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In order to reduce the influences of misalignment parameter and mismatch parameter on measurement based on optical resonator, the influence on the coupling efficiency of a source laser is stabilized to a fundamental cavity mode, and two limiting cases are analyzed and derived by using conversion of Gaussian beam, mode coupling theory and coordinate transformation theory, including the expression of coupling efficiency of fundamental cavity mode as two limiting cases emerge simultaneously. Analyses show that for mismatch parameter, only even-indexed Hermite-Gaussians beam is excited; for misalignment parameter, there exists an effect on the proportion of Hermite-Gaussians beam, which should bring about serious measurement error. These optical signals provide the error signals which are minimized. By taking the laser line width into account, we propose two methods for real time alignment of a Gaussian beam for an optical resonator perfectly coupled system: Fabry-Perot electro-optic sensors of a misadjusted system and control loops system depends on detecting emergent light of cavity via multi-dimensional quadrant detector. All of these will provide a theoretical direction for analyzing the measurement error and improving the measurement accuracy.
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Keywords:
- optical measurement /
- optical resonator /
- mode mismatch /
- optic axis misalignment
[1] Zhou B K, Gao Y Z, Chen T R, Chen J H 2012 Laser Principle (Vol. 6) (Beijing: National Defense Industry Press ) pp29-74 (in Chinese) [周炳琨, 高以智, 陈倜嵘, 陈家骅 2012 激光原理 (第六版) (北京: 国防工业出版社) 第2974页]
[2] Li B C, Gong Y 2010 US Patent 7 679 750 B2 [2010-03-16]
[3] Gong Y, Li B C, Han Y L, Liu M Q 2008 Proc. SPIE 7132 71320U
[4] Qu Z C, Han Y L, Xiong S M, Li B C 2011 Proc. SPIE 8190 81901C
[5] Rothman L S, Gordon I E, Barbe A, Chris Benner D, Bernath P F, Birk M, Boudon V, Brown L R, Campargue A, Champion J P, Chance K, Coudert L H, Dana V, Devi V M, Fally S, Flaud J M, Gamache R R, Goldman A, Jacquemart D, Kleiner I, Lacome N, Lafferty W J, Mandin J Y, Massie S T, Mikhailenko S N, Miller C E, Moazzen-Ahmadi N, Numenko O V, Nikitiin A V, Orphal J, Perevalov V I, Perriin A, Predoi-Cross A, Rinsland C P, Rotger M, Simeckova M, Smith M A H, Sung K, Tashkun S A, Tennyson J, Toth R A, Vandaele A C, van der Auwera J 2009 J. Quant. Spectrosc. Radiative Transfer 110 533
[6] Maisons G, Carbajo P G, Carras M, Romanini D 2010 Opt. Lett. 35 3607
[7] Chen Y U, Yan W B 2007 Proc. SPIE 6756 675607
[8] Thorpe M J, Hudson D D, Moll K D, Lasri J, Ye J 2007 Opt. Lett. 32 307
[9] Keefe A O, Deacon D A 1988 Rev. Sci. Instrum. 59 2544
[10] Romanini D, Kachanov A A, Laboratoire E S 1997 Chem. Phys. Lett. 270 546
[11] Siegman A E 1986 Laser (Mill Valley: University Science Book) p267
[12] Klaassen T, de Jong J, van Exter M, Woerdman J P 2005 Opt. Lett. 30 1959
[13] Dong Y H, Ding Y G, Xiao L 2005 Acta Phys. Sin. 54 5629 (in Chinese) [董玉和, 丁耀根, 肖刘 2005 物理学报 54 5629]
[14] Yi H Y 2006 Chin. J. Lasers 33 399 (in Chinese) [易亨瑜 2006 中国激光 33 399]
[15] Tan Z Q, Long X W 2007 Chin. J. Lasers 34 962 (in Chinese) [谭中奇, 龙兴武 2007 中国激光 34 962]
[16] Wang J, Lu E, Wang J Q 1999 Opt. Precision Eng. 7 48 (in Chinese) [王俊, 卢锷, 王家骐1999光学精密工程7 48]
[17] Sayeh M R, Bilger H R, Habib T 1985 Appl. Opt. 24 3756
[18] Gwenal G, Guillermo M, Coutaz J L, Duvillaret L, Kassi S, Romanini D 2007 Appl. Opt. 46 2001
[19] Fang H L 1979 Acta Phys. Sin. 28 430 (in Chinese) [方洪烈 1979 物理学报 28 430]
[20] Sampas M N, Anderson D Z 1990 Appl. Opt. 29 394
[21] Zare R N, Harb C C, Paldus B A, Spence T G 2003 US Patent 6 532 071 B2 [2003-03-11]
[22] Zare R N, Harb C C, Spence T G 2000 US Patent 6 084 682 [2000-07-04]
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[1] Zhou B K, Gao Y Z, Chen T R, Chen J H 2012 Laser Principle (Vol. 6) (Beijing: National Defense Industry Press ) pp29-74 (in Chinese) [周炳琨, 高以智, 陈倜嵘, 陈家骅 2012 激光原理 (第六版) (北京: 国防工业出版社) 第2974页]
[2] Li B C, Gong Y 2010 US Patent 7 679 750 B2 [2010-03-16]
[3] Gong Y, Li B C, Han Y L, Liu M Q 2008 Proc. SPIE 7132 71320U
[4] Qu Z C, Han Y L, Xiong S M, Li B C 2011 Proc. SPIE 8190 81901C
[5] Rothman L S, Gordon I E, Barbe A, Chris Benner D, Bernath P F, Birk M, Boudon V, Brown L R, Campargue A, Champion J P, Chance K, Coudert L H, Dana V, Devi V M, Fally S, Flaud J M, Gamache R R, Goldman A, Jacquemart D, Kleiner I, Lacome N, Lafferty W J, Mandin J Y, Massie S T, Mikhailenko S N, Miller C E, Moazzen-Ahmadi N, Numenko O V, Nikitiin A V, Orphal J, Perevalov V I, Perriin A, Predoi-Cross A, Rinsland C P, Rotger M, Simeckova M, Smith M A H, Sung K, Tashkun S A, Tennyson J, Toth R A, Vandaele A C, van der Auwera J 2009 J. Quant. Spectrosc. Radiative Transfer 110 533
[6] Maisons G, Carbajo P G, Carras M, Romanini D 2010 Opt. Lett. 35 3607
[7] Chen Y U, Yan W B 2007 Proc. SPIE 6756 675607
[8] Thorpe M J, Hudson D D, Moll K D, Lasri J, Ye J 2007 Opt. Lett. 32 307
[9] Keefe A O, Deacon D A 1988 Rev. Sci. Instrum. 59 2544
[10] Romanini D, Kachanov A A, Laboratoire E S 1997 Chem. Phys. Lett. 270 546
[11] Siegman A E 1986 Laser (Mill Valley: University Science Book) p267
[12] Klaassen T, de Jong J, van Exter M, Woerdman J P 2005 Opt. Lett. 30 1959
[13] Dong Y H, Ding Y G, Xiao L 2005 Acta Phys. Sin. 54 5629 (in Chinese) [董玉和, 丁耀根, 肖刘 2005 物理学报 54 5629]
[14] Yi H Y 2006 Chin. J. Lasers 33 399 (in Chinese) [易亨瑜 2006 中国激光 33 399]
[15] Tan Z Q, Long X W 2007 Chin. J. Lasers 34 962 (in Chinese) [谭中奇, 龙兴武 2007 中国激光 34 962]
[16] Wang J, Lu E, Wang J Q 1999 Opt. Precision Eng. 7 48 (in Chinese) [王俊, 卢锷, 王家骐1999光学精密工程7 48]
[17] Sayeh M R, Bilger H R, Habib T 1985 Appl. Opt. 24 3756
[18] Gwenal G, Guillermo M, Coutaz J L, Duvillaret L, Kassi S, Romanini D 2007 Appl. Opt. 46 2001
[19] Fang H L 1979 Acta Phys. Sin. 28 430 (in Chinese) [方洪烈 1979 物理学报 28 430]
[20] Sampas M N, Anderson D Z 1990 Appl. Opt. 29 394
[21] Zare R N, Harb C C, Paldus B A, Spence T G 2003 US Patent 6 532 071 B2 [2003-03-11]
[22] Zare R N, Harb C C, Spence T G 2000 US Patent 6 084 682 [2000-07-04]
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