Embodiments of the present disclosure relate to a frequency scanning antenna, and more particularly, to a radiation elements less wide-angle Frequency Scanning Antenna (FSA) and a method thereof.
[0002] Frequency scanning antenna (FSA) is a type of antenna which is used as an integral part of the low-cost beam scanning systems developed for different applications. In conventional approaches, the FSA the antenna arrays, wherein all radiating elements (antennas) are connected serially one after another and a main beam deflection (which is an angular coverage) is directly related to change in an input RF frequency signal. In such conventional approaches, the FSA includes three sections such as a radiating elements section which is mostly micro strip patch antennas, a beam forming section/ circuitry and a beam steering section/ circuitry. The beam forming circuitry includes power combining circuitry wherein radiations from the individual antenna elements are combined in a specific (weighted) manner and includes one of couplers, combiners or stepped impedance lines. The beam steering circuitry deflects the main beam in space within a specified scan angle; and an amount of phase shift required to deflect the main beam to the desired scan angle is realized through the phase shift produced by transmission lines which interconnect the radiating elements in series. Further, the RF signal is subjected to delay as it travels through the transmission lines. This delay in turn produces the phase shift, wherein the phase shift is directly proportional to a length of the transmission lines and change in the input RF frequency. Wide scan angle necessitates long transmission line lengths between successive radiating elements. The radiating elements are spatially distributed with a uniform spacing proportional to the wavelength to limit grating lobes and radiation pattern distortion. Hence long lengths of transmission lines are meandered. However, the long lengths of meandered transmission lines result in high mutual coupling, and excessive transmission losses. Also, high transmission losses in the feed line drastically reduces the RF signal power availability to the farther end radiating elements, hence farther end radiating elements become defunct. To overcome this, the radiating elements are restricted to only 8 or 10 numbers which limits the usage of the FSA. All the above mentioned limitations make the conventional approach less reliable, less efficient, and expensive as it includes elements in larger quantity. The counter effect of this reduced number of radiating elements, is low directivity and large beam width. Alternative methods are adopted for beam forming and energizing the radiating elements. Micro strip transmission lines and Micro strip patches are used as delay lines and radiating elements respectively. Radiating elements are coupled to the delay lines through the beam forming circuits consisting of either couplers or different impedance lines to realize required power distribution to all the radiating elements which is a necessity for controlling the slide lobes.
[0003] Hence, there is a need for an improved wide-angle Frequency Scanning Antenna (FSA) and a method thereof to address the aforementioned issues.
BRIEF DESCRIPTION
[0004] In accordance with an embodiment of the present disclosure, a wide-angle Frequency Scanning Antenna (FSA) is disclosed. The FSA includes at least two substrate waveguide layers of a pre-defined thickness, wherein the at least two substrate waveguide comprises a top substrate waveguide layer and a bottom substrate waveguide layer. The FSA also includes a transmission line of a pre-defined length placed in-between the bottom substrate waveguide layer and the top substrate waveguide layer, wherein the transmission line is meandered to obtain a pre-defined number of meandered transmission line elements, wherein the pre-defined number of meandered transmission line elements is configured to convert the undesired radiations from one or more edges to desired radiations. Wherein the transmission line structure is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers to control the radiations from the corresponding one or more edges.
[0005] In accordance with another embodiment of the present disclosure, an apparatus for a wide-angle Frequency Scanning Antenna (FSA) is disclosed. The apparatus includes at least two substrate waveguide layers of a pre-defined thickness, wherein the at least two substrate waveguide comprises a top substrate waveguide layer and a bottom substrate waveguide layer. The apparatus also includes a transmission line of a pre-defined length placed in-between the bottom substrate waveguide layer and the top substrate waveguide layer, wherein the transmission line is meandered to obtain a pre-defined number of meandered transmission line elements, wherein the pre-defined number of meandered transmission line elements is configured to convert the undesired radiations from one or more edges to desired radiations. Wherein the transmission line structure is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers to control the radiations from the corresponding one or more edges. The apparatus also includes one or more processors operatively coupled to transmission line structure. The apparatus also includes a gradient calculation module configured to calculate a phase gradient for a pre-defined scan angle. The apparatus also includes a length computation module configured to compute and calculate a transmission line length for desired phase gradient angle. The apparatus also includes an angle definition module configured to check for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements. The apparatus also includes FSA performance attributes verification module to verify a set of attributes being satisfied by the FSA for return loss, scan angle, radiation pattern for directivity and side lobe level.
[0006] In accordance with yet another embodiment of the present disclosure, method for implementing a wide-angle Frequency Scanning Antenna (FSA) is disclosed. The method includes calculating a phase gradient for a pre-defined scan angle. The method also includes calculating a transmission line length for desired phase gradient angle. The method also includes generating a pre-defined number of transmission line elements to be meandered into a pre-defined form. The method also includes checking for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements. The method also includes chamfering one or more parameters of each of the pre-defined number of transmission line elements for obtaining a transmission line, for enabling transmission of at least one of current distribution, radiation, or a combination thereof. The method also includes verifying a set of attributes being satisfied by the transmission line for verifying return loss of the transmission from the transmission line.
[0007] To further clarify the advantages and features of the present disclosure, a more particular description of the disclosure will follow by reference to specific embodiments thereof, which are illustrated in the appended figures. It is to be appreciated that these figures depict only typical embodiments of the disclosure and are therefore not to be considered limiting in scope. The disclosure will be described and explained with additional specificity and detail with the appended figures.
BRIEF DESCRIPTION OF DRAWINGS
The disclosure will be described and explained with additional specificity and detail with the accompanying figures in which:
[0008] FIG. 1a is a schematic representation of a bottom substrate waveguide layer with a pre-defined number of meandered transmission line elements of a wide-angle Frequency Scanning Antenna (FSA) in accordance with an embodiment of the present disclosure;
[0009] FIG. 1b is a schematic representation of a top substrate waveguide layer the wide-angle Frequency Scanning Antenna (FSA) in accordance with an embodiment of the present disclosure;
[0010] FIG. 1c is a schematic representation of an isometric view and a top view of the FSA in accordance with an embodiment of the present disclosure;
[0011] FIG. 2 is a schematic representation of an apparatus for the wide-angle Frequency Scanning Antenna (FSA) of FIG. 1c in accordance with an embodiment of the present disclosure;
[0012] FIG. 3 is a schematic representation of an exemplary embodiment of radiations or current distribution across 20 equally spaced meandered transmission line elements of the wide-angle Frequency Scanning Antenna (FSA) of FIG. 1c in accordance with an embodiment of the present disclosure;
[0013] FIG. 4 is a schematic representation of another exemplary embodiment of radiations or current distribution across 20 equally spaced meandered transmission line elements guided through the substrate wave guide of FIG. 1c in accordance with an embodiment of the present disclosure;
[0014] FIG. 5a and FIG. 5b are schematic representations of an exemplary embodiment of a plurality of chamfered edges of the meandered transmission line elements of FIG. 1c in accordance with an embodiment of the present disclosure;
[0015] FIG. 6 is a graphical representation of an exemplary embodiment of an experimental result of return loss measurement on the FSA of FIG. 1c in accordance with an embodiment of the present disclosure;
[0016] FIG. 7 is a graphical representation of an exemplary embodiment of an experimental result of a radiation pattern of the FSA of FIG. 1c in accordance with an embodiment of the present disclosure; and
[0017] FIG. 8 is a flow chart representing steps involved in a method for implementing a wide-angle Frequency Scanning Antenna (FSA) in accordance with an embodiment of the present disclosure.
[0018] Further, those skilled in the art will appreciate that elements in the figures are illustrated for simplicity and may not have necessarily been drawn to scale. Furthermore, in terms of the construction of the device, one or more components of the device may have been represented in the figures by conventional symbols, and the figures may show only those specific details that are pertinent to understanding the embodiments of the present invention so as not to obscure the figures with details that will be readily apparent to those skilled in the art having the benefit of the description herein.
DETAILED DESCRIPTION
[0019] For the purpose of promoting an understanding of the principles of the invention, reference will now be made to the embodiment illustrated in the figures and specific language will be used to describe them. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended. Such alterations and further modifications in the illustrated system, and such further applications of the principles of the invention as would normally occur to those skilled in the art are to be construed as being within the scope of the present invention.
[0020] It will be understood by those skilled in the art that the foregoing general description and the following detailed description are exemplary and explanatory of the invention and are not intended to be restrictive thereof.
[0021] The terms "comprises", "comprising", or any other variations thereof, are intended to cover a non-exclusive inclusion, such that a process or method that comprises a list of steps does not include only those steps but may include other steps not expressly listed or inherent to such a process or method. Similarly, one or more devices or sub-systems or elements or structures or components preceded by "comprises... a" does not, without more constraints, preclude the existence of other devices, sub-systems, elements, structures, components, additional devices, additional sub-systems, additional elements, additional structures or additional components. Appearances of the phrase "in an embodiment", "in another embodiment" and similar language throughout this specification may, but not necessarily do, all refer to the same embodiment.
[0022] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by those skilled in the art to which this invention belongs. The system, methods, and examples provided herein are only illustrative and not intended to be limiting.
[0023] Embodiments of the present disclosure relates to a radiation elements less wide-angle Frequency Scanning Antenna (FSA) and a method thereof. As used herein, the term ‘radiation element’ is defined as an element used for radiation, wherein radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium. Also, the term, FSA is defined as a type of antenna which is used as an integral part of the low-cost beam scanning systems developed for different applications.
[0024] Turning to FIGs. 1a, 1b and 1c; FIG. 1a is a schematic representation of a bottom substrate waveguide layer (40) with a pre-defined number of meandered transmission line elements (60) of a wide-angle Frequency Scanning Antenna (FSA) (10) in accordance with an embodiment of the present disclosure. FIG. 1b is a schematic representation of a top substrate waveguide layer (30) the wide-angle Frequency Scanning Antenna (FSA) (10) in accordance with an embodiment of the present disclosure. FIG. 1c is a schematic representation of a top view of the FSA (10) in accordance with an embodiment of the present disclosure. In one specific embodiment, the FSA (10) may be fabricated based on one or more parameters such as, but not limited to, low form factor of about 215x62mm, a wide scanning angle of about 90 degrees, a high directivity of about 20 ±2 dB directivity, a low side lobe level of about 13 to 15 dB, and a combination thereof.
[0025] The FSA (10) includes at least two substrate waveguide layers (20) of a pre-defined thickness. The at least two substrate waveguide layers (20) includes a top substrate waveguide layer (30) and a bottom substrate waveguide layer (40). In one exemplary embodiment, the FSA (10) may function in a in KU band, with a frequency band width of about 1.8 GHz (15.6 to 17.4 GHz) for Radar applications, or the like.
[0026] The FSA (10) also includes a transmission line (50) of a pre-defined length placed in-between the bottom substrate waveguide layer (40) and the top substrate waveguide layer (30). As used herein, the term ‘transmission line’ is defined as a specialized cable or other structure designed to conduct electromagnetic waves in a contained manner. Further, the transmission line (50) is meandered to obtain a pre-defined number of meandered transmission line elements (60). As used herein, the term ‘meandered’ is defined as A meander is one of a series of regular sinuous curves, bends, loops, turns, or windings of a material. In one specific embodiment, the transmission line (50) may be created using at least one of Rogers’s low loss, high frequency, low dielectric constant 2.2, 20 mil substrate, and a combination thereof. In one embodiment, the one or more parameters may be calculated in an EM simulation tool.
[0027] In such embodiment, the pre-defined number of meandered transmission line elements (60) may be meandered into ‘U’ shape. Further, the pre-defined number of meandered transmission line elements (60) may be 20 in number. In such embodiment, each of the plurality of meandered transmission line elements (60) may be serially connected, equally spaced and may be consecutive to each other.
[0028] Furthermore, the pre-defined number of meandered transmission line elements (60) are configured to convert the undesired radiations from one or more edges (70) (as shown in FIGs. 5a and 5b) to desired radiations. In one embodiment, the undesired radiations may include undesired radiations in a KU band.
[0029] Referring to the above-mentioned embodiment, a phase gradient required to produce the scan angle of about 90-degree (+/- 45 degrees) may be calculated. Further, based on the scan angle, delay or a transmission line length, is estimated which may be, but not limited to six guided wave lengths, represented as 6?g. This length of 6?g transmission line is meandered in to a “U” shape, to maintain a spatial center to center distance of 0.5 ?0. Between two meandered line sections.
[0030] Further, the transmission line (50) is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers (20) to control the radiations from the corresponding one or more edges (70). In one specific embodiment, both the side faces of each of the plurality of meandered line elements (60) which may be two edges per meandered line elements may be chamfered as desired at a specific length and angles from the one or more edges (70), to convert the chamfered edge faces as radiating elements to produce excessive radiations. Also, the 20 U shaped meandered line elements (60) may be configured to guide the RF energy to travel with in the corresponding at least two substrate waveguide layers (20) and to control the radiations from the one or more chamfered edges (70).
[0031] In one embodiment, a beginning point (90a) and a terminating point (90b) of the meandered transmission line elements (60) are extended outside a suspended line structure and transformed to one or more micro strip line to terminate via at least one SMA connector (80) at each of the beginning point (90a) and the termination point (90b) respectively. In such embodiment, the one or more micro strip line may be 50 ohms micro strip line, which may be terminated by a 50 Ohms SMA connector (80).
[0032] FIG. 2 is a schematic representation of an apparatus (100) for the wide-angle Frequency Scanning Antenna (FSA) of FIG. 1c in accordance with an embodiment of the present disclosure. The apparatus (100) includes at least two substrate waveguide layers (20) of a pre-defined thickness, wherein the at least two substrate waveguide layers (20) comprises a top substrate waveguide layer (30) and a bottom substrate waveguide layer (40). The apparatus (100) also includes a transmission line (50) of a pre-defined length placed in-between the bottom substrate waveguide layer (40) and the top substrate waveguide layer (30), wherein the transmission line (50) is meandered to obtain a pre-defined number of meandered transmission line elements (60), wherein the pre-defined number of meandered transmission line elements (60) is configured to convert the undesired radiations from one or more edges (70) to desired radiations. The transmission line (50) is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers (20) to control the radiations from the corresponding one or more edges (70).
[0033] The apparatus (100) also includes one or more processors (110) operatively coupled to transmission line (50). The apparatus (100) further includes a gradient calculation module (120) configured to calculate a phase gradient for a pre-defined scan angle.
[0034] The apparatus (100) also includes a length computation module (130) configured to compute and calculate a transmission line length for desired phase gradient angle. The apparatus (100) further includes an angle definition module (140) configured to check for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements (60). The apparatus (100) also includes a transmission attribute verification module (150) configured to verify a set of attributes being satisfied by the transmission line for verifying return loss of the transmission from the transmission line (50).
[0035] It should be noted that all the elements and the corresponding embodiments as disclosed in FIG. 1 are substantially similar to corresponding elements of FIG. 2, therefore all the embodiments of FIG. 1 hold good for FIG. 2.
[0036] Further, the meandered transmission line elements (60) may be excited and swept over the frequency band. Current distribution (160) is optimized by tuning the widths, lengths, and chamfered angles to produce maximum constructive surface wave radiations (as shown in FIG. 3).
[0037] Turning to FIG. 4, FIG. 4 is a schematic representation of another exemplary embodiment of radiations or current distribution across 20 equally spaced meandered transmission line elements guided through the substrate wave guide of FIG. 1c in accordance with an embodiment of the present disclosure. The radiations across all the meandered line elements (60) are guided through the at least two substrate waveguide layers (20) resulting in the formation of high directivity main lobe. The width and spacing between each of the plurality of meandered line elements (60), the substrate thickness, dielectric constant, and loss tangent are finalized after many optimization cycles. The same is represented in three dimensions along an X-axis (180), a Y-axis (190) and a Z-axis (200).
[0038] .
[0039] Turning to FIG. 6, FIG. 6 is a graphical representation of an exemplary embodiment of an experimental result of return loss measurement (170) on the FSA of FIG. 1c in accordance with an embodiment of the present disclosure. A graphical curve (220) is obtained upon joining a plurality of pointed for different parameters along X-axis (230) and Y-axis (240) respectively. The X-axis (230) represents frequency in GHz and the Y-axis (240) represents frequency in dB. A point 1 on the graphical curve (220) represents 16501 MHz and -10.07 dB. Also, a point 2 on the graphical curve (220) represents 15600.10 MHz and -9.03 dB. Further, a point 3 on the graphical curve (220) represents 17401.901 MHz and -10.32 dB.
[0040] Turning to FIG. 7, FIG. 7 is a graphical representation (250) of an exemplary embodiment of an experimental result of a radiation pattern of the FSA of FIG. 1c in accordance with an embodiment of the present disclosure. The radiation pattern test results (270) which may be an Anechoic chamber tests may be conducted on one or more prototypes fabricated based on simulation results. The radiation pattern (270) may be represented on a graphical area having a circular reading (260) of directivity.
[0041] FIG. 8 is a flow chart representing steps involved in a method (280) for implementing a wide-angle Frequency Scanning Antenna (FSA) in accordance with an embodiment of the present disclosure. The method (280) includes calculating a phase gradient for a pre-defined scan angle in step 290. In one embodiment, calculating the phase gradient may include calculating the phase gradient by a gradient calculation module.
[0042] The method (280) also includes calculating a transmission line length for desired phase gradient angle in step 300. In one embodiment, calculating the transmission line length may include transmission line length by a length computation module.
[0043] Furthermore, the method (280) includes generating a pre-defined number of transmission line elements to be meandered into a pre-defined form in step 310. In one embodiment, generating the pre-defined number of transmission line elements may include generating ng the pre-defined number of transmission line elements to be meandered into ‘U’ shape. In such embodiment, the pre-defined number of transmission line elements may be 20 in number.
[0044] The method (280) also includes checking for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements in step 320. In one embodiment, checking for the defined scan angle may include checking for a defined scan angle by an angle definition module.
[0045] The method (280) also includes chamfering one or more parameters of each of the pre-defined number of transmission line elements for obtaining a transmission line, for enabling transmission of at least one of current distribution, radiation, or a combination thereof in step 330. In one exemplary embodiment, chamfering the one or more parameters may include chamfering at least one of edges and tune of at least one of length and width angles of each of the pre-defined number of transmission line elements.
[0046] Furthermore, the method (280) includes verifying a set of attributes being satisfied by the transmission line for verifying return loss of the transmission from the transmission line in step 340. In one embodiment, verifying the set of attributes may include verifying the set of attributes by a transmission attribute verification module. In one exemplary embodiment, verifying the set of attributes may include verifying directivity of a main lobe, directivity of a plurality of side lobes, or a combination thereof, wherein the directivity of the main lobe corresponds to about 20 dB, wherein the directivity of the plurality of side lobes corresponds to about 13-16 dB. In such embodiment, the method (280) may further include verifying at least one of the directivity of the plurality of side lobes, beam width of the plurality of side lobes, or a combination thereof with a pre-defined set of values, for re-optimizing one or more parameters and for re-simulating the pre-defined number of transmission line elements with at least two new substrate waveguide layers to match the pre-defined set of values.
[0047] Various embodiments of the disclosure enable the FSA to be fabricated without radiating elements. Also, the undesired radiations at KU band from the discontinuities, edges and junctions of the meandered transmission lines are converted to desired radiations and are controlled in a novel substrate wave guide. At high frequencies radiations occur at the junctions of the transmission line, which is an undesired phenomenon. Normally sharper edges and junctions of the meandered lines are rounded to avoid and reduce unwanted radiations. However, the FSA as disclosed in the application overcomes these undesired radiations and are controlled and constructively combined to form the main lobe. The net effect is integration of both the beam steering and beam forming circuits, eliminating conventional micro strip patch radiating elements responsible for the beamforming and the directivity.
[0048] While specific language has been used to describe the disclosure, any limitations arising on account of the same are not intended. As would be apparent to a person skilled in the art, various working modifications may be made to the method in order to implement the inventive concept as taught herein.
[0049] The figures and the foregoing description give examples of embodiments. Those skilled in the art will appreciate that one or more of the described elements may well be combined into a single functional element. Alternatively, certain elements may be split into multiple functional elements. Elements from one embodiment may be added to another embodiment. For example, the order of processes described herein may be changed and are not limited to the manner described herein. Moreover, the actions of any flow diagram need not be implemented in the order shown; nor do all of the acts need to be necessarily performed. Also, those acts that are not dependent on other acts may be performed in parallel with the other acts. The scope of embodiments is by no means limited by these specific examples.

We Claim:

1. A wide-angle Frequency Scanning Antenna (FSA) (10) comprising:
at least two substrate waveguide layers (20) of a pre-defined thickness, wherein the at least two substrate waveguide layers (20) comprises a top substrate waveguide layer (30) and a bottom substrate waveguide layer (40); and
a transmission line (50) of a pre-defined length placed in-between the bottom substrate waveguide layer (40) and the top substrate waveguide layer (30), wherein the transmission line (50) is meandered to obtain a pre-defined number of meandered transmission line elements (60), wherein the pre-defined number of meandered transmission line elements (60) is configured to convert the undesired radiations from one or more edges (70) to desired radiations,
wherein the transmission line (50) is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers (20) to control the radiations from the corresponding one or more edges (70).
2. The antenna (10) as claimed in claim 1, wherein the undesired radiations comprises undesired radiations in a KU band.
3. The antenna (10) as claimed in claim 1, wherein the transmission line (50) is created using at least one of Rogers’s low loss, high frequency, low dielectric constant, 20 mil substrate, and a combination thereof.
4. The antenna (10) as claimed in claim 1, wherein a beginning point (90a) and a terminating point (90b) of the meandered transmission line elements (60) are extended outside a suspended line structure and transformed to one or more micro strip line to terminate via at least one SMA connector (80) at each of the beginning point (90a) and the termination point (90b) respectively.
5. An apparatus (100) for a wide-angle Frequency Scanning Antenna (FSA) (10) comprising:
at least two substrate waveguide layers (20) of a pre-defined thickness, wherein the at least two substrate waveguide layers (20) comprises a top substrate waveguide layer (30) and a bottom substrate waveguide layer (40); and
a transmission line (50) of a pre-defined length placed in-between the bottom substrate waveguide layer (40) and the top substrate waveguide layer (30), wherein the transmission line (50) is meandered to obtain a pre-defined number of meandered transmission line elements (60), wherein the pre-defined number of meandered transmission line elements (60) is configured to convert the undesired radiations from one or more edges (70) to desired radiations,
wherein the transmission line (50) is configured to guide radio frequency (RF) energy to travel within the corresponding at least two substrate waveguide layers (20) to control the radiations from the corresponding one or more edges (70);
one or more processors (110) operatively coupled to transmission line (50);
a gradient calculation module (120) operable by the one or more processors (110), and configured to calculate a phase gradient for a pre-defined scan angle;
a length computation module (130) operable by the one or more processors (110), and configured to compute and calculate a transmission line length for desired phase gradient angle;
an angle definition module (140) operable by the one or more processors (110), and configured to check for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements (60); and
a transmission attribute verification module (150) operable by the one or more processors (110), and configured to verify a set of attributes being satisfied by the transmission line for verifying return loss of the transmission from the transmission line (50).
6. A method (280) for implementing a wide-angle Frequency Scanning Antenna (FSA) comprising:
calculating, by a gradient calculation module, a phase gradient for a pre-defined scan angle; (290)
calculating, by a length computation module, a transmission line length for desired phase gradient angle; (300)
generating a pre-defined number of transmission line elements to be meandered into a pre-defined form; (310)
checking, by an angle definition module, for a defined scan angle upon simulating for a phase angle gradient across each of the pre-defined number of transmission line elements; (320)
chamfering one or more parameters of each of the pre-defined number of transmission line elements for obtaining a transmission line, for enabling transmission of at least one of current distribution, radiation, or a combination thereof; and (330)
verifying, by a transmission attribute verification module, a set of attributes being satisfied by the transmission line for verifying return loss of the transmission from the transmission line. (340)
7. The method (280) as claimed in claim 6, wherein generating the pre-defined number of transmission line elements to be meandered into the pre-defined form comprises generating the pre-defined number of transmission line elements to be meandered into ‘U’ shape.
8. The method (280) as claimed in claim 6, wherein chamfering the one or more parameters comprises chamfering at least one of edges and tune of at least one of length and width angles of each of the pre-defined number of transmission line elements.
9. The method (280) as claimed in claim 6, wherein verifying the set of attributes comprises verifying directivity of a main lobe, directivity of a plurality of side lobes, or a combination thereof, wherein the directivity of the main lobe corresponds to about 20 dB, wherein the directivity of the plurality of side lobes corresponds to about 13-16 dB.
10. The method (280) as claimed in claim 9, comprising verifying at least one of the directivity of the plurality of side lobes, beam width of the plurality of side lobes, or a combination thereof with a pre-defined set of values, for re-optimizing one or more parameters and for re-simulating the pre-defined number of transmission line elements with at least two new substrate waveguide layers to match the pre-defined set of values.