İntermodülasyon Distorsiyonun Kaos Ve Kazanç İlişkisi

Öz

Bu çalışmada doğrusal olmayan optoelektronik geribeslemeli lazer diyot sistemi için dört ton girişli küçük
işaret analizi yapılmıştır. Analizde, Volterra güç serisi ikinci dereceye kadar açılarak, ikinci çekirdek (Z2) çıkışı
için intermodülasyon distorsiyon (IMD) analizi gerçekleştirilmiştir. Analiz için alternatif IMD frekans bileşenleri seçilmiştir. Bunlar:  0 1 0 1  1.   ), (  ,   0 2 0 2 2.   ),(  ,   3. 0 3 ), (0 3 ve   0 4 0 4 4.   ),(  IMD frekans bileşenleridir. Bu IMD frekanslarının genliklerinin, zaman gecikme sabiti ( 0 t ), geri besleme kazanç sabiti (K) ya bağlı olarak analizi yapılmış ve kritik çökme frekansları (coherence collapse, kaos) ve geri besleme değerleri de tespit edilmiştir.

Anahtar Kelimeler

• Lazer diyot, Volterra serisi, İntermodülasyon, Harmonik distorsiyon, Doğrusal olmayan distorsiyon, Optoelektronik geribesleme, Elektronik geribesleme, Kaos, Kazanç , Doğrusal olmayan geribesleme

Kaynakça

1. Schetzen, M. and Yildirim,R. “System Theory of
2. the Single-mode Laser-diode” Opt. Commun,
3. 341-350, 2003.
4. Yildirim, R. and Schetzen,M. “ Application of
5. the Single–mode Laser Diode System Theory”
6. Opt. Commun, 219, 351-355, 2003.
7. Aydin, E. and Yildirim,R. ”Optimizing the
8. Performance of Single-mode Laser Diode

9. System Using Genetic Algorithm”, Optics and
10. Lasers in Eng.42 July pp 41-46, 2004.
11. Çelebi, F.V., Yıldırım, R. “Çelebi, F.V.,
12. Yıldırım, R., “ Distortion System Theory Of
13. The Two Tone Small Signal Input Laser Diode”
14. J. Fac. Eng. Archit. Gazi Univ. Vol 20, No 3,
15. -377, 2005.
16. Yıldırım, R. “Intermodulation Distortion System
17. Theory Of The Three-Tone Small Signal Input
18. Laser Diode With Non-Linear Optoelectronic
19. Feedback “ J. Fac. Eng. Archit. Gazi Univ.
20. Vol 22, No 2, pp 417-430, 2007.
21. M. Schetzen, R. Yildirim, F.V. Celebi
22. “Intermodulation Distortion Of The Single-
23. Mode Laser-Diode “ Appl Phys B 93: 837–
24. , 2008
25. Yıldırım, R. “ Selection Of Frequency Components
26. For Symmetric And Asymmetric Communication
27. Systems ” J. Fac. Eng. Arch. Gazi
28. Univ Vol 23, No 2, pp 329-341, 2008.
29. Celebi, F.V., Yildirim, R., Gergerli, B., Gokrem,
30. L., “Alternative intermodulation frequency
31. components”, International Conference on
32. Application of Information and
33. Communication Technologies, AICT 2009 ,
34. , 2009.
35. Celebi, F.V., Yildirim, R., “Determination of
36. intermodulation distortion using a different
37. approach”, Proceedings of SPIE - The
38. International Society for Optical Engineering
39. , pp. 184-186, 2002.
40. Yildirim, R., Danisman, K., Celebi, F. V., Ozek,
41. A., “Role of optical feedback for controlling
42. chaotic cases in semiconductor laser diodes”,
43. Proceedings of SPIE - The International
44. Society for Optical Engineering, 3491 , pp.
45. -123, 1998.
46. Yildirim, R., Celebi, F.V., “Design of a Chaotic
47. Optical Communication System by using
48. RAMAN with Noise Addition Technique”
49. Proceedings of SPIE - The International
50. Society for Optical Engineering 5662 , art. no.
51. , pp. 389-394, 2004
52. Yildirim, R., Yavuzcan, H.G., Çelebi, F.V.,
53. Gokrem, L., “Temperature dependent Rolletti
54. stability analysis of GaN HEMT”
55. Optoelectronics and Advanced Materials,
56. Rapid Communications 3 (8) , pp. 781-786,
57. -
58. Celebi F.V., “A different approach to gain
59. computation in laser diodes with respect to
60. different number of quantum-wells” Optik 116
61. (8): 375-378, 2005
62. Yildirim, R., Çelebi, F.V., Yavuzcan, H.G.,
63. Gökrem, L., “Asymmetric condition computed
64. from the four tone input GaN HEMT”
65. International Conference on Application of
66. Information and Communication
67. Technologies, AICT 2009 , 5372485, 2009
68. Yıldırım, R., Çelebi, F.V. “ The Computation
69. Of The Angle Between The Gain And Photon
70. Population By Geometrical Approach” J. Fac.
71. Eng. Archit. Gazi Univ Vol 24, No 4, pp 709–
72. , 2009.
73. Yıldırım, R., Çelebi, F.V. “Harmonic Amplitude
74. Control In Laser Diodes With Non-Linear Feedback” J. Fac. Eng. Archit. Gazi Univ. Vol
75. , No 1, pp 163–170, 2010.
76. Yıldırım, R., “ Relative Intensity Noise System
77. Theory Of The Laser Diode With Non-Linear
78. Optical Feedback “ J. Fac. Eng. Archit. Gazi
79. Univ. Vol 21, No 3, pp 575-580, 2006.
80. Yiǧit, S., Eryiǧit, R., Çelebi, F.V., “Optical gain
81. model proposed with the use of artificial neural
82. networks optimised by artificial bee colony
83. algorithm”, Optoelectronics and Advanced
84. Materials, Rapid Communications, 5
85. (9):1026-1029, 2011.
86. Çelebi, F.V., Altindag, T., “An accurate optical
87. gain model using adaptive neurofuzzy inference
88. system”, Optoelectronics and Advanced
89. Materials, Rapid Communications 3 (10):
90. -977, 2009.
91. Yucel, M., Goktas, H.H., Celebi, F.V.
92. “Temperature independent length optimization
93. of L-band EDFAs providing flat gain”, Optik,
94. (10):872-876, 2011.
95. Çelebi, F.V., “Modeling of the linewidth
96. enhancement factors of the narrow and wide
97. GaAs well semiconductor lasers”, Journal of
98. the Faculty of Engineering and Architecture
99. of Gazi University 21 (1) :161-166, 2006.
100. Celebi, F.V., Yucel, M., Goktas, H.H., “Fuzzy
101. logic based device to implement a single CAD
102. model for a laser diode based on characteristic
103. quantities”, Optik 123 (6) : 471-474, 2012.
104. Ohtsu, M. and S.Kotajima, “Linewidth
105. Reduction of a Semiconductor Laser by
106. Electrical Feedback” IEEE J.QE. Vol:21, pp
107. - 1912, 1985.
108. Sharaf, K. and Ibrahim,M.M “The Effect of
109. Electronics Feedback on Semiconductor Lasers”
110. IEEE J.QE. Vol:26, pp 1347- 1352 ,1990.
111. Saboureau, P., Foing J.P. and Schanne, P.
112. “Injection-locked Semiconductor Lasers with
113. Delayed Optoelectronic Feedback” IEEE J.QE.
114. Vol:30, pp 1582- 1591, 1997
115. Fukushima, T. and Sakamoto, T. “Chaos in
116. Coupled Semiconductor Lasers with an
117. Electronic Delayed Feedback Caused by
118. Injection Locking” IEEE J.QE. Vol:34, pp 750-
119. ,1998
120. Grigorieva,E.V., Haken H. and Kaschenko, S.A.
121. “Theory of Quasiperiodicity in Model of Lasers
122. with Delayed optoelectronic Feedback” Optics
123. Comm. Vol:165 pp 279- 292, 1999
124. Giacomeli, G. M. Calzavara and Arecchi, F.T.
125. “Instabilities in a Semiconductor Laser with
126. Delayed Optoelectronic Feedback” Optics
127. Comm. Vol:74 pp 97- 101, 1989
128. Lee,C.H., Shin,S.Y. “Selfpulsing, Spectral
129. Bistability, and Chaos in a Semiconductor Laser
130. Diode with Optoelecronic Feedback” Appl
131. Phys. Lett. Vol:62, pp 922- 924, 1993
132. Loiko, N.A. and Samson, A.M. “Possible
133. Regimes of Generation of a Semiconductor Laser with a Delayed Optoelectronic Feedback”
134. Optics Comm. Vol:93 pp 66- 72 Sept. 1992
135. H. D.I. Abarbanel, M. B. Kennel, l. Illing, H.F.
136. Chen, and J.M. Liu, “Synchronization and
137. Communication Using Semiconductor Lasers
138. with Optoelectronic Feedback” IEEE J.QE.
139. Vol:37, pp 1301- 1311, Oct. 2001
140. Tang, S. and Liu, J.M. “Chaotic Pulsing and
141. Quasi-Periodic Route to Chaos in a
142. Semiconductor with Delayed Optoelectronic
143. Feedback” IEEE J.QE. Vol:37, pp 1301- 1311,
144. March 2001
145. Hassine, L. et al., “Volterra Functional Series
146. Expansions for Semiconductor Lasers Under
147. Modulation” IEEE Journal of Quantum
148. Electronics, Vol 30, No 4, pp. 918-928, April
149. ,.
150. Tucker, R.S. “High-Speed Modulation of
151. Semiconductor Lasers,” J. Lightwave Tech.
152. LT-3, No. 6, pp. 1180-1192, Dec. 1985
153. Olshansky, Lanzisa, R. V. W.V. Powazinik,
154. “Universal Relationship Between Resonant
155. Frequency and Damping Rate of 1.3 m InGaAsP Semiconductor Laser” Apl. Phys.
156. Letters., 50 (11) , pp.653-655,1987
157. Gökrem, Levent, Çelebi, Fatih V. Yıldırım,
158. Remzi. “Asymmetric Amplitude Variation For
159. Four Tone Small Signal Input Gan Hemt At Different
160. Temperatures” J. Fac. Eng. Archit. Gazi
161. Univ. Vol 25, No 4, pp 779-786, 2010
162. Schetzen, M. “The Volterra and Wiener
163. Theories of Nonlinear Systems”, Malabar,
164. Fla., R.E. Krieger Publishing Co., 2006, reprint
165. edition with additional material
166. Bussgang, J.J. and Ehrman, L., “Analysis of
167. Nonlinear Systems with Multiple Inputs” Proc.
168. IEEE Vol:62, pp. 1088-1119, 1974.
169. Bedrosian, E. and Rice,S.O. “The Output
170. Properties of Volterra Systems (Nonlinear
171. Systems with Memory) Driven by Harmonic and
172. Gaussian Inputs”, Proc. IEEE Vol:59,
173. pp.1688-1707, Dec. 1971.
174. Weiner, D.D. and .Spina, J.E “Sinusoidal
175. Analysis and Modeling of Weakly Nonlinear
176. Circuits”, Van Nostrand Reinhold Comp.1980,
177. New York.