EI / SCOPUS / CSCD 收录

中文核心期刊

Zhang Pao-cheng. THE MATHEMATICAL FORMULAS AND THEIR PHYSICAL MEANING OF THE OBJECT-HOLOGRAM-IMAGE TRANSFORMS IN ACOUSTICAL HOLOGRAPHY[J]. ACTA ACUSTICA, 1979, 4(2): 96-101. DOI: 10.15949/j.cnki.0371-0025.1979.02.002
Citation: Zhang Pao-cheng. THE MATHEMATICAL FORMULAS AND THEIR PHYSICAL MEANING OF THE OBJECT-HOLOGRAM-IMAGE TRANSFORMS IN ACOUSTICAL HOLOGRAPHY[J]. ACTA ACUSTICA, 1979, 4(2): 96-101. DOI: 10.15949/j.cnki.0371-0025.1979.02.002

THE MATHEMATICAL FORMULAS AND THEIR PHYSICAL MEANING OF THE OBJECT-HOLOGRAM-IMAGE TRANSFORMS IN ACOUSTICAL HOLOGRAPHY

More Information
  • Received Date: June 21, 1978
  • Available Online: August 22, 2022
  • The object-hologram-image transforms in acoustical holography are presented. The formulas of three transforms with various combination of continuous and discrete character are given, and the corresponding physical meanings are demonstrated. It is indicated that in constrast with continuous hologram the discrete hologram results in appearance of high order images, some formulas applicable to computer simulations are also given.
  • Related Articles

    [1]MIAO Feng, YANG Diange, WEN Junjie, LIAN Xiaomin. Multi-aperture far-field acoustic holography method for improving imaging resolution[J]. ACTA ACUSTICA, 2018, 43(1): 76-82. DOI: 10.15949/j.cnki.0371-0025.2018.01.009
    [2]HE Zuoyong, HE Yuanan, WANG Man. The investigation on the physical acoustics problems of the NAH technique and its application[J]. ACTA ACUSTICA, 2007, 32(2): 137-143. DOI: 10.15949/j.cnki.0371-0025.2007.02.007
    [3]MAA Dah-You. Mathematics but no physics——Morse theory of forced vibration in a room[J]. ACTA ACUSTICA, 2004, 29(1): 1-5. DOI: 10.15949/j.cnki.0371-0025.2004.01.001
    [4]YU Fei, CHEN Jian, CHEN Xinzhao. Sound field separation technique with double holographic planes and its applications in acoustic holography[J]. ACTA ACUSTICA, 2003, 28(5): 385-389. DOI: 10.15949/j.cnki.0371-0025.2003.05.001
    [5]HE Yuanan, HE Zuoyong. Full spatial transformation of sound field based on planar acoustic holography: I. Principle and algorithm[J]. ACTA ACUSTICA, 2002, 27(6): 507-512. DOI: 10.15949/j.cnki.0371-0025.2002.06.006
    [6]ZHANG Dejun, ZHU Nianqiu, CHENG Jianzheng, XIA Xianhua, WANG Qun, YAN Jin. Experimental research on vibrating objects and its radiation field using near-field acoustic holography[J]. ACTA ACUSTICA, 1995, 20(4): 250-255. DOI: 10.15949/j.cnki.0371-0025.1995.04.003
    [7]ZHANG Bao-cheng. SUPERRESOLUTION PROCESSING FOR ACOUSTIC HOLOGRAPHIC IMAGING[J]. ACTA ACUSTICA, 1985, 10(4): 231-239. DOI: 10.15949/j.cnki.0371-0025.1985.04.004
    [8]ZHANG BAO-CHENG. THE RELATION BETWEEN THE REAL PART AND THE IMAGINARY PART OF COMPLEX HOLOGRAPHIC FUNCTION IN ACOUSTIC HOLOGRAPHIC ARRAY IMAGING[J]. ACTA ACUSTICA, 1983, 8(5): 311-317. DOI: 10.15949/j.cnki.0371-0025.1983.05.007
    [9]ZHOU Zhi-qing. A METHOD OF DETERMINING THE OBJECT POSITION FROM ACOUSTICAL HOLOGRAMS[J]. ACTA ACUSTICA, 1981, 6(2): 110-113. DOI: 10.15949/j.cnki.0371-0025.1981.02.006
    [10]Zhou Jing-hua, Sun Zeng-ming, Zhang Shou-yu, Zhong Gao-qi, Pei Li-wei, Cheng Jia-zheng, Zeng Xin-ruo. ULTRASONIC HOLOGRAPHY IMAGING BY LIQUID SURFACE METHOD ——THEORETICAI ANAIYSES AND EXPERIMENTAI RESUITS[J]. ACTA ACUSTICA, 1979, 4(1): 52-64. DOI: 10.15949/j.cnki.0371-0025.1979.01.007

Catalog

    Article Metrics

    Article views (32) PDF downloads (7) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return