SYSTEM AND METHOD FOR DESIGNING A SCANNING MIRROR ASSEMBLY WITH AN OPTIMIZED FREQUENCY BANDWIDTH BASED ON SPRING CONSTANT INFORMATION

1 . A method for designing a scanning mirror assembly for an optical sensing system, comprising:

receiving, by a communication interface, an initial set of design parameters for the scanning mirror assembly;

simulating first scanning mirror oscillation, by at least one processor, based on the initial set of design parameters using a computer model to compute an initial non-linear spring constant associated with at least one spring of the scanning mirror assembly;

adjusting, by the at least one processor, the initial set of design parameters for the scanning mirror assembly based on a comparison between the initial non-linear spring constant and a target non-linear spring constant, the adjusted set of design parameters including at least one structural alteration to the at least one spring; and

outputting, by the at least one processor, the at least one structural alteration to be implemented on the at least one spring,

wherein the initial set of design parameters and the adjusted set of design parameters are associated with a same mirror oscillation frequency and linear spring constant.

2 . The method of claim 1 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

determining, by the at least one processor, a plurality of nodes associated with a scanning mirror of the scanning mirror assembly, the scanning mirror being a non-rigid body;

computing, by the at least one processor, an angular displacement associated with each of the plurality of nodes, the angular displacement of a node being computed based at least in part on an associated vertical displacement and distance to an axis of rotation of the scanning mirror; and

computing, by the at least one processor, an average angular displacement of the scanning mirror assembly based at least in part on the angular displacement computed for each of the plurality of nodes.

3 . The method of claim 2 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

computing, by the at least one processor, a torque as a function of the average angular displacement across a scanning mirror angle associated with the scanning mirror assembly; and

generating, by the at least one processor, a data set that correlates the torque and the angular displacement across the scanning mirror angle associated with the scanning mirror assembly as an output of the computer model.

4 . The method of claim 3 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

performing, by the at least one processor, cubic polynomial curve fitting using the data set that correlates torque and the angular displacement across the scanning mirror angle of the scanning mirror assembly,

wherein the initial non-linear spring constant is computed based at least in part on the cubic polynomial curve fitting.

5 . The method of claim 1 , further comprising:

simulating second scanning mirror oscillation, by the at least one processor, based on the adjusted set of design parameters using the computer model to compute an adjusted non-linear spring constant associated with at least one spring of the scanning mirror assembly.

6 . The method of claim 5 , further comprising:

generating, by the at least one processor, a frequency response curve associated with the initial non-linear spring constant and the adjusted non-linear spring constant.

7 . The method of claim 1 , wherein the at least one structural alteration to the at least one spring comprises one or more of a change in size of the at least one spring, a change in number of springs of the at least one spring, a change in spacing between two or more springs of the at least one spring, or a change in angle between the at least one spring and a component of the scanning mirror assembly.

8 . An apparatus for designing a scanning mirror assembly for an optical sensing system, comprising:

a communication interface configured to receive an initial set of design parameters of the scanning mirror assembly;

a memory configured to store a computer model configured to simulate scanning mirror oscillation; and

at least one processor coupled to the memory and configured to:

simulate first scanning mirror oscillation based on the initial set of design parameters using the computer model to compute an initial non-linear spring constant associated with at least one spring of the scanning mirror assembly;

adjust the initial set of design parameters for the scanning mirror assembly based on a comparison between the initial non-linear spring constant and a target non-linear spring constant, the adjusted set of design parameters including at least one structural alteration to the at least one spring; and

output the at least one structural alteration to be implemented on the at least one spring,

wherein the initial set of design parameters and the adjusted set of design parameters are associated with a same mirror oscillation frequency and linear spring constant.

9 . The apparatus of claim 8 , wherein the at least one processor is configured to simulate the first scanning mirror oscillation by:

determining a plurality of nodes associated with a scanning mirror of the scanning mirror assembly, the scanning mirror being a non-rigid body;

computing an angular displacement associated with each of the plurality of nodes, the angular displacement of a node being computed based at least in part on an associated vertical displacement and distance to an axis of rotation of the scanning mirror; and

computing an average angular displacement of the scanning mirror assembly based at least in part on the angular displacement computed for each of the plurality of nodes.

10 . The apparatus of claim 9 , wherein the at least one processor is configured to simulate the first scanning mirror oscillation by:

compute a torque as a function of the average angular displacement across a scanning mirror angle associated with the scanning mirror assembly; and

generate a data set that correlates the torque and the angular displacement across the scanning mirror angle associated with the scanning mirror assembly as an output of the computer model.

11 . The apparatus of claim 10 , wherein the at least one processor is configured to simulate the first scanning mirror oscillation by:

perform cubic polynomial curve fitting using the data set that correlates torque and the angular displacement across the scanning mirror angle of the scanning mirror assembly,

wherein the initial non-linear spring constant is computed based at least in part on the cubic polynomial curve fitting.

12 . The apparatus of claim 8 , wherein the at least one processor is further configured to:

simulate second scanning mirror oscillation based on the adjusted set of design parameters using the computer model to compute an adjusted non-linear spring constant associated with at least one spring of the scanning mirror assembly.

13 . The apparatus of claim 12 , wherein the at least one processor is further configured to:

generate a frequency response curve associated with the initial non-linear spring constant and the adjusted non-linear spring constant.

14 . The apparatus of claim 8 , wherein the at least one structural alteration to the at least one spring comprises one or more of a change in size of the at least one spring, a change in number of springs of the at least one spring, a change in spacing between two or more springs of the at least one spring, or a change in angle between the at least one spring and a component of the scanning mirror assembly.

15 . A non-transitory computer-readable medium having stored thereon computer instructions, when executed by at least one processor, configured to perform a design method for a scanning mirror assembly of an optical sensing system, the method comprises

receiving an initial set of design parameters for the scanning mirror assembly;

simulating first scanning mirror oscillation, by at least one processor, based on the initial set of design parameters using a computer model to compute an initial non-linear spring constant associated with at least one spring of the scanning mirror assembly;

adjusting the initial set of design parameters for the scanning mirror assembly based on a comparison between the initial non-linear spring constant and a target non-linear spring constant, the adjusted set of design parameters including at least one structural alteration to the at least one spring; and

outputting the at least one structural alteration to be implemented on the at least one spring,

wherein the initial set of design parameters and the adjusted set of design parameters are associated with a same mirror oscillation frequency and linear spring constant.

16 . The non-transitory computer-readable medium of claim 15 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

determining a plurality of nodes associated with a scanning mirror of the scanning mirror assembly, the scanning mirror being a non-rigid body;

computing an angular displacement associated with each of the plurality of nodes, the angular displacement of a node being computed based at least in part on an associated vertical displacement and distance to an axis of rotation of the scanning mirror; and

computing an average angular displacement of the scanning mirror assembly based at least in part on the angular displacement computed for each of the plurality of nodes.

17 . The non-transitory computer-readable medium of claim 16 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

computing a torque as a function of average angular displacement across a scanning mirror angle associated with the scanning mirror assembly; and

generating a data set that correlates the torque and the angular displacement across the scanning mirror angle associated with the scanning mirror assembly as an output of the computer model.

18 . The non-transitory computer-readable medium of claim 17 , wherein the simulating scanning mirror oscillation based on the initial set of design parameters using the computer model comprises:

performing cubic polynomial curve fitting using the data set that correlates torque and the angular displacement across the scanning mirror angle of the scanning mirror assembly,

wherein the initial non-linear spring constant is computed based at least in part on the cubic polynomial curve fitting.

19 . The non-transitory computer-readable medium of claim 15 , wherein the method further comprises:

simulating second scanning mirror oscillation based on the adjusted set of design parameters using the computer model to compute an adjusted non-linear spring constant associated with at least one spring of the scanning mirror assembly.

20 . The non-transitory computer-readable medium of claim 19 , wherein the method further comprises:

generating a frequency response curve associated with the initial non-linear spring constant and the adjusted non-linear spring constant.