8
n ˘ Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202 ˜u|C˙1nU? -1˝˙#{ * ´² 1)2)4+ 3) ¥ 1) > 1) ol 1) $1) ¸ 1) g 1) 1) ( ˇ˘1¯E˜/, 100044 ) 2) ( 1yˇ&:¢¿, 100044 ) 3) ( 0˘nX, 0 054001 ) ( 2011 c 12 5 F´; 2012 c 2 16 F´?Uv ) J«|^|XC˙1n(U?-1+ün˝5U#{. ø« {˜k|^|XØk-11?1/, ,^C˙1nØ/1 ?1?n, ¿?n1˝?\˚ˇü1n. |^ Jones n'L², ^ø«{ 86%ı˙˝˙, 1 dB \ØAC˙1n!£N'O 60 µm, 30 µm 2.4 , ({ü, Bu, AOuı˙--1ü1n˝. ØuJp-1ı˙, U ı1k¿´. c: , |, 1/, ˝ PACS: 42.15.Eq, 42.60.By, 42.79.Ry 1 XJp-1 (LD) ¡ü1nm ˝˙·-1˜+[˜K, § =X LD 11, X LD /˙. ˝“·3 LD ¡\ LD ¡u1 ˝?\ü1n [16] . ø«{w5 {ü, B, ·Øuˆ LD 1 5, ˝˙k 40%—60%, Øu3 LD 1, ˝˙=U 30%m, Ø LD ¡¡!9ü1n\¡m39Ø£ ¡~a [711] . ˇd, ˜¿uy« Ø{ü!N˙p˝{ØuJ p LD ı˙!Uı13w%. ^/N-1ˇ~1 ¯n'Oˆ.˙.ü«. Oˆ . LD k, 3˝O¥U K, ˙. LD , ˇ~ ˜ [1215] . C˙1nkAˇ1˘A5, 3¯ 1˘+k2A^c, AO·31 /|C¡k‘, ~˝1˘ +ƒ^ [1621] . 'ØkOˆ.N- 1˚ˇü1n˝K, J«# ˝{. ø«{˜k|^|XØ LD /-11?1/, * I[g,˘˜7 (1O: 60877042, 61077069)!p˘E˜8 (1OZ2011201) 0˘EuO y (1O2011ZZ052-4) ]ˇK. E-mail: [email protected] c 2012 ¥In˘Chinese Physical Society http://wulixb.iphy.ac.cn 164202-1

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Page 1: uuu|||ÜÜÜßßß”””ƒƒƒìììCCCòòò nnn

Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

ÄÄÄuuu|||ÜÜÜßßߺºº���ìììCCCòòò���ÇÇÇ111nnnUUU???---111ìììÍÍÍÜÜÜ���ÇÇÇ���###���{{{*

ò²1)2)† 4+ 3) ¥�1) >��1) ol1)

$�¹1) ¾Ë1) g�1)

1) ( �®�Ï�Æ1ÅEâïĤ, �® 100044 )

2) ( �1�ä�y�Ï&���Ü­:¢�¿, �® 100044 )

3) ( 0�Æ�ÔnX, 0� 054001 )

( 2011 c 12 � 5 F�; 2012 c 2 � 16 F�?Uv )

JÑ�«|^|ÜߺXÚ�ìCò�Ç1n�(ÜU?-1ì+��ü��nÍÜ5U�#�{. ù«�{Äk|^|ÜߺXÚéäk�Ñ�-1ìÑÑ1å?1�/, ,�æ^ìCò�Ç1né�/��1å?1à�?n, ¿ò?n���1åÍÜ?\ÊÏü�1n. |^ Jones ÝnØ©ÛL², æ^ù«�{�±�� 86%�õÇÍÜ�Ç, 1 dB �\�ÑéA�ìCò�Ç1n�Ý!î� £Ú���N�©O� 60 µm, 30 µm

Ú 2.4◦, �(�{ü, Buö�, AO·Üu�õÇ-��-1�¬�ü�1n�ÍÜ. éuJp-1ìÑÑõÇ, Uõ1å�þäk­�¿Â.

'�c: �Ñ, |Üߺ, 1å�/, ÍÜ

PACS: 42.15.Eq, 42.60.By, 42.79.Ry

1 Ú ó

XÛJp-1ì (LD) �¡�ü�1n�m�ÍÜ�Ç´-1ìïÄ+�[ð�ïÄ�K, §Ø=��'X� LD ÑÑ1�1å�þ, ��'X� LD �¤¬Ç. ���ÍÜ�ª´3 LD �¡Ñ�à\à�ߺò LD �¡u��1åà����ÍÜ?\ü�1n [1−6]. ù«�{wå5{ü, ö��B, �´éuÃ�Ñ� LD Ñ�1å5`, ÙÍÜ�Ç�k 40%—60%, éu�3���Ñ� LD Ñ�1å ó, ÙÍÜ�Ç=�U�� 30%�m, �é LD �¡Ñ�¡!à�ߺ�å9ü�1n\�¡�m3 �9¶��é £�Ý�¡�~¯a [7−11]. Ïd, ïÄ¿uy�«ö

��é{ü!N����Çp�ÍÜ�{éuJp LD Ñ�õÇ!UõÑÑ1å�þ½3w%.

^/��N-1ìÏ~�âý�1å��ÚÅn©�OÃ�Ú.�ò�Ç�Ú.ü«. OÃ�Ú. LD äk����Ñ, 3ÍÜ�O¥ØU�ÑÙK�, ò�Ç�Ú. LD ��Ñ��, Ï~Ø��Ä [12−15].

ìCò�Ç1näkAÏ�1ÆA5, 3�Å1Æ+�äk2��A^cµ, AO´Ù31å�/��|C���¡äk`³, �~·ÜÍÜ1Æ+�¦^ [16−21].

�©�éäk��Ñ�OÃ�Ú.��N-1ì�ÊÏü�1n�ÍܯK, JÑ�«�#�ÍÜ�{. ù«�{Äk|^|ÜߺXÚé LD

Ñ����Ñý�/-11å?1�/�®à, �

* I[g,�ÆÄ7 (1OÒ: 60877042, 61077069)!à��p�Æ�EâïÄ���8 (1OÒµZ2011201) Ú0�½�ÆEâ�uÐOy (1OÒµ2011ZZ052-4) ]Ï��K.

† E-mail: [email protected]

c© 2012 ¥¥¥IIIÔÔÔnnnÆÆƬ¬¬ Chinese Physical Society http://wulixb.iphy.ac.cn

164202-1

Page 2: uuu|||ÜÜÜßßß”””ƒƒƒìììCCCòòò nnn

Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

��/1å; Ùg|^ìCò�Ç1n (GIF) �1åC��A, ò�/���/1å?1å�Ø ,

=z��ÊÏü�1n (SMF) �|����1å¿5\ü�1n, dd¢y LD Ñ����Ñý�/-11å�ÊÏü�1n�$�ÑÍÜ.

2 Äu|Üߺ�ìCò�Ç1n�ÍÜXÚ

ã 1 �Äu|Üߺ�ìCò�Ç1n�Í

ÜXÚ1´(�«¿ã, Ù¥þeã©OL« LD

R�(Ú²1(²¡S�1å�/�ÍÜL§.

� LD ÑÑ1�ý�pd1å, Ù�Ñ� 2δ, Ñ�å�©O� ω0y, ω0x. |Üߺd\�ߺÎߺÚÑ�¥ßº|¤, Ρ�»�¥¡�»©O� Rc, Rs, ߺþÝ� d, ò�Ç� n. Îߺé\�ý�pd1å?1�/ [22], ¦�Ñý�1�¤�Ã�Ñ�1�; ¥ßºé�/��1å?1®à,

±Ï3 GIF \�¡¼�äk²¡Åc�pd1å.

ìCò�Ç1nn��»� a, ¶�?ò�Ç� n0,

n�>÷=��ò�Ç� n1.� ��� � � � �� � � � �� � � � �� � � � � � �� � � � �

� �� � � � � �� � � � � �� �

− ��+ �� � � �� �� � � �

ã 1 Äu|Üߺ� GIF �(Ü� LD � SMF ÍÜXÚ(�«¿ã

ã 1 ¥, LD +�Ñ�à� q ëê�L«�

q1x = iπω20x/λ,

q1y = iπω20y/λ;

(1)

²1(�R�(��3gd�m�DÂÝ©OL«�

M12x =

1 l + δ

0 1

,

M12y =

1 l − δ

0 1

.

(2)

u´��ÎߺL¡� q ëê�©OL«�

q2x = q1x + (l + δ),

q2y = q1y + (l − δ);(3)

3²1(�R�(��, Îߺ�DÑÝ©O�

M23x =

1 0

0 1/n

,

M23y =

1 0

(1 − n)/(nRc) 1/n

.

(4)

²Îߺ�/�, üR����1åA5C���,

=kÚ��ëê q3, u´

nq2x = q2y/ [(1 − n)/q2y(nRc) + 1/n] . (5)

.

ò (3) ª�\ (5) ª, {z��

inπω20x/λ + n(l + δ)

=

[iπω2

0y/λ + (l − δ)]

(1 − n)[iπω2

0y/λ + (l − δ)]+ 1/n

.(6)

164202-2

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

- (6) ª�Ò�m¢Ü�JÜ©O��, ��'u l

� Rc ��§|, ¦)T�§|�±�� LD å�¥%�ÎߺmåÚÎߺ�Ρ�»

l =1

2(ZRx − ZRy)

{2δ(ZRx + ZRy)

+{[2δ(ZRx + ZRy)]2 − 4(ZRx

− ZRy)2(δ2 − ZRxZRy)}1/2

}, (7)

Rc =(n − 1)(l2 − δ2 − ZRxZRy)

2δ, (8)

Ù¥ ZRx, ZRy ©O�ý�pd1å²1(!R�(���a|ål. þüª�(Jw«, LD å�¥%�ÎߺmåÚÎߺ�Ρ�»þ��ûu LD �1åëê, =��å���Ú�Ñ�'.

|^ Jones ÝnØ, LD Ñ�1²¥ßº®à�\�� GIF L¡���L§¥, C�Ý�L«�

M36 =M56M45M34

=

1 +(1 − n)s

Rsd + sn +

(1 − n)sdRs

1 − n

Rs

(1 − n)dRs

+ n

,

(9)

Ù¥, M34, M45, M56 ©OL«þߺ!¥ßº9¥ßºDÂ� GIF L¡�C�Ý. u´

q6 =q3 + d

(1 − n)(q3 + d)/Rs + n+ s. (10)

²L�/¿®à3 GIF L¡�\�1å��pd1å, äk²¡Åc, =�å�¤3 �, u´T?� q ëê½�L«�

q6 = iπω20/λ = iZR. (11)

d (10) ª� (11) ª����q3 + d

(1 − n)(q3 + d)/Rs + n+ s = iZR. (12)

|^

q3 = nq1x + n(l + δ) = inZRx + n(l + δ), (13)

(12) ª�z{�:{Rs [n(l + δ + s) + d]

+ n(1 − n) [ZRxZR + ns(l + δ)]}

+ i{

[nRs(ZRx − ZR)]

+ n(1 − n) [sZRx − ZR(l + δ)]}

= 0. (14)

u´ÙJÜ�¢ÜÓ��", =

Rs [n(l + δ + s) + d]

+ n(1 − n) [ZRxZR + ns(l + δ)] = 0,

nRs(ZRx − ZR)

+ n(1 − n) [sZRx − ZR(l + δ)] = 0.

(15)

À�Xeëþ:

A =nZRx,

B = −{nZ2

Rx + (l + δ)[n(l + δ + s)

+ d − sn2]}

,

C =sZRx

{[n(l + δ + s) + d] − n2(l + δ)

}.

(16)

(Ü (11) ª, ¦)�§| (15), ���²�/�®à����å� u GIF \�¡?��pd1å�å��¥¡�»:

ω0 =

√√√√ 1π

(λ−B +

√B2 − 4AC

2A

), (17)

Rs =n(n − 1) [sn(l + δ) + ZRxZR]

n(l + δ + s) + d. (18)

L 1 ÍÜXÚ�Щëê�

λ/µm n0 n1 n a/µm ω0x/µm ω0y/µm d/µm s/µm

0.98 1.46 1.45 1.45 56 2.6 0.7 50 50

dþã©ÛL§��, ��(½Ð©ý�pd1åëê!LD �Ñ�!ߺþݱ9¥ßº� GIF må��, K LD �ߺ|må!ߺëê±9�ª����pd1åëê=�¼�. L 1 �Ñ�|;.ÍÜXÚ�1Æëê, �â (7), (8), (17), (18)

ª, �O�ÑÍÜXÚ�Ù¦1Æëê, XL 2 ¤«. dL 2 ��, LD �Îߺmå� 65 µm, �/�3 GIF \�¡?��pd1åå�� 30 µm.

�pd1å3 GIF ¥DÂL§¥1��»�Cz�L«� [23]

164202-3

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

ω2t (z) =

ω4f

ω20

[sin(z/F )]2 + ω20 [cos(z/F )]2 . (19)

Ù¥ F �8�zò�Ç:F = a/√

2∆, ∆��éò�Ç�, ∆ = (n2

0 − n21)/2n2

0, ωf =√

λF/πn0. |^���ê":{��4�:�D �

ze =k

2πF =

k

2LT (k = 0, 1, 2, 3, · · · ), (20)

LT �pd1å3ìCò�Ç1n¥�D±Ï,

LT = πF = πa/√

2∆. d (20) ª��, gЩ �m©, 1��»4�:©OÑy3�±Ï�Ý��ê� �. �DÂål��±Ï�Ý�Ûê��,

4��

ω e1(z) =ω2

f

ω0=

λF

πn0ω0=

λa

πn0ω0

√2∆

. (21)

�DÂål��±Ï�Ý�óê��, 4��

ω e2(z) = ω0. (22)

d (21) Ú (22) ª��, ØÓD �?�4�5��ûu GIF �î��|�»Ú\�pd1åå����. � ωf > ω0 �, ω e1 > ω e2, �±Ï�ÝÛê� ��4��, óê� ��4��; � ωf < ω0

�, ω e1 < ω e2, �±Ï�ÝÛê� ��4��,

óê� ��4��. du3�±�éò�Ç�ð½��¹e, GIF î��|�»��n��»k',

Ïd¢Sû½4�5��´n��»��\�pd1åå���.

L 2 ÍÜXÚ��½ëê�

l/µm l − δ/µm l + δ/µm Rc/µm Rs/µm ω0/µm

153 65 241 40 109 30

3 ê�©Û9?Ø

ã 2 ¤«�pd1å3 GIF ¥DÂ�1�4���O«¿ã.

ã 2 ¥, � a > πn0

√2∆ω2

0/λ, = a � ω0 ����m uã¥�þ���x«��, �±Ï � Ý Û ê � � � 4 � �, � ± Ï � Ý ó ê� ��4��, =k ωmax = λa/(πn0ω0

√2∆),

ωmin = ω0; � a < πn0

√2∆ω2

0/λ, = a � ω0 ����m uã¥me��ÒK«��, �±Ï�ÝÛê� ��4��, �±Ï�Ýóê� ��4��, =k ωmax = ω0, ωmin = λa/(πn0ω0

√2∆);

� a = πn0

√2∆ω2

0/λ, = a � ω0 ���TÐ3ã¥ü�«��>.­�þ�, �±Ï�ÝÛê� 

���±Ï�Ýóê� ���Ó�. d�¿�X\�pd1åå�� GIF î��|�»����,

= ω0 = ωf .

100 1010

10

20

30

40

50

60

ω0/mm

a/mm

ã 2 pd1å3 GIF ¥DÂ�1�4��O«¿ã

æ^ Corning úi� SMF-28 .ü�1n, Ù3 0.98 µm ?��|�»� 3.13 µm. �Ä�\�1åå�� 30 µm, K��T1å3 GIF ¥DÂ��1��»4���uÊÏü�1n�|�», =U¢yk�ÍÜ. �â (24) ª, � GIF n��»� 56 µm, ò�ÇXL 1 ¤«, K�O�Ñ\�1å3 GIF ¥�D±Ï� LT = 1186 µm,

3 � ± Ï Û ê � � Ñ y 1 å 4 � �, 4 �� ωmin = 2.68 µm, �uÊÏü�1n��|�», ÎÜÍÜ^�.

ã 3 ¤ «�² ß º | � / � � 1 å å �� 30 µm �pd1å3¤�O GIF ¥DÂ��1�Cz5Æ.

� � � � � � � � � � � � � � � � � � � � ��� �� �� �� � � � � � � � � � � �

� � � � � � �� �� ��� ��� ���� ��

ã 3 ²ßº|�/�� LD \�1å3A½ GIF ¥DÂ�1�Cz5Æ

164202-4

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

|^åDÂ{ (BPM) éÍÜL§?1�[,

�½ GIF �Ý��±Ï�Ý� 593 µm, �¼�­½�ÑÑ(J� SMF �Ý� 400 µm. ã 4 ¤«� GIF � SMF ÍÜL§�1|DÂ.

ã 5 �ÑÍÜL§¥A�'� ��|©ÙA5, ©OéA GIF \�¡!GIF � SMF ÍÜ¡!SMF ÑÑ¡ �. é'ã 5(a)—(c) ��, 3\�¡ �1|äk��Ñ\1�, ù� GIF ���»´����, �±«1�õUþ�15\, ¦�U/;�\�1���. ²L GIF �à����

�±Ï ��, 1������. du1��»�u SMF �|�», Ïd�±p�/ÍÜ?\ SMF.

ã 5(c) �²L­½DÂ� SMF ¥�|©Ù, �ã 5(b) �', Ù1��»�kO�.

ã 6 �ÑÍÜ¡� SMF ÑÑ¡ �?�î�|� ©Ù, '�ã 6(a) � (b) �w�, 3 GIF

� SMF ��.¡?|©Ùäk�1��²¡Åc,

­½DÂ�� SMF ÑÑ�|Ó�äk�1��²¡Åc, üöé�q, Ø�3� ���¯K, Ïd�¼��p�ÍÜ�Ç.� � �� � �� � �� � ��� �� �� �� � � � � �� � � � � � � � � � � � � � � �� � �� � �� � ��� �� �� � � � � �� � � � � � � � � � � � � � � �� � � � � � �

ã 4 GIF � SMF �ÍÜ1|©ÙA5ã (a) 1|rÝ©Ù; (b) 1|� ©Ù� � � � � �� � � � � �� � � � � �� � � � � � �� � � �� �� � � �� �� �� � � � � � �� � � � � �� � � � � �� � � � � � �� � � �� �� � � �� �� �� � � � � � �� � � � � �� � � � � �� � � � � � �� � � �� �� � � �� �� ��ã 5 GIF � SMF ÍÜL§¥'� �?1|rÝ©Ù (a) GIF \�¡, z = 0 µm; (b) GIF � SMF ÍÜ¡,z = 593 µm; (c) SMF ÑÑ¡, z = 1000 µm

� � � � � �� � � � � �� � � � �� � � � � �� � � �� �� � � � � ��� ��� � � � � �� � � � � �� � � � �� �

� � � �� � � �� �� � � � � ��� ��ã 6 GIF � SMF ÍÜL§¥'� �?1|� ©Ù (a) GIF � SMF .¡, z = 593 µm; (b) SMF ÑÑ¡, z = 1000 µm

164202-5

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

lAÛ1Æ�Ý5©ÛÍÜL§, K GIF 3ÍÜL§¥å�gà�ߺ��^. 3Ñ\¡�ÍÜ¡�ålS GIF é\�1äkér�®àUå, 3�±Ï ����à�1�é�, �»=k 2.68 µm, Xd��1��»lº�þ��÷v� SMF �ÍÜ�¦. du���¹e, 1��»��, Ù�|uÑ���, XJÍÜ¡?��|uÑ��L SMF ê��»¤éA\����� (��:

12.5◦), K¬kÜ©13DÂ¥ÏL SMF ��Ë�Ñ�, \�ÍÜ�Ñ. ÏLO�uyT ��1å�|uÑ�¿Ø�, 3 GIF ¥=k 2.7◦ (��, Äu�p�°), ��u SMF ê��»¤éA�, ÷v\�^�, ÏdlAÛ1Æ��ÝÓ�y²TÍÜL§´p�� [24,25].

± P1 L« LD \�1õÇ, P2 L« SMF Ñ�1õÇ, ½ÂÍÜ�Ç� η = P2/P1, ½ÂÍÜ�Ñ� L = −10 lg(P2/P1). ÏLþã BPM O�L§�ª¼��ÍÜ�Ç� 95.4%, éA��Ñ�� 0.2 dB. ���¹e, ߺ|Ú\��Ñ�u 0.1 dB, GIF \�L¡��r����Ñ� 0.18

dB, GIF � SMF m�L��Ñ�u 0.1 dB. nÜ�Äþã¤k�¹, o�Ñ�A� 0.58 dB, éA�ÍÜ�Ç� 88%.

dþã©Û��, � GIF ��Ý��±Ï�Ûê��, � SMF L��¬¼��p�Ç�ÍÜ, �¢Sö�¥ ¿ØN´°(�� GIF �Ý, l 3�½§ÝþO��Ñ. ã 7 ¤«�N\�Ñ� GIF �ÝCz�­�. dã 7 ��, �Ñ�$:éA� GIF �Ý� 593 µm, ålT: ����Ñ���, 1 Ú 3 dB ��ÑN�éA� GIF �Ý©O� 60 Ú 110 µm.

ã 7 N\�Ñ� GIF �Ý�Cz'X

ã 8 ¤«� GIF î� £����Ý\�¤

Ú\�ÍÜ�Ñ�î� £����Ý�Cz'X. dã 8(a) ��, Ú\ 1 dB ��Ñ�¤éA�î� £� 30 µm; dã 8(b) ��, Ú\ 1 dB ��Ñ�¤éA����Ý� 2.4◦, �3 0◦—1.4◦ �Cz��SäkCqð½��Ñ.

ã 8 GIF î� £���\�¤Ú\�ÍÜ�Ñ� £þ�Cz'X (a) î� £; (b) ���Ý

nÜþãn«�¹e�ÑA5�©Û, ±N\ 1 dB �Ñ�þ�, KéA�N�XL 3 ¤«.

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

[1] Ogura A, Shiraishi K 2002 J. Light. Tech. 20 49[2] Shiraishi K, Yoda H, Endo T 2004 IEEE Photo. Tech. Lett. 16

1104[3] He Y Z, Shi F G 2006 Opt. Commun. 260 127[4] Xiong D Y, Li Z F, Chen X S, Li N, Zhen H L, Lu W 2007 Acta

Phys. Sin. 56 6648 (in Chinese) [=��, o�¹, ��V, ow,þù¢, º¥ 2007ÔnÆ� 56 6648]

[5] Kishimoto R, Koyama M 1982 IEEE Trans. Microw. Theory Tech.

30 882[6] Ogura A, Kuchiki S, Shiraishi K 2001 IEEE Photo. Tech. Lett. 13

1191[7] Joyce W B, DeLoach B C 1984 Appl. Opt. 23 4187[8] Saruwatari M, Sugie T 1981 IEEE J. Quantum. Elect. 17 1021[9] Zhao G Y, Zhang Y X, Wang J Y, Jia J J 2010 Acta Phys. Sin. 59

1378 (in Chinese) [ëBÿ, ܺ#,�ï�, _ï� 2010 ÔnÆ� 59 1378]

[10] Jian X G, Wu F T 2008 Acta Phys. Sin. 57 4202 (in Chinese) [ô#1,ǽc 2008ÔnÆ� 57 4202]

[11] Yeh S M, Huang S Y, Cheng W H 2005 J. Light. Tech. 23 1781

[12] Bludau W, Rossberg R 1985 J. Light. Tech. 3 294

[13] Yoda H, Shiraishi K 2001 J. Light. Tech. 19 1910

[14] Yoda H, Sakurai T, Ogura A, Shiraishi K 2001 Proceedings of Eu-

ropean Conference on Optical Communication (ECOC ’01) Ams-terdam, the Netherlands, September 30 – October 4, 2001 p418

[15] Kuwahara H, Sasaki M, Tokoyo N 1980 Appl. Opt. 19 2578

[16] Hillerich B, Guttmann J 1989 J. Light. Tech. 7 99

[17] Presby H M, Edwards C A 1992 IEEE Photo. Tech. Lett. 4 897

[18] Kotsas A, Shiraz H G, Maclean T S M 1991 Opt. Quantum. Elect.

23 367

[19] Yang H M, Huang S Y, Lee C W 2004 J. Light. Tech. 22 1395

[20] Modavis R A, Webb T W 1995 IEEE Photo. Tech. Lett. 7 798

[21] Li J L, Lu B D 2008 Acta Phys. Sin. 57 3006 (in Chinese) [oï9, ½z� 2008 ÔnÆ� 57 3006]

[22] Tang Z, Zhang R, Mondal S K 2001 Opt. Commun. 199 95

[23] Thual M, Chanclou P, Gauttreau O 2003 Elect. Lett. 39 1504

[24] Yeh S M, Lu Y K, Huang S Y 2004 J. Light. Tech. 22 1374

[25] Lin I E 2005 Precision Eng. 29 146

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Ô n Æ � Acta Phys. Sin. Vol. 61, No. 16 (2012) 164202

A novel method of improving coupling effiency oflaser diode based on synthesized lens with graduaed

index fiber∗

Yan Feng-Ping1)2)† Liu Peng3) Tan Zhong-Wei1) Tao Pei-Lin1) Li Qi1)

Peng Wan-Jing1) Feng Ting1) Tan Si-Yu1)

1) ( Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China )

2) ( Key Laboratry of All Optical Networks and Advanced Communication Networks, Ministry of Education, Beijing 100044, China )

3) ( Physics Department of Xingtai College, Xingtai 054001, China )

( Received 5 December 2011; revised manuscript received 16 February 2012 )

Abstract

In this paper, a novel method of improving coupling effiency of laser diode to single mode fiber based on synthesized lens with

graduaed index fiber is provided. The output beam with large astigmatism from laser diode is shaped and focused via synthesized lens

and graduaed index fiber, and then couplied into single mode fiber. Analysis using Jones matrix theory indicates that the power coupler

effect of 86% is obtained from output port of the single mode fiber. The tolerances for fiber length of graduaed index fiber, radial offset

and tilt degree are 60 µm, 30 µm and 2.4 degree respectivily for 1 dB insert loss. This method can be used for improving the quality of

optical beam and increasing output power for laser diode to single mode fiber with a large output optical power.

Keywords: astigmatism, synthesized lens, beam shaping, coupling

PACS: 42.15.Eq, 42.60.By, 42.79.Ry

* Project supported by the National Natural Science Foundation of China (Grant Nos. 60877042, 61077069), the Science and Technology ResearchProject of Colleges and Universities in Hebei Province, China (Grant No. Z2011201), and the Science and Technology Development Project ofXingtai, China (Grant No. 2011ZZ052-4).

† E-mail: [email protected]

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