RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1993

 / 

January

←  →

Reviews of topical problems


Propagation and transformation of electromagnetic waves in one-dimensional periodic structures

,

Different analytic methods (perturbation theory in the Born approximation and under Bragg reflection, as well as coupled-wave theory and its modifications) are used to derive and discuss approximate analytic expressions for electromagnetic wave fields in bounded one-dimensional periodic dielectric structures and the corresponding reflection coefficients. The range of validity of each of the analytic solutions is established and it is shown that the modified coupled-wave method, which is valid simultaneously for large and small modulation periods and appreciable modulation depths, has the widest range of validity. The method is used to calculate the reflection coefficients of such structures as functions of the incident-wave frequency, taking into account the finite size of the structures, the properties of the ambient media, absorption, and small nonlinearity and aperiodicity.

Fulltext pdf (1.2 MB)
Fulltext is also available at DOI: 10.1070/PU1993v036n01ABEH002061
PACS: 41.20.Jb
DOI: 10.1070/PU1993v036n01ABEH002061
URL: https://ufn.ru/en/articles/1993/1/a/
Citation: Karpov S Yu, Stolyarov S N "Propagation and transformation of electromagnetic waves in one-dimensional periodic structures" Phys. Usp. 36 (1) 1–22 (1993)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Карпов С Ю, Столяров С Н «Распространение и преобразование волн в средах с одномерной периодичностью» УФН 163 (1) 63–89 (1993); DOI: 10.3367/UFNr.0163.199301b.0063

References (61) ↓ Cited by (56) Similar articles (20)

  1. Krönig R and W G Penney Proc. R. Soc. London A13 499 (1930)
  2. Shik A Ya Fiz. Tekh. Poluprovodn. 8 1841 (1974); Shik A Ya Sov. Phys. Semicond. 8 1195 (1974); Golubev L V and E I Leonov Superlattices [in Russian] (M., 1977)
  3. Silin A P Usp. Fiz. Nauk 147 485 (1985); Silin A P Sov. Fiz. Usp. 28 972 (1985); Andryushin E A and A A Bykov Sov. Fiz. Usp. 154 122 (1988); Silin A P Usp. Fiz. Nauk 147 485 (1985); Silin A P Sov. Fiz. Usp. 28 972 (1985); Andryushin E A and A A Bykov Sov. Fiz. Usp. 31 68 (1988)
  4. Collier R J, C B Burckhardt, and L H Lin Optical Holography (Academic Press, N.Y., 1971); Russ. transl., Collier R J, C B Burckhardt, and L H Lin Optical Holography (Mir, M., 1973)
  5. Miler M Holography. Theory, Experiment, And Applications [in Russian] (Mashinostroeniye, M., 1979)
  6. Gulyaev Yu V, V V Proklov, and G N Shkerdin Usp. Fiz. Nauk 124 61 (1978); Gulyaev Yu V, V V Proklov, and G N Shkerdin Sov. Fiz. Usp. 21 29 (1978)
  7. Yakovkin I B and D V Petrov Diffraction Of Light By Surface Acoustic Waves [in Russian] (Nauka, Siberian Division, Novosibirsk, 1979)
  8. Tamir T (ed) Integrated Optics (Springer-Verlag, Berlin, 1979); Russ. transl., Tamir T (ed) Integrated Optics (Mir, M., 1978)
  9. Barnoski M K Fundamentals Of Optical Fiber Communications (Academic Press, N.Y., 1976); Russ. transl., Barnoski M K Fundamentals Of Optical Fiber Communications (Mir, M., 1980)
  10. Hunsperger R G Integrated Optics: Theory And Technology (Springer-Verlag, Berlin, 1984); Russ. transl., Hunsperger R G Integrated Optics: Theory And Technology (Mir, M., 1985)
  11. Pinsker Z G Dynamical Scattering Of X-rays In Crystals (Springer-Verlag, Berlin, 1978); Russ. original, Pinsker Z G Dynamical Scattering Of X-rays In Crystals (Nauka, M., 1974)
  12. Andreev A N Usp. Fiz. Nauk 145 113 (1985); Andreev A N Sov. Fiz. Usp. 28 70 (1985)
  13. Brillouin L Wave Propagation In Periodic Structures (Dover, N.Y., 1953); Russ. transl., Brillouin L Wave Propagation In Periodic Structures (IL, M., 1959)
  14. Elachi C Proc. IEEE 64 1666 (1976); Elachi C TIIÉR 64 ((12)) 22 (1976)
  15. Whittaker E and G N Watson A Course Of Modern Analysis (Cambridge University Press, Cambridge, 1927); Russ. transl., Whittaker E and G N Watson A Course Of Modern Analysis (GIFML, M.) Chapter 19 (1963), Part 2
  16. Rabinovich M I and D I Trubetskov Introduction To The Theory Of Oscillations And Waves [in Russian] (Nauka, M.) Chapter 11 (1984)
  17. Born M and E Wolf Principles Of Optics (Pergamon Press, Oxford, 1970); Born M and E Wolf Principles Of Optics (1980); Russ. transl. of, Born M and E Wolf Principles Of Optics an earlier ed. (Nauka, M., 1973)
  18. McLachlan N W Theory And Application Of Mathieu Functions (Clarendon Press, Oxford, 1947); Russ. transl., McLachlan N W Theory And Application Of Mathieu Functions (IL, M., 1953)
  19. Vinogradova M B, O V Rudenko, and A P Sukhorukov Theory Of Waves [in Russian] (Nauka, M.) Chapter IV (1979)
  20. Tamir T, H C Wang, and A A Oliner IEEE Trans. MTT-12 324 (1964)
  21. Jaggard D L and C Elachi J. Opt. Soc. Am. 66 674 (1976)
  22. Su S F and T K Gaylord J. Opt. Soc. Am. 65 59 (1975)
  23. Beularbi B, D J Cooke, and L Solimar Optica Acta 27 885 (1980)
  24. Yariv A and Rochi Yeh Optical Waves In Crystals (Wiley, N. Y., 1984); Russ. transl., Yariv A and Rochi Yeh Optical Waves In Crystals (Mir, M., 1987)
  25. Gaylord T K and M G Moharam Proc. IEEE 73 894 (1985); Gaylord T K and M G Moharam TIIÉR 73 ((5)) 53 (1985)
  26. Vaganov R B and B Z Katsenelenbaum Fundamentals Of The Theory Of Diffraction [in Russian] (Nauka, M., 1982), IV
  27. Karpov S Yu, O V Konstantinov, and M E Ratkh Fiz. Tverd. Tela (Leningrad) 22 3402 (1980); Karpov S Yu, O V Konstantinov, and M E Ratkh Sov. Phys. Solid State 22 1991 (1980)
  28. Kogelnik H Bell Syst. Tech. J. 48 ((9)) 2909 (1969)
  29. Martynov N N and S N Stolyarov Kvant. Elektron. (Moscow) 5 1853 (1978); Martynov N N and S N Stolyarov Sov. J. Quantum Electron. 1056 (1978)
  30. Martynov N N Kvant. Elektron. (Moscow) 6 1798 (1979); Martynov N N Sov. J. Quantum Electron. 9 1062 (1979)
  31. Martynov N N Radiotekh. Elektron. 25 1851 (1980); Martynov N N Radio. Eng. Electron. Phys. (USSR) 25 (1980)
  32. Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Pergamon Press, Oxford, 1970); Russ. original, Ginzburg V L The Propagation Of Electromagnetic Waves In Plasmas (Nauka, M., 1967)
  33. Bogoliubov N N and Yu A Mitropolsky Asymptotic Methods In The Theory Of Nonlinear Oscillations (Gordon and Breach, N. Y., 1964); Bogoliubov N N and Yu A Mitropolsky Asymptotic Methods In The Theory Of Nonlinear Oscillations (1985); Russ. original, Bogoliubov N N and Yu A Mitropolsky Asymptotic Methods In The Theory Of Nonlinear Oscillations (Nauka, M., 1963); Russ. original, Bogoliubov N N and Yu A Mitropolsky Asymptotic Methods In The Theory Of Nonlinear Oscillations (Nauka, M., 1974)
  34. Nayfeh A H Introduction To Perturbation Techniques (Wiley-Interscience, N. Y., 1981); Russ. transl., Nayfeh A H Introduction To Perturbation Techniques (Mir, M., 1984)
  35. Kom G A and T M Kom Mathematical Handbook For Scientists And Engineers (McGraw-Hill, N. Y., 1961); Kom G A and T M Kom Mathematical Handbook For Scientists And Engineers (McGraw-Hill, N. Y., 1968); Russ. transl., Kom G A and T M Kom Mathematical Handbook For Scientists And Engineers (Nauka, M., 1968); Russ. transl., Kom G A and T M Kom Mathematical Handbook For Scientists And Engineers (Nauka, M., 1970)
  36. Rytov S M Izv. Vyssh. Uchebn. Zaved., Fiz. 2 223 (1937)
  37. Klyatskin V I and K V Kosheľ Zh. Eksp. Teor. Fiz. 84 2092 (1983); Klyatskin V I and K V Kosheľ Sov. Phys. JETP 57 1217 (1983)
  38. Zhilyaev Yu V, O V Konstantinov, and M M Panakhov Fiz. Tverd. Tela (Leningrad) 19 1798 (1977); Zhilyaev Yu V, O V Konstantinov, and M M Panakhov Sov. Phys. Solid State 19 1049 (1977)
  39. Gurevich S A, S Yu Karpov, and E L Porshno&ibreve;, Pis’ma Zh Tekh. Fiz. 10 945 (1984); Gurevich S A, S Yu Karpov, and E L Porshno&ibreve;, Pis’ma Zh Sov. Tech. Phys. Lett. 10 396 (1984)
  40. Gurevich S A, S Yu Karpov, and E L Porshno&ibreve; Sov. Tech. Phys. Lett. 11 989 (1985); Gurevich S A, S Yu Karpov, and E L Porshno&ibreve; Sov. Tech. Phys. Lett. 11 409 (1985)
  41. Abramowitz M and I A Stegun Handbook Of Mathematical Functions (Dover, 1965); Russ. original, Abramowitz M and I A Stegun Handbook Of Mathematical Functions (Nauka, M., 1979)
  42. Konstantinov O V and M E Ra&ibreve;kh Zh. Tekh. Fiz. 49 703 (1979); Konstantinov O V and M E Ra&ibreve;kh Sov. Phys. Tech. Phys. 24 408 (1979)
  43. Winful H G, J H Marburger, and E Garmire Appl. Phys. 35 379 (1979)
  44. Voloshchenko Yu, Yu N Ryzhov, and V E Sotin Zh. Tekh. Fiz. 51 902 (1981); Voloshchenko Yu, Yu N Ryzhov, and V E Sotin Sov. Phys. Tech. Phys. 26 541 (1981)
  45. Wu S M and C C Shin Phys. Rev. A 32 3736 (1985)
  46. Ignatovich V K Usp. Fiz. Nauk 150 145 (1986); Ignatovich V K Sov. Fiz. Usp. 29 880 (1986)
  47. Belyakov V A Diffraction Optics Of Periodic Media With Complex Structure [in Russian] (Nauka, M., 1988)
  48. Bass F G, A A Bulgakov, and A P Tetervov High-Frequency Properties Of Semiconductors With Superlattices [in Russian] (Nuaka, M., 1989)
  49. Belyakov V A and A S Sonin Optics Of Cholesteric Liquid Crystals [in Russian] (Nauka, M., 1982)
  50. Eritsyan O S Optics Of Gyrotropic Media And Cholesteric Liquid Crystals [in Russian] (Aiastan, Erevan, 1988)
  51. Belyakov V A and V E Dmitrienko Soviet Physics Reviews part. 1 13 (1989)
  52. Brekhovskikh L M Waves In Layered Media (Academic Press, N.Y., 1960); Russ. original, Brekhovskikh L M Waves In Layered Media (Nauka, M., 1957); Russ. original, Brekhovskikh L M Waves In Layered Media (Nauka, M., 1973)
  53. Stolyarov S N Bragg Wave Transformation In One-Dimensional Periodic Structures, Including Higher Perturbation- Theory Orders [in Russian] (MFTLM., 1989) p. 37–41
  54. Stolyarov S N Pulsed Lasers And Their Applications [in Russian] (MFTI, M., 1988) p. 120–122
  55. Stolyarov S N Optical And Electronic Methods Of Data Processing [in Russian] (MFTI, M., 1990) p. 85–90
  56. Bolotovskff B M, V E Voloveľskii, N N Martynov, and S N Stolyarov Preprint FIAN [in Russian], No. 101 (M., 1989)
  57. Bolotovskil B M and S N Stolyarov Usp. Fiz. Nauk 159 155 (1989); Bolotovskil B M and S N Stolyarov Sov. Phys. Usp. 32 813 (1989)
  58. Voloveľski V E&ibreve; Thesis [in Russian] (MGTU, M., 1990)
  59. Martynov N N Thesis [in Russian] (MFTI, M., 1979)
  60. Stolyarov S N Kratk. Soobshch. Fiz. 6 21 (1989); Stolyarov S N Sov. Phys. Lebedev Inst. Rep. (6) (1987); Stolyarov S N Kvant. Elektron. (Moscow) 15 1637 (1988); Stolyarov S N Sov. J. Quantum Electron. 15 1021 (1988)
  61. Landau L D and E M Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon Press, Oxford, 1977); Russ. original, Landau L D and E M Lifshitz, Quantum Mechanics: Non-Relativistic Theory (GIFML, M., 1963)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions