Methods and devices for simulating electromagnetic beams

A computer implemented method for simulating an electromagnetic beam, the method comprising:

• simulating transmission and reflection of a light beam entering a diffusive material, the light beam incident on an entrance boundary of the diffusive material and propagating through the diffusive material towards an exit boundary of the diffusive material;
• and
• generating, based on the simulation of the light beam, a first reduced order model describing transmission and reflection for the light beam entering the diffusive material as functions of a thickness of the diffusive material and an incident angle of the light beam entering the diffusive material, wherein the first reduced order model is configured to assign one or more reflection and/or transmission parameters for the light beam incident on the entrance boundary based on the diffusive material, the one or more reflection and/or transmission parameters for the light beam incident on the entrance boundary are assigned according to parametric function mapping of the incident angle of the light beam at the entrance boundary of the diffusive material;
• generating, based on the simulation of the light beam, a second reduced order model describing the transmission and reflection for the light beam exiting the diffusive material as functions of the thickness of the diffusive material and an incident angle of the light beam exiting the diffusive material, wherein the second reduced order model is configured to assign one or more reflection and/or transmission parameters for the propagating towards the exit boundary based on the diffusive material, the one or more reflection and/or transmission parameters for the propagating assigned according to parametric function mapping of incident angles of the propagation at the exit boundary of the diffusive material;
• determining a bidirectional transmission distribution function (BTDF) and a bidirectional reflection distribution function (BRDF) based on the first reduced order model and the second reduced order model invoked for the diffusive material;
• and
• simulating transmission and reflection of the light beam propagating through the diffusive material based on the determined BTDF and BRDF.

A non-transitory machine readable medium storing executable program instructions which when executed by a data processing system cause the data processing system to perform a method comprising:

• simulating transmission and reflection of a light beam incident on an entrance boundary of a diffusive material and propagating through the diffusive material towards an exit boundary of the diffusive material;
• providing a first reduced order model describing transmission and reflection for the light beam entering the diffusive material as functions of a thickness of the diffusive material and an incident angle of the light beam entering the diffusive material, wherein the first reduced order model is configured to assign one or more reflection and/or transmission parameters for the light beam incident on the entrance boundary based on the diffusive material, the one or more reflection and/or transmission parameters for the light beam incident on the entrance boundary are assigned according to parametric function mapping of the incident angle of light beam at the entrance boundary of the diffusive material;
• providing a second reduced order model describing transmission and reflection for the light beam exiting the diffusive material as functions of the thickness of the diffusive material and an incident angle of the light beam exiting the diffusive material, wherein the second reduced order model is configured to assign one or more reflection and/or transmission parameters for the propagating towards the exit boundary based on the diffusive material, the one or more reflection and/or transmission parameters for the propagating assigned according to parametric function mapping of incident angles of the propagation at the exit boundary of the diffusive material;
• determining a bidirectional transmission distribution function (BTDF) and a bidirectional reflection distribution function (BRDF) based on the first reduced order model and the second reduced order model invoked for the diffusive material;
• and
• simulating transmission and reflection of the light beam propagating through the diffusive material based on the determined BTDF and BRDF.

A system, comprising

• a memory storing instructions;
• one or more processors coupled to the memory, the one or more processors executing the instructions from the memory, the one or more processors configured to perform a method comprising:
• providing a representation of a light beam transmitting towards a diffusive material, the light beam incident on a first boundary layer of the diffusive material, and propagating through the diffusive material towards a second boundary layer of the diffusive material;
• invoking a first model to assign one or more reflection and/or transmission parameters for the light beam incident on the first boundary layer based on the diffusive material, wherein the one or more reflection and/or transmission parameters for the light beam incident on an entrance boundary are assigned according to parametric function mapping of an incident angle of the light beam at the first boundary layer;
• invoking a second model to assign one or more reflection and/or transmission parameters for the propagating towards the second boundary layer based on the diffusive material, the one or more reflection and/or transmission parameters for the propagating assigned according to parametric function mapping of incident angles of the propagation at the second boundary layer;
• determining a bidirectional transmission distribution function (BTDF) and a bidirectional reflection distribution function (BRDF) based on the first model and the second model invoked for the diffusive material;
• and
• simulating transmission and reflection of the light beam propagating through the diffusive material based on the determined BTDF and BRDF.