HOMOGENEOUS PUMP STRUCTURE OF LASER, AND DESIGN METHOD FOR STRUCTURE

Abstract

A homogeneous pump structure of laser, and a design method for the homogeneous pump structure of laser. The homogeneous pump structure of laser is used in a fiber laser or a fiber laser amplifier, and comprises a gain fiber (21). The gain fiber (21) comprises a pump light input end and a pump light output end. The pump area of the gain fiber (21) gradually decreases from the pump light input end to the pump light output end, so that a change rate between a pump light absorption capacity of each of segments, with equal lengths, of the gain fiber (21) and a pump light absorption capacity of a neighboring segment is smaller than b %, b being an empirical value.

Claims

1. A homogeneous pump structure of a laser used in a fiber laser or a fiber laser amplifier, comprising: a gain fiber having a pump light input end and a pump light output end, wherein a pump area of the gain fiber gradually decreases from the pump light input end to the pump light output end, such that a change rate of a pump light absorption capacity between each segment with an equal length and an adjacent segment of the gain fiber is less than b %, wherein b is an empirical value.

2. The homogeneous pump structure of the laser according to claim 1, wherein the homogeneous pump structure adopts a tapered fiber coupling pump method, the gain fiber comprises a fiber core and an inner cladding which is in contact with and closely surrounds the fiber core, when a cross section area of the gain fiber is equivalent to a circular, a ratio of a diameter of the fiber core to a diameter of the inner cladding gradually increases from the pump light input end to the pump light output end.

3. The homogeneous pump structure of the laser according to claim 1, wherein the homogeneous pump structure adopts an end pumped method, the gain fiber comprises a fiber core and an inner cladding which is contact with and closely surrounds the fiber core, when a cross section area of the gain fiber is equivalent to a circular, a ratio of a diameter of the fiber core to a diameter of the inner cladding increases gradually.

4. The homogeneous pump structure of the laser according to claim 1, wherein a deviation between a diameter of an actual fiber core and a diameter of a theoretical designed fiber core falls within c %, a deviation between a diameter of an actual inner cladding and a diameter of a theoretical designed inner cladding falls within c %, wherein c is an empirical value, the diameter of the theoretical designed fiber core and the diameter of the theoretical designed inner cladding satisfy the following conditions:
P*{110[a(ds.sub.1.sup.2/dp.sub.1.sup.2)*L/n]}P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2)*L/n]}*{110[a(ds.sub.2.sup.2/dp.sub.2.sup.2)*L/n]}= . . . =P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2+ . . . +ds.sub.n1.sup.2/dp.sub.n1.sup.2)*L/n]}*{110[a(ds.sub.n.sup.2/dp.sub.n.sup.2)*L/n]} wherein P represents an initial power of the pump light inputted into the gain fiber, L represents a total length of the gain fiber, n represents that the gain fiber is divided into n segments with equal lengths, ds.sub.i represents the theoretical designed diameter of each segment of the fiber core, dp.sub.i represents the theoretical designed diameter of each segment the inner cladding, a represents that an adsorption of the pump light by the fiber core is a decibels per meter.

5. The homogeneous pump structure of the laser according to claim 4, wherein the theoretical designed diameter ds of the fiber core remains invariable, the theoretical designed diameter of the inner cladding gradually decreases from the pump light input end.

6. The homogeneous pump structure of the laser according to claim 4, wherein the theoretical designed diameter dp of the inner cladding remains invariable, the theoretical designed diameter of the fiber core gradually increases from the pump light input end.

7-9. (canceled)

10. The homogeneous pump structure of the laser according to claim 1, wherein the homogeneous pump structure adopts a side pump method, and the homogeneous pump structure comprises a pump fiber and a gain fiber contacting each other, when a cross section area of the gain fiber is equivalent to a circular, a ratio of a diameter of an the pump light absorption segment of the gain fiber to a diameter of the pump fiber gradually increases from the pump light input end to the pump light output end.

11. The homogeneous pump structure of the laser according to claim 10, wherein a deviation between a diameter of an actual pump fiber and a diameter of a theoretical designed pump fiber falls within c %, a deviation between a diameter of an actual gain fiber and a diameter of a theoretical designed gain fiber falls within c %, c is an empirical value, the diameter of the theoretical designed pump fiber and the diameter of the theoretical designed gain fiber satisfy the following conditions: $P*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right]=P*\left[10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right]*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_2^2}{{\mathrm{dp}}_2^2+{\mathrm{ds}}_2^2}*L/n\right)\right]=\mathrm{.Math.}=P*\left\{10^\left[-a*\left(\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}+\mathrm{.Math.}+\frac{{\mathrm{ds}}_{n-1}^2}{{\mathrm{dp}}_{n-1}^2+{\mathrm{ds}}_{n-1}^2}\right)*L/n\right]\right\}*\left\{1-10^\left[-a*\frac{{\mathrm{ds}}_n^2}{{\mathrm{dp}}_n^2+{\mathrm{ds}}_n^2}*L/n\right]\right\}$ wherein P represents an initial power of the pump light inputted into the pump fiber, L represents a total length of the pump light absorption segment of the gain fiber, n represents that the pump light absorption segment is divided into n segments with equal lengths, ds.sub.i represents the theoretical designed diameter of one segment of the pump light absorption segment, dp.sub.i represents the theoretical designed diameter of one segment the pump fiber, a represents that an adsorption of the pump light by the gain fiber is a decibels per meter

12. The homogeneous pump structure of the laser according to claim 11, wherein the theoretical designed diameter ds of the pump light absorption segment of the gain fiber remains invariable, the theoretical designed diameter of the pump fiber gradually decreases from the pump light input side.

13. The homogeneous pump structure of the laser according to claim 11, wherein the theoretical designed diameter dp of the pump fiber remains invariable, the theoretical designed diameter of the pump light absorption segment of the gain fiber gradually increases from the pump light input side.

14. The homogeneous pump structure of the laser according to claim 11, wherein the homogeneous pump structure is a unidirectional pump structure having a single-end-pumped input.

15. The homogeneous pump structure of the laser according to claim 11, wherein the homogeneous pump structure is a bidirectional pump structure having a double-end-pumped input, a number of the gain fibers is two, a number of the pump fibers is two, the two gain fibers are connected to each other and mirror symmetric about a position where they are connected, the two pump fibers are connected to each other and mirror symmetric about a position where they are connected.

16. A method of designing a homogeneous pump structure of a laser used in a fiber laser and a fiber laser amplifier, the structure comprising a gain fiber having a pump light input end and a pump light output end, the method comprising: making a cross section area of the gain fiber equivalent to a circular; giving a total length L to the gain fiber, giving a decibels per meter to an adsorption of the pump light by the fiber core of the gain fiber, dividing the gain fiber into n segments with equal lengths; designing an appropriate diameter of a theoretical designed fiber core and an appropriate diameter of a theoretical designed inner cladding to satisfy the following formula:
P*{110[a(ds.sub.1.sup.2/dp.sub.1.sup.2)*L/n]}P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2)*L/n]}*{110[a(ds.sub.2.sup.2/dp.sub.2.sup.2)*L/n]}= . . . +P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2 + . . . +ds.sub.n1.sup.2/dp.sub.n1.sup.2)*L/n]}*{110[a(ds.sub.n.sup.2/dp.sub.n.sup.2)*L/n]} wherein P represents an initial power of the pump light inputted into the gain fiber, ds.sub.i represents the theoretical designed diameter of one segment of the fiber core, dp.sub.i represents the theoretical designed diameter of one segment of the inner cladding.

17. The method for designing a homogeneous pump structure of a laser according to claim 16, wherein the homogeneous pump structure adopts a tapered fiber coupling pump method.

18. The method for designing a homogeneous pump structure of a laser according to claim 16, wherein the homogeneous pump structure of a laser adopts an end pumped method.

19. The method for designing a homogeneous pump structure of a laser according to claim 16, wherein the theoretical designed diameter ds of the fiber core of the gain fiber remains invariable, the theoretical designed diameter of the inner cladding gradually decreases from the pump light input end.

20. The method for designing a homogeneous pump structure of a laser according to claim 16, wherein the theoretical designed diameter dp of the inner cladding of the gain fiber remains invariable, the theoretical designed diameter of the fiber core gradually increases from the pump light input end.

21-23. (canceled)

24. The method for designing a homogeneous pump structure of a laser according to claim 16, further comprising: manufacturing a gain fiber according to a diameter of a theoretical designed fiber core and a diameter of a theoretical designed inner cladding which are obtained by calculation, wherein a deviation between a diameter of an actual fiber core of the manufactured gain fiber and a diameter of a theoretical designed fiber core falls within c %, a deviation between a diameter of an actual inner cladding of the manufactured gain fiber and a diameter of a theoretical designed inner cladding falls within c %.

25. A method for designing a homogeneous pump structure of a laser used in a fiber laser and a fiber laser amplifier, the structure adopting a side pumped method and comprising a pump fiber and a gain fiber, the method comprising: making cross sections of the pump fiber and the gain fiber equivalent to circulars; giving a total length L to the pump light absorption segment of the gain fiber, giving a decibels per meter to an adsorption of the pump light by the gain fiber, dividing the pump light absorption segment into n segments with equal lengths; designing an appropriate diameter of a theoretical designed pump fiber and an appropriate diameter of a theoretical designed gain fiber to satisfy the following formula: $P*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right]=P*\left[10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right]*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_2^2}{{\mathrm{dp}}_2^2+{\mathrm{ds}}_2^2}*L/n\right)\right]=\mathrm{.Math.}=P*\left\{10^\left[-a*\left(\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}+\mathrm{.Math.}+\frac{{\mathrm{ds}}_{n-1}^2}{{\mathrm{dp}}_{n-1}^2+{\mathrm{ds}}_{n-1}^2}\right)*L/n\right]\right\}*\left\{1-10^\left[-a*\frac{{\mathrm{ds}}_n^2}{{\mathrm{dp}}_n^2+{\mathrm{ds}}_n^2}*L/n\right]\right\}$ wherein P represents an initial power of the pump light inputted into the pump fiber, ds.sub.i represents the theoretical designed diameter of one segment of the pump light absorption segment, dp.sub.i represents the theoretical designed diameter of one segment of the pump fiber.

26. The method for designing a homogeneous pump structure of a laser according to claim 25, wherein the theoretical designed diameter ds of the pump light absorption segment of the gain fiber remains invariable, the theoretical designed diameter of the pump fiber gradually decreases from the pump light input side.

27-30. (canceled)

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0057] The foregoing and other objects, features and advantages will be apparent from the following description of particular embodiments of the invention, as illustrated in the accompanying drawings in which like reference characters refer to the same parts throughout the different views. The drawings are not necessarily to scale, emphasis instead being placed upon illustrating the principles of various embodiments of the invention.

[0058] FIG. 1a is a perspective view of a gain fiber of a fiber laser of a tapered fiber coupling pump method in a unidirectional pump according to an embodiment;

[0059] FIG. 1b is a cross-segmental view, taken along line A-A of FIG. 1a;

[0060] FIG. 2a is a perspective view of a gain fiber of a fiber laser of a tapered fiber coupling pump method in a bidirectional pump according to an embodiment;

[0061] FIG. 2b is a cross-segmental view, taken along line A-A of FIG. 2a;

[0062] FIG. 3a is a perspective view of a gain fiber and a pump fiber of a fiber laser of a side pumping method in a unidirectional pump according to an embodiment;

[0063] FIG. 3b is a cross-segmental view, taken along line B-B of FIG. 3a;

[0064] FIG. 4a is a perspective view of a gain fiber and a pump fiber of a fiber laser of a side pumping method in a bidirectional pump according to an embodiment; and

[0065] FIG. 4b is a cross-segmental view, taken along line B-B of FIG. 2a.

DETAILED DESCRIPTION OF THE EMBODIMENTS

[0066] The above and other objects, features and advantages of the present invention will become more apparent by describing in detail with reference to the accompanying drawings.

[0067] The heat damage of the double clad fiber coating is one of the dominant factors limiting the operation of a high power continuous fiber laser and a fiber laser amplifier, which greatly limits a maximum power output and a stability of the laser system. The low refractive polymer coating of the conventional double clad fiber itself is sensitive to temperature. When the temperature reaches 150 C. to 200 C., a heat damage tends to be aroused, a stable operation for a long time requires a temperature lower than 80 C. The invention takes advantage of a variation of the pump area along an axial direction of the optical fiber to modify an absorptive rate of each segment of the gain fiber for the pump light. Specifically, a pump area of the gain fiber gradually decreases from the pump light input end to the pump light output end, causing a pump light absorbing capacity of each segment of the gain fiber with equal lengths remains almost invariable. In consideration of a restriction of a manufacturing technology and influences of other aspects, a change rate of a pump light absorption capacity between each segment with an equal length and an adjacent segment of the gain fiber is less than b %, wherein b is an empirical value.

[0068] For the fiber laser of the embodiment that adopts the tapered fiber coupling pump method, an initial power of the pump light inputted into the gain fiber is defined as P, a total length of the gain fiber is L, the gain fiber is divided into n segments with equal lengths, the diameter of one segment of the fiber core is ds.sub.i (i [1, n] and i is a natural number), a diameter of the inner cladding is dp.sub.i, the adsorption of the pump light by the fiber core is a decibels per meter. It should be noted that the diameter of the inner cladding mentioned in the specification and the claims indicates a diameter that includes a diameter of the fiber core. In order to satisfy a condition of which a pump area of the gain fiber gradually decreases from the pump light input end to the pump light output end, a ratio of the diameter ds.sub.i of the fiber core to the diameter dp.sub.i of the inner cladding is required to be gradually increased. It is illustrated with reference to one embodiment in the following:

[0069] For the first segment of the gain fiber starting from the pump light input end, i.e. the first segment of the gain fiber which connects the tapered fiber coupler, the power of absorbing the pump light is: P*{110[a(ds.sub.1.sup.2/dp.sub.1.sup.2)*L/n]};

[0070] For the second segment of the gain fiber, the power of absorbing the pump light is: P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2)L/n]}*{110[a(ds.sub.2.sup.2/dp.sub.2.sup.2)*L/n]};

[0071] Similarly, for the nth segment of the gain fiber, the power of absorbing the pump light is:

P*{10[a(ds.sub.1.sup.2/dp.sub.1.sup.2 + . . . +ds.sub.n1.sup.2/dp.sub.n1.sup.2)*L/n]}*{110[a(ds.sub.n.sup.2/dp.sub.n.sup.2)*L/n]}

[0072] The L, a and n are given, various required combinations which enables the pump light absorption power of each segment of the gain fiber to be equal can be solved by virtue of mathematical calculation software tools such as Matlab, and Maple. In practical production, the cross section of the manufactured optical fiber may not be circular, and rather, it has shapes such as octagon, D shaped, and hexagon. One skilled in the art can make the manufactured gain fiber equivalent to a circular cross section according to a requirement, after that, on basis of above theoretical calculation, an adjustment within c % is performed to the diameter of the actual fiber core and the diameter of the actual inner cladding, c is an empirical value.

[0073] In the embodiment shown in FIG. 1a, the inner cladding 212 of the gain fiber 21 is tapered along an axial direction, and the diameter of the fiber core 214 of the gain fiber 21 remains invariable, causing the pump area to be less when the position of the pump light is transmitted far. Thus the pump light input is smaller and smaller, but the absorptive rate is higher and higher, thereby maintaining a homogeneous pump. FIG. 1b shows a cross section of a tail end of the first segment of the gain fiber 21, taken along line A-A, when the gain fiber 21 is divided into n segments. Specifically, the diameter ds of the fiber core remains invariable, the diameter of the inner cladding 212 gradually decreases from a position where the gain fiber 21 connecting the tapered fiber coupler 11, and satisfies the following formula

P*{110[a(ds.sup.2/dp.sub.1.sup.2)*L/n]}P*{10[a(ds.sup.2/d.sub.1.sup.2)*L/n]}*{110[a(ds.sup.2/dp.sub.2.sup.2)*L/n]}= . . . =P*{10[a(ds.sup.2/dp.sub.1.sup.2 +. . . +ds.sup.2/dp.sub.n1.sup.2)*L/ n]}*{110[a(ds.sup.2/dp.sub.n.sup.2)*L/n]}

[0074] When the situation that the actual emergent angle of the pump light is no more than the numerical aperture of the inner cladding can be ensured, the taper angle of the gain fiber can be adjusted to enable a change of the absorption pump light of each segment to be relative less. The change of the actual absorption pump light of each segment of the gain fiber is little, the heating is mainly determined by a quantum defect between the excited laser and the pump light. Because the quantum defect is constant, thus the heating change is little. Therefore, a situation that the conventional fiber laser and the fiber laser amplifier have a poor homogeneity can be changed, the heat can be uniformly distributed along the whole gain fiber, a homogeneous heat dissipation of the fiber laser can be ensured, a heat damage resistant capability of the gain fiber can be greatly enhanced, thereby an actual power output of the fiber laser is greatly improved.

[0075] In one embodiment, a total length of the gain fiber 21 is 15.63 meters, the diameter of the fiber core 214 is 20 micrometers, absorption of the fiber core for the pump light is 100 decibels per meter. The diameter of the inner cladding of the pump light input end of the gain fiber 21 is 400 micrometers, the diameter of the inner cladding of the output end of the gain fiber 21 is 126.5 micrometers. At the time, the last remaining pump light (i.e. the pump light in the output end) is ten percent of the initial pump light (i.e. the pump light in the input end).

[0076] In other embodiment, the diameter dp of the inner cladding can also remain invariable, the diameter ds.sub.i of the gain fiber core is changed, or the diameters of the inner cladding and the gain fiber core are changed together, but a value of (dp.sub.i.sup.2)/(dp.sub.i.sup.2) is ensured to be changed according to an equal proportion, i.e.

[00003]$\frac{{\mathrm{ds}}_{i+1}^2}{{\mathrm{dp}}_{i+1}^2}/\frac{{\mathrm{ds}}_i^2}{{\mathrm{dp}}_i^2}$

is a constant value.

[0077] The embodiment of FIG. 1a, and FIG. 1b adopts a unidirectional pump structure having a single-end-pumped input, in other embodiment, the homogeneous pump structure is a bidirectional pump structure having a two-end-pumped input, as shown in FIG. 2a and FIG. 2b. Two gain fibers which are connected to each other (the gain fibers 21 and 22) are included, and the two gain fibers are mirror symmetric about a position where they are connected. Aforementioned embodiment can be referred for the calculation method of the size of the optical fiber, but a superposition of the inputs at the two ends should be considered. For the situation when they are not superposed, the embodiment of FIG. 2a is equivalent to a structure that formed by adding one mirror symmetry to the structure of FIG. 1a.

[0078] As described in the background, the tapered fiber coupling pump method is an improved end pump coupling method, such that above gain fiber can also be used in the common fiber laser and the laser amplifier. Specifically, the diameter ds.sub.i of the fiber core can remain invariable, the diameter dp.sub.i of the inner cladding gradually decreases from a position where the gain fiber connecting the dichroic mirror; or the diameter dp of the inner cladding of the gain fiber remains invariable, and the diameter of the fiber core gradually increases from the position where the gain fiber connecting the dichroic mirror; or the diameters of inner cladding and the gain fiber core change together, but a value of (ds.sub.i.sup.2)/dp.sub.i.sup.2) is ensured to be changed according to an equal proportion, i.e.

[00004]$\frac{{\mathrm{ds}}_{i+1}^2}{{\mathrm{dp}}_{i+1}^2}/\frac{{\mathrm{ds}}_i^2}{{\mathrm{dp}}_i^2}$

is a constant value

[0079] FIG. 3a is a perspective view of a gain fiber and a pump fiber of a fiber laser of a side pumping method in a unidirectional pump structure according to an embodiment. As shown in FIG. 3a and FIG. 3b, the cross sections of the gain fiber 31 and the pump fiber 41 are circulars, and contact each other. The pump light introduced into the pump fiber 41 can enter the gain fiber 31 through the contact surfaces of the two optical fibers. A segment of a middle portion of the gain fiber 31 which contacts the pump fiber 41 so as to be able to absorb the pump light is defined as a pump light absorption segment. The pump light initial power introduced into the pump fiber 41 is defined as P, the total length of the pump light absorption segment of the gain fiber 31 is defined as L, the pump light absorption segment is divided into n segments with equal lengths, the diameter of one segment of the pump light absorption segment is ds.sub.i(i[1, n] and i is a natural number, the diameter ds.sub.i of the pump light absorption segment indicates the diameter of the fiber core plus the diameter of the claddings), a diameter of the pump fiber is dp.sub.i, the adsorption of the pump light by the gain fiber 31 is a decibels per meter. In order to satisfy a condition in which a pump area of the gain fiber gradually decreases from the pump light input end to the pump light output end, a ratio of the diameter ds.sub.i of pump light absorption segment to the diameter dp.sub.i of the pump fiber is gradually increased. It is illustrated with reference to one embodiment in the following:

[0080] For the first segment of the pump light absorption segment starting from the input side of the pump light, the power of absorbing the pump light is:

[00005]$P*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right];$

[0081] For the second segment of the pump light absorption segment, the power of absorbing the pump light is:

[00006]$P*\left[10^\left(-a*\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}*L/n\right)\right]*\left[1-10^\left(-a*\frac{{\mathrm{ds}}_2^2}{{\mathrm{dp}}_2^2+{\mathrm{ds}}_2^2}*L/n\right)\right]$

[0082] Similarly, for the nth segment of the pump light absorption segment, the power of absorbing the pump light is:

[00007]$P*\left\{10^\left[-a*\left(\frac{{\mathrm{ds}}_1^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}_1^2}+\mathrm{.Math.}+\frac{{\mathrm{ds}}_{n-1}^2}{{\mathrm{dp}}_{n-1}^2+{\mathrm{ds}}_{n-1}^2}\right)*L/n\right]\right\}*\left\{1-10^\left[-a*\frac{{\mathrm{ds}}_n^2}{{\mathrm{dp}}_n^2+{\mathrm{ds}}_n^2}*L/n\right]\right\}$

[0083] The L, a and n are given, various required combinations which enable the pump light absorption power of each segment of the pump light absorption segment to be equal can be solved by virtue of mathematical calculation software tools such as Matlab, and Maple. In practical production, the cross section of the manufactured pump fiber and the gain fiber may not be circular, and rather, it has shapes such as octagon, D shaped, and hexagon. One skilled in the art can make the manufactured pump fiber and gain fiber equivalent to circular cross sections according to a requirement, after that, on basis of above theoretical calculation, an adjustment within c % is performed to the actual diameter of the pump fiber and the actual diameter of the gain fiber, c is an empirical value. In the embodiment shown in FIG. 3a and FIG. 3b, the diameter ds of the pump light absorption segment of the gain fiber 31 remains invariable, the diameter dp.sub.i of the pump fiber 41 gradually decreases from the pump light input side, and satisfies the following formula:

[00008]$P*\left[1-10^\left(-a*\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}^2}*L/n\right)\right]=P*\left[10^\left(-a*\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}^2}*L/n\right)\right]*\left[1-10^\left(-a*\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_2^2+{\mathrm{ds}}^2}*L/n\right)\right]=\mathrm{.Math.}=P*\left\{10^\left[-a*\left(\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_1^2+{\mathrm{ds}}^2}+\mathrm{.Math.}+\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_{n-1}^2+{\mathrm{ds}}^2}\right)*L/n\right]\right\}*\left\{1-10^\left[-a*\frac{{\mathrm{ds}}^2}{{\mathrm{dp}}_n^2+{\mathrm{ds}}^2}*L/n\right]\right\}$

[0084] Because the pump light 41 is a passive optical fiber and is tapered, thus a production difficulty of aforementioned structure is relative less. It is apparently, in other embodiment, the diameter dp of the pump fiber can also remain invariable, the diameter dp.sub.i of the pump light absorption segment of the gain fiber gradually increases from the pump light input side.

[0085] The embodiment shown in FIG. 3a and FIG. 3b adopts a unidirectional pump structure having a side-end-pumped input, in other embodiment, the homogeneous pump structure a bidirectional pump structure having a two-end-pumped input, as shown in FIG. 4a and FIG. 4B. Two gain fibers 31 and 32 which are connected to each other and two pump fibers 41 and 42 which are connected to each other are included. The two gain fibers 31 and 32 are mirror symmetric about a position where they are connected. The two pump fibers 41 and 42 are mirror symmetric about a position where they are connected.

[0086] The above are several embodiments of the present invention described in detail, and should not be deemed as limitations to the scope of the present invention. It should be noted that variations and improvements will become apparent to those skilled in the art to which the present invention pertains without departing from its spirit and scope. Therefore, the scope of the present invention is defined by the appended claims.