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Azimuthal Walsh Filters: A Tool to Produce 2D and 3D Light Structures 1st ed. 2020 [Hardback]

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  • Formāts: Hardback, 114 pages, height x width: 235x155 mm, weight: 454 g, 91 Illustrations, color; 46 Illustrations, black and white; XII, 114 p. 137 illus., 91 illus. in color., 1 Hardback
  • Sērija : Progress in Optical Science and Photonics 10
  • Izdošanas datums: 15-Aug-2020
  • Izdevniecība: Springer Verlag, Singapore
  • ISBN-10: 9811560986
  • ISBN-13: 9789811560989
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Azimuthal Walsh Filters: A Tool to Produce 2D and 3D Light Structures 1st ed. 2020Palielināt
  • Formāts: Hardback, 114 pages, height x width: 235x155 mm, weight: 454 g, 91 Illustrations, color; 46 Illustrations, black and white; XII, 114 p. 137 illus., 91 illus. in color., 1 Hardback
  • Sērija : Progress in Optical Science and Photonics 10
  • Izdošanas datums: 15-Aug-2020
  • Izdevniecība: Springer Verlag, Singapore
  • ISBN-10: 9811560986
  • ISBN-13: 9789811560989
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9789811560989.html
This book explores the possibility of using azimuthal Walsh filters as an effective tool for manipulating far-field diffraction characteristics near the focal plane of rotationally symmetric imaging systems. It discusses the generation and synthesis of azimuthal Walsh filters, and explores the inherent self-similarity presented in various orders of these filters, classifying them into self-similar groups and sub-groups. Further, it demonstrates that azimuthal Walsh filters possess a unique rotational self-similarity exhibited among adjacent orders. Serving as an atlas of diffraction phenomena with pupil functions represented by azimuthal Walsh filters of different orders, this book describes how orthogonality and self-similarity of these filters could be harnessed to sculpture 2D and 3D light distributions near the focus. 
1 Walsh Functions, Walsh Filters and Self-Similarity
1(20)
1.1 Introduction
1(1)
1.2 One Dimensional Walsh Functions
2(1)
1.3 Two Dimensional Walsh Functions
2(1)
1.3.1 Rectangular Walsh Functions
2(1)
1.3.2 Polar Walsh Functions
3(1)
1.4 Radial Walsh Functions
3(1)
1.5 Azimuthal Walsh Functions
4(2)
1.6 Self-Similarity in Azimuthal Walsh Functions
6(12)
1.7 Walsh Filters
18(1)
1.7.1 Radial Walsh Filters
18(1)
1.7.2 Azimuthal Walsh Filters
18(1)
1.8 Self-Similarity in Azimuthal Walsh Filters
18(3)
References
19(2)
2 Transverse Intensity Distribution on the Far-Field Plane of Azimuthal Walsh Filters
21(28)
2.1 Introduction
21(1)
2.2 Analytical Formulation of Far-Field Amplitude Distribution Along an Azimuth for a Single Sector on the Exit Pupil
22(3)
2.3 Azimuthal Walsh Filters on the Exit Pupil
25(2)
2.4 Asymmetrical Amplitude Point Spread Function on the Far-Field Plane Due to Azimuthal Walsh Filter at Exit Pupil Plane
27(6)
2.4.1 Case 1: Zero Order Azimuthal Walsh Filter
28(1)
2.4.2 Case 2: First Order Azimuthal Walsh Filter
29(1)
2.4.3 Case 3: Second Order Azimuthal Walsh Filter
30(2)
2.4.4 Case 4: Third Order Azimuthal Walsh Filter
32(1)
2.5 2D Intensity Distribution on the Far-Field Plane
33(1)
2.6 Experimental Verification
34(15)
References
46(3)
3 Self-similarity in Transverse Intensity Distributions on the Far-Field Plane of Self-similar Azimuthal Walsh Filters
49(8)
3.1 Introduction
49(1)
3.2 Transverse Intensity Distributions for Zero Order Azimuthal Walsh Filter on the Far-Field Plane
50(1)
3.3 Self-similarity in Far-Field Intensity Distributions for Group I Self-similar Members of Azimuthal Walsh Filters
51(1)
3.4 Self-similarity in Far-Field Intensity Distributions for Group HA Self-similar Members of Azimuthal Walsh Filters
51(2)
3.5 Self-similarity in Far-Field Intensity Distributions for Group IIB Self-similar Members of Azimuthal Walsh Filters
53(1)
3.6 Self-similarity in Far-Field Intensity Distributions for Group IUA Self-similar Members of Azimuthal Walsh Filters
53(1)
3.7 Rotational Self-similarity Observed in 2D Transverse Intensity Distributions at Far-Field Plane for Adjacent Orders of Azimuthal Walsh Filters
54(3)
References
56(1)
4 Transverse Intensity Distribution in the Far-Field Region of Azimuthal Walsh Filters
57(34)
4.1 Introduction
57(1)
4.2 Analytical Formulation of Intensity Distribution on Axially Shifted Image Planes
57(4)
4.3 Synthesis of Azimuthal Walsh Filters Using Azimuthal Walsh Block Functions
61(5)
4.4 Evaluation of Integral Using the Concept of Concentric Equal Area Zones of Azimuthal Walsh Filters
66(2)
4.5 Illustrative Results with Discussion
68(2)
4.5.1 Intensity Distributions in the Far-Field Region for Zero Order Azimuthal Walsh Filters
68(1)
4.5.2 Intensity Distributions in the Far-Field Region for Higher Order Azimuthal Walsh Filters
69(1)
4.6 Intensity Distributions on Transverse Planes Very Near to the Focus with Azimuthal Walsh Filters
70(21)
References
90(1)
5 Self-Similarity in Transverse Intensity Distributions in the Far-Field Region of Sell-Similar Azimuthal Walsh Filters
91(22)
5.1 Introduction
91(1)
5.2 Self-Similarity in Transverse Intensity Distributions in the Far-Field Region for Group I Self-Similar Members of Azimuthal Walsh Filters
92(8)
5.2.1 Study of Self-Similarity on Transverse Image Planes Shifted Towards Right or (+)ve Side of Far-Field Plane
93(3)
5.2.2 Study of Self-Similarity on Transverse Image Planes Shifted Towards Left or (-)ve Side of Far-Field Plane
96(4)
5.3 Self-Similarity in Transverse Intensity Distributions in the Far-Field Region for Group IIA Self-Similar Members of Azimuthal Walsh Filters
100(13)
5.3.1 Study of Self-Similarity on Transverse Image Planes Shifted Towards Right or (+)ve Side of Far-Field Plane
100(2)
5.3.2 Study of Self-Similarity on Transverse Image Planes Shifted Towards Left or (-)ve Side of Far-Field Plane
102(9)
References
111(2)
6 Future Perspectives
113(1)
References 114
Dr. Indrani Bhattacharya is a Post-doctoral researcher associated with Prof. Ayan Banerjee of Light Matter Interaction Lab, Indian Institute of Science Education and Research, IISER, Kolkata and Prof. Vasudevan Lakshminarayanan of School of Optometry, University of Waterloo, Canada. She obtained her Ph.D. from the Department of Applied Optics and Photonics, University of Calcutta. Dr. Bhattacharya is having 20 years industry and 9 years of academic experience. Her research areas include Diffractive Optics, Biomimetics, Optical Tweezers, Point Spread Function Engineering, In-Vivo and In-Vitro Biomedical Applications, Optical Fibre Sensors. She is a member of Optical Society of India, International Society of Optics and Photonics, International Society of Optomechatronics.





Prof. Lakshminarayan Hazra has over four decades of academic and industrial experience. He is an Emeritus Professor and Former Head of the Department of Applied Optics and Photonics at the University of Calcutta, Kolkata, India. His areas of professional specialization include lens design/optical system design, image formation & aberration theory, diffractive optics, and optical and photonic instrumentation. He is a Fellow of the Optical Society of America, and the International Society for Optics and Photonics (SPIE). He is the Editor-in-Chief of the archival journal, Journal of Optics, (Springer) in collaboration with the Optical Society of India.