Lei, Yunwen, and Ding-Xuan Zhou. "Analysis of Online Composite Mirror Descent Algorithm." Neural Computation 29, no. 3 (March 2017): 825–60. http://dx.doi.org/10.1162/neco_a_00930.

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We study the convergence of the online composite mirror descent algorithm, which involves a mirror map to reflect the geometry of the data and a convex objective function consisting of a loss and a regularizer possibly inducing sparsity. Our error analysis provides convergence rates in terms of properties of the strongly convex differentiable mirror map and the objective function. For a class of objective functions with Hölder continuous gradients, the convergence rates of the excess (regularized) risk under polynomially decaying step sizes have the order [Formula: see text] after [Formula: see text] iterates. Our results improve the existing error analysis for the online composite mirror descent algorithm by avoiding averaging and removing boundedness assumptions, and they sharpen the existing convergence rates of the last iterate for online gradient descent without any boundedness assumptions. Our methodology mainly depends on a novel error decomposition in terms of an excess Bregman distance, refined analysis of self-bounding properties of the objective function, and the resulting one-step progress bounds.

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14

Zhang, Zhong Yu, and Bin Zhi Zhang. "Null Compensator Testing Convex Freeform Surface Mirror with CGH Technology." Advanced Materials Research 660 (February 2013): 163–66. http://dx.doi.org/10.4028/www.scientific.net/amr.660.163.

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The Computer Generated Hologram（CGH）technique is the main method for optical testing the free form surface .For testing a convex free form surface mirror, a CGH element with the surface testing, interferometer and free form mirror precise position function was designed by use of appropriative software, the testing precision was less than 0.011λ（λ=632.8nm）in RMS value by this means.

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15

Stonyakin, F. S., M. Alkousa, A. N. Stepanov, and A. A. Titov. "Adaptive mirror descent algorithms for convex and strongly convex optimization problems with functional constraints." Diskretnyi analiz i issledovanie operatsii 26, no. 3 (October 17, 2018): 88–114. http://dx.doi.org/10.33048/daio.2019.26.636.

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16

Stonyakin, F. S., M. Alkousa, A. N. Stepanov, and A. A. Titov. "Adaptive Mirror Descent Algorithms for Convex and Strongly Convex Optimization Problems with Functional Constraints." Journal of Applied and Industrial Mathematics 13, no. 3 (July 2019): 557–74. http://dx.doi.org/10.1134/s1990478919030165.

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17

Weijie Deng, Weijie Deng, and Feng Zhang Feng Zhang. "Precision manufacturing of convex off-axis aspheric mirror in space optical system." Chinese Optics Letters 13, s1 (2015): S12204–312206. http://dx.doi.org/10.3788/col201513.s12204.

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18

Nykrog, Per, and Florence M. Weinberg. "Gargantua in a Convex Mirror: Fischart's View of Rabelais." Modern Language Review 82, no. 4 (October 1987): 952. http://dx.doi.org/10.2307/3729087.

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19

Zhu, Deyan, Fang Wang, Ping Li, and Ming Li. "Research on hybrid compensation testing of convex aspherical mirror." Optics and Lasers in Engineering 132 (September 2020): 106108. http://dx.doi.org/10.1016/j.optlaseng.2020.106108.

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20

Benson, Edward, and Florence M. Weinberg. "Gargantua in a Convex Mirror: Fischart's View of Rabelais." Sixteenth Century Journal 18, no. 4 (1987): 599. http://dx.doi.org/10.2307/2540878.

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21

Campbell, Catherine E., and Florence M. Weinberg. "Gargantua in a Convex Mirror: Fischart's View of Rabelais." Sixteenth Century Journal 18, no. 4 (1987): 600. http://dx.doi.org/10.2307/2540879.

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22

Yuan, Deming, Yiguang Hong, Daniel W. C. Ho, and Guoping Jiang. "Optimal distributed stochastic mirror descent for strongly convex optimization." Automatica 90 (April 2018): 196–203. http://dx.doi.org/10.1016/j.automatica.2017.12.053.

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23

Reskin, S., P. M. Silangen, J. V. Tumangkeng, C. Poluakan, T. K. Londa, and A. H. Mondolang. "Implementation of the PIMCA model to learning convex mirror." Journal of Physics: Conference Series 1968, no. 1 (July 1, 2021): 012040. http://dx.doi.org/10.1088/1742-6596/1968/1/012040.

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24

Chang, Jin Won, Saeng Soo Kim, Jae Kyoo Lim, and Jong Jo Lee. "Study on Solar Generating Apparatus for Solving Problem of Shadow." Applied Mechanics and Materials 776 (July 2015): 449–54. http://dx.doi.org/10.4028/www.scientific.net/amm.776.449.

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As we secure sufficient space to distribute power generation equipment of solar energy, there will be no shaded area, but for the limited space, we can find temporaryshaded area surely for a few moments or a few hours .For the fixed type which are used to most roof solar power plant, side beam is projected for certain period of time before and after sunset, it would be affected to electric generation efficiency, so we researched to solve this phenomena using concave and convex mirror. For basic principle, when module is positioned at shaded area and time, it can deliver to be spread toward module to be accumulatedsunshine with concave mirror and reflected with convex mirror. For net energy which is obtained from sunlight, it produced 223W/day and it produced 207W/dayusing reflect mirror, we can get result which we can get similar amount of power energy only with reflect mirror.It shows that the production by direct light has increase of 8% more than production by reflected light.

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25

Tsukanova, G. I., and K. D. Butylkina. "Fast three-mirror objectives having no intermediate image with convex second and concave third mirrors." Journal of Optical Technology 81, no. 3 (March 1, 2014): 114. http://dx.doi.org/10.1364/jot.81.000114.

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26

Kawai, Ryohei, Eiichi Aoyama, Toshiki Hirogaki, Keiji Ogawa, and Kazuya Sawa. "Surface Generation for Magic-Mirror by End-Milling and Magnetic Polishing with Digitally Functioned CNC Machining Center." Key Engineering Materials 523-524 (November 2012): 368–73. http://dx.doi.org/10.4028/www.scientific.net/kem.523-524.368.

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This paper describes fabrication of a magic-mirror with an extremely small concavo-convex surface, which is invisible to the naked eye. The magic-mirror was manufactured by end-milling with a machining center on the rear of the workpiece after polishing. Incident light was radiated to the mirror surface and the reflected light was projected on a screen. The tool pass by CNC programming show up as image of magic-mirror on the screen. Analysis of the image on the screen indicated completion rate of magic-mirror surface generation. As some experimental result, the integrated magic-mirror production process on the machining center could be achieved by a novel application of on-machine magnetic abrasive finishing and ball end-milling. Moreover, it was found to possible to fabricate a magic-mirror with satiny and continuous-curvature corrugated surface.

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27

Shimizu, Hiroki, Keitaro Tanaka, and Yuuma Tamaru. "Development of a Compact Deformable Mirror Using Push-Pull Actuators." Key Engineering Materials 613 (May 2014): 200–203. http://dx.doi.org/10.4028/www.scientific.net/kem.613.200.

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A small deformable mirror which realizes concave shape as well as convex shape has been developed. In addition, this deformable mirror was developed to realize long term stability. For this purpose, a new push-pull actuator using two multilayered piezoelectric actuators aligned inline was designed. In this process, a practical method for simulating the property of piezoelectric actuator in the finite element method was proposed. From the experimental results, it was confirmed that newly developed deformable mirror has the ability to make complex profiles. Furthermore, efficiency of proposed simulation method was also confirmed.

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28

Yan Gongjing, 闫公敬, and 张宪忠 Zhang Xianzhong. "Technology of sub-aperture stitching testing optical convex spherical mirror." Infrared and Laser Engineering 45, no. 5 (2016): 0517002. http://dx.doi.org/10.3788/irla201645.0517002.

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29

Kim, Youngmin, Byoungho Lee, Sung-Wook Min, Se Hwan Kim, and Jin Jang. "50.2: Projection-type Integral Imaging System Using Convex Mirror Array." SID Symposium Digest of Technical Papers 39, no. 1 (2008): 752. http://dx.doi.org/10.1889/1.3069777.

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30

Lee, In-Jung. "Nonlinear Deblurring Algorithm on Convex-Mirror Image for Reducing Occlusion." KIPS Transactions:PartA 13A, no. 5 (October 30, 2006): 429–34. http://dx.doi.org/10.3745/kipsta.2006.13a.5.429.

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31

Luong, Duy V. N., Panos Parpas, Daniel Rueckert, and Berç Rustem. "A Weighted Mirror Descent Algorithm for Nonsmooth Convex Optimization Problem." Journal of Optimization Theory and Applications 170, no. 3 (June 14, 2016): 900–915. http://dx.doi.org/10.1007/s10957-016-0963-5.

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32

Beck, Amir, and Marc Teboulle. "Mirror descent and nonlinear projected subgradient methods for convex optimization." Operations Research Letters 31, no. 3 (May 2003): 167–75. http://dx.doi.org/10.1016/s0167-6377(02)00231-6.

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33

Zhang, Yaoju. "Optical intensity distribution of a plano-convex solid immersion mirror." Journal of the Optical Society of America A 24, no. 1 (January 1, 2007): 211. http://dx.doi.org/10.1364/josaa.24.000211.

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34

Rubin, Nancy. "The Convex Mirror: A Queen, An Heiress and Biographical Blindness." American Imago 55, no. 2 (1998): 205–13. http://dx.doi.org/10.1353/aim.1998.0015.

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35

Jang, Ju-Seog, and Bahram Javidi. "Three-dimensional projection integral imaging using micro-convex-mirror arrays." Optics Express 12, no. 6 (March 22, 2004): 1077. http://dx.doi.org/10.1364/opex.12.001077.

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36

Zhou, Zhengyuan, Panayotis Mertikopoulos, Nicholas Bambos, Stephen P. Boyd, and Peter W. Glynn. "On the Convergence of Mirror Descent beyond Stochastic Convex Programming." SIAM Journal on Optimization 30, no. 1 (January 2020): 687–716. http://dx.doi.org/10.1137/17m1134925.

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37

Stevens, Edward, Martin Cohen, and Peregrin Spielholz. "Optical Properties of Plane and Convex Mirrors: Investigation of Mirror Use to Enhance Construction Flagger Safety." International Journal of Occupational Safety and Ergonomics 15, no. 1 (January 2009): 89–100. http://dx.doi.org/10.1080/10803548.2009.11076791.

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38

Ji, Shi Jun, Hui Juan Yu, and Ji Zhao. "Ultra-Precision Machining of Off-Axis Convex Ellipsoidal Surface Using Two Different Accurate Spiral Tool Paths." Key Engineering Materials 609-610 (April 2014): 745–50. http://dx.doi.org/10.4028/www.scientific.net/kem.609-610.745.

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The off-axis parabolic mirror plays more and more important role in high-tech areas since the advantages of reducing space and improving the quality of imaging. Two ultra-precision manufacturing methods are often applied to machining the off-axis ellipsoidal mirror, which one is revolving the cylindrical blank around the axis of ellipsoidal surface and another one is revolving around the axis of cylindrical surface. But which machining method can produce a better result has no rounded comparisons and analysis according to previous research. In this paper, the tool path generation method is presented and the corresponding tool paths of each manufacturing method for the off-axis ellipsoidal mirror are calculated respectively. The motion characteristics are also analyzed and compared correspondingly. Finally, the effects of diamond tool parameters are further analyzed in theory to avoid the tool interference. The studies processed in this paper provide a theoretical basis of choosing the ultra-precision manufacturing method for the off-axis ellipsoidal mirror and can improve the efficiency and precision of processing.

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39

Störmer, Michael, Frank Siewert, and Harald Sinn. "Preparation and characterization of B4C coatings for advanced research light sources." Journal of Synchrotron Radiation 23, no. 1 (January 1, 2016): 50–58. http://dx.doi.org/10.1107/s1600577515020901.

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X-ray optical elements are required for beam transport at the current and upcoming free-electron lasers and synchrotron sources. An X-ray mirror is a combination of a substrate and a coating. The demand for large mirrors with single layers consisting of light or heavy elements has increased during the last few decades; surface finishing technology is currently able to process mirror lengths up to 1 m with microroughness at the sub-nanometre level. Additionally, thin-film fabrication is able to deposit a suitable single-layer material, such as boron carbide (B4C), some tens of nanometres thick. After deposition, the mirror should provide excellent X-ray optical properties with respect to coating thickness errors, microroughness values and slope errors; thereby enabling the mirror to transport the X-ray beam with high reflectivity, high beam flux and an undistorted wavefront to an experimental station. At the European XFEL, the technical specifications of the future mirrors are extraordinarily challenging. The acceptable shape error of the mirrors is below 2 nm along the whole length of 1 m. At the Helmholtz-Zentrum Geesthacht (HZG), amorphous layers of boron carbide with thicknesses in the range 30–60 nm were fabricated using the HZG sputtering facility, which is able to cover areas up to 1500 mm long by 120 mm wide in one step using rectangular B4C sputtering targets. The available deposition area is suitable for the specified X-ray mirror dimensions of upcoming advanced research light sources such as the European XFEL. The coatings produced were investigated by means of X-ray reflectometry and interference microscopy. The experimental results for the B4C layers are discussed according to thickness uniformity, density, microroughness and thermal stability. The variation of layer thickness in the tangential and sagittal directions was investigated in order to estimate the achieved level of uniformity over the whole deposition area, which is considerably larger than the optical area of a mirror. A waisted mask was positioned during deposition between the sputtering source and substrate to improve the thickness uniformity; particularly to prevent the formation a convex film shape in the sagittal direction. Additionally the inclination of the substrate was varied to change the layer uniformity in order to optimize the position of the mirror quality deposited area during deposition. The level of mirror microroughness was investigated for different substrates before and after deposition of a single layer of B4C. The thermal stability of the B4C layers on the various substrate materials was investigated.

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40

Edelman, Lee. "The Pose of Imposture: Ashbery's "Self-Portrait in a Convex Mirror"." Twentieth Century Literature 32, no. 1 (1986): 95. http://dx.doi.org/10.2307/441308.

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41

Marinelli, Maurizio. "Self-portrait in a Convex Mirror: Colonial Italy Reflects on Tianjin." Transtext(e)s Transcultures 跨文本跨文化, no. 3 (September 1, 2007): 119–50. http://dx.doi.org/10.4000/transtexts.147.

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42

Hien, Le Thi Khanh, Cuong V. Nguyen, Huan Xu, Canyi Lu, and Jiashi Feng. "Accelerated Randomized Mirror Descent Algorithms for Composite Non-strongly Convex Optimization." Journal of Optimization Theory and Applications 181, no. 2 (January 16, 2019): 541–66. http://dx.doi.org/10.1007/s10957-018-01469-5.

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43

Jang, Jae-Young, Donghak Shin, Byung-Gook Lee, and Eun-Soo Kim. "Multi-projection integral imaging by use of a convex mirror array." Optics Letters 39, no. 10 (May 6, 2014): 2853. http://dx.doi.org/10.1364/ol.39.002853.

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44

Nishibori, K., Z. Ishikawa, and T. Katagiri. "Measurement of Inclination Angle of Convex Mirror Using LED Light Sources." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2004 (2004): 88. http://dx.doi.org/10.1299/jsmermd.2004.88_1.

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45

Nazin, A. V. "Algorithms of Inertial Mirror Descent in Convex Problems of Stochastic Optimization." Automation and Remote Control 79, no. 1 (January 2018): 78–88. http://dx.doi.org/10.1134/s0005117918010071.

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46

Das, N. C., and M. V. R. K. Murty. "Flat field spectrograph using convex holographic diffraction grating and concave mirror." Pramana 27, no. 1-2 (July 1986): 171–92. http://dx.doi.org/10.1007/bf02846337.

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47

Reininger, Ruben, Zunping Liu, Gilles Doumy, and Linda Young. "A simple optical system delivering a tunable micrometer pink beam that can compensate for heat-induced deformations." Journal of Synchrotron Radiation 22, no. 4 (June 9, 2015): 930–35. http://dx.doi.org/10.1107/s1600577515006566.

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The radiation from an undulator reflected from one or more optical elements (usually termed `pink-beam') is used in photon-hungry experiments. The optical elements serve as a high-energy cutoff and for focusing purposes. One of the issues with this configuration is maintaining the focal spot dimension as the energy of the undulator is varied, since this changes the heat load absorbed by the first optical element. Finite-element analyses of the power absorbed by a side water-cooled mirror exposed to the radiation emitted by an undulator at the Advanced Photon Source (APS) and at the APS after the proposed upgrade (APSU) reveals that the mirror deformation is very close to a convex cylinder creating a virtual source closer to the mirror than the undulator source. Here a simple optical system is described based on a Kirkpatrick–Baez pair which keeps the focus size to less than 2 µm (in the APSU case) with a working distance of 350 mm despite the heat-load-induced change in source distance. Detailed ray tracings at several photon energies for both the APS and APSU show that slightly decreasing the angle of incidence on the mirrors corrects the change in the `virtual' position of the source. The system delivers more than 70% of the first undulator harmonic with very low higher-orders contamination for energies between 5 and 10 keV.

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48

Taha,PhD, Dr Aseel Abdul-Lateef. "Abstract Expressionism Techniques in John Ashbery’s "Self-Portrait in a Convex Mirror"." ALUSTATH JOURNAL FOR HUMAN AND SOCIAL SCIENCES 218, no. 1 (November 9, 2018): 129–46. http://dx.doi.org/10.36473/ujhss.v218i1.531.

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John Ashbery (1927-) is one of the most prominent postmodern poets in America who is known for his innovative techniques. He continues to be the most controversial poet, as he disregards the laws of logic in picturing reality. Ashbery’s style is deeply influenced by the experimental methods of modern painting. He has been mostly associated with Abstract Expressionism that signifies the great progress in the European avant-garde visual art. The Abstract expressionists often choose to present subjects in graceful distortion, rather than attempt to record life with absolute accuracy. Ashbery’s “Self-Portrait in a Convex Mirror” is typical of ekphrastic poetry. It is inspired by a painting which has the same title by the sixteenth-century Italian painter, Francesco Mazzola. The painting is not a realistic portrait of the painter, for it is deliberately distorted as it would be in a convex reflection. Ashbery unfolds the essence of postmodern poetry which illustrates the inability of the forms of language to capture the reality beyond the mental image. Like the Abstract Expressionists, he makes of his poems a depiction of the real workings of the mind which is liberated from all the constraints. Furthermore, the poem is a verbal depiction of the painting; it assumes and transforms the inner voice of the portrait.

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Churin, Evgeny G., Polina Bayvel, Vladimir B. Smirnitskii, Fedor N. Timofeev, and John E. Midwinter. "Concave grating and convex mirror double dispersion spectrograph for optical network applications." Applied Optics 36, no. 30 (October 20, 1997): 7822. http://dx.doi.org/10.1364/ao.36.007822.

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Mahoney, James. "LASER INTERFERENCE BY A CONVEX MIRROR [Phys. Teach. 10, 406 (Oct. 1972)]." Physics Teacher 41, no. 4 (April 2003): 250. http://dx.doi.org/10.1119/1.1564511.

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