FRACTALS FOR ELECTRONIC APPLICATIONS

More documents

Recommendations

Info

• These "broken curves" have been used to explain naturally-occurring phenomenon such as lightning, galactic clusters and clouds. Many computer-image compression schemes are based on fractals. Until recently, however, there have been few hardware applications of fractal geometry. August 18th, 2006 Fractals for electronic applications Maciej J. Ogorzałek
Physical relations for capacitors Both electrodes have a surface A (in m 2 ) separated by distance d (in m). The applied voltage ΔU (in Volt) creates an electric field E = ΔU/d storing the electrical energy. Capacitance C in Farad (F) and stored energy J in Ws is: where ε r (e.g. 1 for vacuum or 81 for water) is the relative dielectric constant which depends on the material placed between the two electrodes and ε 0 = 8.85·10 -12 F/m is a fundamental constant. August 18th, 2006 Fractals for electronic applications Maciej J. Ogorzałek
Page 1 and 2: FRACTALS FOR ELECTRONIC APPLICATION
Page 3 and 4: Fractal - “broken, fragmented, ir
Page 5 and 6: August 18th, 2006 Fractals for elec
Page 7 and 8: • For a square we have N^2 self-s
Page 9 and 10: Helge von Koch Snowflake • Step O
Page 11 and 12: • Named for Polish mathematician
Page 13 and 14: Sierpinski Chaos Game August 18th,
Page 15 and 16: Sierpinski Chaos Game Fractal dimen
Page 17: In 3-D3 August 18th, 2006 Fractals
Page 21 and 22: How to create capacitors with large
Page 23 and 24: • a) Micrograph of a cross sectio
Page 25 and 26: • Supercapacitor module for HY-LI
Page 41 and 42: Open problems • Theoretical issue
Page 43 and 44: fractal antenna is an antenna that
Page 57 and 58: John Gianvittorio - UCLA August 18t
Page 63 and 64: Fractal Antenna • Practical shrin
Page 65 and 66: FRACTAL AND SPACE-FILLING TRANSMISS
Page 67 and 68: Visualization of antenna (the brown
Page 69 and 70:
August 18th, 2006 Fractals for elec
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85:
show all

FRACTALS FOR ELECTRONIC APPLICATIONS

Create successful ePaper yourself

Delete template?

Save as template?